diff --git a/include/RHEJ/MatrixElement.hh b/include/RHEJ/MatrixElement.hh
index d70102b..6f4a46b 100644
--- a/include/RHEJ/MatrixElement.hh
+++ b/include/RHEJ/MatrixElement.hh
@@ -1,225 +1,219 @@
/** \file
* \brief Contains the MatrixElement Class
*/
#pragma once
#include <functional>
#include "RHEJ/config.hh"
#include "RHEJ/utility.hh"
#include "RHEJ/HiggsCouplingSettings.hh"
#include "CLHEP/Vector/LorentzVector.h"
+typedef CLHEP::HepLorentzVector HLV;
namespace RHEJ{
//! Class to calculate the squares of matrix elements
class MatrixElement{
public:
/** \brief MatrixElement Constructor
* @param alpha_s Function taking the renormalisation scale
* and returning the strong coupling constant
* @param conf General matrix element settings
*/
MatrixElement(
std::function<double (double)> alpha_s,
MatrixElementConfig conf
);
/**
* \brief regulated HEJ matrix element
* @param mur Value of the renormalisation scale
* @param incoming Incoming particles
* @param outgoing Outgoing particles
* @param check_momenta Special treatment for partons inside extremal jets
* @returns The HEJ matrix element including virtual corrections
*
* cf. eq. (22) in \cite Andersen:2011hs
* Incoming particles should be ordered by ascending z momentum.
* Outgoing particles should be ordered by ascending rapidity.
*
* \internal Relation to standard HEJ Met2: MatrixElement = Met2*shat^2/(pdfta*pdftb)
*/
double operator()(
double mur,
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
std::unordered_map<int, std::vector<Particle>> const & decays,
bool check_momenta
) const;
//! HEJ tree-level matrix element
/**
* @param mur Value of the renormalisation scale
* @param incoming Incoming particles
* @param outgoing Outgoing particles
* @param check_momenta Special treatment for partons inside extremal jets
* @returns The HEJ matrix element without virtual corrections
*
* cf. eq. (22) in \cite Andersen:2011hs
* Incoming particles should be ordered by ascending z momentum.
* Outgoing particles should be ordered by ascending rapidity.
*/
double tree(
double mur,
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
std::unordered_map<int, std::vector<Particle>> const & decays,
bool check_momenta
) const;
//! HEJ tree-level matrix element - parametric part
/**
* @param mur Value of the renormalisation scale
* @param incoming Incoming particles
* @param outgoing Outgoing particles
* @returns The parametric part of the tree matrix element
*
* cf. eq. (22) in \cite Andersen:2011hs
*
* The tree level matrix element factorises into a parametric part
* which depends on the theory parameters (alpha_s and scale)
* and a kinematic part comprising the dependence on the particle momenta
* and colour factors. This function returns the former.
*/
double tree_param(
double mur,
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing
) const;
//! HEJ tree-level matrix element - kinematic part
/**
* @param incoming Incoming particles
* @param outgoing Outgoing particles
* @param check_momenta Special treatment for partons inside extremal jets
* @returns The kinematic part of the tree matrix element
*
* cf. eq. (22) in \cite Andersen:2011hs
* Incoming particles should be ordered by ascending z momentum.
* Outgoing particles should be ordered by ascending rapidity.
*
* The tree level matrix element factorises into a parametric part
* which depends on the theory parameters (alpha_s and scale)
* and a kinematic part comprising the dependence on the particle momenta
* and colour factors. This function returns the latter.
*/
double tree_kin(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
std::unordered_map<int, std::vector<Particle>> const & decays,
bool check_momenta
) const;
/**
* \brief Calculates the Virtual Corrections
* @param mur Value of the renormalisation scale
* @param in Incoming particles
* @param out Outgoing particles
* @returns The Virtual Corrections of the Matrix Element
*
* Incoming particles should be ordered by ascending z momentum.
* Outgoing particles should be ordered by ascending rapidity.
*
* The all order virtual corrections to LL in the MRK limit is
* given by replacing 1/t in the scattering amplitude according to the
* lipatov ansatz.
*
* cf. second-to-last line of eq. (22) in \cite Andersen:2011hs
* note that indices are off by one, i.e. out[0].p corresponds to p_1
*/
double virtual_corrections(
double mur,
std::array<Particle, 2> const & in,
std::vector<Particle> const & out
) const;
private:
//! \internal cf. last line of eq. (22) in \cite Andersen:2011hs
double omega0(
double alpha_s, double mur,
fastjet::PseudoJet const & q_j, double lambda
) const;
double tree_kin_jets(
std::array<Particle, 2> const & incoming,
std::vector<Particle> partons,
bool check_momenta
) const;
double tree_kin_W(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
std::unordered_map<int, std::vector<Particle>> const & decays,
bool WPlus,
bool check_momenta
) const;
- double tree_kin_W_FKL(
- std::array<Particle, 2> const & incoming,
- std::vector<Particle> const & outgoing,
- std::unordered_map<int, std::vector<Particle>> const & decays,
- bool WPlus,
- bool check_momenta
- ) const;
double tree_kin_Higgs(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
bool check_momenta
) const;
double tree_kin_Higgs_first(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
bool check_momenta
) const;
double tree_kin_Higgs_last(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
bool check_momenta
) const;
/**
* \internal
* \brief Higgs inbetween extremal partons.
*
* Note that in the case of unordered emission, the Higgs is *always*
* treated as if in between the extremal (FKL) partons, even if its
* rapidity is outside the extremal parton rapidities
*/
double tree_kin_Higgs_between(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
bool check_momenta
) const;
double tree_param_partons(
double alpha_s, double mur,
std::vector<Particle> const & partons
) const;
std::vector<int> in_extremal_jet_indices(
std::vector<fastjet::PseudoJet> const & partons
) const;
std::vector<Particle> tag_extremal_jet_partons(
std::array<Particle, 2> const & incoming,
std::vector<Particle> out_partons, bool check_momenta
) const;
double MH2_forwardH(
CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
pid::ParticleID type2,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in,
CLHEP::HepLorentzVector pH,
double t1, double t2
) const;
std::function<double (double)> alpha_s_;
MatrixElementConfig param_;
};
}
diff --git a/include/RHEJ/currents.hh b/include/RHEJ/currents.hh
index 4c86079..5c3f795 100644
--- a/include/RHEJ/currents.hh
+++ b/include/RHEJ/currents.hh
@@ -1,1325 +1,1350 @@
//////////////////////////////////////////////////
//////////////////////////////////////////////////
// This source code is Copyright (2012) of //
// Jeppe R. Andersen and Jennifer M. Smillie //
// and is distributed under the //
// Gnu Public License version 2 //
// http://www.gnu.org/licenses/gpl-2.0.html //
// You are allowed to distribute and alter the //
// source under the conditions of the GPLv2 //
// as long as this copyright notice //
// is unaltered and distributed with the source //
// Any use should comply with the //
// MCNET GUIDELINES //
// for Event Generator Authors and Users //
// as distributed with this source code //
//////////////////////////////////////////////////
//////////////////////////////////////////////////
/** \file
* \brief Functions computing the square of current contractions.
*
* This file contains all the necessary functions to compute the current
* contractions for all valid HEJ processes. PJETS, H+JETS and W+JETS along with
* some unordered counterparts.
*
* @TODO add a namespace
*/
#pragma once
#include <CLHEP/Vector/LorentzVector.h>
#include <complex>
#include <vector>
#include <valarray>
#include <limits>
typedef std::complex<double> COM;
typedef COM current[4];
typedef CLHEP::HepLorentzVector HLV;
//! The Higgs field vacuum expectation value in GeV
static constexpr double v = 246.;
constexpr double infinity = std::numeric_limits<double>::infinity();
constexpr double mb_default = 4.7;
void Setup_Currents(void);
//! Square of qQ->qenuQ W+Jets Scattering Current
/**
* @param p1out Momentum of final state quark
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state quark
* @param p2out Momentum of final state quark
* @param p2in Momentum of intial state quark
* @returns Square of the current contractions for qQ->qenuQ Scattering
*
* This returns the square of the current contractions in qQ->qenuQ scattering
* with an emission of a W Boson.
*/
double jMWqQ (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe,
CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! Square of qbarQ->qbarenuQ W+Jets Scattering Current
/**
* @param p1out Momentum of final state anti-quark
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state anti-quark
* @param p2out Momentum of final state quark
* @param p2in Momentum of intial state quark
* @returns Square of the current contractions for qbarQ->qbarenuQ Scattering
*
* This returns the square of the current contractions in qbarQ->qbarenuQ scattering
* with an emission of a W Boson.
*/
double jMWqbarQ (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe,
CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! Square of qQbar->qenuQbar W+Jets Scattering Current
/**
* @param p1out Momentum of final state quark
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state quark
* @param p2out Momentum of final state anti-quark
* @param p2in Momentum of intial state anti-quark
* @returns Square of the current contractions for qQbar->qenuQbar Scattering
*
* This returns the square of the current contractions in qQbar->qenuQbar scattering
* with an emission of a W Boson.
*/
double jMWqQbar (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe,
CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! Square of qbarQbar->qbarenuQbar W+Jets Scattering Current
/**
* @param p1out Momentum of final state anti-quark
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state anti-quark
* @param p2out Momentum of final state anti-quark
* @param p2in Momentum of intial state anti-quark
* @returns Square of the current contractions for qbarQbar->qbarenuQbar Scattering
*
* This returns the square of the current contractions in qbarQbar->qbarenuQbar scattering
* with an emission of a W Boson.
*/
double jMWqbarQbar (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe,
CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! Square of qg->qenug W+Jets Scattering Current
/**
* @param p1out Momentum of final state quark
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state quark
* @param p2out Momentum of final state gluon
* @param p2in Momentum of intial state gluon
* @returns Square of the current contractions for qg->qenug Scattering
*
* This returns the square of the current contractions in qg->qenug scattering
* with an emission of a W Boson.
*/
double jMWqg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe,
CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! Square of qbarg->qbarenug W+Jets Scattering Current
/**
* @param p1out Momentum of final state anti-quark
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state anti-quark
* @param p2out Momentum of final state gluon
* @param p2in Momentum of intial state gluon
* @returns Square of the current contractions for qbarg->qbarenug Scattering
*
* This returns the square of the current contractions in qbarg->qbarenug scattering
* with an emission of a W Boson.
*/
double jMWqbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe,
CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
// W+Jets Unordered Functions
//! qQg Wjets Unordered backwards opposite leg to W
/**
* @param p1out Momentum of final state quark a
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state quark a
* @param p2out Momentum of final state quark b
* @param p2in Momentum of intial state quark b
* @param pg Momentum of final state unordered gluon
* @returns Square of the current contractions for qQ->qQg Scattering
*
* This returns the square of the current contractions in qQg->qQg scattering
* with an emission of a W Boson.
*/
double junobMWqQg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector pg);
//! qbarQg Wjets Unordered backwards opposite leg to W
/**
* @param p1out Momentum of final state anti-quark a
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state anti-quark a
* @param p2out Momentum of final state quark b
* @param p2in Momentum of intial state quark b
* @param pg Momentum of final state unordered gluon
* @returns Square of the current contractions for qbarQ->qbarQg Scattering
*
* This returns the square of the current contractions in qbarQg->qbarQg scattering
* with an emission of a W Boson.
*/
double junobMWqbarQg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector pg);
//! qQbarg Wjets Unordered backwards opposite leg to W
/**
* @param p1out Momentum of final state quark a
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state quark a
* @param p2out Momentum of final state anti-quark b
* @param p2in Momentum of intial state anti-quark b
* @param pg Momentum of final state unordered gluon
* @returns Square of the current contractions for qQbar->qQbarg Scattering
*
* This returns the square of the current contractions in qQbarg->qQbarg scattering
* with an emission of a W Boson.
*/
double junobMWqQbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector pg);
//! qbarQbarg Wjets Unordered backwards opposite leg to W
/**
* @param p1out Momentum of final state anti-quark a
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state anti-quark a
* @param p2out Momentum of final state anti-quark b
* @param p2in Momentum of intial state anti-quark b
* @param pg Momentum of final state unordered gluon
* @returns Square of the current contractions for qbarQbar->qbarQbarg Scattering
*
* This returns the square of the current contractions in qbarQbarg->qbarQbarg scattering
* with an emission of a W Boson.
*/
double junobMWqbarQbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector pg);
//!Wjets Unordered forwards opposite leg to W
/**
* @param pg Momentum of final state unordered gluon
* @param p1out Momentum of final state quark a
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state quark a
* @param p2out Momentum of final state quark b
* @param p2in Momentum of intial state quark b
* @returns Square of the current contractions for qQ->gqQ Scattering
*
* This returns the square of the current contractions in qQg->gqQ scattering
* with an emission of a W Boson.
*/
double junofMWgqQ (CLHEP::HepLorentzVector pg,CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p2in);
//!Wjets Unordered forwards opposite leg to W
/**
* @param pg Momentum of final state unordered gluon
* @param p1out Momentum of final state anti-quark a
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state anti-quark a
* @param p2out Momentum of final state quark b
* @param p2in Momentum of intial state quark b
* @returns Square of the current contractions for qbarQ->gqbarQ Scattering
*
* This returns the square of the current contractions in qbarQg->gqbarQ scattering
* with an emission of a W Boson.
*/
double junofMWgqbarQ (CLHEP::HepLorentzVector pg,CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p2in);
//!Wjets Unordered forwards opposite leg to W
/**
* @param pg Momentum of final state unordered gluon
* @param p1out Momentum of final state quark a
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state quark a
* @param p2out Momentum of final state anti-quark b
* @param p2in Momentum of intial state anti-quark b
* @returns Square of the current contractions for qQbar->gqQbar Scattering
*
* This returns the square of the current contractions in qQbarg->gqQbar scattering
* with an emission of a W Boson.
*/
double junofMWgqQbar (CLHEP::HepLorentzVector pg,CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p2in);
//!Wjets Unordered forwards opposite leg to W
/**
* @param pg Momentum of final state unordered gluon
* @param p1out Momentum of final state anti-quark a
* @param pe Momentum of final state electron
* @param pnu Momentum of final state Neutrino
* @param p1in Momentum of initial state anti-quark a
* @param p2out Momentum of final state anti-quark b
* @param p2in Momentum of intial state anti-quark b
* @returns Square of the current contractions for qbarQbar->gqbarQbar Scattering
*
* This returns the square of the current contractions in qbarQbarg->gqbarQbar scattering
* with an emission of a W Boson.
*/
double junofMWgqbarQbar (CLHEP::HepLorentzVector pg,CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p2in);
//!W+uno same leg
/**
* @param pg Momentum of final state unordered gluon
* @param p1out Momentum of final state quark a
* @param plbar Momentum of final state anti-lepton
* @param pl Momentum of final state lepton
* @param p1in Momentum of initial state quark a
* @param p2out Momentum of final state quark b
* @param p2in Momentum of intial state quark b
* @returns Square of the current contractions for qQ->qQg Scattering
*
* This returns the square of the current contractions in gqQ->gqQ scattering
* with an emission of a W Boson.
*/
double jM2WunogqQ(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! @TODO What does this function do? Crossed contribution is Exqqx..?
/**
* @param pg Momentum of final state unordered gluon
* @param p1out Momentum of final state quark a
* @param plbar Momentum of final state anti-lepton
* @param pl Momentum of final state lepton
* @param p1in Momentum of initial state quark a
* @param p2out Momentum of final state quark b
* @param p2in Momentum of intial state quark b
* @returns Square of the current contractions for qQ->gqQ Scattering
*
* This returns the square of the current contractions in gqQ->gqQ scattering
* with an emission of a W Boson.
*/
double jM2WunogqQ_crossqQ(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! W+uno same leg. quark anti-quark
/**
* @param pg Momentum of final state unordered gluon
* @param p1out Momentum of final state quark a
* @param plbar Momentum of final state anti-lepton
* @param pl Momentum of final state lepton
* @param p1in Momentum of initial state quark a
* @param p2out Momentum of final state anti-quark b
* @param p2in Momentum of intial state anti-quark b
* @returns Square of the current contractions for qQbar->gqQbar Scattering
*
* This returns the square of the current contractions in gqQbar->gqQbar scattering
* with an emission of a W Boson. (Unordered Same Leg)
*/
double jM2WunogqQbar(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! W+uno same leg. quark gluon
/**
* @param pg Momentum of final state unordered gluon
* @param p1out Momentum of final state quark a
* @param plbar Momentum of final state anti-lepton
* @param pl Momentum of final state lepton
* @param p1in Momentum of initial state quark a
* @param p2out Momentum of final state gluon b
* @param p2in Momentum of intial state gluon b
* @returns Square of the current contractions for qg->gqg Scattering
*
* This returns the square of the current contractions in qg->gqg scattering
* with an emission of a W Boson.
*/
double jM2Wunogqg(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! W+uno same leg. anti-quark quark
/**
* @param pg Momentum of final state unordered gluon
* @param p1out Momentum of final state anti-quark a
* @param plbar Momentum of final state anti-lepton
* @param pl Momentum of final state lepton
* @param p1in Momentum of initial state anti-quark a
* @param p2out Momentum of final state quark b
* @param p2in Momentum of intial state quark b
* @returns Square of the current contractions for qbarQ->gqbarQ Scattering
*
* This returns the square of the current contractions in qbarQ->gqbarQ scattering
* with an emission of a W Boson.
*/
double jM2WunogqbarQ(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! W+uno same leg. anti-quark anti-quark
/**
* @param pg Momentum of final state unordered gluon
* @param p1out Momentum of final state anti-quark a
* @param plbar Momentum of final state anti-lepton
* @param pl Momentum of final state lepton
* @param p1in Momentum of initial state anti-quark a
* @param p2out Momentum of final state anti-quark b
* @param p2in Momentum of intial state anti-quark b
* @returns Square of the current contractions for qbarQbar->gqbarQbar Scattering
*
* This returns the square of the current contractions in gqbarQbar->qbarQbar scattering
* with an emission of a W Boson.
*/
double jM2WunogqbarQbar(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! W+uno same leg. anti-quark gluon
/**
* @param pg Momentum of final state unordered gluon
* @param p1out Momentum of final state anti-quark a
* @param plbar Momentum of final state anti-lepton
* @param pl Momentum of final state lepton
* @param p1in Momentum of initial state anti-quark a
* @param p2out Momentum of final state gluon b
* @param p2in Momentum of intial state gluon b
* @returns Square of the current contractions for ->gqbarg Scattering
*
* This returns the square of the current contractions in qbarg->gqbarg scattering
* with an emission of a W Boson.
*/
double jM2Wunogqbarg(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//W+Jets qqxExtremal
//! W+Extremal qqx. qxqQ
/**
* @param pgin Momentum of initial state gluon
* @param pqout Momentum of final state quark a
* @param plbar Momentum of final state anti-lepton
* @param pl Momentum of final state lepton
* @param pqbarout Momentum of final state anti-quark a
* @param p2out Momentum of initial state anti-quark b
* @param p2in Momentum of final state gluon b
* @returns Square of the current contractions for ->qbarqQ Scattering
*
* Calculates the square of the current contractions with extremal qqbar pair
* production. This is calculated through the use of crossing symmetry.
*/
double jM2WgQtoqbarqQ(CLHEP::HepLorentzVector pgin, CLHEP::HepLorentzVector pqout,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector pqbarout, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//W+Jets qqxExtremal
//! W+Extremal qqx. qqxQ
/**
* @param pgin Momentum of initial state gluon
* @param pqout Momentum of final state quark a
* @param plbar Momentum of final state anti-lepton
* @param pl Momentum of final state lepton
* @param pqbarout Momentum of final state anti-quark a
* @param p2out Momentum of initial state anti-quark b
* @param p2in Momentum of final state gluon b
* @returns Square of the current contractions for ->qqbarQ Scattering
*
* Calculates the square of the current contractions with extremal qqbar pair
* production. This is calculated through the use of crossing symmetry.
*/
double jM2WgQtoqqbarQ(CLHEP::HepLorentzVector pgin, CLHEP::HepLorentzVector pqout,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector pqbarout, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//W+Jets qqxExtremal
//! W+Extremal qqx. gg->qxqg
/**
* @param pgin Momentum of initial state gluon
* @param pqout Momentum of final state quark a
* @param plbar Momentum of final state anti-lepton
* @param pl Momentum of final state lepton
* @param pqbarout Momentum of final state anti-quark a
* @param p2out Momentum of initial state gluon b
* @param p2in Momentum of final state gluon b
* @returns Square of the current contractions for gg->qbarqg Scattering
*
* Calculates the square of the current contractions with extremal qqbar pair
* production. This is calculated through the use of crossing symmetry.
*/
double jM2Wggtoqbarqg(CLHEP::HepLorentzVector pgin, CLHEP::HepLorentzVector pqout,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector pqbarout, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//W+Jets qqxExtremal
//! W+Extremal qqx. gg->qqxg
/**
* @param pgin Momentum of initial state gluon
* @param pqout Momentum of final state quark a
* @param plbar Momentum of final state anti-lepton
* @param pl Momentum of final state lepton
* @param pqbarout Momentum of final state anti-quark a
* @param p2out Momentum of initial state gluon a
* @param p2in Momentum of final state gluon b
* @returns Square of the current contractions for gg->qqbarg Scattering
*
* Calculates the square of the current contractions with extremal qqbar pair
* production. This is calculated through the use of crossing symmetry.
*/
double jM2Wggtoqqbarg(CLHEP::HepLorentzVector pgin, CLHEP::HepLorentzVector pqbarout,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector pqout, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
+//W+Jets qqxExtremal, W emission from opposite leg
+//! W+Extremal qqx. gg->qqxg. qqx on forwards leg, W emission backwards leg.
+/**
+ * @param pa Momentum of initial state (anti-)quark
+ * @param pb Momentum of initial state gluon
+ * @param p1 Momentum of final state (anti-)quark (after W emission)
+ * @param p2 Momentum of final state anti-quark
+ * @param p3 Momentum of final state quark
+ * @param plbar Momentum of final state anti-lepton
+ * @param pl Momentum of final state lepton
+ * @returns Square of the current contractions for gq->qqbarqW Scattering
+ *
+ * Calculates the square of the current contractions with extremal qqbar pair
+ * production. This is calculated via current contraction of existing currents.
+ * Assumes qqx split from forwards leg, W emission from backwards leg.
+ * Switch input (pa<->pb, p1<->pn) if calculating forwards qqx.
+ */
+double jM2WgqtoQQqW(CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector pb, CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector p2, CLHEP::HepLorentzVector p3,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl);
+
//! W+Jets qqxCentral. qqx W emission.
/**
* @param pa Momentum of initial state particle a
* @param pb Momentum of initial state particle b
* @param pl Momentum of final state lepton
* @param plbar Momentum of final state anti-lepton
* @param partons Vector of outgoing parton momenta
* @param aqlinepa Bool: True= pa is anti-quark
* @param aqlinepb Bool: True= pb is anti-quark
* @param qqxmarker Bool: Ordering of the qqbar pair produced (qqx vs qxq)
* @param nabove Number of lipatov vertices "above" qqbar pair
* @param nbelow Number of lipatov vertices "below" qqbar pair
* @returns Square of the current contractions for qq>qQQbarWq Scattering
*
* Calculates the square of the current contractions with extremal qqbar pair
* production. This is calculated through the use of crossing symmetry.
*/
-double jM2WqqtoqQQq(HLV pa, HLV pb,HLV pl,HLV plbar, std::vector<HLV> partons, bool aqlinepa, bool aqlinepb, bool qqxmarker, int nabove, int nbelow); //Doing
+double jM2WqqtoqQQq(HLV pa, HLV pb,HLV pl,HLV plbar, std::vector<HLV> partons, bool aqlinepa, bool aqlinepb, bool qqxmarker, int nabove);
//emission from backwards leg
//! W+Jets qqxCentral. W emission from backwards leg.
/**
* @param ka HLV: Momentum of initial state particle a
* @param kb HLV: Momentum of initial state particle b
* @param pl HLV: Momentum of final state lepton
* @param plbar HLV: Momentum of final state anti-lepton
* @param partons Vector(HLV): outgoing parton momenta
* @param aqlinepa Bool: True= pa is anti-quark
* @param aqlinepb Bool: True= pb is anti-quark
* @param qqxmarker Bool: Ordering of the qqbar pair produced (qqx vs qxq)
* @param nabove Int: Number of lipatov vertices "above" qqbar pair
* @param nbelow Int: Number of lipatov vertices "below" qqbar pair
* @param forwards Bool: Swap to emission off front leg TODO:remove so args can be const
* @returns Square of the current contractions for qq>qQQbarWq Scattering
*
* Calculates the square of the current contractions with extremal qqbar pair
* production. This is calculated through the use of crossing symmetry.
*/
double jM2WqqtoqQQqW(HLV ka, HLV kb,HLV pl,HLV plbar, std::vector<HLV> partons, bool aqlinepa, bool aqlinepb, bool qqxmarker, int nabove, int nbelow, bool forwards); //Doing
//! Square of qQ->qQ Pure Jets Scattering Current
/**
* @param p1out Momentum of final state quark
* @param p1in Momentum of initial state quark
* @param p2out Momentum of final state quark
* @param p2in Momentum of intial state quark
* @returns Square of the current contractions for qQ->qQ Scattering
*
* This returns the square of the current contractions in qQ->qQ Pure Jet Scattering.
*/
double jM2qQ (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! Square of qQbar->qQbar Pure Jets Scattering Current
/**
* @param p1out Momentum of final state quark
* @param p1in Momentum of initial state quark
* @param p2out Momentum of final state anti-quark
* @param p2in Momentum of intial state anti-quark
* @returns Square of the current contractions for qQbar->qQbar Scattering
*
* This returns the square of the current contractions in qQbar->qQbar Pure Jet Scattering.
* Note this can be used for qbarQ->qbarQ Scattering by inputting arguments appropriately.
*/
double jM2qQbar (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! Square of qbarQbar->qbarQbar Pure Jets Scattering Current
/**
* @param p1out Momentum of final state anti-quark
* @param p1in Momentum of initial state anti-quark
* @param p2out Momentum of final state anti-quark
* @param p2in Momentum of intial state anti-quark
* @returns Square of the current contractions for qbarQbar->qbarQbar Scattering
*
* This returns the square of the current contractions in qbarQbar->qbarQbar Pure Jet Scattering.
*/
double jM2qbarQbar (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! Square of qg->qg Pure Jets Scattering Current
/**
* @param p1out Momentum of final state quark
* @param p1in Momentum of initial state quark
* @param p2out Momentum of final state gluon
* @param p2in Momentum of intial state gluon
* @returns Square of the current contractions for qg->qg Scattering
*
* This returns the square of the current contractions in qg->qg Pure Jet Scattering.
* Note this can be used for gq->gq Scattering by inputting arguments appropriately.
*/
double jM2qg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! Square of qbarg->qbarg Pure Jets Scattering Current
/**
* @param p1out Momentum of final state anti-quark
* @param p1in Momentum of initial state anti-quark
* @param p2out Momentum of final state gluon
* @param p2in Momentum of intial state gluon
* @returns Square of the current contractions for qbarg->qbarg Scattering
*
* This returns the square of the current contractions in qbarg->qbarg Pure Jet Scattering.
* Note this can be used for gqbar->gqbar Scattering by inputting arguments appropriately.
*/
double jM2qbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! Square of gg->gg Pure Jets Scattering Current
/**
* @param p1out Momentum of final state gluon
* @param p1in Momentum of initial state gluon
* @param p2out Momentum of final state gluon
* @param p2in Momentum of intial state gluon
* @returns Square of the current contractions for gg->gg Scattering
*
* This returns the square of the current contractions in gg->gg Pure Jet Scattering.
*/
double jM2gg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in);
//! Square of gg->gg Higgs+Jets Scattering Current
/**
* @param p1out Momentum of final state gluon
* @param p1in Momentum of initial state gluon
* @param p2out Momentum of final state gluon
* @param p2in Momentum of intial state gluon
* @param q1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for gg->gg Scattering
*
* This returns the square of the current contractions in gg->gg Higgs+Jet Scattering.
*
* g~p1 g~p2
* should be called with q1 meant to be contracted with p2 in first part of vertex
* (i.e. if g is backward, q1 is forward)
*/
double MH2gg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in,
CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of gq->gq Higgs+Jets Scattering Current with Higgs before Gluon
/**
* @param p1out Momentum of final state gluon
* @param p1in Momentum of initial state gluon
* @param p2out Momentum of final state gluon
* @param p2in Momentum of intial state gluon
* @param pH Momentum of Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contraction
*
*/
double MH2gq_outsideH(CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in,
CLHEP::HepLorentzVector pH,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qg->qg Higgs+Jets Scattering Current
/**
* @param p1out Momentum of final state quark
* @param p1in Momentum of initial state quark
* @param p2out Momentum of final state gluon
* @param p2in Momentum of intial state gluon
* @param q1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qg->qg Scattering
*
* This returns the square of the current contractions in qg->qg Higgs+Jet Scattering.
*
* q~p1 g~p2 (i.e. ALWAYS p1 for quark, p2 for gluon)
* should be called with q1 meant to be contracted with p2 in first part of vertex
* (i.e. if g is backward, q1 is forward)
*/
double MH2qg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in,
CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qbarg->qbarg Higgs+Jets Scattering Current
/**
* @param p1out Momentum of final state anti-quark
* @param p1in Momentum of initial state anti-quark
* @param p2out Momentum of final state gluon
* @param p2in Momentum of intial state gluon
* @param q1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qbarg->qbarg Scattering
*
* This returns the square of the current contractions in qbarg->qbarg Higgs+Jet Scattering.
*
* qbar~p1 g~p2 (i.e. ALWAYS p1 for anti-quark, p2 for gluon)
* should be called with q1 meant to be contracted with p2 in first part of vertex
* (i.e. if g is backward, q1 is forward)
*/
double MH2qbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in,
CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qQ->qQ Higgs+Jets Scattering Current
/**
* @param p1out Momentum of final state quark
* @param p1in Momentum of initial state quark
* @param p2out Momentum of final state quark
* @param p2in Momentum of intial state quark
* @param q1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qQ->qQ Scattering
*
* This returns the square of the current contractions in qQ->qQ Higgs+Jet Scattering.
*
* q~p1 Q~p2 (i.e. ALWAYS p1 for quark, p2 for quark)
* should be called with q1 meant to be contracted with p2 in first part of vertex
* (i.e. if Q is backward, q1 is forward)
*/
double MH2qQ (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in,
CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qQbar->qQbar Higgs+Jets Scattering Current
/**
* @param p1out Momentum of final state quark
* @param p1in Momentum of initial state quark
* @param p2out Momentum of final state anti-quark
* @param p2in Momentum of intial state anti-quark
* @param q1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qQ->qQ Scattering
*
* This returns the square of the current contractions in qQbar->qQbar Higgs+Jet Scattering.
*
* q~p1 Qbar~p2 (i.e. ALWAYS p1 for quark, p2 for anti-quark)
* should be called with q1 meant to be contracted with p2 in first part of vertex
* (i.e. if Qbar is backward, q1 is forward)
*/
double MH2qQbar (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in,
CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qbarQ->qbarQ Higgs+Jets Scattering Current
/**
* @param p1out Momentum of final state anti-quark
* @param p1in Momentum of initial state anti-quark
* @param p2out Momentum of final state quark
* @param p2in Momentum of intial state quark
* @param q1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qbarQ->qbarQ Scattering
*
* This returns the square of the current contractions in qbarQ->qbarQ Higgs+Jet Scattering.
*
* qbar~p1 Q~p2 (i.e. ALWAYS p1 for anti-quark, p2 for quark)
* should be called with q1 meant to be contracted with p2 in first part of vertex
* (i.e. if Q is backward, q1 is forward)
*/
double MH2qbarQ (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in,
CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qbarQbar->qbarQbar Higgs+Jets Scattering Current
/**
* @param p1out Momentum of final state anti-quark
* @param p1in Momentum of initial state anti-quark
* @param p2out Momentum of final state anti-quark
* @param p2in Momentum of intial state anti-quark
* @param q1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qbarQbar->qbarQbar Scattering
*
* This returns the square of the current contractions in qbarQbar->qbarQbar Higgs+Jet Scattering.
*
* qbar~p1 Qbar~p2 (i.e. ALWAYS p1 for anti-quark, p2 for anti-quark)
* should be called with q1 meant to be contracted with p2 in first part of vertex
* (i.e. if Qbar is backward, q1 is forward)
*/
double MH2qbarQbar (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in,
CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
// Unordered f
//! Square of qQ->gqQ Higgs+Jets Unordered f Scattering Current
/**
* @param pg Momentum of unordered gluon
* @param p1out Momentum of final state quark
* @param p1in Momentum of initial state quark
* @param p2out Momentum of final state quark
* @param p2in Momentum of intial state quark
* @param qH1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qQ->gqQ Scattering
*
* This returns the square of the current contractions in qQ->gqQ Higgs+Jet Scattering.
*
* This construction is taking rapidity order: pg > p1out >> p2out
*/
double jM2unogqHQ (CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,
CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out,
CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1,
CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qQbar->gqQbar Higgs+Jets Unordered f Scattering Current
/**
* @param pg Momentum of unordered gluon
* @param p1out Momentum of final state quark
* @param p1in Momentum of initial state quark
* @param p2out Momentum of final state anti-quark
* @param p2in Momentum of intial state anti-quark
* @param qH1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qQbar->gqQbar Scattering
*
* This returns the square of the current contractions in qQbar->gqQbar Higgs+Jet Scattering.
*
* This construction is taking rapidity order: pg > p1out >> p2out
*/
double jM2unogqHQbar (CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,
CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out,
CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1,
CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qbarQ->gqbarQ Higgs+Jets Unordered f Scattering Current
/**
* @param pg Momentum of unordered gluon
* @param p1out Momentum of final state anti-quark
* @param p1in Momentum of initial state anti-quark
* @param p2out Momentum of final state quark
* @param p2in Momentum of intial state quark
* @param qH1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qbarQ->gqbarQ Scattering
*
* This returns the square of the current contractions in qbarQ->gqbarQ Higgs+Jet Scattering.
*
* This construction is taking rapidity order: pg > p1out >> p2out
*/
double jM2unogqbarHQ (CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,
CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out,
CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1,
CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qbarQbar->gqbarQbar Higgs+Jets Unordered f Scattering Current
/**
* @param pg Momentum of unordered gluon
* @param p1out Momentum of final state anti-quark
* @param p1in Momentum of initial state anti-quark
* @param p2out Momentum of final state anti-quark
* @param p2in Momentum of intial state anti-quark
* @param qH1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qbarQbar->gqbarQbar Scattering
*
* This returns the square of the current contractions in qbarQbar->gqbarQbar Higgs+Jet Scattering.
*
* This construction is taking rapidity order: pg > p1out >> p2out
*/
double jM2unogqbarHQbar (CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,
CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out,
CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1,
CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qg->gqg Higgs+Jets Unordered f Scattering Current
/**
* @param pg Momentum of unordered gluon
* @param p1out Momentum of final state quark
* @param p1in Momentum of initial state quark
* @param p2out Momentum of final state gluon
* @param p2in Momentum of intial state gluon
* @param qH1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qg->gqg Scattering
*
* This returns the square of the current contractions in qg->gqg Higgs+Jet Scattering.
*
* This construction is taking rapidity order: pg > p1out >> p2out
*/
double jM2unogqHg (CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,
CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out,
CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1,
CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qbarg->gqbarg Higgs+Jets Unordered f Scattering Current
/**
* @param pg Momentum of unordered gluon
* @param p1out Momentum of final state anti-quark
* @param p1in Momentum of initial state anti-quark
* @param p2out Momentum of final state gluon
* @param p2in Momentum of intial state gluon
* @param qH1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qbarg->gbarg Scattering
*
* This returns the square of the current contractions in qbarg->gqbarg Higgs+Jet Scattering.
*
* This construction is taking rapidity order: pg > p1out >> p2out
*/
double jM2unogqbarHg (CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,
CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out,
CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1,
CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//Unordered b
//! Square of qbarQ->qbarQg Higgs+Jets Unordered b Scattering Current
/**
* @param p1out Momentum of final state anti-quark
* @param p1in Momentum of initial state anti-quark
* @param pg Momentum of unordered b gluon
* @param p2out Momentum of final state quark
* @param p2in Momentum of intial state quark
* @param qH1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qbarQ->qbarQg Scattering
*
* This returns the square of the current contractions in qbarQ->qbarQg Higgs+Jet Scattering.
*
* This construction is taking rapidity order: p1out >> p2out > pg
*/
double jM2unobqbarHQg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p2out,
CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1,
CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qQ->qQg Higgs+Jets Unordered b Scattering Current
/**
* @param p1out Momentum of final state quark
* @param p1in Momentum of initial state quark
* @param pg Momentum of unordered b gluon
* @param p2out Momentum of final state quark
* @param p2in Momentum of intial state quark
* @param qH1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qQ->qQg Scattering
*
* This returns the square of the current contractions in qQ->qQg Higgs+Jet Scattering.
*
* This construction is taking rapidity order: p1out >> p2out > pg
*/
double jM2unobqHQg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p2out,
CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1,
CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qQbar->qQbarg Higgs+Jets Unordered b Scattering Current
/**
* @param p1out Momentum of final state quark
* @param p1in Momentum of initial state quark
* @param pg Momentum of unordered b gluon
* @param p2out Momentum of final state anti-quark
* @param p2in Momentum of intial state anti-quark
* @param qH1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qQbar->qQbarg Scattering
*
* This returns the square of the current contractions in qQbar->qQbarg Higgs+Jet Scattering.
*
* This construction is taking rapidity order: p1out >> p2out > pg
*/
double jM2unobqHQbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p2out,
CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1,
CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of qbarQbar->qbarQbarg Higgs+Jets Unordered b Scattering Current
/**
* @param p1out Momentum of final state anti-quark
* @param p1in Momentum of initial state anti-quark
* @param pg Momentum of unordered b gluon
* @param p2out Momentum of final state anti-quark
* @param p2in Momentum of intial state anti-quark
* @param qH1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for qbarQbar->qbarQbarg Scattering
*
* This returns the square of the current contractions in qbarQbar->qbarQbarg Higgs+Jet Scattering.
*
* This construction is taking rapidity order: p1out >> p2out > pg
*/
double jM2unobqbarHQbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p2out,
CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1,
CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of gQbar->gQbarg Higgs+Jets Unordered b Scattering Current
/**
* @param p1out Momentum of final state gluon
* @param p1in Momentum of initial state gluon
* @param pg Momentum of unordered b gluon
* @param p2out Momentum of final state anti-quark
* @param p2in Momentum of intial state anti-quark
* @param qH1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for gQbar->gQbarg Scattering
*
* This returns the square of the current contractions in gQbar->gQbarg Higgs+Jet Scattering.
*
* This construction is taking rapidity order: p1out >> p2out > pg
*/
double jM2unobgHQbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p2out,
CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1,
CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
//! Square of gQ->gQg Higgs+Jets Unordered b Scattering Current
/**
* @param p1out Momentum of final state gluon
* @param p1in Momentum of initial state gluon
* @param pg Momentum of unordered b gluon
* @param p2out Momentum of final state quark
* @param p2in Momentum of intial state quark
* @param qH1 Momentum of t-channel propagator before Higgs
* @param qH2 Momentum of t-channel propagator after Higgs
* @param mt Top quark mass
* @param include_bottom Specifies whether bottom corrections are included
* @param mb Bottom quark mass
* @returns Square of the current contractions for gQ->gQg Scattering
*
* This returns the square of the current contractions in gQ->gQg Higgs+Jet Scattering.
*
* This construction is taking rapidity order: p1out >> p2out > pg
*/
double jM2unobgHQg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p2out,
CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1,
CLHEP::HepLorentzVector qH2,
double mt = infinity,
bool include_bottom = false, double mb = mb_default);
// impact factors for Higgs + jet
//! Implements Eq. (4.22) in hep-ph/0301013 with modifications to incoming plus momenta
/**
* @param p2 Momentum of Particle 2
* @param p1 Momentum of Particle 1
* @param pH Momentum of Higgs
* @returns Value of Eq. (4.22) in Hep-ph/0301013 with modifications
*
* This gives the impact factor. First it determines first whether this is the case
* p1p\sim php>>p3p or the opposite
*/
double C2gHgm(CLHEP::HepLorentzVector p2, CLHEP::HepLorentzVector p1,
CLHEP::HepLorentzVector pH);
//! Implements Eq. (4.23) in hep-ph/0301013 with modifications to incoming plus momenta
/**
* @param p2 Momentum of Particle 2
* @param p1 Momentum of Particle 1
* @param pH Momentum of Higgs
* @returns Value of Eq. (4.23) in Hep-ph/0301013
*
* This gives the impact factor. First it determines first whether this is the case
* p1p\sim php>>p3p or the opposite
*/
double C2gHgp(CLHEP::HepLorentzVector p2, CLHEP::HepLorentzVector p1,
CLHEP::HepLorentzVector pH);
//! Implements Eq. (4.22) in hep-ph/0301013
/**
* @param p2 Momentum of Particle 2
* @param p1 Momentum of Particle 1
* @param pH Momentum of Higgs
* @returns Value of Eq. (4.22) in Hep-ph/0301013
*
* This gives the impact factor. First it determines first whether this is the case
* p1p\sim php>>p3p or the opposite
*/
double C2qHqm(CLHEP::HepLorentzVector p2, CLHEP::HepLorentzVector p1,
CLHEP::HepLorentzVector pH);
/** \class CCurrent currents.hh "include/RHEJ/currents.hh"
* \brief This is the a new class structure for currents.
*/
class CCurrent
{
public:
CCurrent(COM sc0, COM sc1, COM sc2, COM sc3)
:c0(sc0),c1(sc1),c2(sc2),c3(sc3)
{};
CCurrent(const CLHEP::HepLorentzVector p)
{
c0=p.e();
c1=p.px();
c2=p.py();
c3=p.pz();
};
CCurrent()
{};
CCurrent operator+(const CCurrent& other);
CCurrent operator-(const CCurrent& other);
CCurrent operator*(const double x);
CCurrent operator*(const COM x);
CCurrent operator/(const double x);
CCurrent operator/(const COM x);
friend std::ostream& operator<<(std::ostream& os, const CCurrent& cur);
COM dot(CLHEP::HepLorentzVector p1);
COM dot(CCurrent p1);
COM c0,c1,c2,c3;
private:
};
/* std::ostream& operator <<(std::ostream& os, const CCurrent& cur); */
CCurrent operator * ( double x, CCurrent& m);
CCurrent operator * ( COM x, CCurrent& m);
CCurrent operator / ( double x, CCurrent& m);
CCurrent operator / ( COM x, CCurrent& m);
//! Current ???
/**
* These functions are a mess. There are many more defined in the source file than declared in the
* header - and the arguments are mislabelled in some cases. Need to investigate.
*/
void j (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pin, bool helin,current &cur);
//! Current ???
/**
* These functions are a mess. There are many more defined in the source file than declared in the
* header - and the arguments are mislabelled in some cases. Need to investigate.
*/
void jio(HLV pin, bool helin, HLV pout, bool helout, current &cur);
//! Current ???
/**
* These functions are a mess. There are many more defined in the source file than declared in the
* header - and the arguments are mislabelled in some cases. Need to investigate.
*/
void joo(HLV pi, bool heli, HLV pj, bool helj, current &cur);
+//! Current ???
+/**
+ * These functions are a mess. There are many more defined in the source file than declared in the
+ * header - and the arguments are mislabelled in some cases. Need to investigate.
+ */
+void joi(HLV pout, bool helout, HLV pin, bool helin, current &cur);
//! Current ???
/**
* These functions are a mess. There are many more defined in the source file than declared in the
* header - and the arguments are mislabelled in some cases. Need to investigate.
*/
CCurrent j (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pin, bool helin);
//! Current <incoming state | mu | outgoing state>
/**
* These functions are a mess. There are many more defined in the source file than declared in the
* header - and the arguments are mislabelled in some cases. Need to investigate.
*/
CCurrent jio (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pin, bool helin);
//! Current <outgoing state | mu | outgoing state>
/**
* These functions are a mess. There are many more defined in the source file than declared in the
* header - and the arguments are mislabelled in some cases. Need to investigate.
*/
CCurrent joo (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pin, bool helin);
/* // Coupling values */
/* const double stw2 = 0.2222; */
/* const double ctw = sqrt(1.0 - stw2); */
/* const double gs = 1.217716; */
/* const double gw = 0.653232911; */
/* const double Zem = (-1.0 / 2.0 + stw2) / ctw; */
/* const double Zep = stw2 / ctw; */
/* const double Zum = ( 1.0 / 2.0 - 2.0 * stw2 / 3.0) / ctw; */
/* const double Zup = - 2.0 * stw2 / 3.0 / ctw; */
/* const double Zdm = (-1.0 / 2.0 + 1.0 / 3.0 * stw2) / ctw; */
/* const double Zdp = stw2 / 3.0 / ctw; */
/* const double RWeak = -pow(gw, 2.0); */
/* const double Strong = pow(gs, 4.0); */
/* const double ee = pow(gw, 2.0) * stw2; */
/* std::vector <double> jMZqQ (HLV, HLV, HLV, HLV, HLV, HLV, std::vector <double>, std::vector < std::vector <double> >, int, int, bool, bool); */
/* std::vector <double> jMZqg (HLV, HLV, HLV, HLV, HLV, HLV, std::vector <double>, std::vector < std::vector <double> >, int, int, bool, bool); */
/* void jZ (HLV, HLV, HLV, HLV, bool, bool, current); */
/* void jZbar (HLV, HLV, HLV, HLV, bool, bool, current); */
/* COM PZ(double); */
/* double Zq (int, bool); */
/* double Gq (int); */
inline COM cdot(const current & j1, const current & j2)
{
return j1[0]*j2[0]-j1[1]*j2[1]-j1[2]*j2[2]-j1[3]*j2[3];
}
inline COM cdot(const HLV & p, const current & j1) {
return j1[0]*p.e()-j1[1]*p.x()-j1[2]*p.y()-j1[3]*p.z();
}
inline void cmult(const COM & factor, const current & j1, current &cur)
{
cur[0]=factor*j1[0];
cur[1]=factor*j1[1];
cur[2]=factor*j1[2];
cur[3]=factor*j1[3];
}
// WHY!?!
inline void cadd(const current & j1, const current & j2, const current & j3,
const current & j4, const current & j5, current &sum)
{
sum[0]=j1[0]+j2[0]+j3[0]+j4[0]+j5[0];
sum[1]=j1[1]+j2[1]+j3[1]+j4[1]+j5[1];
sum[2]=j1[2]+j2[2]+j3[2]+j4[2]+j5[2];
sum[3]=j1[3]+j2[3]+j3[3]+j4[3]+j5[3];
}
inline void cadd(const current & j1, const current & j2, const current & j3,
const current & j4, current &sum) {
sum[0] = j1[0] + j2[0] + j3[0] + j4[0];
sum[1] = j1[1] + j2[1] + j3[1] + j4[1];
sum[2] = j1[2] + j2[2] + j3[2] + j4[2];
sum[3] = j1[3] + j2[3] + j3[3] + j4[3];
}
inline void cadd(const current & j1, const current & j2, const current & j3,
current &sum)
{
sum[0]=j1[0]+j2[0]+j3[0];
sum[1]=j1[1]+j2[1]+j3[1];
sum[2]=j1[2]+j2[2]+j3[2];
sum[3]=j1[3]+j2[3]+j3[3];
}
inline void cadd(const current & j1, const current & j2, current &sum)
{
sum[0]=j1[0]+j2[0];
sum[1]=j1[1]+j2[1];
sum[2]=j1[2]+j2[2];
sum[3]=j1[3]+j2[3];
}
inline double abs2(const COM & a)
{
return (a*conj(a)).real();
}
inline double vabs2(const CCurrent & cur)
{
return abs2(cur.c0)-abs2(cur.c1)-abs2(cur.c2)-abs2(cur.c3);
}
inline double vre(const CCurrent & a, const CCurrent & b)
{
return real(a.c0*conj(b.c0)-a.c1*conj(b.c1)-a.c2*conj(b.c2)-a.c3*conj(b.c3));
}
diff --git a/include/RHEJ/qqx.hh b/include/RHEJ/qqx.hh
index a353ee2..682e843 100644
--- a/include/RHEJ/qqx.hh
+++ b/include/RHEJ/qqx.hh
@@ -1,125 +1,125 @@
/** \file qqx.hh
* \brief Functions for determining if event is a qqx event.
*/
#pragma once
#include "RHEJ/utility.hh"
#include "RHEJ/PDG_codes.hh"
namespace RHEJ{
//! Check if an event has a backwards extremal qqx
/**
* @param incoming Incoming particles in ascending pz
* @param outgoing Outgoing particles in ascending rapidity
* @returns true iff the the most backwards incoming particle is a * gluon and the corresponding outgoing particle is a quark.
*
* If the incoming and outgoing particles are ordered such that HEJ resummation
* is possible, this function can help to distinguish between FKL and backwards qqx
* events. Allows emission of A/W/Z boson unordered past qqx pair.
*/
inline
bool has_Ex_qqxb(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing
){
if (incoming.front().type!=pid::gluon) return false;
if (is_AWZ_boson(outgoing.front().type)){
return (is_quark(outgoing[1]) && is_antiquark(outgoing[2]))
|| (is_quark(outgoing[2]) && is_antiquark(outgoing[1]));
}
- if (abs(outgoing[1].type) == pid::Wp){
+ if (is_AWZ_boson(outgoing[1].type)){
return (is_quark(outgoing.front()) && is_antiquark(outgoing[2]))
|| (is_quark(outgoing[2]) && is_antiquark(outgoing.front()));
}
return (is_quark(outgoing.front()) && is_antiquark(outgoing[1]))
|| (is_quark(outgoing[1]) && is_antiquark(outgoing.front()));
}
//! Check if an event has an extremal forward qqx
/**
* @param incoming Incoming particles in ascending pz
* @param outgoing Outgoing particles in ascending rapidity
* @returns true iff the the most forwards incoming particle is a * gluon and the corresponding outgoing particle is a quark.
*
* If the incoming and outgoing particles are ordered such that HEJ resummation
* is possible, this function can help to distinguish between FKL and forwards qqx
* events. Allows emission of A/W/Z boson unordered beyond qqx pair.
*/
inline
bool has_Ex_qqxf(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing
){
if (incoming.back().type!=pid::gluon) return false;
if (is_AWZ_boson(outgoing.back().type)){
return (is_quark(outgoing.rbegin()[1]) && is_antiquark(outgoing.rbegin()[2]))
|| (is_quark(outgoing.rbegin()[2]) && is_antiquark(outgoing.rbegin()[1]));
}
- if (abs(outgoing.rbegin()[1].type) == pid::Wp){
+ if (is_AWZ_boson(outgoing.rbegin()[1].type)){
return (is_quark(outgoing.back()) && is_antiquark(outgoing.rbegin()[2]))
|| (is_quark(outgoing.rbegin()[2]) && is_antiquark(outgoing.back()));
}
return (is_quark(outgoing.back()) && is_antiquark(outgoing.rbegin()[1]))
|| (is_quark(outgoing.rbegin()[1]) && is_antiquark(outgoing.back()));
}
//! Check if an event has an Extremal qqx
/**
* @see has_Ex_qqxb, has_Ex_qqxf
*/
inline
bool has_Ex_qqx(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing
){
return
has_Ex_qqxb(incoming, outgoing) || has_Ex_qqxf(incoming, outgoing);
}
// Note that this changes the outgoing range!
template<class Iterator>
bool has_mid_qqx(
Iterator begin_outgoing, Iterator end_outgoing
){
assert(std::distance(begin_outgoing, end_outgoing) >= 2);
// One photon, W, H, Z in the final state is allowed.
// Remove it for remaining tests,
end_outgoing = std::remove_if(
begin_outgoing, end_outgoing, [](Particle const & p){return is_AWZH_boson(p);}
);
if(std::distance(begin_outgoing, end_outgoing) < 4){
return false;
}
const auto quark = std::find_if( //Find a quark
begin_outgoing+1, end_outgoing-1,
[](Particle const & s){ return (is_quark(s));}
);
if (quark == begin_outgoing+1) return (is_antiquark((begin_outgoing+2)->type));
else if(quark == end_outgoing-1) return (is_antiquark((end_outgoing-2)->type));
else return (is_antiquark((quark-1)->type)) || (is_antiquark((quark+1)->type));
}
//! Check if an event has a central qqx pair
/**
* @param outgoing Outgoing particles in ascending rapidity
* @returns true iff the the most forwards incoming particle is a * gluon and the corresponding outgoing particle is a quark.
*
* If the incoming and outgoing particles are ordered such that HEJ resummation
* is possible, this function can help to distinguish between FKL and central qqx
* events. Allows emission of one A/W/Z/H boson anywhere in the final state.
*/
inline
bool has_mid_qqx(
std::vector<Particle> outgoing
){
return has_mid_qqx(
begin(outgoing), end(outgoing)
);
}
}
diff --git a/src/Event.cc b/src/Event.cc
index 977c303..ece9702 100644
--- a/src/Event.cc
+++ b/src/Event.cc
@@ -1,602 +1,601 @@
#include "RHEJ/Event.hh"
#include "RHEJ/utility.hh"
#include "RHEJ/qqx.hh"
namespace RHEJ{
namespace{
constexpr int status_in = -1;
constexpr int status_decayed = 2;
constexpr int status_out = 1;
// helper functions to determine event type
// check if there is at most one photon, W, H, Z in the final state
// and all the rest are quarks or gluons
bool final_state_ok(std::vector<Particle> const & outgoing){
bool has_AWZH_boson = false;
for(auto const & out: outgoing){
if(is_AWZH_boson(out.type)){
if(has_AWZH_boson) return false;
has_AWZH_boson = true;
}
else if(! is_parton(out.type)) return false;
}
return true;
}
template<class Iterator>
Iterator remove_AWZH(Iterator begin, Iterator end){
return std::remove_if(
begin, end, [](Particle const & p){return is_AWZH_boson(p);}
);
}
template<class Iterator>
bool valid_outgoing(Iterator begin, Iterator end){
return std::distance(begin, end) >= 2
&& std::is_sorted(begin, end, rapidity_less{})
&& std::count_if(
begin, end, [](Particle const & s){return is_AWZH_boson(s);}
) < 2;
}
/**
* \brief function which determines if type change is consistent with W emission.
* @param in incoming Particle
* @param out outgoing Particle
*
* Ensures that change type of quark line is possible by a flavour changing
* W emission.
*/
bool is_W_Current(ParticleID in, ParticleID out){
if((in==1 && out==2)||(in==2 && out==1)){
return true;
}
else if((in==-1 && out==-2)||(in==-2 && out==-1)){
return true;
}
else if((in==3 && out==4)||(in==4 && out==3)){
return true;
}
else if((in==-3 && out==-4)||(in==-4 && out==-3)){
return true;
}
else{
return false;
}
}
/**
* \brief checks if particle type remains same from incoming to outgoing
* @param in incoming Particle
* @param out outgoing Particle
*/
bool is_Pure_Current(ParticleID in, ParticleID out){
if(abs(in)<=6 || in==21) return (in==out);
else return false;
}
// Note that this changes the outgoing range!
template<class ConstIterator, class Iterator>
bool is_FKL(
ConstIterator begin_incoming, ConstIterator end_incoming,
Iterator begin_outgoing, Iterator end_outgoing
){
assert(std::distance(begin_incoming, end_incoming) == 2);
assert(std::distance(begin_outgoing, end_outgoing) >= 2);
// One photon, W, H, Z in the final state is allowed.
// Remove it for remaining tests,
end_outgoing = remove_AWZH(begin_outgoing, end_outgoing);
if(std::all_of(
begin_outgoing + 1, end_outgoing - 1,
[](Particle const & p){ return p.type == pid::gluon; })
){
// Test if this is a standard FKL configuration.
if (is_Pure_Current(begin_incoming->type, begin_outgoing->type)
&& is_Pure_Current((end_incoming-1)->type, (end_outgoing-1)->type)){
return true;
}
else if(is_W_Current(begin_incoming->type, begin_outgoing->type)
&& is_Pure_Current((end_incoming-1)->type, (end_outgoing-1)->type)){
return true;
}
else if(is_Pure_Current(begin_incoming->type, begin_outgoing->type)
&& is_W_Current((end_incoming-1)->type, (end_outgoing-1)->type)){
return true;
}
}
return false;
}
bool is_FKL(
std::array<Particle, 2> const & incoming,
std::vector<Particle> outgoing
){
assert(std::is_sorted(begin(incoming), end(incoming), pz_less{}));
assert(valid_outgoing(begin(outgoing), end(outgoing)));
return is_FKL(
begin(incoming), end(incoming),
begin(outgoing), end(outgoing)
);
}
bool has_2_jets(Event const & event){
return event.jets().size() >= 2;
}
/**
* \brief Checks whether event is unordered backwards
* @param ev Event
* @returns Is Event Unordered Backwards
*
* Checks there is more than 3 constuents in the final state
* Checks there is more than 3 jets
* Checks the most backwards parton is a gluon
* Checks the most forwards jet is not a gluon
* Checks the rest of the event is FKL
* Checks the second most backwards is not a different boson
* Checks the unordered gluon actually forms a jet
*/
bool is_unordered_backward(Event const & ev){
auto const & in = ev.incoming();
auto const & out = ev.outgoing();
assert(std::is_sorted(begin(in), end(in), pz_less{}));
assert(valid_outgoing(begin(out), end(out)));
if(out.size() < 3) return false;
if(ev.jets().size() < 3) return false;
if(in.front().type == pid::gluon) return false;
if(out.front().type != pid::gluon) return false;
// When skipping the unordered emission
// the remainder should be a regular FKL event,
// except that the (new) first outgoing particle must not be a A,W,Z,H.
const auto FKL_begin = next(begin(out));
if(is_AWZH_boson(*FKL_begin)) return false;
if(!is_FKL(in, {FKL_begin, end(out)})) return false;
// check that the unordered gluon forms an extra jet
const auto jets = sorted_by_rapidity(ev.jets());
const auto indices = ev.particle_jet_indices({jets.front()});
return indices[0] >= 0 && indices[1] == -1;
}
/**
* \brief Checks for a forward unordered gluon emission
* @param ev Event
* @returns Is the event a forward unordered emission
*
* \see is_unordered_backward
*/
bool is_unordered_forward(Event const & ev){
auto const & in = ev.incoming();
auto const & out = ev.outgoing();
assert(std::is_sorted(begin(in), end(in), pz_less{}));
assert(valid_outgoing(begin(out), end(out)));
if(out.size() < 3) return false;
if(ev.jets().size() < 3) return false;
if(in.back().type == pid::gluon) return false;
if(out.back().type != pid::gluon) return false;
// When skipping the unordered emission
// the remainder should be a regular FKL event,
// except that the (new) last outgoing particle must not be a A,W,Z,H.
const auto FKL_end = prev(end(out));
if(is_AWZH_boson(*prev(FKL_end))) return false;
if(!is_FKL(in, {begin(out), FKL_end})) return false;
// check that the unordered gluon forms an extra jet
const auto jets = sorted_by_rapidity(ev.jets());
const auto indices = ev.particle_jet_indices({jets.back()});
return indices.back() >= 0 && indices[indices.size()-2] == -1;
}
/**
* \brief Checks for a forward extremal qqx
* @param ev Event
* @returns Is the event a forward extremal qqx event
*
* Checks there is 3 or more than 3 constituents in the final state
* Checks there is 3 or more than 3 jets
* Checks most forwards incoming is gluon
* Checks most extremal particle is not a Higgs (either direction)
* Checks the second most forwards particle is not Higgs boson
* Checks the most forwards parton is a either quark or anti-quark.
* Checks the second most forwards parton is anti-quark or quark.
*/
bool is_Ex_qqxf(Event const & ev){
auto const & in = ev.incoming();
auto const & out = ev.outgoing();
assert(std::is_sorted(begin(in), end(in), pz_less{}));
assert(valid_outgoing(begin(out), end(out)));
int fkl_end=2;
if(out.size() < 3) return false;
if(ev.jets().size() < 3) return false;
if(in.back().type != pid::gluon) return false;
if(out.back().type == pid::Higgs || out.front().type == pid::Higgs
|| out.rbegin()[1].type == pid::Higgs) return false;
// if extremal AWZ
if(is_AWZ_boson(out.back())){ // if extremal AWZ
fkl_end++;
if (is_quark(out.rbegin()[1])){ //if second quark
if (!(is_antiquark(out.rbegin()[2]))) return false;// third must be anti-quark
}
else if (is_antiquark(out.rbegin()[1])){ //if second anti-quark
if (!(is_quark(out.rbegin()[2]))) return false;// third must be quark
}
else return false;
}
else if (is_quark(out.rbegin()[0])){ //if extremal quark
if(is_AWZ_boson(out.rbegin()[1])){ // if second AWZ
fkl_end++;
if (!(is_antiquark(out.rbegin()[2]))) return false;// third must be anti-quark
}
else if (!(is_antiquark(out.rbegin()[1]))) return false;// second must be anti-quark
}
else if (is_antiquark(out.rbegin()[0])){ //if extremal anti-quark
if(is_AWZ_boson(out.rbegin()[1])){ // if second AWZ
fkl_end++;
if (!(is_quark(out.rbegin()[2]))) return false;// third must be quark
- } //end second AWZ
+ }
else if (!(is_quark(out.rbegin()[1]))) return false;// second must be quark
- } // end extremal antiquark
+ }
// When skipping the qqbar
// New last outgoing particle must not be a Higgs
if (out.rbegin()[fkl_end].type == pid::Higgs) return false;
// Opposite current should be logical to process
if (is_AWZ_boson(out.front().type)){
return (is_Pure_Current(in.front().type, out[1].type)
|| is_W_Current(in.front().type,out[1].type));
}
else
return (is_Pure_Current(in.front().type, out[0].type)
|| is_W_Current(in.front().type,out[0].type));
}
/**
* \brief Checks for a backward extremal qqx
* @param ev Event
* @returns Is the event a backward extremal qqx event
*
* Checks there is 3 or more than 3 constituents in the final state
* Checks there is 3 or more than 3 jets
* Checks most backwards incoming is gluon
* Checks most extremal particle is not a Higgs (either direction) y
* Checks the second most backwards particle is not Higgs boson y
* Checks the most backwards parton is a either quark or anti-quark. y
* Checks the second most backwards parton is anti-quark or quark. y
*/
bool is_Ex_qqxb(Event const & ev){
auto const & in = ev.incoming();
auto const & out = ev.outgoing();
assert(std::is_sorted(begin(in), end(in), pz_less{}));
assert(valid_outgoing(begin(out), end(out)));
int fkl_start=2;
if(out.size() < 3) return false;
if(ev.jets().size() < 3) return false;
if(in.front().type != pid::gluon) return false;
if(out.back().type == pid::Higgs || out.front().type == pid::Higgs
|| out[1].type == pid::Higgs) return false;
- // if extremal AWZ
if(is_AWZ_boson(out.front())){ // if extremal AWZ
fkl_start++;
if (is_quark(out[1])){ //if second quark
if (!(is_antiquark(out[2]))) return false;// third must be anti-quark
}
else if (is_antiquark(out[1])){ //if second anti-quark
if (!(is_quark(out[2]))) return false;// third must be quark
}
else return false;
}
else if (is_quark(out[0])){ // if extremal quark
if(is_AWZ_boson(out[1])){ // if second AWZ
fkl_start++;
if (!(is_antiquark(out[2]))) return false;// third must be anti-quark
}
else if (!(is_antiquark(out[1]))) return false;// second must be anti-quark
}
else if (is_antiquark(out[0])){ //if extremal anti-quark
- if(is_AWZ_boson(out[1])){ // if second AWZ
- fkl_start++;
- if (!(is_quark(out[2]))) return false;// third must be quark
- }
- else if (!(is_quark(out[1]))) return false;// second must be quark
- } // end extremal antiquark
+ if(is_AWZ_boson(out[1])){ // if second AWZ
+ fkl_start++;
+ if (!(is_quark(out[2]))) return false;// third must be quark
+ }
+ else if (!(is_quark(out[1]))) return false;// second must be quark
+ }
// When skipping the qqbar
// New last outgoing particle must not be a Higgs.
if (out[fkl_start].type == pid::Higgs) return false;
// Other current should be logical to process
if (is_AWZ_boson(out.back())){
return (is_Pure_Current(in.back().type, out.rbegin()[1].type)
|| is_W_Current(in.back().type,out.rbegin()[1].type));
}
else
return (is_Pure_Current(in.back().type, out.rbegin()[0].type)
|| is_W_Current(in.back().type, out.rbegin()[0].type));
}
/**
* \brief Checks for a central qqx
* @param ev Event
* @returns Is the event a central extremal qqx event
*
* Checks there is 4 or more than 4 constuents in the final state
* Checks there is 4 or more than 4 jets
* Checks most extremal particle is not a Higgs (either direction) y
* Checks for a central quark in the outgoing states
* Checks for adjacent anti-quark parton. (allowing for AWZ boson emission between)
* Checks external currents are logically sound.
*/
bool is_Mid_qqx(Event const & ev){
auto const & in = ev.incoming();
auto const & out = ev.outgoing();
assert(std::is_sorted(begin(in), end(in), pz_less{}));
assert(valid_outgoing(begin(out), end(out)));
if(out.size() < 4) return false;
if(ev.jets().size() < 4) return false;
if(out.back().type == pid::Higgs || out.front().type == pid::Higgs)
return false;
- int start_FKL=0;
- int end_FKL=0;
+ size_t start_FKL=0;
+ size_t end_FKL=0;
if (is_AWZ_boson(out.back())){
end_FKL++;
}
if (is_AWZ_boson(out.front())){
start_FKL++;
}
if ((is_Pure_Current(in.back().type,out.rbegin()[end_FKL].type)
&& is_Pure_Current(in.front().type,out[start_FKL].type))){
//nothing to do
}
else if (is_W_Current(in.back().type,out.rbegin()[end_FKL].type)
&& is_Pure_Current(in.front().type,out[start_FKL].type)){
//nothing to do
}
else if (!(is_Pure_Current(in.back().type,out.rbegin()[end_FKL].type)
&& is_W_Current(in.front().type,out[start_FKL].type))){
return false;
}
- for(auto i=1+start_FKL; i<out.size()-1-end_FKL;i++){
- if (is_quark(out[i])){
- if ((is_antiquark(out[i-1]) && i!=1)
- || (is_antiquark(out[i+1]) && i!=out.size()-1-end_FKL))
- return true;
- else if (is_AWZ_boson(out[i-1]) && (is_antiquark(out[i-2]) && i!=2) )
- return true;
- else if (is_AWZ_boson(out[i+1]) && (is_antiquark(out[i+2]) && i!=out.size()-2) )
- return true;
- }
+ for(size_t i=1+start_FKL; i<out.size()-1-end_FKL;i++){
+ if (is_quark(out[i])){
+ if ((is_antiquark(out[i-1]) && i!=1)
+ || (is_antiquark(out[i+1]) && i!=out.size()-1-end_FKL))
+ return true;
+ else if (is_AWZ_boson(out[i-1]) && (is_antiquark(out[i-2]) && i!=2) )
+ return true;
+ else if (is_AWZ_boson(out[i+1]) && (is_antiquark(out[i+2]) && i!=out.size()-2) )
+ return true;
+ }
}
return false;
}
using event_type::EventType;
EventType classify(Event const & ev){
if(! final_state_ok(ev.outgoing())) return EventType::bad_final_state;
if(! has_2_jets(ev)) return EventType::no_2_jets;
if(is_FKL(ev.incoming(), ev.outgoing())) {
return EventType::FKL;
}
if(is_unordered_backward(ev)){
return EventType::unordered_backward;
}
if(is_unordered_forward(ev)){
return EventType::unordered_forward;
}
if(is_Ex_qqxb(ev)){
return EventType::extremal_qqxb;
}
if(is_Ex_qqxf(ev)){
return EventType::extremal_qqxf;
}
if(is_Mid_qqx(ev)){
return EventType::central_qqx;
}
return EventType::nonHEJ;
}
Particle extract_particle(LHEF::HEPEUP const & hepeup, int i){
return Particle{
static_cast<ParticleID>(hepeup.IDUP[i]),
fastjet::PseudoJet{
hepeup.PUP[i][0], hepeup.PUP[i][1],
hepeup.PUP[i][2], hepeup.PUP[i][3]
}
};
}
bool is_decay_product(std::pair<int, int> const & mothers){
if(mothers.first == 0) return false;
return mothers.second == 0 || mothers.first == mothers.second;
}
- }
+ } // namespace anonymous
UnclusteredEvent::UnclusteredEvent(LHEF::HEPEUP const & hepeup):
central(EventParameters{
hepeup.scales.mur, hepeup.scales.muf, hepeup.weight()
})
{
size_t in_idx = 0;
for (int i = 0; i < hepeup.NUP; ++i) {
// skip decay products
// we will add them later on, but we have to ensure that
// the decayed particle is added before
if(is_decay_product(hepeup.MOTHUP[i])) continue;
auto particle = extract_particle(hepeup, i);
// needed to identify mother particles for decay products
particle.p.set_user_index(i+1);
if(hepeup.ISTUP[i] == status_in){
- if(in_idx > incoming.size()) {
- throw std::invalid_argument{
- "Event has too many incoming particles"
- };
- }
- incoming[in_idx++] = std::move(particle);
+ if(in_idx > incoming.size()) {
+ throw std::invalid_argument{
+ "Event has too many incoming particles"
+ };
+ }
+ incoming[in_idx++] = std::move(particle);
}
else outgoing.emplace_back(std::move(particle));
}
std::sort(
begin(incoming), end(incoming),
[](Particle o1, Particle o2){return o1.p.pz()<o2.p.pz();}
);
std::sort(begin(outgoing), end(outgoing), rapidity_less{});
// add decay products
for (int i = 0; i < hepeup.NUP; ++i) {
if(!is_decay_product(hepeup.MOTHUP[i])) continue;
const int mother_id = hepeup.MOTHUP[i].first;
const auto mother = std::find_if(
begin(outgoing), end(outgoing),
[mother_id](Particle const & particle){
return particle.p.user_index() == mother_id;
}
);
if(mother == end(outgoing)){
throw std::invalid_argument{"invalid decay product parent"};
}
const int mother_idx = std::distance(begin(outgoing), mother);
assert(mother_idx >= 0);
decays[mother_idx].emplace_back(extract_particle(hepeup, i));
}
}
Event::Event(
UnclusteredEvent ev,
fastjet::JetDefinition const & jet_def, double min_jet_pt
):
ev_{std::move(ev)},
cs_{to_PseudoJet(filter_partons(ev_.outgoing)), jet_def},
min_jet_pt_{min_jet_pt}
{
type_ = classify(*this);
}
std::vector<fastjet::PseudoJet> Event::jets() const{
return cs_.inclusive_jets(min_jet_pt_);
}
/**
* \brief Returns the invarient mass of the event
* @param ev Event
* @returns s hat
*
* Makes use of the FastJet PseudoJet function m2().
* Applies this function to the sum of the incoming partons.
*/
double shat(Event const & ev){
return (ev.incoming()[0].p + ev.incoming()[1].p).m2();
}
namespace{
// colour flow according to Les Houches standard
// TODO: stub
std::vector<std::pair<int, int>> colour_flow(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing
){
std::vector<std::pair<int, int>> result(
incoming.size() + outgoing.size()
);
for(auto & col: result){
col = std::make_pair(-1, -1);
}
return result;
}
}
LHEF::HEPEUP to_HEPEUP(Event const & event, LHEF::HEPRUP * heprup){
LHEF::HEPEUP result;
result.heprup = heprup;
result.weights = {{event.central().weight, nullptr}};
for(auto const & var: event.variations()){
result.weights.emplace_back(var.weight, nullptr);
}
size_t num_particles = event.incoming().size() + event.outgoing().size();
for(auto const & decay: event.decays()) num_particles += decay.second.size();
result.NUP = num_particles;
// the following entries are pretty much meaningless
result.IDPRUP = event.type()+1; // event ID
result.AQEDUP = 1./128.; // alpha_EW
//result.AQCDUP = 0.118 // alpha_QCD
// end meaningless part
result.XWGTUP = event.central().weight;
result.SCALUP = event.central().muf;
result.scales.muf = event.central().muf;
result.scales.mur = event.central().mur;
result.scales.SCALUP = event.central().muf;
result.pdfinfo.p1 = event.incoming().front().type;
result.pdfinfo.p2 = event.incoming().back().type;
result.pdfinfo.scale = event.central().muf;
for(Particle const & in: event.incoming()){
result.IDUP.emplace_back(in.type);
result.ISTUP.emplace_back(status_in);
result.PUP.push_back({in.p[0], in.p[1], in.p[2], in.p[3], in.p.m()});
result.MOTHUP.emplace_back(0, 0);
}
for(size_t i = 0; i < event.outgoing().size(); ++i){
Particle const & out = event.outgoing()[i];
result.IDUP.emplace_back(out.type);
const int status = event.decays().count(i)?status_decayed:status_out;
result.ISTUP.emplace_back(status);
result.PUP.push_back({out.p[0], out.p[1], out.p[2], out.p[3], out.p.m()});
result.MOTHUP.emplace_back(1, 2);
}
result.ICOLUP = colour_flow(
event.incoming(), filter_partons(event.outgoing())
);
if(result.ICOLUP.size() < num_particles){
const size_t AWZH_boson_idx = std::find_if(
begin(event.outgoing()), end(event.outgoing()),
[](Particle const & s){ return is_AWZH_boson(s); }
) - begin(event.outgoing()) + event.incoming().size();
assert(AWZH_boson_idx <= result.ICOLUP.size());
result.ICOLUP.insert(
begin(result.ICOLUP) + AWZH_boson_idx,
std::make_pair(0,0)
);
}
for(auto const & decay: event.decays()){
for(auto const out: decay.second){
result.IDUP.emplace_back(out.type);
result.ISTUP.emplace_back(status_out);
result.PUP.push_back({out.p[0], out.p[1], out.p[2], out.p[3], out.p.m()});
const int mother_idx = 1 + event.incoming().size() + decay.first;
result.MOTHUP.emplace_back(mother_idx, mother_idx);
result.ICOLUP.emplace_back(0,0);
}
}
assert(result.ICOLUP.size() == num_particles);
static constexpr double unknown_spin = 9.; //per Les Houches accord
result.VTIMUP = std::vector<double>(num_particles, unknown_spin);
result.SPINUP = result.VTIMUP;
return result;
}
}
diff --git a/src/MatrixElement.cc b/src/MatrixElement.cc
index a1d09d7..e129609 100644
--- a/src/MatrixElement.cc
+++ b/src/MatrixElement.cc
@@ -1,994 +1,1601 @@
#include "RHEJ/MatrixElement.hh"
#include <CLHEP/Random/Randomize.h>
#include <CLHEP/Random/RanluxEngine.h>
#include "RHEJ/Constants.hh"
#include "RHEJ/currents.hh"
#include "RHEJ/PDG_codes.hh"
#include "RHEJ/uno.hh"
#include "RHEJ/qqx.hh"
#include "RHEJ/utility.hh"
namespace RHEJ{
//cf. last line of eq. (22) in \ref Andersen:2011hs
double MatrixElement::omega0(
double alpha_s, double mur,
fastjet::PseudoJet const & q_j, double lambda
) const {
const double result = - alpha_s*N_C/M_PI*log(q_j.perp2()/(lambda*lambda));
if(! param_.log_correction) return result;
// use alpha_s(sqrt(q_j*lambda)), evolved to mur
return (
1. + alpha_s/(4.*M_PI)*beta0*log(mur*mur/(q_j.perp()*lambda))
)*result;
}
double MatrixElement::virtual_corrections(
double mur,
std::array<Particle, 2> const & in,
std::vector<Particle> const & out
) const{
fastjet::PseudoJet const & pa = in.front().p;
#ifndef NDEBUG
fastjet::PseudoJet const & pb = in.back().p;
double const norm = (in.front().p + in.back().p).E();
#endif
assert(std::is_sorted(out.begin(), out.end(), rapidity_less{}));
assert(out.size() >= 2);
assert(pa.pz() < pb.pz());
fastjet::PseudoJet q = pa - out[0].p;
size_t first_idx = 0;
size_t last_idx = out.size() - 1;
// if there is a Higgs or unordered gluon outside the extremal partons
// then it is not part of the FKL ladder and does not contribute
// to the virtual corrections
if(out.front().type == pid::Higgs || has_unob_gluon(in, out)){
q -= out[1].p;
++first_idx;
}
if(out.back().type == pid::Higgs || has_unof_gluon(in, out)){
--last_idx;
}
double exponent = 0;
const double alpha_s = alpha_s_(mur);
for(size_t j = first_idx; j < last_idx; ++j){
exponent += omega0(alpha_s, mur, q, CLAMBDA)*(
out[j+1].rapidity() - out[j].rapidity()
);
q -= out[j+1].p;
}
assert(
nearby(q, -1*pb, norm)
|| out.back().type == pid::Higgs
|| has_unof_gluon(in, out)
);
return exp(exponent);
}
} // namespace RHEJ
namespace {
//! Lipatov vertex for partons emitted into extremal jets
double C2Lipatov(CLHEP::HepLorentzVector qav, CLHEP::HepLorentzVector qbv,
CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector p2)
{
CLHEP::HepLorentzVector temptrans=-(qav+qbv);
CLHEP::HepLorentzVector p5=qav-qbv;
CLHEP::HepLorentzVector CL=temptrans
+ p1*(qav.m2()/p5.dot(p1) + 2.*p5.dot(p2)/p1.dot(p2))
- p2*(qbv.m2()/p5.dot(p2) + 2.*p5.dot(p1)/p1.dot(p2));
// cout << "#Fadin qa : "<<qav<<endl;
// cout << "#Fadin qb : "<<qbv<<endl;
// cout << "#Fadin p1 : "<<p1<<endl;
// cout << "#Fadin p2 : "<<p2<<endl;
// cout << "#Fadin p5 : "<<p5<<endl;
// cout << "#Fadin Gauge Check : "<< CL.dot(p5)<<endl;
// cout << "#Fadin C2L : "<< -CL.dot(CL)<<" "<<-CL.dot(CL)/(qav.m2()*qbv.m2())/(4./p5.perp2())<<endl;
// TODO can this dead test go?
// if (-CL.dot(CL)<0.)
// if (fabs(CL.dot(p5))>fabs(CL.dot(CL))) // not sufficient!
// return 0.;
// else
return -CL.dot(CL);
}
//! Lipatov vertex with soft subtraction for partons emitted into extremal jets
double C2Lipatovots(CLHEP::HepLorentzVector qav, CLHEP::HepLorentzVector qbv,
CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector p2)
{
double kperp=(qav-qbv).perp();
if (kperp>RHEJ::CLAMBDA)
return C2Lipatov(qav, qbv, p1, p2)/(qav.m2()*qbv.m2());
else {
double Cls=(C2Lipatov(qav, qbv, p1, p2)/(qav.m2()*qbv.m2()));
return Cls-4./(kperp*kperp);
}
}
//! Lipatov vertex
double C2Lipatov(CLHEP::HepLorentzVector qav, CLHEP::HepLorentzVector qbv,
CLHEP::HepLorentzVector pim, CLHEP::HepLorentzVector pip,
CLHEP::HepLorentzVector pom, CLHEP::HepLorentzVector pop) // B
{
CLHEP::HepLorentzVector temptrans=-(qav+qbv);
CLHEP::HepLorentzVector p5=qav-qbv;
CLHEP::HepLorentzVector CL=temptrans
+ qav.m2()*(1./p5.dot(pip)*pip + 1./p5.dot(pop)*pop)/2.
- qbv.m2()*(1./p5.dot(pim)*pim + 1./p5.dot(pom)*pom)/2.
+ ( pip*(p5.dot(pim)/pip.dot(pim) + p5.dot(pom)/pip.dot(pom))
+ pop*(p5.dot(pim)/pop.dot(pim) + p5.dot(pom)/pop.dot(pom))
- pim*(p5.dot(pip)/pip.dot(pim) + p5.dot(pop)/pop.dot(pim))
- pom*(p5.dot(pip)/pip.dot(pom) + p5.dot(pop)/pop.dot(pom)) )/2.;
return -CL.dot(CL);
}
//! Lipatov vertex with soft subtraction
double C2Lipatovots(CLHEP::HepLorentzVector qav, CLHEP::HepLorentzVector qbv,
CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector pb,
CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector p2)
{
double kperp=(qav-qbv).perp();
if (kperp>RHEJ::CLAMBDA)
return C2Lipatov(qav, qbv, pa, pb, p1, p2)/(qav.m2()*qbv.m2());
else {
double Cls=(C2Lipatov(qav, qbv, pa, pb, p1, p2)/(qav.m2()*qbv.m2()));
double temp=Cls-4./(kperp*kperp);
return temp;
}
}
/** Matrix element squared for tree-level current-current scattering
* @param aptype Particle a PDG ID
* @param bptype Particle b PDG ID
* @param pn Particle n Momentum
* @param pb Particle b Momentum
* @param p1 Particle 1 Momentum
* @param pa Particle a Momentum
* @returns ME Squared for Tree-Level Current-Current Scattering
*/
double ME_current(
int aptype, int bptype,
CLHEP::HepLorentzVector const & pn,
CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & p1,
CLHEP::HepLorentzVector const & pa
){
if (aptype==21&&bptype==21) {
return jM2gg(pn,pb,p1,pa);
} else if (aptype==21&&bptype!=21) {
if (bptype > 0)
return jM2qg(pn,pb,p1,pa);
else
return jM2qbarg(pn,pb,p1,pa);
}
else if (bptype==21&&aptype!=21) { // ----- || -----
if (aptype > 0)
return jM2qg(p1,pa,pn,pb);
else
return jM2qbarg(p1,pa,pn,pb);
}
else { // they are both quark
if (bptype>0) {
if (aptype>0)
return jM2qQ(pn,pb,p1,pa);
else
return jM2qQbar(pn,pb,p1,pa);
}
else {
if (aptype>0)
return jM2qQbar(p1,pa,pn,pb);
else
return jM2qbarQbar(pn,pb,p1,pa);
}
}
throw std::logic_error("unknown particle types");
}
/** Matrix element squared for tree-level current-current scattering With W+Jets
* @param aptype Particle a PDG ID
* @param bptype Particle b PDG ID
* @param pn Particle n Momentum
* @param pb Particle b Momentum
* @param p1 Particle 1 Momentum
* @param pa Particle a Momentum
* @returns ME Squared for Tree-Level Current-Current Scattering
*/
double ME_W_current(
int aptype, int bptype,
CLHEP::HepLorentzVector const & pn,
CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & p1,
CLHEP::HepLorentzVector const & pa,
CLHEP::HepLorentzVector const & plbar,
- CLHEP::HepLorentzVector const & pl
+ CLHEP::HepLorentzVector const & pl,
+ bool const wc
){
- if (aptype==21&&bptype==21) {
- throw std::logic_error("gg incoming in W+jets, qqx not yet implemented");
- } else if (aptype==21&&bptype!=21) {
+ // We know it cannot be gg incoming.
+ if (aptype==21&&bptype!=21) {
if (bptype > 0)
return jMWqg(pn,pl,plbar,pb,p1,pa);
else
return jMWqbarg(pn,pl,plbar,pb,p1,pa);
}
else if (bptype==21&&aptype!=21) { // ----- || -----
if (aptype > 0)
return jMWqg(p1,pl,plbar,pa,pn,pb);
else
return jMWqbarg(p1,pl,plbar,pa,pn,pb);
}
else { // they are both quark
- if (bptype>0) {
- if (aptype>0)
- return jMWqQ(pn,pl,plbar,pb,p1,pa);
- else
- return jMWqQbar(pn,pl,plbar,pb,p1,pa);
+ if (wc==true){ // emission off b, (first argument pbout)
+ if (bptype>0) {
+ if (aptype>0)
+ return jMWqQ(pn,pl,plbar,pb,p1,pa);
+ else
+ return jMWqQbar(pn,pl,plbar,pb,p1,pa);
+ }
+ else {
+ if (aptype>0)
+ return jMWqbarQ(pn,pl,plbar,pb,p1,pa);
+ else
+ return jMWqbarQbar(pn,pl,plbar,pb,p1,pa);
+ }
}
- else {
- if (aptype>0)
- return jMWqQbar(p1,pl,plbar,pa,pn,pb);
- else
- return jMWqbarQbar(pn,pl,plbar,pb,p1,pa);
+ else{ // emission off a, (first argument paout)
+ if (aptype > 0) {
+ if (bptype > 0)
+ return jMWqQ(p1,plbar,pl,pa,pn,pb);
+ else
+ return jMWqQbar(p1,plbar,pl,pa,pn,pb);
+ }
+ else { // a is anti-quark
+ if (bptype > 0)
+ return jMWqbarQ(p1,plbar,pl,pa,pn,pb);
+ else
+ return jMWqbarQbar(p1,plbar,pl,pa,pn,pb);
+ }
+
}
}
throw std::logic_error("unknown particle types");
}
+ /** Matrix element squared for backwards uno tree-level current-current scattering With W+Jets
+ * @param aptype Particle a PDG ID
+ * @param bptype Particle b PDG ID
+ * @param pn Particle n Momentum
+ * @param pb Particle b Momentum
+ * @param p1 Particle 1 Momentum
+ * @param pa Particle a Momentum
+ * @param pg Unordered gluon momentum
+ * @returns ME Squared for unob Tree-Level Current-Current Scattering
+ */
+ double ME_W_unob_current(
+ int aptype, int bptype,
+ CLHEP::HepLorentzVector const & pn,
+ CLHEP::HepLorentzVector const & pb,
+ CLHEP::HepLorentzVector const & p1,
+ CLHEP::HepLorentzVector const & pa,
+ CLHEP::HepLorentzVector const & pg,
+ CLHEP::HepLorentzVector const & plbar,
+ CLHEP::HepLorentzVector const & pl,
+ bool const wc
+ ){
+ // we know they are not both gluons
+ if (bptype == 21 && aptype != 21) { // b gluon => W emission off a
+ if (aptype > 0)
+ return jM2Wunogqg(pg,p1,plbar,pl,pa,pn,pb);
+ else
+ return jM2Wunogqbarg(pg,p1,plbar,pl,pa,pn,pb);
+ }
+
+ else { // they are both quark
+ if (wc==true) {// emission off b, i.e. b is first current
+ if (bptype>0){
+ if (aptype>0)
+ return junobMWqQg(pn,plbar,pl,pb,p1,pa,pg);
+ else
+ return junobMWqQbarg(pn,plbar,pl,pb,p1,pa,pg);
+ }
+ else{
+ if (aptype>0)
+ return junobMWqbarQg(pn,plbar,pl,pb,p1,pa,pg);
+ else
+ return junobMWqbarQbarg(pn,plbar,pl,pb,p1,pa,pg);
+ }
+ }
+ else {// wc == false, emission off a, i.e. a is first current
+ if (aptype > 0) {
+ if (bptype > 0) //qq
+ return jM2WunogqQ(pg,p1,plbar,pl,pa,pn,pb);
+ else //qqbar
+ return jM2WunogqQbar(pg,p1,plbar,pl,pa,pn,pb);
+ }
+ else { // a is anti-quark
+ if (bptype > 0) //qbarq
+ return jM2WunogqbarQ(pg,p1,plbar,pl,pa,pn,pb);
+ else //qbarqbar
+ return jM2WunogqbarQbar(pg,p1,plbar,pl,pa,pn,pb);
+ }
+ }
+ }
+ }
+
+ /** Matrix element squared for uno forward tree-level current-current scattering With W+Jets
+ * @param aptype Particle a PDG ID
+ * @param bptype Particle b PDG ID
+ * @param pn Particle n Momentum
+ * @param pb Particle b Momentum
+ * @param p1 Particle 1 Momentum
+ * @param pa Particle a Momentum
+ * @param pg Unordered gluon momentum
+ * @returns ME Squared for unof Tree-Level Current-Current Scattering
+ */
+ double ME_W_unof_current(
+ int aptype, int bptype,
+ CLHEP::HepLorentzVector const & pn,
+ CLHEP::HepLorentzVector const & pb,
+ CLHEP::HepLorentzVector const & p1,
+ CLHEP::HepLorentzVector const & pa,
+ CLHEP::HepLorentzVector const & pg,
+ CLHEP::HepLorentzVector const & plbar,
+ CLHEP::HepLorentzVector const & pl,
+ bool const wc
+ ){
+
+ // we know they are not both gluons
+ if (aptype==21 && bptype!=21) {//a gluon => W emission off b
+ if (bptype > 0)
+ return jM2Wunogqg(pg, pn,plbar, pl, pb, p1, pa);
+ else
+ return jM2Wunogqbarg(pg, pn,plbar, pl, pb, p1, pa);
+ }
+ else { // they are both quark
+ if (wc==true) {// emission off b, i.e. b is first current
+ if (bptype>0){
+ if (aptype>0)
+ return jM2WunogqQ(pg,pn,plbar,pl,pb,p1,pa);
+ else
+ return jM2WunogqQbar(pg,pn,plbar,pl,pb,p1,pa);
+ }
+ else{
+ if (aptype>0)
+ return jM2WunogqbarQ(pg,pn,plbar,pl,pb,p1,pa);
+ else
+ return jM2WunogqbarQbar(pg,pn,plbar,pl,pb,p1,pa);
+ }
+ }
+ else {// wc == false, emission off a, i.e. a is first current
+ if (aptype > 0) {
+ if (bptype > 0) //qq
+ return junofMWgqQ(pg,pn,pb,p1,plbar,pl,pa);
+ else //qqbar
+ return junofMWgqQbar(pg,pn,pb,p1,plbar,pl,pa);
+ }
+ else { // a is anti-quark
+ if (bptype > 0) //qbarq
+ return junofMWgqbarQ(pg,pn,pb,p1,plbar,pl,pa);
+ else //qbarqbar
+ return junofMWgqbarQbar(pg,pn,pb,p1,plbar,pl,pa);
+ }
+ }
+ }
+ }
+
+ /** \brief Matrix element squared for backward qqx tree-level current-current scattering With W+Jets
+ * @param aptype Particle a PDG ID
+ * @param bptype Particle b PDG ID
+ * @param pa Initial state a Momentum
+ * @param pb Initial state b Momentum
+ * @param pq Final state q Momentum
+ * @param pqbar Final state qbar Momentum
+ * @param pn Final state n Momentum
+ * @param plbar Final state anti-lepton momentum
+ * @param pl Final state lepton momentum
+ * @returns ME Squared for qqxb Tree-Level Current-Current Scattering
+ */
+ double ME_W_qqxb_current(
+ int aptype, int bptype,
+ CLHEP::HepLorentzVector const & pa,
+ CLHEP::HepLorentzVector const & pb,
+ CLHEP::HepLorentzVector const & pq,
+ CLHEP::HepLorentzVector const & pqbar,
+ CLHEP::HepLorentzVector const & pn,
+ CLHEP::HepLorentzVector const & plbar,
+ CLHEP::HepLorentzVector const & pl,
+ bool const wc
+ ){
+ // CAM factors for the qqx amps, and qqbar ordering (default, qbar extremal)
+ bool swapQuarkAntiquark=false;
+ double CFbackward;
+ if (pqbar.rapidity() > pq.rapidity()){
+ swapQuarkAntiquark=true;
+ CFbackward = (0.5*(3.-1./3.)*(pa.minus()/(pq.minus())+(pq.minus())/pa.minus())+1./3.)*3./4.;
+ }
+ else{
+ CFbackward = (0.5*(3.-1./3.)*(pa.minus()/(pqbar.minus())+(pqbar.minus())/pa.minus())+1./3.)*3./4.;
+ }
+ // With qqbar we could have 2 incoming gluons and W Emission
+ if (aptype==21&&bptype==21) {//a gluon, b gluon gg->qqbarWg
+ // This will be a wqqx emission as there is no other possible W Emission Site.
+ if (swapQuarkAntiquark){
+ return jM2Wggtoqqbarg(pa, pqbar, plbar, pl, pq, pn,pb)*CFbackward;}
+ else {
+ return jM2Wggtoqbarqg(pa, pq, plbar, pl, pqbar, pn,pb)*CFbackward;}
+ }
+ else if (aptype==21&&bptype!=21 ) {//a gluon => W emission off b leg or qqx
+ if (wc!=1){ // W Emitted from backwards qqx
+ if (swapQuarkAntiquark){
+ return jM2WgQtoqqbarQ(pa, pq, plbar, pl, pqbar, pn, pb)*CFbackward;}
+ else{
+ return jM2WgQtoqbarqQ(pa, pq, plbar, pl, pqbar, pn, pb)*CFbackward;}
+ }
+ else { // W Must be emitted from forwards leg.
+ if (swapQuarkAntiquark){
+ return jM2WgqtoQQqW(pb, pa, pn, pqbar, pq, plbar, pl)*CFbackward;}
+ else{
+ return jM2WgqtoQQqW(pb, pa, pn, pq, pqbar, plbar, pl)*CFbackward;}
+ }
+ }
+ else{
+ throw std::logic_error("Incompatible incoming particle types with qqxb");
+ }
+ }
+
+ /* \brief Matrix element squared for forward qqx tree-level current-current scattering With W+Jets
+ * @param aptype Particle a PDG ID
+ * @param bptype Particle b PDG ID
+ * @param pa Initial state a Momentum
+ * @param pb Initial state b Momentum
+ * @param pq Final state q Momentum
+ * @param pqbar Final state qbar Momentum
+ * @param p1 Final state 1 Momentum
+ * @param plbar Final state anti-lepton momentum
+ * @param pl Final state lepton momentum
+ * @returns ME Squared for qqxf Tree-Level Current-Current Scattering
+ */
+ double ME_W_qqxf_current(
+ int aptype, int bptype,
+ CLHEP::HepLorentzVector const & pa,
+ CLHEP::HepLorentzVector const & pb,
+ CLHEP::HepLorentzVector const & pq,
+ CLHEP::HepLorentzVector const & pqbar,
+ CLHEP::HepLorentzVector const & p1,
+ CLHEP::HepLorentzVector const & plbar,
+ CLHEP::HepLorentzVector const & pl,
+ bool const wc
+ ){
+ // CAM factors for the qqx amps, and qqbar ordering (default, qbar extremal)
+ bool swapQuarkAntiquark=false;
+ double CFforward;
+ if (pqbar.rapidity() < pq.rapidity()){
+ swapQuarkAntiquark=true;
+ CFforward = (0.5*(3.-1./3.)*(pb.plus()/(pq.plus())+(pq.plus())/pb.plus())+1./3.)*3./4.;
+ }
+ else{
+ CFforward = (0.5*(3.-1./3.)*(pb.plus()/(pqbar.plus())+(pqbar.plus())/pb.plus())+1./3.)*3./4.;
+ }
+
+ // With qqbar we could have 2 incoming gluons and W Emission
+ if (aptype==21&&bptype==21) {//a gluon, b gluon gg->qqbarWg
+ // This will be a wqqx emission as there is no other possible W Emission Site.
+ if (swapQuarkAntiquark){
+ return jM2Wggtoqqbarg(pb, pqbar, plbar, pl, pq, p1,pa)*CFforward;}
+ else {
+ return jM2Wggtoqbarqg(pb, pq, plbar, pl, pqbar, p1,pa)*CFforward;}
+ }
+
+ else if (bptype==21&&aptype!=21) {// b gluon => W emission off a or qqx
+ if (wc==1){ // W Emitted from forwards qqx
+ if (swapQuarkAntiquark){
+ return jM2WgQtoqbarqQ(pb, pq, plbar,pl, pqbar, p1, pa)*CFforward;}
+ else {
+ return jM2WgQtoqqbarQ(pb, pq, plbar,pl, pqbar, p1, pa)*CFforward;}
+ }
+ // W Must be emitted from backwards leg.
+ if (swapQuarkAntiquark){
+ return jM2WgqtoQQqW(pa,pb, p1, pqbar, pq, plbar, pl)*CFforward;}
+ else{
+ return jM2WgqtoQQqW(pa,pb, p1, pq, pqbar, plbar, pl)*CFforward;}
+ }
+ else{
+ throw std::logic_error("Incompatible incoming particle types with qqxf");
+ }
+ }
+
+ /* \brief Matrix element squared for central qqx tree-level current-current scattering With W+Jets
+ * @param aptype Particle a PDG ID
+ * @param bptype Particle b PDG ID
+ * @param nabove Number of gluons emitted before central qqxpair
+ * @param nbelow Number of gluons emitted after central qqxpair
+ * @param pa Initial state a Momentum
+ * @param pb Initial state b Momentum\
+ * @param pq Final state qbar Momentum
+ * @param pqbar Final state q Momentum
+ * @param partons Vector of all outgoing partons
+ * @param plbar Final state anti-lepton momentum
+ * @param pl Final state lepton momentum
+ * @param wqq Boolean. True siginfies W boson is emitted from Central qqx
+ * @param wc Boolean. wc=true signifies w boson emitted from leg b; if wqq=false.
+ * @returns ME Squared for qqxmid Tree-Level Current-Current Scattering
+ */
+ double ME_W_qqxmid_current(
+ int aptype, int bptype,
+ int nabove, int nbelow,
+ CLHEP::HepLorentzVector const & pa,
+ CLHEP::HepLorentzVector const & pb,
+ CLHEP::HepLorentzVector const & pq,
+ CLHEP::HepLorentzVector const & pqbar,
+ std::vector<HLV> partons,
+ CLHEP::HepLorentzVector const & plbar,
+ CLHEP::HepLorentzVector const & pl,
+ bool const wqq, bool const wc
+ ){
+ // CAM factors for the qqx amps, and qqbar ordering (default, pq backwards)
+ bool swapQuarkAntiquark=false;
+ if (pqbar.rapidity() < pq.rapidity()){
+ swapQuarkAntiquark=true;
+ }
+ double CFforward = (0.5*(3.-1./3.)*(pb.plus()/(partons[partons.size()-1].plus())+(partons[partons.size()-1].plus())/pb.plus())+1./3.)*3./4.;
+ double CFbackward = (0.5*(3.-1./3.)*(pa.minus()/(partons[0].minus())+(partons[0].minus())/pa.minus())+1./3.)*3./4.;
+ double wt=1.;
+
+ if (aptype==21) wt*=CFbackward;
+ if (bptype==21) wt*=CFforward;
+
+ if (aptype <=0 && bptype <=0){ // Both External AntiQuark
+ if (wqq==1){//emission from central qqbar
+ return wt*jM2WqqtoqQQq(pa, pb, pl,plbar, partons,true,true, swapQuarkAntiquark, nabove);
+ }
+ else if (wc==1){//emission from b leg
+ return wt*jM2WqqtoqQQqW(pa, pb, pl,plbar, partons, true,true, swapQuarkAntiquark, nabove, nbelow, true);
+ }
+ else { // emission from a leg
+ return wt*jM2WqqtoqQQqW(pa, pb, pl,plbar, partons, true,true, swapQuarkAntiquark, nabove, nbelow, false);
+ }
+ } // end both antiquark
+ else if (aptype<=0){ // a is antiquark
+ if (wqq==1){//emission from central qqbar
+ return wt*jM2WqqtoqQQq(pa, pb, pl,plbar, partons, false, true, swapQuarkAntiquark, nabove);
+ }
+ else if (wc==1){//emission from b leg
+ return wt*jM2WqqtoqQQqW(pa, pb, pl,plbar, partons,false,true, swapQuarkAntiquark, nabove, nbelow, true);
+ }
+ else { // emission from a leg
+ return wt*jM2WqqtoqQQqW(pa, pb, pl,plbar, partons, false, true, swapQuarkAntiquark, nabove, nbelow, false);
+ }
+
+ } // end a is antiquark
+
+ else if (bptype<=0){ // b is antiquark
+ if (wqq==1){//emission from central qqbar
+ return wt*jM2WqqtoqQQq(pa, pb, pl,plbar, partons, true, false, swapQuarkAntiquark, nabove);
+ }
+ else if (wc==1){//emission from b leg
+ return wt*jM2WqqtoqQQqW(pa, pb, pl,plbar, partons, true, false, swapQuarkAntiquark, nabove, nbelow, true);
+ }
+ else { // emission from a leg
+ return wt*jM2WqqtoqQQqW(pa, pb, pl,plbar, partons, true, false, swapQuarkAntiquark, nabove, nbelow, false);
+ }
+
+ } //end b is antiquark
+ else{ //Both Quark or gluon
+ if (wqq==1){//emission from central qqbar
+ return wt*jM2WqqtoqQQq(pa, pb, pl, plbar, partons, false, false, swapQuarkAntiquark, nabove);}
+ else if (wc==1){//emission from b leg
+ return wt*jM2WqqtoqQQqW(pa, pb, pl,plbar, partons, false, false, swapQuarkAntiquark, nabove, nbelow, true);
+ }
+ else { // emission from a leg
+ return wt*jM2WqqtoqQQqW(pa, pb, pl,plbar, partons, false, false, swapQuarkAntiquark, nabove, nbelow, false);
+ }
+
+ }
+ }
/** \brief Matrix element squared for tree-level current-current scattering with Higgs
* @param aptype Particle a PDG ID
* @param bptype Particle b PDG ID
* @param pn Particle n Momentum
* @param pb Particle b Momentum
* @param p1 Particle 1 Momentum
* @param pa Particle a Momentum
* @param qH t-channel momentum before Higgs
* @param qHp1 t-channel momentum after Higgs
* @returns ME Squared for Tree-Level Current-Current Scattering with Higgs
*/
double ME_Higgs_current(
int aptype, int bptype,
CLHEP::HepLorentzVector const & pn,
CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & p1,
CLHEP::HepLorentzVector const & pa,
CLHEP::HepLorentzVector const & qH, // t-channel momentum before Higgs
CLHEP::HepLorentzVector const & qHp1, // t-channel momentum after Higgs
double mt, bool include_bottom, double mb
){
if (aptype==21&&bptype==21) // gg initial state
return MH2gg(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
else if (aptype==21&&bptype!=21) {
if (bptype > 0)
return MH2qg(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb)*4./9.;
else
return MH2qbarg(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb)*4./9.;
}
else if (bptype==21&&aptype!=21) {
if (aptype > 0)
return MH2qg(p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb)*4./9.;
else
return MH2qbarg(p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb)*4./9.;
}
else { // they are both quark
if (bptype>0) {
if (aptype>0)
return MH2qQ(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb)*4.*4./(9.*9.);
else
return MH2qQbar(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb)*4.*4./(9.*9.);
}
else {
if (aptype>0)
return MH2qQbar(p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb)*4.*4./(9.*9.);
else
return MH2qbarQbar(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb)*4.*4./(9.*9.);
}
}
throw std::logic_error("unknown particle types");
}
/** \brief Current matrix element squared with Higgs and unordered forward emission
* @param aptype Particle A PDG ID
* @param bptype Particle B PDG ID
* @param punof Unordered Particle Momentum
* @param pn Particle n Momentum
* @param pb Particle b Momentum
* @param p1 Particle 1 Momentum
* @param pa Particle a Momentum
* @param qH t-channel momentum before Higgs
* @param qHp1 t-channel momentum after Higgs
* @returns ME Squared with Higgs and unordered forward emission
*/
double ME_Higgs_current_unof(
int aptype, int bptype,
CLHEP::HepLorentzVector const & punof,
CLHEP::HepLorentzVector const & pn,
CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & p1,
CLHEP::HepLorentzVector const & pa,
CLHEP::HepLorentzVector const & qH, // t-channel momentum before Higgs
CLHEP::HepLorentzVector const & qHp1, // t-channel momentum after Higgs
double mt, bool include_bottom, double mb
){
if (aptype==21&&bptype!=21) {
if (bptype > 0)
return jM2unogqHg(punof,pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
else
return jM2unogqbarHg(punof,pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
}
else { // they are both quark
if (bptype>0) {
if (aptype>0)
return jM2unogqHQ(punof,pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
else
return jM2unogqHQbar(punof,pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
}
else {
if (aptype>0)
return jM2unogqbarHQ(punof,pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
else
return jM2unogqbarHQbar(punof,pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
}
}
throw std::logic_error("unknown particle types");
}
/** \brief Current matrix element squared with Higgs and unordered backward emission
* @param aptype Particle A PDG ID
* @param bptype Particle B PDG ID
* @param pn Particle n Momentum
* @param pb Particle b Momentum
* @param punob Unordered back Particle Momentum
* @param p1 Particle 1 Momentum
* @param pa Particle a Momentum
* @param qH t-channel momentum before Higgs
* @param qHp1 t-channel momentum after Higgs
* @returns ME Squared with Higgs and unordered backward emission
*/
double ME_Higgs_current_unob(
int aptype, int bptype,
CLHEP::HepLorentzVector const & pn,
CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & punob,
CLHEP::HepLorentzVector const & p1,
CLHEP::HepLorentzVector const & pa,
CLHEP::HepLorentzVector const & qH, // t-channel momentum before Higgs
CLHEP::HepLorentzVector const & qHp1, // t-channel momentum after Higgs
double mt, bool include_bottom, double mb
){
if (bptype==21&&aptype!=21) {
if (aptype > 0)
return jM2unobgHQg(pn,pb,punob,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
else
return jM2unobgHQbarg(pn,pb,punob,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
}
else { // they are both quark
if (aptype>0) {
if (bptype>0)
return jM2unobqHQg(pn,pb,punob,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
else
return jM2unobqbarHQg(pn,pb,punob,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
}
else {
if (bptype>0)
return jM2unobqHQbarg(pn,pb,punob,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
else
return jM2unobqbarHQbarg(pn,pb,punob,p1,pa,-qHp1,-qH,mt,include_bottom,mb);
}
}
throw std::logic_error("unknown particle types");
}
CLHEP::HepLorentzVector to_HepLorentzVector(RHEJ::Particle const & particle){
return {particle.p.px(), particle.p.py(), particle.p.pz(), particle.p.E()};
}
void validate(RHEJ::MatrixElementConfig const & config) {
#ifndef RHEJ_BUILD_WITH_QCDLOOP
if(!config.Higgs_coupling.use_impact_factors) {
throw std::invalid_argument{
"Invalid Higgs coupling settings.\n"
"HEJ without QCDloop support can only use impact factors.\n"
"Set use_impact_factors to true or recompile HEJ.\n"
};
}
#endif
if(config.Higgs_coupling.use_impact_factors
&& config.Higgs_coupling.mt != std::numeric_limits<double>::infinity()) {
throw std::invalid_argument{
"Conflicting settings: "
"impact factors may only be used in the infinite top mass limit"
};
}
}
} // namespace anonymous
namespace RHEJ{
MatrixElement::MatrixElement(
std::function<double (double)> alpha_s,
MatrixElementConfig conf
):
alpha_s_{std::move(alpha_s)},
param_{std::move(conf)}
{
validate(param_);
}
double MatrixElement::operator()(
double mur,
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
std::unordered_map<int, std::vector<Particle>> const & decays,
bool check_momenta
) const {
return tree(
mur,
incoming, outgoing, decays,
check_momenta
)*virtual_corrections(
mur,
incoming, outgoing
);
}
double MatrixElement::tree_kin(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
std::unordered_map<int, std::vector<Particle>> const & decays,
bool check_momenta
) const {
assert(
std::is_sorted(
incoming.begin(), incoming.end(),
[](Particle o1, Particle o2){return o1.p.pz()<o2.p.pz();}
)
);
assert(std::is_sorted(outgoing.begin(), outgoing.end(), rapidity_less{}));
auto AWZH_boson = std::find_if(
begin(outgoing), end(outgoing),
[](Particle const & p){return is_AWZH_boson(p);}
);
if(AWZH_boson == end(outgoing)){
return tree_kin_jets(incoming, outgoing, check_momenta);
}
switch(AWZH_boson->type){
case pid::Higgs: {
return tree_kin_Higgs(incoming, outgoing, check_momenta);
}
// TODO
case pid::Wp: {
return tree_kin_W(incoming, outgoing, decays, true, check_momenta);
}
case pid::Wm: {
return tree_kin_W(incoming, outgoing, decays, false, check_momenta);
}
case pid::photon:
case pid::Z:
default:
throw std::logic_error("Emission of boson of unsupported type.");
}
}
namespace{
constexpr int extremal_jet_idx = 1;
constexpr int no_extremal_jet_idx = 0;
bool treat_as_extremal(Particle const & parton){
return parton.p.user_index() == extremal_jet_idx;
}
template<class InputIterator>
double FKL_ladder_weight(
InputIterator begin_gluon, InputIterator end_gluon,
CLHEP::HepLorentzVector const & q0,
CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & pn
){
double wt = 1;
auto qi = q0;
for(auto gluon_it = begin_gluon; gluon_it != end_gluon; ++gluon_it){
assert(gluon_it->type == pid::gluon);
const auto g = to_HepLorentzVector(*gluon_it);
const auto qip1 = qi - g;
if(treat_as_extremal(*gluon_it)){
wt *= C2Lipatovots(qip1, qi, pa, pb)*C_A;
} else{
wt *= C2Lipatovots(qip1, qi, pa, pb, p1, pn)*C_A;
}
qi = qip1;
}
return wt;
}
} // namespace anonymous
std::vector<Particle> MatrixElement::tag_extremal_jet_partons(
std::array<Particle, 2> const & incoming,
std::vector<Particle> out_partons, bool check_momenta
) const{
if(!check_momenta){
for(auto & parton: out_partons){
parton.p.set_user_index(no_extremal_jet_idx);
}
return out_partons;
}
fastjet::ClusterSequence cs(to_PseudoJet(out_partons), param_.jet_param.def);
const auto jets = sorted_by_rapidity(cs.inclusive_jets(param_.jet_param.min_pt));
assert(jets.size() >= 2);
auto most_backward = begin(jets);
auto most_forward = end(jets) - 1;
// skip jets caused by unordered emission
if(has_unob_gluon(incoming, out_partons)){
assert(jets.size() >= 3);
++most_backward;
}
else if(has_unof_gluon(incoming, out_partons)){
assert(jets.size() >= 3);
--most_forward;
}
const auto extremal_jet_indices = cs.particle_jet_indices(
{*most_backward, *most_forward}
);
assert(extremal_jet_indices.size() == out_partons.size());
for(size_t i = 0; i < out_partons.size(); ++i){
assert(RHEJ::is_parton(out_partons[i]));
const int idx = (extremal_jet_indices[i]>=0)?
extremal_jet_idx:
no_extremal_jet_idx;
out_partons[i].p.set_user_index(idx);
}
return out_partons;
}
double MatrixElement::tree_kin_jets(
std::array<Particle, 2> const & incoming,
std::vector<Particle> partons,
bool check_momenta
) const {
partons = tag_extremal_jet_partons(incoming, partons, check_momenta);
if(has_unob_gluon(incoming, partons) || has_unof_gluon(incoming, partons)){
throw std::logic_error("unordered emission not implemented for pure jets");
}
const auto pa = to_HepLorentzVector(incoming[0]);
const auto pb = to_HepLorentzVector(incoming[1]);
const auto p1 = to_HepLorentzVector(partons.front());
const auto pn = to_HepLorentzVector(partons.back());
return ME_current(
incoming[0].type, incoming[1].type,
pn, pb, p1, pa
)/(4*(N_C*N_C - 1))*FKL_ladder_weight(
begin(partons) + 1, end(partons) - 1,
pa - p1, pa, pb, p1, pn
);
}
- double MatrixElement::tree_kin_W(
- std::array<Particle, 2> const & incoming,
- std::vector<Particle> const & outgoing,
- std::unordered_map<int, std::vector<Particle>> const & decays,
- bool WPlus,
- bool check_momenta
- ) const {
- if(has_unob_gluon(incoming, outgoing)){
- throw std::logic_error("unordered emission not yet implemented for W+jets");
- //return tree_kin_W_unob(incoming, outgoing, check_momenta);
+ namespace{
+ double tree_kin_W_FKL(
+ int aptype, int bptype, HLV pa, HLV pb,
+ std::vector<Particle> const & partons,
+ HLV plbar, HLV pl, bool WPlus
+ ) {
+ auto p1 = to_HepLorentzVector(partons[0]);
+ auto pn = to_HepLorentzVector(partons[partons.size() - 1]);
+
+ auto q0 = pa - p1;
+ auto begin_ladder = begin(partons) + 1;
+ auto end_ladder = end(partons) - 1;
+
+ bool wc;
+ if (aptype==partons[0].type) { //leg b emits w
+ wc = true;}
+ else{
+ wc = false;
+ q0 -=pl + plbar;
}
- else if(has_unof_gluon(incoming, outgoing)){
- throw std::logic_error("unordered emission not yet implemented for W+jets");
- // return tree_kin_W_unof(incoming, outgoing, check_momenta);
+
+ double current_factor;
+ if (WPlus){
+ current_factor = ME_W_current(
+ aptype, bptype, pn, pb,
+ p1, pa, pl, plbar, wc
+ );
}
- else if(has_Ex_qqx(incoming, outgoing)){
- throw std::logic_error("Extremal qqx not yet implemented for W+jets");
- // return tree_kin_W_Exqqx(incoming, outgoing, check_momenta);
+ else{
+ current_factor = ME_W_current(
+ aptype, bptype, pn, pb,
+ p1, pa, plbar, pl, wc
+ );
}
- else if(has_mid_qqx(outgoing)){
- throw std::logic_error("Central qqx not yet implemented for W+jets");
- // return tree_kin_W_qqxCentral(incoming, outgoing, check_momenta);
+
+ const double ladder_factor = FKL_ladder_weight(
+ begin_ladder, end_ladder,
+ q0, pa, pb, p1, pn
+ );
+ return current_factor*C_A*C_A/(N_C*N_C-1.)*ladder_factor;
+ }
+
+ double tree_kin_W_unob(
+ int aptype, int bptype, HLV pa, HLV pb,
+ std::vector<Particle> const & partons,
+ HLV plbar, HLV pl, bool WPlus
+ ) {
+ auto pg = to_HepLorentzVector(partons[0]);
+ auto p1 = to_HepLorentzVector(partons[1]);
+ auto pn = to_HepLorentzVector(partons[partons.size() - 1]);
+
+ auto q0 = pa - p1- pg;
+ auto begin_ladder = begin(partons) + 2;
+ auto end_ladder = end(partons) - 1;
+
+ bool wc;
+ if (aptype==partons[1].type) { //leg b emits w
+ wc = true;}
+ else{
+ wc = false;
+ q0 -=pl + plbar;
+ }
+
+ double current_factor;
+ if (WPlus){
+ current_factor = ME_W_unob_current(
+ aptype, bptype, pn, pb,
+ p1, pa, pg, pl, plbar, wc
+ );
}
else{
- return tree_kin_W_FKL(incoming, outgoing, decays, WPlus, check_momenta);
+ current_factor = ME_W_unob_current(
+ aptype, bptype, pn, pb,
+ p1, pa, pg, plbar, pl, wc
+ );
}
+
+ const double ladder_factor = FKL_ladder_weight(
+ begin_ladder, end_ladder,
+ q0, pa, pb, p1, pn
+ );
+ return current_factor*C_A*C_A/(N_C*N_C-1.)*ladder_factor;
}
- double MatrixElement::tree_kin_W_FKL(
- std::array<Particle, 2> const & incoming,
- std::vector<Particle> const & outgoing,
- std::unordered_map<int, std::vector<Particle>> const & decays,
- bool WPlus,
- bool check_momenta
- ) const {
+ double tree_kin_W_unof(
+ int aptype, int bptype, HLV pa, HLV pb,
+ std::vector<Particle> const & partons,
+ HLV plbar, HLV pl, bool WPlus
+ ) {
+ auto p1 = to_HepLorentzVector(partons[0]);
+ auto pn = to_HepLorentzVector(partons[partons.size() - 2]);
+ auto pg = to_HepLorentzVector(partons[partons.size() - 1]);
- const auto the_W = std::find_if(
- begin(outgoing), end(outgoing),
- [](Particle const & s){ return abs(s.type) == pid::Wp; }
+ auto q0 = pa - p1;
+ auto begin_ladder = begin(partons) + 1;
+ auto end_ladder = end(partons) - 2;
+
+ bool wc;
+ if (aptype==partons[0].type) { //leg b emits w
+ wc = true;}
+ else{
+ wc = false;
+ q0 -=pl + plbar;
+ }
+
+ double current_factor;
+ if (WPlus){
+ current_factor = ME_W_unof_current(
+ aptype, bptype, pn, pb,
+ p1, pa, pg, pl, plbar, wc
+ );
+ }
+ else{
+ current_factor = ME_W_unof_current(
+ aptype, bptype, pn, pb,
+ p1, pa, pg, plbar, pl, wc
+ );
+ }
+
+ const double ladder_factor = FKL_ladder_weight(
+ begin_ladder, end_ladder,
+ q0, pa, pb, p1, pn
);
+ return current_factor*C_A*C_A/(N_C*N_C-1.)*ladder_factor;
+ }
- HLV plbar, pl;
+ double tree_kin_W_qqxb(
+ int aptype, int bptype, HLV pa, HLV pb,
+ std::vector<Particle> const & partons,
+ HLV plbar, HLV pl, bool WPlus
+ ) {
+ HLV pq,pqbar;
+ if(is_quark(partons[0])){
+ pq = to_HepLorentzVector(partons[0]);
+ pqbar = to_HepLorentzVector(partons[1]);
+ }
+ else{
+ pq = to_HepLorentzVector(partons[1]);
+ pqbar = to_HepLorentzVector(partons[0]);
+ }
+ auto p1 = to_HepLorentzVector(partons[0]);
+ auto pn = to_HepLorentzVector(partons[partons.size() - 1]);
- for (auto& x: decays) {
- if (x.second.at(0).type < 0){
- plbar = to_HepLorentzVector(x.second.at(0));
- pl = to_HepLorentzVector(x.second.at(1));
- }
- else{
- pl = to_HepLorentzVector(x.second.at(0));
- plbar = to_HepLorentzVector(x.second.at(1));
- }
+ auto q0 = pa - pq - pqbar;
+ auto begin_ladder = begin(partons) + 2;
+ auto end_ladder = end(partons) - 1;
+
+ bool wc;
+ if (partons[0].type==-partons[1].type) { //leg b emits w
+ wc = true;}
+ else{
+ wc = false;
+ q0 -=pl + plbar;
}
- const auto pW = to_HepLorentzVector(*the_W);
- std::vector<Particle> partons(begin(outgoing), the_W);
- partons.insert(end(partons), the_W + 1, end(outgoing));
- partons = tag_extremal_jet_partons(incoming, partons, check_momenta);
+ double current_factor;
+ if (WPlus){
+ current_factor = ME_W_qqxb_current(
+ aptype, bptype, pa, pb,
+ pq, pqbar, pn, pl, plbar, wc
+ );
+ }
+ else{
+ current_factor = ME_W_qqxb_current(
+ aptype, bptype, pa, pb,
+ pq, pqbar, pn, plbar, pl, wc
+ );
+ }
- const auto pa = to_HepLorentzVector(incoming[0]);
- const auto pb = to_HepLorentzVector(incoming[1]);
+ const double ladder_factor = FKL_ladder_weight(
+ begin_ladder, end_ladder,
+ q0, pa, pb, p1, pn
+ );
+ return current_factor*C_A*C_A/(N_C*N_C-1.)*ladder_factor;
+ }
+ double tree_kin_W_qqxf(
+ int aptype, int bptype, HLV pa, HLV pb,
+ std::vector<Particle> const & partons,
+ HLV plbar, HLV pl, bool WPlus
+ ) {
+ HLV pq,pqbar;
+ if(is_quark(partons[partons.size() - 1])){
+ pq = to_HepLorentzVector(partons[partons.size() - 1]);
+ pqbar = to_HepLorentzVector(partons[partons.size() - 2]);
+ }
+ else{
+ pq = to_HepLorentzVector(partons[partons.size() - 2]);
+ pqbar = to_HepLorentzVector(partons[partons.size() - 1]);
+ }
auto p1 = to_HepLorentzVector(partons[0]);
auto pn = to_HepLorentzVector(partons[partons.size() - 1]);
- auto first_after_W = begin(partons) + (the_W-begin(outgoing));
+ auto q0 = pa - p1;
+ auto begin_ladder = begin(partons) + 1;
+ auto end_ladder = end(partons) - 2;
+
+ bool wc;
+ if (aptype==partons[0].type) { //leg b emits w
+ wc = true;}
+ else{
+ wc = false;
+ q0 -=pl + plbar;
+ }
+
+ double current_factor;
+ if (WPlus){
+ current_factor = ME_W_qqxf_current(
+ aptype, bptype, pa, pb,
+ pq, pqbar, p1, pl, plbar, wc
+ );
+ }
+ else{
+ current_factor = ME_W_qqxf_current(
+ aptype, bptype, pa, pb,
+ pq, pqbar, p1, plbar, pl, wc
+ );
+ }
+
+ const double ladder_factor = FKL_ladder_weight(
+ begin_ladder, end_ladder,
+ q0, pa, pb, p1, pn
+ );
+ return current_factor*C_A*C_A/(N_C*N_C-1.)*ladder_factor;
+ }
- if(first_after_W == begin(partons)) ++first_after_W;
- else if(first_after_W == end(partons)) --first_after_W;
+ double tree_kin_W_qqxmid(
+ int aptype, int bptype, HLV pa, HLV pb,
+ std::vector<Particle> const & partons,
+ HLV plbar, HLV pl, bool WPlus
+ ) {
+ HLV pq,pqbar;
+ const auto backmidquark = std::find_if(
+ begin(partons)+1, end(partons)-1,
+ [](Particle const & s){ return s.type != pid::gluon; }
+ );
- // t-channel momentum before W
- auto qW = pa;
- for(auto parton_it = begin(partons); parton_it != first_after_W; ++parton_it){
- qW -= to_HepLorentzVector(*parton_it);
+ if (is_quark(backmidquark->type)){
+ pq = to_HepLorentzVector(*backmidquark);
+ pqbar = to_HepLorentzVector(*(backmidquark+1));
}
+ else {
+ pqbar = to_HepLorentzVector(*backmidquark);
+ pq = to_HepLorentzVector(*(backmidquark+1));
+ }
+
+ auto p1 = to_HepLorentzVector(partons[0]);
+ auto pn = to_HepLorentzVector(partons[partons.size() - 1]);
auto q0 = pa - p1;
+ // t-channel momentum after qqx
+ auto qqxt = q0;
+
+ bool wc, wqq;
+ if (backmidquark->type == -(backmidquark+1)->type){ // Central qqx does not emit
+ wqq=false;
+ if (aptype==partons[0].type) {
+ wc = true;
+ }
+ else{
+ wc = false;
+ q0-=pl+plbar;
+ }
+ }
+ else{
+ wqq = true;
+ wc = false;
+ qqxt-=pl+plbar;
+ }
+
auto begin_ladder = begin(partons) + 1;
auto end_ladder = end(partons) - 1;
+ auto first_after_qqx = (backmidquark+2);
+ for(auto parton_it = begin_ladder; parton_it != first_after_qqx; ++parton_it){
+ qqxt -= to_HepLorentzVector(*parton_it);
+ }
+
+ int nabove = std::distance(begin_ladder, backmidquark-1);
+ int nbelow = std::distance(first_after_qqx, end_ladder);
+
+ std::vector<HLV> partonsHLV;
+ partonsHLV.reserve(partons.size());
+ for (size_t i = 0; i != partons.size(); ++i) {
+ partonsHLV.push_back(to_HepLorentzVector(partons[i]));
+ }
double current_factor;
if (WPlus){
- current_factor = ME_W_current(
- incoming[0].type, incoming[1].type,
- pn, pb, p1, pa, pl, plbar
+ current_factor = ME_W_qqxmid_current(
+ aptype, bptype, nabove, nbelow, pa, pb,
+ pq, pqbar, partonsHLV, pl, plbar, wqq, wc
);
}
else{
- current_factor = ME_W_current(
- incoming[0].type, incoming[1].type,
- pn, pb, p1, pa, plbar, pl
+ current_factor = ME_W_qqxmid_current(
+ aptype, bptype, nabove, nbelow, pa, pb,
+ pq, pqbar, partonsHLV, plbar, pl, wqq, wc
);
-}
+ }
const double ladder_factor = FKL_ladder_weight(
- begin_ladder, first_after_W,
+ begin_ladder, backmidquark-1,
q0, pa, pb, p1, pn
)*FKL_ladder_weight(
- begin_ladder, end_ladder,
- pa - p1, pa, pb, p1, pn
- );
- return current_factor*9./8.*ladder_factor;
+ first_after_qqx, end_ladder,
+ qqxt, pa, pb, p1, pn
+ );
+ return current_factor*C_A*C_A/(N_C*N_C-1.)*ladder_factor;
+ }
}
+ double MatrixElement::tree_kin_W(
+ std::array<Particle, 2> const & incoming,
+ std::vector<Particle> const & outgoing,
+ std::unordered_map<int, std::vector<Particle>> const & decays,
+ bool WPlus,
+ bool check_momenta
+ ) const {
+ HLV plbar, pl;
+ for (auto& x: decays) {
+ if (x.second.at(0).type < 0){
+ plbar = to_HepLorentzVector(x.second.at(0));
+ pl = to_HepLorentzVector(x.second.at(1));
+ }
+ else{
+ pl = to_HepLorentzVector(x.second.at(0));
+ plbar = to_HepLorentzVector(x.second.at(1));
+ }
+ }
+ const auto pa = to_HepLorentzVector(incoming[0]);
+ const auto pb = to_HepLorentzVector(incoming[1]);
+ const auto the_W = std::find_if(
+ begin(outgoing), end(outgoing),
+ [](Particle const & s){ return abs(s.type) == pid::Wp; }
+ );
+
+ std::vector<Particle> partons(begin(outgoing), the_W);
+ partons.insert(end(partons), the_W + 1, end(outgoing));
+ partons = tag_extremal_jet_partons(incoming, partons, check_momenta);
+
+ if(has_unob_gluon(incoming, outgoing)){
+ return tree_kin_W_unob(incoming[0].type, incoming[1].type,
+ pa, pb, partons, plbar, pl, WPlus);
+ }
+ else if(has_unof_gluon(incoming, outgoing)){
+ return tree_kin_W_unof(incoming[0].type, incoming[1].type,
+ pa, pb, partons, plbar, pl, WPlus);
+ }
+ else if(has_Ex_qqxb(incoming, outgoing)){
+ return tree_kin_W_qqxb(incoming[0].type, incoming[1].type,
+ pa, pb, partons, plbar, pl, WPlus);
+ }
+ else if(has_Ex_qqxf(incoming, outgoing)){
+ return tree_kin_W_qqxf(incoming[0].type, incoming[1].type,
+ pa, pb, partons, plbar, pl, WPlus);
+ }
+ else if(has_mid_qqx(outgoing)){
+ return tree_kin_W_qqxmid(incoming[0].type, incoming[1].type,
+ pa, pb, partons, plbar, pl, WPlus);
+ }
+ return tree_kin_W_FKL(incoming[0].type, incoming[1].type,
+ pa, pb, partons, plbar, pl, WPlus);
+ }
double MatrixElement::tree_kin_Higgs(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
bool check_momenta
) const {
if(has_uno_gluon(incoming, outgoing)){
return tree_kin_Higgs_between(incoming, outgoing, check_momenta);
}
if(outgoing.front().type == pid::Higgs){
return tree_kin_Higgs_first(incoming, outgoing, check_momenta);
}
if(outgoing.back().type == pid::Higgs){
return tree_kin_Higgs_last(incoming, outgoing, check_momenta);
}
return tree_kin_Higgs_between(incoming, outgoing, check_momenta);
}
namespace {
// Colour acceleration multipliers, for gluons see eq. (7) in arXiv:0910.5113
// TODO: code duplication with currents.cc
double K_g(double p1minus, double paminus) {
return 1./2.*(p1minus/paminus + paminus/p1minus)*(C_A - 1./C_A) + 1./C_A;
}
double K_g(
CLHEP::HepLorentzVector const & pout,
CLHEP::HepLorentzVector const & pin
) {
if(pin.z() > 0) return K_g(pout.plus(), pin.plus());
return K_g(pout.minus(), pin.minus());
}
double K(
ParticleID type,
CLHEP::HepLorentzVector const & pout,
CLHEP::HepLorentzVector const & pin
) {
if(type == ParticleID::gluon) return K_g(pout, pin);
return C_F;
}
// Colour factor in strict MRK limit
double K_MRK(ParticleID type) {
return (type == ParticleID::gluon)?C_A:C_F;
}
}
double MatrixElement::MH2_forwardH(
CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
ParticleID type2,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in,
CLHEP::HepLorentzVector pH,
double t1, double t2
) const{
ignore(p2out, p2in);
const double shat = p1in.invariantMass2(p2in);
// gluon case
#ifdef RHEJ_BUILD_WITH_QCDLOOP
if(!param_.Higgs_coupling.use_impact_factors){
return K(type2, p2out, p2in)*C_A*1./(16*M_PI*M_PI)*t1/t2*MH2gq_outsideH(
p1out, p1in, p2out, p2in, pH,
param_.Higgs_coupling.mt, param_.Higgs_coupling.include_bottom,
param_.Higgs_coupling.mb
)/(4*(N_C*N_C - 1));
}
#endif
return K_MRK(type2)/C_A*9./2.*shat*shat*(
C2gHgp(p1in,p1out,pH) + C2gHgm(p1in,p1out,pH)
)/(t1*t2);
}
double MatrixElement::tree_kin_Higgs_first(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
bool check_momenta
) const {
assert(outgoing.front().type == pid::Higgs);
if(outgoing[1].type != pid::gluon) {
assert(incoming.front().type == outgoing[1].type);
return tree_kin_Higgs_between(incoming, outgoing, check_momenta);
}
const auto pH = to_HepLorentzVector(outgoing.front());
const auto partons = tag_extremal_jet_partons(
incoming,
std::vector<Particle>(begin(outgoing) + 1, end(outgoing)),
check_momenta
);
const auto pa = to_HepLorentzVector(incoming[0]);
const auto pb = to_HepLorentzVector(incoming[1]);
const auto p1 = to_HepLorentzVector(partons.front());
const auto pn = to_HepLorentzVector(partons.back());
const auto q0 = pa - p1 - pH;
const double t1 = q0.m2();
const double t2 = (pn - pb).m2();
return MH2_forwardH(
p1, pa, incoming[1].type, pn, pb, pH,
t1, t2
)*FKL_ladder_weight(
begin(partons) + 1, end(partons) - 1,
q0, pa, pb, p1, pn
);
}
double MatrixElement::tree_kin_Higgs_last(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
bool check_momenta
) const {
assert(outgoing.back().type == pid::Higgs);
if(outgoing[outgoing.size()-2].type != pid::gluon) {
assert(incoming.back().type == outgoing[outgoing.size()-2].type);
return tree_kin_Higgs_between(incoming, outgoing, check_momenta);
}
const auto pH = to_HepLorentzVector(outgoing.back());
const auto partons = tag_extremal_jet_partons(
incoming,
std::vector<Particle>(begin(outgoing), end(outgoing) - 1),
check_momenta
);
const auto pa = to_HepLorentzVector(incoming[0]);
const auto pb = to_HepLorentzVector(incoming[1]);
auto p1 = to_HepLorentzVector(partons.front());
const auto pn = to_HepLorentzVector(partons.back());
auto q0 = pa - p1;
const double t1 = q0.m2();
const double t2 = (pn + pH - pb).m2();
return MH2_forwardH(
pn, pb, incoming[0].type, p1, pa, pH,
t2, t1
)*FKL_ladder_weight(
begin(partons) + 1, end(partons) - 1,
q0, pa, pb, p1, pn
);
}
double MatrixElement::tree_kin_Higgs_between(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
bool check_momenta
) const {
const auto the_Higgs = std::find_if(
begin(outgoing), end(outgoing),
[](Particle const & s){ return s.type == pid::Higgs; }
);
assert(the_Higgs != end(outgoing));
const auto pH = to_HepLorentzVector(*the_Higgs);
std::vector<Particle> partons(begin(outgoing), the_Higgs);
partons.insert(end(partons), the_Higgs + 1, end(outgoing));
partons = tag_extremal_jet_partons(incoming, partons, check_momenta);
const auto pa = to_HepLorentzVector(incoming[0]);
const auto pb = to_HepLorentzVector(incoming[1]);
auto p1 = to_HepLorentzVector(
partons[has_unob_gluon(incoming, outgoing)?1:0]
);
auto pn = to_HepLorentzVector(
partons[partons.size() - (has_unof_gluon(incoming, outgoing)?2:1)]
);
auto first_after_Higgs = begin(partons) + (the_Higgs-begin(outgoing));
assert(
(first_after_Higgs == end(partons) && (
has_unob_gluon(incoming, outgoing)
|| partons.back().type != pid::gluon
))
|| first_after_Higgs->rapidity() >= the_Higgs->rapidity()
);
assert(
(first_after_Higgs == begin(partons) && (
has_unof_gluon(incoming, outgoing)
|| partons.front().type != pid::gluon
))
|| (first_after_Higgs-1)->rapidity() <= the_Higgs->rapidity()
);
// always treat the Higgs as if it were in between the extremal FKL partons
if(first_after_Higgs == begin(partons)) ++first_after_Higgs;
else if(first_after_Higgs == end(partons)) --first_after_Higgs;
// t-channel momentum before Higgs
auto qH = pa;
for(auto parton_it = begin(partons); parton_it != first_after_Higgs; ++parton_it){
qH -= to_HepLorentzVector(*parton_it);
}
auto q0 = pa - p1;
auto begin_ladder = begin(partons) + 1;
auto end_ladder = end(partons) - 1;
double current_factor;
if(has_unob_gluon(incoming, outgoing)){
current_factor = C_A*C_A/2.*ME_Higgs_current_unob( // 1/2 = "K_uno"
incoming[0].type, incoming[1].type,
pn, pb, to_HepLorentzVector(partons.front()), p1, pa, qH, qH - pH,
param_.Higgs_coupling.mt,
param_.Higgs_coupling.include_bottom, param_.Higgs_coupling.mb
);
const auto p_unob = to_HepLorentzVector(partons.front());
q0 -= p_unob;
p1 += p_unob;
++begin_ladder;
}
else if(has_unof_gluon(incoming, outgoing)){
current_factor = C_A*C_A/2.*ME_Higgs_current_unof( // 1/2 = "K_uno"
incoming[0].type, incoming[1].type,
to_HepLorentzVector(partons.back()), pn, pb, p1, pa, qH, qH - pH,
param_.Higgs_coupling.mt,
param_.Higgs_coupling.include_bottom, param_.Higgs_coupling.mb
);
pn += to_HepLorentzVector(partons.back());
--end_ladder;
}
else{
current_factor = ME_Higgs_current(
incoming[0].type, incoming[1].type,
pn, pb, p1, pa, qH, qH - pH,
param_.Higgs_coupling.mt,
param_.Higgs_coupling.include_bottom, param_.Higgs_coupling.mb
);
}
const double ladder_factor = FKL_ladder_weight(
begin_ladder, first_after_Higgs,
q0, pa, pb, p1, pn
)*FKL_ladder_weight(
first_after_Higgs, end_ladder,
qH - pH, pa, pb, p1, pn
);
return current_factor*C_A*C_A/(N_C*N_C-1.)*ladder_factor;
}
double MatrixElement::tree_param_partons(
double alpha_s, double mur,
std::vector<Particle> const & partons
) const{
const double gs2 = 4.*M_PI*alpha_s;
double wt = std::pow(gs2, partons.size());
if(param_.log_correction){
// use alpha_s(q_perp), evolved to mur
assert(partons.size() >= 2);
for(size_t i = 1; i < partons.size()-1; ++i){
wt *= 1 + alpha_s/(2*M_PI)*beta0*log(mur/partons[i].p.perp());
}
}
return wt;
}
double MatrixElement::tree_param(
double mur,
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing
) const{
const double alpha_s = alpha_s_(mur);
auto AWZH_boson = std::find_if(
begin(outgoing), end(outgoing),
[](auto const & p){return is_AWZH_boson(p);}
);
double AWZH_coupling = 1.;
if(AWZH_boson != end(outgoing)){
switch(AWZH_boson->type){
case pid::Higgs: {
AWZH_coupling = alpha_s*alpha_s;
break;
}
// TODO
case pid::Wp:{
AWZH_coupling = alpha_w*alpha_w/2;
break;
}
case pid::Wm:{
AWZH_coupling = alpha_w*alpha_w/2;
break;
}
case pid::photon:
case pid::Z:
default:
throw std::logic_error("Emission of boson of unsupported type");
}
}
if(has_unob_gluon(incoming, outgoing)){
return AWZH_coupling*4*M_PI*alpha_s*tree_param_partons(
alpha_s, mur, filter_partons({begin(outgoing) + 1, end(outgoing)})
);
}
if(has_unof_gluon(incoming, outgoing)){
return AWZH_coupling*4*M_PI*alpha_s*tree_param_partons(
alpha_s, mur, filter_partons({begin(outgoing), end(outgoing) - 1})
);
}
return AWZH_coupling*tree_param_partons(alpha_s, mur, filter_partons(outgoing));
}
double MatrixElement::tree(
double mur,
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing,
std::unordered_map<int, std::vector<Particle>> const & decays,
bool check_momenta
) const {
return tree_param(mur, incoming, outgoing)*tree_kin(
incoming, outgoing, decays, check_momenta
);
}
} // namespace RHEJ
diff --git a/src/Wjets.cc b/src/Wjets.cc
index 7e02575..9f3effe 100644
--- a/src/Wjets.cc
+++ b/src/Wjets.cc
@@ -1,1769 +1,1868 @@
#include "RHEJ/currents.hh"
#include "RHEJ/utility.hh"
#include "RHEJ/Tensor.hh"
#include "RHEJ/Constants.hh"
#include <array>
#include <iostream>
namespace { // Helper Functions
// FKL W Helper Functions
- void jW (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pe,
- bool hele, CLHEP::HepLorentzVector pnu, bool helnu, CLHEP::HepLorentzVector pin,
- bool helin, current cur)
- {
- // NOTA BENE: Conventions for W+ --> e+ nu, so that nu is lepton(6), e is anti-lepton(5)
- // Need to swap e and nu for events with W- --> e- nubar!
- if (helin==helout && hele==helnu) {
- CLHEP::HepLorentzVector qa=pout+pe+pnu;
- CLHEP::HepLorentzVector qb=pin-pe-pnu;
- double ta(qa.m2()),tb(qb.m2());
-
- current t65,vout,vin,temp2,temp3,temp5;
- joo(pnu,helnu,pe,hele,t65);
- vout[0]=pout.e();
- vout[1]=pout.x();
- vout[2]=pout.y();
- vout[3]=pout.z();
- vin[0]=pin.e();
- vin[1]=pin.x();
- vin[2]=pin.y();
- vin[3]=pin.z();
-
- COM brac615=cdot(t65,vout);
- COM brac645=cdot(t65,vin);
-
- // prod1565 and prod6465 are zero for Ws (not Zs)!!
- joo(pout,helout,pnu,helout,temp2);
- COM prod1665=cdot(temp2,t65);
- j(pe,helin,pin,helin,temp3);
- COM prod5465=cdot(temp3,t65);
-
- joo(pout,helout,pe,helout,temp2);
- j(pnu,helnu,pin,helin,temp3);
- j(pout,helout,pin,helin,temp5);
-
- current term1,term2,term3,sum;
- cmult(2.*brac615/ta+2.*brac645/tb,temp5,term1);
- cmult(prod1665/ta,temp3,term2);
- cmult(-prod5465/tb,temp2,term3);
-
- cadd(term1,term2,term3,sum);
-
- cur[0]=sum[0];
- cur[1]=sum[1];
- cur[2]=sum[2];
- cur[3]=sum[3];
- }
- }
-
- void jWbar (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pe, bool hele, CLHEP::HepLorentzVector pnu, bool helnu, CLHEP::HepLorentzVector pin, bool helin, current cur)
- {
- // NOTA BENE: Conventions for W+ --> e+ nu, so that nu is lepton(6), e is anti-lepton(5)
- // Need to swap e and nu for events with W- --> e- nubar!
- if (helin==helout && hele==helnu) {
- CLHEP::HepLorentzVector qa=pout+pe+pnu;
- CLHEP::HepLorentzVector qb=pin-pe-pnu;
- double ta(qa.m2()),tb(qb.m2());
-
- current t65,vout,vin,temp2,temp3,temp5;
- joo(pnu,helnu,pe,hele,t65);
- vout[0]=pout.e();
- vout[1]=pout.x();
- vout[2]=pout.y();
- vout[3]=pout.z();
- vin[0]=pin.e();
- vin[1]=pin.x();
- vin[2]=pin.y();
- vin[3]=pin.z();
-
- COM brac615=cdot(t65,vout);
- COM brac645=cdot(t65,vin);
-
- // prod1565 and prod6465 are zero for Ws (not Zs)!!
- joo(pe,helout,pout,helout,temp2); // temp2 is <5|alpha|1>
- COM prod5165=cdot(temp2,t65);
- jio(pin,helin,pnu,helin,temp3); // temp3 is <4|alpha|6>
- COM prod4665=cdot(temp3,t65);
-
- joo(pnu,helout,pout,helout,temp2); // temp2 is now <6|mu|1>
- jio(pin,helin,pe,helin,temp3); // temp3 is now <4|mu|5>
- jio(pin,helin,pout,helout,temp5); // temp5 is <4|mu|1>
-
- current term1,term2,term3,sum;
- cmult(-2.*brac615/ta-2.*brac645/tb,temp5,term1);
- cmult(-prod5165/ta,temp3,term2);
- cmult(prod4665/tb,temp2,term3);
-
- cadd(term1,term2,term3,sum);
-
- cur[0]=sum[0];
- cur[1]=sum[1];
- cur[2]=sum[2];
- cur[3]=sum[3];
- }
- }
-
CCurrent jW (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pe, bool hele, CLHEP::HepLorentzVector pnu, bool helnu, CLHEP::HepLorentzVector pin, bool helin)
{
COM cur[4];
cur[0]=0.;
cur[1]=0.;
cur[2]=0.;
cur[3]=0.;
CCurrent sum(0.,0.,0.,0.);
// NOTA BENE: Conventions for W+ --> e+ nu, so that nu is lepton(6), e is anti-lepton(5)
// Need to swap e and nu for events with W- --> e- nubar!
if (helin==helout && hele==helnu) {
CLHEP::HepLorentzVector qa=pout+pe+pnu;
CLHEP::HepLorentzVector qb=pin-pe-pnu;
double ta(qa.m2()),tb(qb.m2());
CCurrent temp2,temp3,temp5;
CCurrent t65 = joo(pnu,helnu,pe,hele);
CCurrent vout(pout.e(),pout.x(),pout.y(),pout.z());
CCurrent vin(pin.e(),pin.x(),pin.y(),pin.z());
COM brac615=t65.dot(vout);
COM brac645=t65.dot(vin);
// prod1565 and prod6465 are zero for Ws (not Zs)!!
temp2 = joo(pout,helout,pnu,helout);
COM prod1665=temp2.dot(t65);
temp3 = j(pe,helin,pin,helin);
COM prod5465=temp3.dot(t65);
temp2=joo(pout,helout,pe,helout);
temp3=j(pnu,helnu,pin,helin);
temp5=j(pout,helout,pin,helin);
CCurrent term1,term2,term3;
term1=(2.*brac615/ta+2.*brac645/tb)*temp5;
term2=(prod1665/ta)*temp3;
term3=(-prod5465/tb)*temp2;
sum=term1+term2+term3;
}
return sum;
}
CCurrent jWbar (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pe, bool hele, CLHEP::HepLorentzVector pnu, bool helnu, CLHEP::HepLorentzVector pin, bool helin)
{
COM cur[4];
cur[0]=0.;
cur[1]=0.;
cur[2]=0.;
cur[3]=0.;
CCurrent sum(0.,0.,0.,0.);
// NOTA BENE: Conventions for W+ --> e+ nu, so that nu is lepton(6), e is anti-lepton(5)
// Need to swap e and nu for events with W- --> e- nubar!
if (helin==helout && hele==helnu) {
CLHEP::HepLorentzVector qa=pout+pe+pnu;
CLHEP::HepLorentzVector qb=pin-pe-pnu;
double ta(qa.m2()),tb(qb.m2());
CCurrent temp2,temp3,temp5;
CCurrent t65 = joo(pnu,helnu,pe,hele);
CCurrent vout(pout.e(),pout.x(),pout.y(),pout.z());
CCurrent vin(pin.e(),pin.x(),pin.y(),pin.z());
COM brac615=t65.dot(vout);
COM brac645=t65.dot(vin);
// prod1565 and prod6465 are zero for Ws (not Zs)!!
temp2 = joo(pe,helout,pout,helout); // temp2 is <5|alpha|1>
COM prod5165=temp2.dot(t65);
temp3 = jio(pin,helin,pnu,helin); // temp3 is <4|alpha|6>
COM prod4665=temp3.dot(t65);
temp2=joo(pnu,helout,pout,helout); // temp2 is now <6|mu|1>
temp3=jio(pin,helin,pe,helin); // temp3 is now <4|mu|5>
temp5=jio(pin,helin,pout,helout); // temp5 is <4|mu|1>
CCurrent term1,term2,term3;
term1 =(-2.*brac615/ta-2.*brac645/tb)*temp5;
term2 =(-prod5165/ta)*temp3;
term3 =(prod4665/tb)*temp2;
sum = term1 + term2 + term3;
}
return sum;
}
// Relevant W+Jets Unordered Contribution Helper Functions
// W+Jets Uno
double jM2Wuno(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1,CLHEP::HepLorentzVector plbar, CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector pa, bool h1, CLHEP::HepLorentzVector p2, CLHEP::HepLorentzVector pb, bool h2, bool pol)
{
static bool is_sigma_index_set(false);
if(!is_sigma_index_set){
//std::cout<<"Setting sigma_index...." << std::endl;
if(init_sigma_index())
is_sigma_index_set = true;
else
return 0.;
}
CLHEP::HepLorentzVector pW = pl+plbar;
CLHEP::HepLorentzVector q1g=pa-pW-p1-pg;
CLHEP::HepLorentzVector q1 = pa-p1-pW;
CLHEP::HepLorentzVector q2 = p2-pb;
const double taW = (pa-pW).m2();
const double taW1 = (pa-pW-p1).m2();
const double tb2 = (pb-p2).m2();
const double tb2g = (pb-p2-pg).m2();
const double s1W = (p1+pW).m2();
const double s1gW = (p1+pW+pg).m2();
const double s1g = (p1+pg).m2();
const double tag = (pa-pg).m2();
const double taWg = (pa-pW-pg).m2();
- const double ca = RHEJ::C_A;
- const double cf = RHEJ::C_F; ///<TODO directly use RHEJ constants
//use p1 as ref vec in pol tensor
Tensor<1,4> epsg = eps(pg,p2,pol);
Tensor<1,4> epsW = TCurrent(pl,false,plbar,false);
Tensor<1,4> j2b = TCurrent(p2,h2,pb,h2);
Tensor<1,4> Tq1q2 = Construct1Tensor((q1+q2)/taW1 + (pb/pb.dot(pg)
+ p2/p2.dot(pg)) * tb2/(2*tb2g));
Tensor<1,4> Tq1g = Construct1Tensor((-pg-q1))/taW1;
Tensor<1,4> Tq2g = Construct1Tensor((pg-q2));
Tensor<1,4> TqaW = Construct1Tensor((pa-pW));//pa-pw
Tensor<1,4> Tqag = Construct1Tensor((pa-pg));
Tensor<1,4> TqaWg = Construct1Tensor((pa-pg-pW));
Tensor<1,4> Tp1g = Construct1Tensor((p1+pg));
Tensor<1,4> Tp1W = Construct1Tensor((p1+pW));//p1+pw
Tensor<1,4> Tp1gW = Construct1Tensor((p1+pg+pW));//p1+pw+pg
Tensor<2,4> g=Metric();
Tensor<3,4> J31a = T3Current(p1, h1, pa, h1);
Tensor<2,4> J2_qaW =J31a.contract(TqaW/taW, 2);
Tensor<2,4> J2_p1W =J31a.contract(Tp1W/s1W, 2);
Tensor<3,4> L1a =J2_qaW.leftprod(Tq1q2);
Tensor<3,4> L1b =J2_p1W.leftprod(Tq1q2);
Tensor<3,4> L2a = J2_qaW.leftprod(Tq1g);
Tensor<3,4> L2b = J2_p1W.leftprod(Tq1g);
Tensor<3,4> L3 = (g.rightprod(J2_qaW.contract(Tq2g,1)+J2_p1W.contract(Tq2g,2)))/taW1;
Tensor<3,4> L(0.);
Tensor<5,4> J51a = T5Current(p1, h1, pa, h1);
Tensor<4,4> J_qaW = J51a.contract(TqaW,4);
Tensor<4,4> J_qag = J51a.contract(Tqag,4);
Tensor<4,4> J_p1gW = J51a.contract(Tp1gW,4);
Tensor<3,4> U1a = J_qaW.contract(Tp1g,2);
Tensor<3,4> U1b = J_p1gW.contract(Tp1g,2);
Tensor<3,4> U1c = J_p1gW.contract(Tp1W,2);
Tensor<3,4> U1(0.);
Tensor<3,4> U2a = J_qaW.contract(TqaWg,2);
Tensor<3,4> U2b = J_qag.contract(TqaWg,2);
Tensor<3,4> U2c = J_qag.contract(Tp1W,2);
Tensor<3,4> U2(0.);
for(int nu=0; nu<4;nu++){
for(int mu=0;mu<4;mu++){
for(int rho=0;rho<4;rho++){
L.Set(nu, mu, rho, L1a.at(nu,mu,rho) + L1b.at(nu,rho,mu)
+ L2a.at(mu,nu,rho) + L2b.at(mu,rho,nu) + L3.at(mu,nu,rho));
U1.Set(nu, mu, rho, U1a.at(nu, mu, rho) / (s1g*taW)
+ U1b.at(nu,rho,mu) / (s1g*s1gW) + U1c.at(rho,nu,mu) / (s1W*s1gW));
U2.Set(nu,mu,rho,U2a.at(mu,nu,rho) / (taWg*taW)
+ U2b.at(mu,rho,nu) / (taWg*tag) + U2c.at(rho,mu,nu) / (s1W*tag));
}
}
}
COM X = ((((U1-L).contract(epsW,3)).contract(j2b,2)).contract(epsg,1)).at(0);
COM Y = ((((U2+L).contract(epsW,3)).contract(j2b,2)).contract(epsg,1)).at(0);
- double amp = ca*cf*cf/2.*(norm(X)+norm(Y)) - cf/2.*(X*conj(Y)).real();
+ double amp = RHEJ::C_A*RHEJ::C_F*RHEJ::C_F/2.*(norm(X)+norm(Y)) - RHEJ::C_F/2.*(X*conj(Y)).real();
double t1 = q1g.m2();
double t2 = q2.m2();
//Divide by t-channels
amp/=(t1*t2);
//Average over initial states
- amp/=(4.*ca*ca);
+ amp/=(4.*RHEJ::C_A*RHEJ::C_A);
return amp;
}
// Relevant Wqqx Helper Functions.
//g->qxqlxl (Calculates gluon to qqx Current. See JV_\mu in WSubleading Notes)
Tensor <1,4> gtqqxW(CLHEP::HepLorentzVector pq,CLHEP::HepLorentzVector pqbar,CLHEP::HepLorentzVector pl,CLHEP::HepLorentzVector plbar){
double s2AB=(pl+plbar+pq).m2();
double s3AB=(pl+plbar+pqbar).m2();
Tensor<1,4> Tpq = Construct1Tensor(pq);
Tensor<1,4> Tpqbar = Construct1Tensor(pqbar);
Tensor<1,4> TAB = Construct1Tensor(pl+plbar);
// Define llx current.
Tensor<1,4> ABCur = TCurrent(pl, false, plbar, false);
//blank 3 Gamma Current
Tensor<3,4> JV23 = T3Current(pq,false,pqbar,false);
// Components of g->qqW before W Contraction
Tensor<2,4> JV1 = JV23.contract((Tpq + TAB),2)/(s2AB);
Tensor<2,4> JV2 = JV23.contract((Tpqbar + TAB),2)/(s3AB);
// g->qqW Current. Note Minus between terms due to momentum flow.
// Also note: (-I)^2 from W vert. (I) from Quark prop.
Tensor<1,4> JVCur = (JV1.contract(ABCur,1) - JV2.contract(ABCur,2))*COM(0.,-1.);
return JVCur;
}
// Helper Functions Calculate the Crossed Contribution
Tensor <2,4> MCrossW(CLHEP::HepLorentzVector pa,CLHEP::HepLorentzVector p1,CLHEP::HepLorentzVector pb,CLHEP::HepLorentzVector p4, CLHEP::HepLorentzVector pq,CLHEP::HepLorentzVector pqbar,CLHEP::HepLorentzVector pl,CLHEP::HepLorentzVector plbar, std::vector<HLV> partons, int nabove){
// Useful propagator factors
double s2AB=(pl+plbar+pq).m2();
double s3AB=(pl+plbar+pqbar).m2();
CLHEP::HepLorentzVector q1, q3;
q1=pa;
for(int i=0; i<nabove+1;i++){
q1=q1-partons.at(i);
}
q3 = q1 - pq - pqbar - pl - plbar;
double tcro1=(q3+pq).m2();
double tcro2=(q1-pqbar).m2();
Tensor<1,4> Tp1 = Construct1Tensor(p1);
Tensor<1,4> Tp4 = Construct1Tensor(p4);
Tensor<1,4> Tpa = Construct1Tensor(pa);
Tensor<1,4> Tpb = Construct1Tensor(pb);
Tensor<1,4> Tpq = Construct1Tensor(pq);
Tensor<1,4> Tpqbar = Construct1Tensor(pqbar);
Tensor<1,4> TAB = Construct1Tensor(pl+plbar);
Tensor<1,4> Tq1 = Construct1Tensor(q1);
Tensor<1,4> Tq3 = Construct1Tensor(q3);
Tensor<2,4> g=Metric();
// Define llx current.
Tensor<1,4> ABCur = TCurrent(pl, false, plbar,false);
//Blank 5 gamma Current
Tensor<5,4> J523 = T5Current(pq,false,pqbar,false);
// 4 gamma currents (with 1 contraction already).
Tensor<4,4> J_q3q = J523.contract((Tq3+Tpq),2);
Tensor<4,4> J_2AB = J523.contract((Tpq+TAB),2);
// Components of Crossed Vertex Contribution
Tensor<3,4> Xcro1 = J_q3q.contract((Tpqbar + TAB),3);
Tensor<3,4> Xcro2 = J_q3q.contract((Tq1-Tpqbar),3);
Tensor<3,4> Xcro3 = J_2AB.contract((Tq1-Tpqbar),3);
// Term Denominators Taken Care of at this stage
Tensor<2,4> Xcro1Cont = Xcro1.contract(ABCur,3)/(tcro1*s3AB);
Tensor<2,4> Xcro2Cont = Xcro2.contract(ABCur,2)/(tcro1*tcro2);
Tensor<2,4> Xcro3Cont = Xcro3.contract(ABCur,1)/(s2AB*tcro2);
//Initialise the Crossed Vertex Object
Tensor<2,4> Xcro(0.);
for(int mu=0; mu<4;mu++){
for(int nu=0;nu<4;nu++){
Xcro.Set(mu,nu, -(-Xcro1Cont.at(nu,mu)+Xcro2Cont.at(nu,mu)+Xcro3Cont.at(nu,mu)));
}
}
return Xcro;
}
// Helper Functions Calculate the Uncrossed Contribution
Tensor <2,4> MUncrossW(CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector pb, CLHEP::HepLorentzVector p4, CLHEP::HepLorentzVector pq,CLHEP::HepLorentzVector pqbar,CLHEP::HepLorentzVector pl,CLHEP::HepLorentzVector plbar, std::vector<HLV> partons, int nabove){
double s2AB=(pl+plbar+pq).m2();
double s3AB=(pl+plbar+pqbar).m2();
CLHEP::HepLorentzVector q1, q3;
q1=pa;
for(int i=0; i<nabove+1;i++){
q1=q1-partons.at(i);
}
q3 = q1 - pl - plbar - pq - pqbar;
double tunc1 = (q1-pq).m2();
double tunc2 = (q3+pqbar).m2();
Tensor<1,4> Tp1 = Construct1Tensor(p1);
Tensor<1,4> Tp4 = Construct1Tensor(p4);
Tensor<1,4> Tpa = Construct1Tensor(pa);
Tensor<1,4> Tpb = Construct1Tensor(pb);
Tensor<1,4> Tpq = Construct1Tensor(pq);
Tensor<1,4> Tpqbar = Construct1Tensor(pqbar);
Tensor<1,4> TAB = Construct1Tensor(pl+plbar);
Tensor<1,4> Tq1 = Construct1Tensor(q1);
Tensor<1,4> Tq3 = Construct1Tensor(q3);
Tensor<2,4> g=Metric();
// Define llx current.
Tensor<1,4> ABCur = TCurrent(pl, false, plbar, false);
//Blank 5 gamma Current
Tensor<5,4> J523 = T5Current(pq,false,pqbar,false);
// 4 gamma currents (with 1 contraction already).
Tensor<4,4> J_2AB = J523.contract((Tpq+TAB),2);
Tensor<4,4> J_q1q = J523.contract((Tq1-Tpq),2);
// 2 Contractions taken care of.
Tensor<3,4> Xunc1 = J_2AB.contract((Tq3+Tpqbar),3);
Tensor<3,4> Xunc2 = J_q1q.contract((Tq3+Tpqbar),3);
Tensor<3,4> Xunc3 = J_q1q.contract((Tpqbar+TAB),3);
// Term Denominators Taken Care of at this stage
Tensor<2,4> Xunc1Cont = Xunc1.contract(ABCur,1)/(s2AB*tunc2);
Tensor<2,4> Xunc2Cont = Xunc2.contract(ABCur,2)/(tunc1*tunc2);
Tensor<2,4> Xunc3Cont = Xunc3.contract(ABCur,3)/(tunc1*s3AB);
//Initialise the Uncrossed Vertex Object
Tensor<2,4> Xunc(0.);
for(int mu=0; mu<4;mu++){
for(int nu=0;nu<4;nu++){
Xunc.Set(mu,nu,-(- Xunc1Cont.at(mu,nu)+Xunc2Cont.at(mu,nu) +Xunc3Cont.at(mu,nu)));
}
}
return Xunc;
}
// Helper Functions Calculate the g->qqxW (Eikonal) Contributions
Tensor <2,4> MSymW(CLHEP::HepLorentzVector pa,CLHEP::HepLorentzVector p1,CLHEP::HepLorentzVector pb,CLHEP::HepLorentzVector p4, CLHEP::HepLorentzVector pq,CLHEP::HepLorentzVector pqbar,CLHEP::HepLorentzVector pl,CLHEP::HepLorentzVector plbar, std::vector<HLV> partons, int nabove){
double sa2=(pa+pq).m2();
double s12=(p1+pq).m2();
double sa3=(pa+pqbar).m2();
double s13=(p1+pqbar).m2();
double saA=(pa+pl).m2();
double s1A=(p1+pl).m2();
double saB=(pa+plbar).m2();
double s1B=(p1+plbar).m2();
double sb2=(pb+pq).m2();
double s42=(p4+pq).m2();
double sb3=(pb+pqbar).m2();
double s43=(p4+pqbar).m2();
double sbA=(pb+pl).m2();
double s4A=(p4+pl).m2();
double sbB=(pb+plbar).m2();
double s4B=(p4+plbar).m2();
double s23AB=(pl+plbar+pq+pqbar).m2();
CLHEP::HepLorentzVector q1,q3;
q1=pa;
for(int i=0;i<nabove+1;i++){
q1-=partons.at(i);
}
q3=q1-pq-pqbar-plbar-pl;
double t1 = (q1).m2();
double t3 = (q3).m2();
//Define Tensors to be used
Tensor<1,4> Tp1 = Construct1Tensor(p1);
Tensor<1,4> Tp4 = Construct1Tensor(p4);
Tensor<1,4> Tpa = Construct1Tensor(pa);
Tensor<1,4> Tpb = Construct1Tensor(pb);
Tensor<1,4> Tpq = Construct1Tensor(pq);
Tensor<1,4> Tpqbar = Construct1Tensor(pqbar);
Tensor<1,4> TAB = Construct1Tensor(pl+plbar);
Tensor<1,4> Tq1 = Construct1Tensor(q1);
Tensor<1,4> Tq3 = Construct1Tensor(q3);
Tensor<2,4> g=Metric();
// g->qqW Current (Factors of sqrt2 dealt with in this function.)
Tensor<1,4> JV = gtqqxW(pq,pqbar,pl,plbar);
// 1a gluon emisson Contribution
Tensor<3,4> X1a = g.rightprod(Tp1*(t1/(s12+s13+s1A+s1B)) + Tpa*(t1/(sa2+sa3+saA+saB)));
Tensor<2,4> X1aCont = X1a.contract(JV,3);
//4b gluon emission Contribution
Tensor<3,4> X4b = g.rightprod(Tp4*(t3/(s42+s43+s4A+s4B)) + Tpb*(t3/(sb2+sb3+sbA+sbB)));
Tensor<2,4> X4bCont = X4b.contract(JV,3);
//Set up each term of 3G diagram.
Tensor<3,4> X3g1 = g.leftprod(Tq1+Tpq+Tpqbar+TAB);
Tensor<3,4> X3g2 = g.leftprod(Tq3-Tpq-Tpqbar-TAB);
Tensor<3,4> X3g3 = g.leftprod((Tq1+Tq3));
// Note the contraction of indices changes term by term
Tensor<2,4> X3g1Cont = X3g1.contract(JV,3);
Tensor<2,4> X3g2Cont = X3g2.contract(JV,2);
Tensor<2,4> X3g3Cont = X3g3.contract(JV,1);
// XSym is an amalgamation of x1a, X4b and X3g. Makes sense from a colour factor point of view.
Tensor<2,4>Xsym(0.);
for(int mu=0; mu<4;mu++){
for(int nu=0;nu<4;nu++){
Xsym.Set(mu,nu, (X3g1Cont.at(nu,mu) + X3g2Cont.at(mu,nu) - X3g3Cont.at(nu,mu))
+ (X1aCont.at(mu,nu) - X4bCont.at(mu,nu)) );
}
}
return Xsym/s23AB;
}
Tensor <2,4> MCross(CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector pq,CLHEP::HepLorentzVector pqbar, std::vector<HLV> partons, bool hq, int nabove){
CLHEP::HepLorentzVector q1;
q1=pa;
for(int i=0;i<nabove+1;i++){
q1-=partons.at(i);
}
double t2=(q1-pqbar).m2();
Tensor<1,4> Tq1 = Construct1Tensor(q1-pqbar);
//Blank 3 gamma Current
Tensor<3,4> J323 = T3Current(pq,hq,pqbar,hq);
// 2 gamma current (with 1 contraction already).
Tensor<2,4> XCroCont = J323.contract((Tq1),2)/(t2);
//Initialise the Crossed Vertex
Tensor<2,4> Xcro(0.);
for(int mu=0; mu<4;mu++){
for(int nu=0;nu<4;nu++){
Xcro.Set(mu,nu, (XCroCont.at(nu,mu)));
}
}
return Xcro;
}
// Helper Functions Calculate the Uncrossed Contribution
Tensor <2,4> MUncross(CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector pq,CLHEP::HepLorentzVector pqbar, std::vector<HLV> partons, bool hq, int nabove){
CLHEP::HepLorentzVector q1;
q1=pa;
for(int i=0;i<nabove+1;i++){
q1-=partons.at(i);
}
double t2 = (q1-pq).m2();
Tensor<1,4> Tq1 = Construct1Tensor(q1-pq);
//Blank 3 gamma Current
Tensor<3,4> J323 = T3Current(pq,hq,pqbar,hq);
// 2 gamma currents (with 1 contraction already).
Tensor<2,4> XUncCont = J323.contract((Tq1),2)/t2;
//Initialise the Uncrossed Vertex
Tensor<2,4> Xunc(0.);
for(int mu=0; mu<4;mu++){
for(int nu=0;nu<4;nu++){
Xunc.Set(mu,nu,-(XUncCont.at(mu,nu)));
}
}
return Xunc;
}
// Helper Functions Calculate the Eikonal Contributions
Tensor <2,4> MSym(CLHEP::HepLorentzVector pa,CLHEP::HepLorentzVector p1,CLHEP::HepLorentzVector pb,CLHEP::HepLorentzVector p4, CLHEP::HepLorentzVector pq,CLHEP::HepLorentzVector pqbar, std::vector<HLV> partons, bool hq, int nabove){
CLHEP::HepLorentzVector q1, q3;
q1=pa;
for(int i=0;i<nabove+1;i++){
q1-=partons.at(i);
}
q3 = q1-pq-pqbar;
double t1 = (q1).m2();
double t3 = (q3).m2();
double s23 = (pq+pqbar).m2();
double sa2 = (pa+pq).m2();
double sa3 = (pa+pqbar).m2();
double s12 = (p1+pq).m2();
double s13 = (p1+pqbar).m2();
double sb2 = (pb+pq).m2();
double sb3 = (pb+pqbar).m2();
double s42 = (p4+pq).m2();
double s43 = (p4+pqbar).m2();
//Define Tensors to be used
Tensor<1,4> Tp1 = Construct1Tensor(p1);
Tensor<1,4> Tp4 = Construct1Tensor(p4);
Tensor<1,4> Tpa = Construct1Tensor(pa);
Tensor<1,4> Tpb = Construct1Tensor(pb);
Tensor<1,4> Tpq = Construct1Tensor(pq);
Tensor<1,4> Tpqbar = Construct1Tensor(pqbar);
Tensor<1,4> Tq1 = Construct1Tensor(q1);
Tensor<1,4> Tq3 = Construct1Tensor(q3);
Tensor<2,4> g=Metric();
Tensor<1,4> qqxCur = TCurrent(pq, hq, pqbar, hq);
// // 1a gluon emisson Contribution
Tensor<3,4> X1a = g.rightprod(Tp1*(t1/(s12+s13))+Tpa*(t1/(sa2+sa3)));
Tensor<2,4> X1aCont = X1a.contract(qqxCur,3);
// //4b gluon emission Contribution
Tensor<3,4> X4b = g.rightprod(Tp4*(t3/(s42+s43)) + Tpb*(t3/(sb2+sb3)));
Tensor<2,4> X4bCont = X4b.contract(qqxCur,3);
// New Formulation Corresponding to New Analytics
Tensor<3,4> X3g1 = g.leftprod(Tq1+Tpq+Tpqbar);
Tensor<3,4> X3g2 = g.leftprod(Tq3-Tpq-Tpqbar);
Tensor<3,4> X3g3 = g.leftprod((Tq1+Tq3));
// Note the contraction of indices changes term by term
Tensor<2,4> X3g1Cont = X3g1.contract(qqxCur,3);
Tensor<2,4> X3g2Cont = X3g2.contract(qqxCur,2);
Tensor<2,4> X3g3Cont = X3g3.contract(qqxCur,1);
Tensor<2,4>Xsym(0.);
for(int mu=0; mu<4;mu++){
for(int nu=0;nu<4;nu++){
Xsym.Set(mu, nu, COM(0,1) * ( (X3g1Cont.at(nu,mu) + X3g2Cont.at(mu,nu)
- X3g3Cont.at(nu,mu)) + (X1aCont.at(mu,nu) - X4bCont.at(mu,nu)) ) );
}
}
return Xsym/s23;
}
Tensor <1,4> jW4bEmit(HLV pb, HLV p4, HLV pl, HLV plbar, bool aqlinepb){
// Build the external quark line W Emmision
Tensor<1,4> ABCurr = TCurrent(pl, false, plbar, false)/2;
Tensor<1,4> Tp4W = Construct1Tensor((p4+pl+plbar));//p4+pw
Tensor<1,4> TpbW = Construct1Tensor((pb-pl-plbar));//pb-pw
Tensor<3,4> J4bBlank;
if (aqlinepb){
J4bBlank = T3Current(pb,false,p4,false);
}
else{
J4bBlank = T3Current(p4,false,pb,false);
}
double t4AB = (p4+pl+plbar).m2();
double tbAB = (pb-pl-plbar).m2();
Tensor<2,4> J4b1 = (J4bBlank.contract(Tp4W,2))/t4AB;
Tensor<2,4> J4b2 = (J4bBlank.contract(TpbW,2))/tbAB;
Tensor<2,4> T4bmMom(0.);
if (aqlinepb){
for(int mu=0; mu<4;mu++){
for(int nu=0;nu<4;nu++){
T4bmMom.Set(mu,nu, (J4b1.at(nu,mu) + J4b2.at(mu,nu))*(COM(-1,0)));
}
}
}
else{
for(int mu=0; mu<4;mu++){
for(int nu=0;nu<4;nu++){
T4bmMom.Set(nu,mu, (J4b1.at(nu,mu) + J4b2.at(mu,nu)));
}
}
}
Tensor<1,4> T4bm = T4bmMom.contract(ABCurr,1);
return T4bm;
}
} // Anonymous Namespace helper functions
-
-
//Functions which can be called elsewhere (declarations in currents.hh).
// W+Jets Unordered Contributions
-
//qQ->qQWg_unob
double junobMWqQg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector pg)
// Calculates the square of the current contractions for qQ->qenuQ scattering
// p1: quark (with W emittance)
// p2: Quark
{
CCurrent mj1m,mj2p,mj2m;
CLHEP::HepLorentzVector q1=p1in-p1out-pe-pnu;
CLHEP::HepLorentzVector q2=-(p2in-p2out-pg);
CLHEP::HepLorentzVector q3=-(p2in-p2out);
mj1m=jW(p1out,false,pe,false,pnu,false,p1in,false);
mj2p=j(p2out,true,p2in,true);
mj2m=j(p2out,false,p2in,false);
// Dot products of these which occur again and again
COM MWmp=mj1m.dot(mj2p); // And now for the Higgs ones
COM MWmm=mj1m.dot(mj2m);
CCurrent jgbm,jgbp,j2gm,j2gp;
j2gp=joo(p2out,true,pg,true);
j2gm=joo(p2out,false,pg,false);
jgbp=j(pg,true,p2in,true);
jgbm=j(pg,false,p2in,false);
CCurrent qsum(q2+q3);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p1o(p1out),p1i(p1in);
CCurrent p2o(p2out);
CCurrent p2i(p2in);
Lmm=((-1.)*qsum*(MWmm) + (-2.*mj1m.dot(pg))*mj2m+2.*mj2m.dot(pg)*mj1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MWmm/2.))/q3.m2();
Lmp=((-1.)*qsum*(MWmp) + (-2.*mj1m.dot(pg))*mj2p+2.*mj2p.dot(pg)*mj1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MWmp/2.))/q3.m2();
U1mm=(jgbm.dot(mj1m)*j2gm+2.*p2o*MWmm)/(p2out+pg).m2();
U1mp=(jgbp.dot(mj1m)*j2gp+2.*p2o*MWmp)/(p2out+pg).m2();
U2mm=((-1.)*j2gm.dot(mj1m)*jgbm+2.*p2i*MWmm)/(p2in-pg).m2();
U2mp=((-1.)*j2gp.dot(mj1m)*jgbp+2.*p2i*MWmp)/(p2in-pg).m2();
- const double cf=RHEJ::C_F;
double amm,amp;
- amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
- amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
+ amm=RHEJ::C_F*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1mm+U2mm);
+ amp=RHEJ::C_F*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1mp+U2mp);
double ampsq=-(amm+amp);
// Now add the t-channels
double th=q2.m2()*q1.m2();
ampsq/=th;
ampsq/=16.;
return ampsq;
}
//qQbar->qQbarWg_unob
double junobMWqQbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector pg)
// Calculates the square of the current contractions for qQ->qenuQ scattering
// p1: quark (with W emittance)
// p2: Quark
{
CCurrent mj1m,mj2p,mj2m;
CLHEP::HepLorentzVector q1=p1in-p1out-pe-pnu;
CLHEP::HepLorentzVector q2=-(p2in-p2out-pg);
CLHEP::HepLorentzVector q3=-(p2in-p2out);
mj1m=jW(p1out,false,pe,false,pnu,false,p1in,false);
mj2p=jio(p2in,true,p2out,true);
mj2m=jio(p2in,false,p2out,false);
// Dot products of these which occur again and again
COM MWmp=mj1m.dot(mj2p); // And now for the Higgs ones
COM MWmm=mj1m.dot(mj2m);
CCurrent jgbm,jgbp,j2gm,j2gp;
j2gp=joo(pg,true,p2out,true);
j2gm=joo(pg,false,p2out,false);
jgbp=jio(p2in,true,pg,true);
jgbm=jio(p2in,false,pg,false);
CCurrent qsum(q2+q3);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p1o(p1out),p1i(p1in);
CCurrent p2o(p2out);
CCurrent p2i(p2in);
Lmm=((-1.)*qsum*(MWmm) + (-2.*mj1m.dot(pg))*mj2m+2.*mj2m.dot(pg)*mj1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MWmm/2.))/q3.m2();
Lmp=((-1.)*qsum*(MWmp) + (-2.*mj1m.dot(pg))*mj2p+2.*mj2p.dot(pg)*mj1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MWmp/2.))/q3.m2();
U1mm=(jgbm.dot(mj1m)*j2gm+2.*p2o*MWmm)/(p2out+pg).m2();
U1mp=(jgbp.dot(mj1m)*j2gp+2.*p2o*MWmp)/(p2out+pg).m2();
U2mm=((-1.)*j2gm.dot(mj1m)*jgbm+2.*p2i*MWmm)/(p2in-pg).m2();
U2mp=((-1.)*j2gp.dot(mj1m)*jgbp+2.*p2i*MWmp)/(p2in-pg).m2();
-
- const double cf=RHEJ::C_F;
double amm,amp;
- amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
- amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
+ amm=RHEJ::C_F*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1mm+U2mm);
+ amp=RHEJ::C_F*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1mp+U2mp);
double ampsq=-(amm+amp);
// Now add the t-channels
double th=q2.m2()*q1.m2();
ampsq/=th;
ampsq/=16.;
return ampsq;
}
//qbarQ->qbarQWg_unob
double junobMWqbarQg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector pg)
// Calculates the square of the current contractions for qQ->qenuQ scattering
// p1: quark (with W emittance)
// p2: Quark
{
CCurrent mj1m,mj2p,mj2m;
CLHEP::HepLorentzVector q1=p1in-p1out-pe-pnu;
CLHEP::HepLorentzVector q2=-(p2in-p2out-pg);
CLHEP::HepLorentzVector q3=-(p2in-p2out);
mj1m=jWbar(p1out,false,pe,false,pnu,false,p1in,false);
mj2p=j(p2out,true,p2in,true);
mj2m=j(p2out,false,p2in,false);
// Dot products of these which occur again and again
COM MWmp=mj1m.dot(mj2p); // And now for the Higgs ones
COM MWmm=mj1m.dot(mj2m);
CCurrent jgbm,jgbp,j2gm,j2gp;
j2gp=joo(p2out,true,pg,true);
j2gm=joo(p2out,false,pg,false);
jgbp=j(pg,true,p2in,true);
jgbm=j(pg,false,p2in,false);
CCurrent qsum(q2+q3);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p1o(p1out),p1i(p1in);
CCurrent p2o(p2out);
CCurrent p2i(p2in);
Lmm=((-1.)*qsum*(MWmm) + (-2.*mj1m.dot(pg))*mj2m+2.*mj2m.dot(pg)*mj1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MWmm/2.))/q3.m2();
Lmp=((-1.)*qsum*(MWmp) + (-2.*mj1m.dot(pg))*mj2p+2.*mj2p.dot(pg)*mj1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MWmp/2.))/q3.m2();
U1mm=(jgbm.dot(mj1m)*j2gm+2.*p2o*MWmm)/(p2out+pg).m2();
U1mp=(jgbp.dot(mj1m)*j2gp+2.*p2o*MWmp)/(p2out+pg).m2();
U2mm=((-1.)*j2gm.dot(mj1m)*jgbm+2.*p2i*MWmm)/(p2in-pg).m2();
U2mp=((-1.)*j2gp.dot(mj1m)*jgbp+2.*p2i*MWmp)/(p2in-pg).m2();
- const double cf=RHEJ::C_F;
double amm,amp;
- amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
- amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
+ amm=RHEJ::C_F*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1mm+U2mm);
+ amp=RHEJ::C_F*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1mp+U2mp);
double ampsq=-(amm+amp);
// Now add the t-channels
double th=q2.m2()*q1.m2();
ampsq/=th;
ampsq/=16.;
return ampsq;
}
//qbarQbar->qbarQbarWg_unob
double junobMWqbarQbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector pg)
// Calculates the square of the current contractions for qQ->qenuQ scattering
// p1: quark (with W emittance)
// p2: Quark
{
CCurrent mj1m,mj2p,mj2m;
CLHEP::HepLorentzVector q1=p1in-p1out-pe-pnu;
CLHEP::HepLorentzVector q2=-(p2in-p2out-pg);
CLHEP::HepLorentzVector q3=-(p2in-p2out);
mj1m=jWbar(p1out,false,pe,false,pnu,false,p1in,false);
mj2p=jio(p2in,true,p2out,true);
mj2m=jio(p2in,false,p2out,false);
// Dot products of these which occur again and again
COM MWmp=mj1m.dot(mj2p); // And now for the Higgs ones
COM MWmm=mj1m.dot(mj2m);
CCurrent jgbm,jgbp,j2gm,j2gp;
j2gp=joo(pg,true,p2out,true);
j2gm=joo(pg,false,p2out,false);
jgbp=jio(p2in,true,pg,true);
jgbm=jio(p2in,false,pg,false);
CCurrent qsum(q2+q3);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p1o(p1out),p1i(p1in);
CCurrent p2o(p2out);
CCurrent p2i(p2in);
Lmm=((-1.)*qsum*(MWmm) + (-2.*mj1m.dot(pg))*mj2m+2.*mj2m.dot(pg)*mj1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MWmm/2.))/q3.m2();
Lmp=((-1.)*qsum*(MWmp) + (-2.*mj1m.dot(pg))*mj2p+2.*mj2p.dot(pg)*mj1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MWmp/2.))/q3.m2();
U1mm=(jgbm.dot(mj1m)*j2gm+2.*p2o*MWmm)/(p2out+pg).m2();
U1mp=(jgbp.dot(mj1m)*j2gp+2.*p2o*MWmp)/(p2out+pg).m2();
U2mm=((-1.)*j2gm.dot(mj1m)*jgbm+2.*p2i*MWmm)/(p2in-pg).m2();
U2mp=((-1.)*j2gp.dot(mj1m)*jgbp+2.*p2i*MWmp)/(p2in-pg).m2();
- const double cf=RHEJ::C_F;
double amm,amp;
- amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
- amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
+ amm=RHEJ::C_F*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1mm+U2mm);
+ amp=RHEJ::C_F*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1mp+U2mp);
double ampsq=-(amm+amp);
// Now add the t-channels
double th=q2.m2()*q1.m2();
ampsq/=th;
ampsq/=16.;
return ampsq;
}
////////////////////////////////////////////////////////////////////
//qQ->qQWg_unof
double junofMWgqQ (CLHEP::HepLorentzVector pg,CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for qQ->qenuQ scattering
// p1: quark (with W emittance)
// p2: Quark
{
CCurrent mj2m,mj1p,mj1m;
CLHEP::HepLorentzVector q1=p1in-p1out;
CLHEP::HepLorentzVector qg=p1in-p1out-pg;
CLHEP::HepLorentzVector q2=-(p2in-p2out-pe-pnu);
mj2m=jW(p2out,false,pe,false,pnu,false,p2in,false);
mj1p=j(p1out,true,p1in,true);
mj1m=j(p1out,false,p1in,false);
// Dot products of these which occur again and again
COM MWpm=mj1p.dot(mj2m); // And now for the Higgs ones
COM MWmm=mj1m.dot(mj2m);
CCurrent jgam,jgap,j2gm,j2gp;
j2gp=joo(p1out,true,pg,true);
j2gm=joo(p1out,false,pg,false);
jgap=j(pg,true,p1in,true);
jgam=j(pg,false,p1in,false);
CCurrent qsum(q1+qg);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p2o(p2out),p2i(p2in);
CCurrent p1o(p1out);
CCurrent p1i(p1in);
Lmm=(qsum*(MWmm) + (-2.*mj2m.dot(pg))*mj1m+2.*mj1m.dot(pg)*mj2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MWmm/2.))/q1.m2();
-
Lpm=(qsum*(MWpm) + (-2.*mj2m.dot(pg))*mj1p+2.*mj1p.dot(pg)*mj2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MWpm/2.))/q1.m2();
U1mm=(jgam.dot(mj2m)*j2gm+2.*p1o*MWmm)/(p1out+pg).m2();
-
U1pm=(jgap.dot(mj2m)*j2gp+2.*p1o*MWpm)/(p1out+pg).m2();
U2mm=((-1.)*j2gm.dot(mj2m)*jgam+2.*p1i*MWmm)/(p1in-pg).m2();
-
U2pm=((-1.)*j2gp.dot(mj2m)*jgap+2.*p1i*MWpm)/(p1in-pg).m2();
-
- const double cf=RHEJ::C_F;
double amm,apm;
-
- amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
-
- apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
-
-
+ amm=RHEJ::C_F*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1mm+U2mm);
+ apm=RHEJ::C_F*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1pm+U2pm);
double ampsq=-(apm+amm);
// Now add the t-channels
double th=q2.m2()*qg.m2();
ampsq/=th;
ampsq/=16.;
return ampsq;
}
//qQbar->qQbarWg_unof
double junofMWgqQbar (CLHEP::HepLorentzVector pg,CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for qQ->qenuQ scattering
// p1: quark (with W emittance)
// p2: Quark
{
CCurrent mj2m,mj1p,mj1m;
CLHEP::HepLorentzVector q1=p1in-p1out;
CLHEP::HepLorentzVector qg=p1in-p1out-pg;
CLHEP::HepLorentzVector q2=-(p2in-p2out-pe-pnu);
mj2m=jWbar(p2out,false,pe,false,pnu,false,p2in,false);
mj1p=j(p1out,true,p1in,true);
mj1m=j(p1out,false,p1in,false);
// Dot products of these which occur again and again
COM MWpm=mj1p.dot(mj2m); // And now for the Higgs ones
COM MWmm=mj1m.dot(mj2m);
CCurrent jgam,jgap,j2gm,j2gp;
j2gp=joo(p1out,true,pg,true);
j2gm=joo(p1out,false,pg,false);
jgap=j(pg,true,p1in,true);
jgam=j(pg,false,p1in,false);
CCurrent qsum(q1+qg);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p2o(p2out),p2i(p2in);
CCurrent p1o(p1out);
CCurrent p1i(p1in);
Lmm=(qsum*(MWmm) + (-2.*mj2m.dot(pg))*mj1m+2.*mj1m.dot(pg)*mj2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MWmm/2.))/q1.m2();
-
Lpm=(qsum*(MWpm) + (-2.*mj2m.dot(pg))*mj1p+2.*mj1p.dot(pg)*mj2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MWpm/2.))/q1.m2();
U1mm=(jgam.dot(mj2m)*j2gm+2.*p1o*MWmm)/(p1out+pg).m2();
-
U1pm=(jgap.dot(mj2m)*j2gp+2.*p1o*MWpm)/(p1out+pg).m2();
U2mm=((-1.)*j2gm.dot(mj2m)*jgam+2.*p1i*MWmm)/(p1in-pg).m2();
-
U2pm=((-1.)*j2gp.dot(mj2m)*jgap+2.*p1i*MWpm)/(p1in-pg).m2();
-
- const double cf=RHEJ::C_F;
double amm,apm;
- amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
-
- apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
-
-
+ amm=RHEJ::C_F*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1mm+U2mm);
+ apm=RHEJ::C_F*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1pm+U2pm);
double ampsq=-(apm+amm);
// Now add the t-channels
double th=q2.m2()*qg.m2();
ampsq/=th;
ampsq/=16.;
return ampsq;
}
//qbarQ->qbarQWg_unof
double junofMWgqbarQ (CLHEP::HepLorentzVector pg,CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for qQ->qenuQ scattering
// p1: quark (with W emittance)
// p2: Quark
{
CCurrent mj2m,mj1p,mj1m;
CLHEP::HepLorentzVector q1=p1in-p1out;
CLHEP::HepLorentzVector qg=p1in-p1out-pg;
CLHEP::HepLorentzVector q2=-(p2in-p2out-pe-pnu);
mj2m=jW(p2out,false,pe,false,pnu,false,p2in,false);
mj1p=jio(p1in,true,p1out,true);
mj1m=jio(p1in,false,p1out,false);
// Dot products of these which occur again and again
COM MWpm=mj1p.dot(mj2m); // And now for the Higgs ones
COM MWmm=mj1m.dot(mj2m);
CCurrent jgam,jgap,j2gm,j2gp;
j2gp=joo(pg,true,p1out,true);
j2gm=joo(pg,false,p1out,false);
jgap=jio(p1in,true,pg,true);
jgam=jio(p1in,false,pg,false);
CCurrent qsum(q1+qg);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p2o(p2out),p2i(p2in);
CCurrent p1o(p1out);
CCurrent p1i(p1in);
Lmm=(qsum*(MWmm) + (-2.*mj2m.dot(pg))*mj1m+2.*mj1m.dot(pg)*mj2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MWmm/2.))/q1.m2();
-
Lpm=(qsum*(MWpm) + (-2.*mj2m.dot(pg))*mj1p+2.*mj1p.dot(pg)*mj2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MWpm/2.))/q1.m2();
U1mm=(jgam.dot(mj2m)*j2gm+2.*p1o*MWmm)/(p1out+pg).m2();
-
U1pm=(jgap.dot(mj2m)*j2gp+2.*p1o*MWpm)/(p1out+pg).m2();
U2mm=((-1.)*j2gm.dot(mj2m)*jgam+2.*p1i*MWmm)/(p1in-pg).m2();
-
U2pm=((-1.)*j2gp.dot(mj2m)*jgap+2.*p1i*MWpm)/(p1in-pg).m2();
-
- const double cf=RHEJ::C_F;
double amm,apm;
-
- amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
-
- apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
-
-
+ amm=RHEJ::C_F*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1mm+U2mm);
+ apm=RHEJ::C_F*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1pm+U2pm);
double ampsq=-(apm+amm);
// Now add the t-channels
double th=q2.m2()*qg.m2();
ampsq/=th;
ampsq/=16.;
return ampsq;
}
//qbarQbar->qbarQbarWg_unof
double junofMWgqbarQbar (CLHEP::HepLorentzVector pg,CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for qQ->qenuQ scattering
// p1: quark (with W emittance)
// p2: Quark
{
CCurrent mj2m,mj1p,mj1m;
CLHEP::HepLorentzVector q1=p1in-p1out;
CLHEP::HepLorentzVector qg=p1in-p1out-pg;
CLHEP::HepLorentzVector q2=-(p2in-p2out-pe-pnu);
mj2m=jWbar(p2out,false,pe,false,pnu,false,p2in,false);
mj1p=jio(p1in,true,p1out,true);
mj1m=jio(p1in,false,p1out,false);
// Dot products of these which occur again and again
COM MWpm=mj1p.dot(mj2m); // And now for the Higgs ones
COM MWmm=mj1m.dot(mj2m);
CCurrent jgam,jgap,j2gm,j2gp;
j2gp=joo(pg,true,p1out,true);
j2gm=joo(pg,false,p1out,false);
jgap=jio(p1in,true,pg,true);
jgam=jio(p1in,false,pg,false);
CCurrent qsum(q1+qg);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p2o(p2out),p2i(p2in);
CCurrent p1o(p1out);
CCurrent p1i(p1in);
Lmm=(qsum*(MWmm) + (-2.*mj2m.dot(pg))*mj1m+2.*mj1m.dot(pg)*mj2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MWmm/2.))/q1.m2();
-
Lpm=(qsum*(MWpm) + (-2.*mj2m.dot(pg))*mj1p+2.*mj1p.dot(pg)*mj2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MWpm/2.))/q1.m2();
-
U1mm=(jgam.dot(mj2m)*j2gm+2.*p1o*MWmm)/(p1out+pg).m2();
-
U1pm=(jgap.dot(mj2m)*j2gp+2.*p1o*MWpm)/(p1out+pg).m2();
U2mm=((-1.)*j2gm.dot(mj2m)*jgam+2.*p1i*MWmm)/(p1in-pg).m2();
-
U2pm=((-1.)*j2gp.dot(mj2m)*jgap+2.*p1i*MWpm)/(p1in-pg).m2();
-
- const double cf=RHEJ::C_F;
double amm,apm;
- amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
-
- apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
+ amm=RHEJ::C_F*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1mm+U2mm);
+ apm=RHEJ::C_F*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*RHEJ::C_F*RHEJ::C_F/3.*vabs2(U1pm+U2pm);
double ampsq=-(apm+amm);
// Now add the t-channels
double th=q2.m2()*qg.m2();
ampsq/=th;
ampsq/=16.;
return ampsq;
}
///TODO make this comment more visible
/// Naming scheme jM2-Wuno-g-({q/qbar}{Q/Qbar/g})
///TODO Spit naming for more complicated functions?
/// e.g. jM2WqqtoqQQq -> jM2_Wqq_to_qQQq
double jM2WunogqQ(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
{
//COM temp;
double ME2mpp=0.;
double ME2mpm=0.;
double ME2mmp=0.;
double ME2mmm=0.;
double ME2;
ME2mpp = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,true,true);
ME2mpm = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,true,false);
ME2mmp = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,false,true);
ME2mmm = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,false,false);
//Helicity sum
ME2 = ME2mpp + ME2mpm + ME2mmp + ME2mmm;
return ME2;
}
//same as function above but actually obtaining the antiquark line by crossing symmetry, where p1out and p1in are expected to be negative.
//should give same result as jM2WunogqbarQ below (verified)
double jM2WunogqQ_crossqQ(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
{
//COM temp;
double ME2mpp=0.;
double ME2mpm=0.;
double ME2mmp=0.;
double ME2mmm=0.;
double ME2;
ME2mpp = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,true,true);
ME2mpm = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,true,false);
ME2mmp = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,false,true);
ME2mmm = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,false,false);
//Helicity sum
ME2 = ME2mpp + ME2mpm + ME2mmp + ME2mmm;
return ME2;
}
double jM2WunogqQbar(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
{
//COM temp;
double ME2mpp=0.;
double ME2mpm=0.;
double ME2mmp=0.;
double ME2mmm=0.;
double ME2;
ME2mpp = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,true,true);
ME2mpm = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,true,false);
ME2mmp = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,false,true);
ME2mmm = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,false,false);
//Helicity sum
ME2 = ME2mpp + ME2mpm + ME2mmp + ME2mmm;
return ME2;
}
double jM2Wunogqg(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
{
//COM temp;
double ME2mpp=0.;
double ME2mpm=0.;
double ME2mmp=0.;
double ME2mmm=0.;
double ME2;
ME2mpp = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,true,true);
ME2mpm = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,true,false);
ME2mmp = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,false,true);
ME2mmm = jM2Wuno(pg, p1out,plbar,pl,p1in,false,p2out,p2in,false,false);
//Helicity sum
ME2 = ME2mpp + ME2mpm + ME2mmp + ME2mmm;
- const double ca = RHEJ::C_A;
- const double cf = RHEJ::C_F; ///<TODO directly use RHEJ constants
-
double ratio; // p2-/pb- in the notes
if (p2in.pz()>0.) // if the gluon is the positive
ratio=p2out.plus()/p2in.plus();
else // the gluon is the negative
ratio=p2out.minus()/p2in.minus();
- double cam = ( (ca - 1/ca)*(ratio + 1./ratio)/2. + 1/ca)/cf;
+ double cam = ( (RHEJ::C_A - 1/RHEJ::C_A)*(ratio + 1./ratio)/2. + 1/RHEJ::C_A)/RHEJ::C_F;
ME2*=cam;
return ME2;
}
double jM2WunogqbarQ(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
{
//COM temp;
double ME2mpp=0.;
double ME2mpm=0.;
double ME2mmp=0.;
double ME2mmm=0.;
double ME2;
ME2mpp = jM2Wuno(pg, p1out,plbar,pl,p1in,true,p2out,p2in,true,true);
ME2mpm = jM2Wuno(pg, p1out,plbar,pl,p1in,true,p2out,p2in,true,false);
ME2mmp = jM2Wuno(pg, p1out,plbar,pl,p1in,true,p2out,p2in,false,true);
ME2mmm = jM2Wuno(pg, p1out,plbar,pl,p1in,true,p2out,p2in,false,false);
//Helicity sum
ME2 = ME2mpp + ME2mpm + ME2mmp + ME2mmm;
return ME2;
}
double jM2WunogqbarQbar(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
{
//COM temp;
double ME2mpp=0.;
double ME2mpm=0.;
double ME2mmp=0.;
double ME2mmm=0.;
double ME2;
ME2mpp = jM2Wuno(pg, p1out,plbar,pl,p1in,true,p2out,p2in,true,true);
ME2mpm = jM2Wuno(pg, p1out,plbar,pl,p1in,true,p2out,p2in,true,false);
ME2mmp = jM2Wuno(pg, p1out,plbar,pl,p1in,true,p2out,p2in,false,true);
ME2mmm = jM2Wuno(pg, p1out,plbar,pl,p1in,true,p2out,p2in,false,false);
//Helicity sum
ME2 = ME2mpp + ME2mpm + ME2mmp + ME2mmm;
return ME2;
}
double jM2Wunogqbarg(CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
{
//COM temp;
double ME2mpp=0.;
double ME2mpm=0.;
double ME2mmp=0.;
double ME2mmm=0.;
double ME2;
ME2mpp = jM2Wuno(pg, p1out,plbar,pl,p1in,true,p2out,p2in,true,true);
ME2mpm = jM2Wuno(pg, p1out,plbar,pl,p1in,true,p2out,p2in,true,false);
ME2mmp = jM2Wuno(pg, p1out,plbar,pl,p1in,true,p2out,p2in,false,true);
ME2mmm = jM2Wuno(pg, p1out,plbar,pl,p1in,true,p2out,p2in,false,false);
//Helicity sum
ME2 = ME2mpp + ME2mpm + ME2mmp + ME2mmm;
- const double ca = RHEJ::C_A;
- const double cf = RHEJ::C_F; ///<TODO directly use RHEJ constants
-
double ratio; // p2-/pb- in the notes
if (p2in.pz()>0.) // if the gluon is the positive
ratio=p2out.plus()/p2in.plus();
else // the gluon is the negative
ratio=p2out.minus()/p2in.minus();
- double cam = ( (ca - 1/ca)*(ratio + 1./ratio)/2. + 1/ca)/cf;
+ double cam = ( (RHEJ::C_A - 1/RHEJ::C_A)*(ratio + 1./ratio)/2. + 1/RHEJ::C_A)/RHEJ::C_F;
ME2*=cam;
return ME2;
}
// W+Jets qqxExtremal
// W+Jets qqxExtremal Currents - wqq emission
double jM2WgQtoqbarqQ(CLHEP::HepLorentzVector pgin, CLHEP::HepLorentzVector pqout,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector pqbarout, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
{
//COM temp;
double ME2mpp=0.;
double ME2mpm=0.;
double ME2mmp=0.;
double ME2mmm=0.;
double ME2;
ME2mpp = jM2Wuno(-pgin, pqout,plbar,pl,-pqbarout,false,p2out,p2in,true,true);
ME2mpm = jM2Wuno(-pgin, pqout,plbar,pl,-pqbarout,false,p2out,p2in,true,false);
ME2mmp = jM2Wuno(-pgin, pqout,plbar,pl,-pqbarout,false,p2out,p2in,false,true);
ME2mmm = jM2Wuno(-pgin, pqout,plbar,pl,-pqbarout,false,p2out,p2in,false,false);
//Helicity sum
ME2 = ME2mpp + ME2mpm + ME2mmp + ME2mmm;
//Correct colour averaging
ME2*=(3.0/8.0);
return ME2;
}
double jM2WgQtoqqbarQ(CLHEP::HepLorentzVector pgin, CLHEP::HepLorentzVector pqbarout,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector pqout, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in){
//COM temp;
double ME2mpp=0.;
double ME2mpm=0.;
double ME2mmp=0.;
double ME2mmm=0.;
double ME2;
ME2mpp = jM2Wuno(-pgin, pqbarout,plbar,pl,-pqout,true,p2out,p2in,true,true);
ME2mpm = jM2Wuno(-pgin, pqbarout,plbar,pl,-pqout,true,p2out,p2in,true,false);
ME2mmp = jM2Wuno(-pgin, pqbarout,plbar,pl,-pqout,true,p2out,p2in,false,true);
ME2mmm = jM2Wuno(-pgin, pqbarout,plbar,pl,-pqout,true,p2out,p2in,false,false);
//Helicity sum
ME2 = ME2mpp + ME2mpm + ME2mmp + ME2mmm;
//Correct colour averaging
ME2*=(3.0/8.0);
return ME2;
}
double jM2Wggtoqbarqg(CLHEP::HepLorentzVector pgin, CLHEP::HepLorentzVector pqout,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector pqbarout, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
{
//COM temp;
double ME2mpp=0.;
double ME2mpm=0.;
double ME2mmp=0.;
double ME2mmm=0.;
double ME2;
ME2mpp = jM2Wuno(-pgin, pqout,plbar,pl,-pqbarout,false,p2out,p2in,true,true);
ME2mpm = jM2Wuno(-pgin, pqout,plbar,pl,-pqbarout,false,p2out,p2in,true,false);
ME2mmp = jM2Wuno(-pgin, pqout,plbar,pl,-pqbarout,false,p2out,p2in,false,true);
ME2mmm = jM2Wuno(-pgin, pqout,plbar,pl,-pqbarout,false,p2out,p2in,false,false);
//Helicity sum
ME2 = ME2mpp + ME2mpm + ME2mmp + ME2mmm;
- const double ca = RHEJ::C_A;
- const double cf = RHEJ::C_F; ///<TODO directly use RHEJ constants
-
double ratio; // p2-/pb- in the notes
if (p2in.pz()>0.) // if the gluon is the positive
ratio=p2out.plus()/p2in.plus();
else // the gluon is the negative
ratio=p2out.minus()/p2in.minus();
- double cam = ( (ca - 1/ca)*(ratio + 1./ratio)/2. + 1/ca)/cf;
+ double cam = ( (RHEJ::C_A - 1/RHEJ::C_A)*(ratio + 1./ratio)/2. + 1/RHEJ::C_A)/RHEJ::C_F;
ME2*=cam;
//Correct colour averaging
ME2*=(3.0/8.0);
return ME2;
}
double jM2Wggtoqqbarg(CLHEP::HepLorentzVector pgin, CLHEP::HepLorentzVector pqbarout,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector pqout, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in){
//COM temp;
double ME2mpp=0.;
double ME2mpm=0.;
double ME2mmp=0.;
double ME2mmm=0.;
double ME2;
ME2mpp = jM2Wuno(-pgin, pqbarout,plbar,pl,-pqout,true,p2out,p2in,true,true);
ME2mpm = jM2Wuno(-pgin, pqbarout,plbar,pl,-pqout,true,p2out,p2in,true,false);
ME2mmp = jM2Wuno(-pgin, pqbarout,plbar,pl,-pqout,true,p2out,p2in,false,true);
ME2mmm = jM2Wuno(-pgin, pqbarout,plbar,pl,-pqout,true,p2out,p2in,false,false);
//Helicity sum
ME2 = ME2mpp + ME2mpm + ME2mmp + ME2mmm;
- const double ca = RHEJ::C_A;
- const double cf = RHEJ::C_F; ///<TODO directly use RHEJ constants
-
double ratio; // p2-/pb- in the notes
if (p2in.pz()>0.) // if the gluon is the positive
ratio=p2out.plus()/p2in.plus();
else // the gluon is the negative
ratio=p2out.minus()/p2in.minus();
- double cam = ( (ca - 1/ca)*(ratio + 1./ratio)/2. + 1/ca)/cf;
+ double cam = ( (RHEJ::C_A - 1/RHEJ::C_A)*(ratio + 1./ratio)/2. + 1/RHEJ::C_A)/RHEJ::C_F;
ME2*=cam;
//Correct colour averaging
ME2*=(3.0/8.0);
return ME2;
}
+namespace {
+//First, a function for generating polarisation tensors. Output as 'current'.
+void eps(CLHEP::HepLorentzVector refmom, CLHEP::HepLorentzVector kb, bool hel, current &ep){
+ current curm,curp;
+ //Recall - positive helicity eps has negative helicity choices for spinors and vice versa
+ j(refmom,true,kb,true,curm);
+ j(refmom,false,kb,false,curp);
+ double norm=1.;
+ if(kb.z()<0.)
+ norm *= sqrt(2.*refmom.plus()*kb.minus());
+ if(kb.z()>0.)
+ norm = sqrt(2.*refmom.minus()*kb.plus());
+ if(hel==false){
+ ep[0] = curm[0]/norm;
+ ep[1] = curm[1]/norm;
+ ep[2] = curm[2]/norm;
+ ep[3] = curm[3]/norm;
+ }
+ if(hel==true){
+ ep[0] = curp[0]/norm;
+ ep[1] = curp[1]/norm;
+ ep[2] = curp[2]/norm;
+ ep[3] = curp[3]/norm;
+ }
+}
+
+
+//Now build up each part of the squared amplitude
+
+COM qWggm1(CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector pb, CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector p2, CLHEP::HepLorentzVector p3, CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector plbar, bool helchain, bool helb,CLHEP::HepLorentzVector refmom){
+ current cur33, cur23, curb3, cur2b, ep;
+ joo(p3, helchain, p3, helchain,cur33);
+ joo(p2,helchain,p3,helchain,cur23);
+ jio(pb,helchain,p3,helchain,curb3);
+ joi(p2,helchain,pb,helchain,cur2b);
+
+ // Build the external quark line W Emmision
+ Tensor<1,4> ABCurr = TCurrent(pl, false, plbar, false);
+ Tensor<1,4> Tp1W = Construct1Tensor((p1+pl+plbar));//p1+pw
+ Tensor<1,4> TqaW = Construct1Tensor((pa-pl-plbar));//pa-pw
+ Tensor<3,4> J1aBlank = T3Current(p1,false,pa,false);
+ double t1AB = (p1+pl+plbar).m2();
+ double taAB = (pa-pl-plbar).m2();
+ Tensor<2,4> J1a1 = (J1aBlank.contract(Tp1W,2))/t1AB;
+ Tensor<2,4> J1a2 = (J1aBlank.contract(TqaW,2))/taAB;
+ Tensor<1,4> cur1a = J1a1.contract(ABCurr,1) + J1a2.contract(ABCurr,2);
+
+ double t2 = (p3-pb)*(p3-pb);
+
+ //Create vertex
+ COM v1[4][4];
+ for(int u=0; u<4;u++)
+ {
+ for(int v=0; v<4; v++)
+ {
+ v1[u][v]=(cur23[u]*cur33[v]-cur2b[u]*curb3[v])/t2*(-1.);
+ }
+ }
+ //Dot in current and eps
+ //Metric tensor
+ double eta[4][4]={};
+ eta[0][0]=1.;
+ eta[1][1]=-1.;
+ eta[2][2]=-1.;
+ eta[3][3]=-1.;
+ //eps
+ eps(refmom,pb,helb, ep);
+ COM M1=0.;
+ for(int i=0;i<4;i++){
+ for(int j=0;j<4;j++){
+ for(int k=0; k<4; k++){
+ for(int l=0; l<4;l++){
+ M1+= eta[i][k]*cur1a.at(k)*(v1[i][j])*ep[l]*eta[l][j];
+ }
+ }
+ }
+ }
+ return M1;
+}
+
+COM qWggm2(CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector pb, CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector p2, CLHEP::HepLorentzVector p3, CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector plbar, bool helchain, bool helb,CLHEP::HepLorentzVector refmom){
+ current cur22, cur23, curb3, cur2b, ep;
+ joo(p2, helchain, p2, helchain,cur22);
+ joo(p2,helchain,p3,helchain,cur23);
+ jio(pb,helchain,p3,helchain,curb3);
+ joi(p2,helchain,pb,helchain,cur2b);
+
+ // Build the external quark line W Emmision
+ Tensor<1,4> ABCurr = TCurrent(pl, false, plbar, false);
+ Tensor<1,4> Tp1W = Construct1Tensor((p1+pl+plbar));//p1+pw
+ Tensor<1,4> TqaW = Construct1Tensor((pa-pl-plbar));//pa-pw
+
+ Tensor<3,4> J1aBlank = T3Current(p1,false,pa,false);
+
+ double t1AB = (p1+pl+plbar).m2();
+ double taAB = (pa-pl-plbar).m2();
+
+ Tensor<2,4> J1a1 = (J1aBlank.contract(Tp1W,2))/t1AB;
+ Tensor<2,4> J1a2 = (J1aBlank.contract(TqaW,2))/taAB;
+
+ Tensor<1,4> cur1a = J1a1.contract(ABCurr,1) + J1a2.contract(ABCurr,2);
+
+ double t2t = (p2-pb)*(p2-pb);
+ //Create vertex
+ COM v2[4][4]={};
+ for(int u=0; u<4;u++)
+ {
+ for(int v=0; v<4; v++)
+ {
+ v2[u][v]=(cur22[v]*cur23[u]-cur2b[v]*curb3[u])/t2t;
+ }
+ }
+ //Dot in current and eps
+ //Metric tensor
+ double eta[4][4]={};
+ eta[0][0]=1.;
+ eta[1][1]=-1.;
+ eta[2][2]=-1.;
+ eta[3][3]=-1.;
+ //eps
+ eps(refmom,pb,helb, ep);
+ COM M2=0.;
+ for(int i=0;i<4;i++){
+ for(int j=0;j<4;j++){
+ for(int k=0; k<4; k++){
+ for(int l=0; l<4;l++){
+ M2+= eta[i][k]*cur1a.at(k)*(v2[i][j])*ep[l]*eta[l][j];
+ }
+ }
+ }
+ }
+ return M2;
+}
+
+COM qWggm3(CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector pb, CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector p2, CLHEP::HepLorentzVector p3, CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector plbar, bool helchain, bool helb,CLHEP::HepLorentzVector refmom){
+ //3 gluon vertex bit
+ double eta[4][4]={};
+ eta[0][0]=1.;
+ eta[1][1]=-1.;
+ eta[2][2]=-1.;
+ eta[3][3]=-1.;
+ current spincur,ep;
+ double s23 = (p2+p3)*(p2+p3);
+ joo(p2,helchain,p3,helchain,spincur);
+
+ // Build the external quark line W Emmision
+ Tensor<1,4> ABCurr = TCurrent(pl, false, plbar, false);
+ Tensor<1,4> Tp1W = Construct1Tensor((p1+pl+plbar));//p1+pw
+ Tensor<1,4> TqaW = Construct1Tensor((pa-pl-plbar));//pa-pw
+
+ Tensor<3,4> J1aBlank = T3Current(p1,false,pa,false);
+
+ double t1AB = (p1+pl+plbar).m2();
+ double taAB = (pa-pl-plbar).m2();
+
+ Tensor<2,4> J1a1 = (J1aBlank.contract(Tp1W,2))/t1AB;
+ Tensor<2,4> J1a2 = (J1aBlank.contract(TqaW,2))/taAB;
+
+ Tensor<1,4> cur1a = J1a1.contract(ABCurr,1) + J1a2.contract(ABCurr,2);
+
+ //Redefine relevant momenta as currents - for ease of calling correct part of vector
+ current ka,k2,k3,kb;
+ kb[0]=pb.e();
+ kb[1]=pb.x();
+ kb[2]=pb.y();
+ kb[3]=pb.z();
+ k2[0]=p2.e();
+ k2[1]=p2.x();
+ k2[2]=p2.y();
+ k2[3]=p2.z();
+ k3[0]=p3.e();
+ k3[1]=p3.x();
+ k3[2]=p3.y();
+ k3[3]=p3.z();
+ ka[0]=pa.e();
+ ka[1]=pa.x();
+ ka[2]=pa.y();
+ ka[3]=pa.z();
+ COM V3g[4][4]={};
+ for(int u=0;u<4;u++){
+ for(int v=0;v<4;v++){
+ for(int p=0;p<4;p++){
+ for(int r=0; r<4;r++){
+ V3g[u][v] += COM(0.,1.)*(((2.*k2[v]+2.*k3[v])*eta[u][p] - (2.*kb[u])*eta[p][v]+2.*kb[p]*eta[u][v])*spincur[r]*eta[r][p])/s23;
+ }
+ }
+ }
+ }
+ COM diffextrabit[4][4]={};
+ for(int u=0;u<4;u++) {
+ for(int v=0;v<4;v++) {
+ diffextrabit[u][v] = 0.;
+ }
+ }
+
+ //Dot in current and eps
+ //eps
+ eps(refmom,pb,helb, ep);
+ COM M3=0.;
+ for(int i=0;i<4;i++){
+ for(int j=0;j<4;j++){
+ for(int k=0; k<4; k++){
+ for(int l=0; l<4;l++){
+ M3+= eta[i][k]*cur1a.at(k)*(V3g[i][j]+diffextrabit[i][j])*ep[l]*eta[l][j];
+ }
+ }
+ }
+ }
+ return M3;
+}
+}
+
+// no wqq emission
+double jM2WgqtoQQqW(CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector pb, CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector p2, CLHEP::HepLorentzVector p3,CLHEP::HepLorentzVector plbar,CLHEP::HepLorentzVector pl){
+
+ // 4 indepedent helicity choices (complex conjugation related).
+
+ //Need to evalute each independent hel configuration and store that result somewhere
+ COM Mmmm1 = qWggm1(pa,pb,p1,p2,p3,pl,plbar,false,false, pa);
+ COM Mmmm2 = qWggm2(pa,pb,p1,p2,p3,pl,plbar,false,false, pa);
+ COM Mmmm3 = qWggm3(pa,pb,p1,p2,p3,pl,plbar,false,false, pa);
+ COM Mmmp1 = qWggm1(pa,pb,p1,p2,p3,pl,plbar,true,false, pa);
+ COM Mmmp2 = qWggm2(pa,pb,p1,p2,p3,pl,plbar,true,false, pa);
+ COM Mmmp3 = qWggm3(pa,pb,p1,p2,p3,pl,plbar,true,false, pa);
+ COM Mpmm1 = qWggm1(pa,pb,p1,p2,p3,pl,plbar,false,true, pa);
+ COM Mpmm2 = qWggm2(pa,pb,p1,p2,p3,pl,plbar,false,true, pa);
+ COM Mpmm3 = qWggm3(pa,pb,p1,p2,p3,pl,plbar,false,true, pa);
+ COM Mpmp1 = qWggm1(pa,pb,p1,p2,p3,pl,plbar,true,true, pa);
+ COM Mpmp2 = qWggm2(pa,pb,p1,p2,p3,pl,plbar,true,true, pa);
+ COM Mpmp3 = qWggm3(pa,pb,p1,p2,p3,pl,plbar,true,true, pa);
+
+ //Colour factors:
+ COM cm1m1,cm2m2,cm3m3,cm1m2,cm1m3,cm2m3;
+ cm1m1=8./3.;
+ cm2m2=8./3.;
+ cm3m3=6.;
+ cm1m2 =-1./3.;
+ cm1m3 = -3.*COM(0.,1.);
+ cm2m3 = 3.*COM(0.,1.);
+
+ //Sqaure and sum for each helicity config:
+ double Mmmm,Mmmp,Mpmm,Mpmp;
+ Mmmm = real(cm1m1*pow(abs(Mmmm1),2)+cm2m2*pow(abs(Mmmm2),2)+cm3m3*pow(abs(Mmmm3),2)+2.*real(cm1m2*Mmmm1*conj(Mmmm2))+2.*real(cm1m3*Mmmm1*conj(Mmmm3))+2.*real(cm2m3*Mmmm2*conj(Mmmm3)));
+ Mmmp = real(cm1m1*pow(abs(Mmmp1),2)+cm2m2*pow(abs(Mmmp2),2)+cm3m3*pow(abs(Mmmp3),2)+2.*real(cm1m2*Mmmp1*conj(Mmmp2))+2.*real(cm1m3*Mmmp1*conj(Mmmp3))+2.*real(cm2m3*Mmmp2*conj(Mmmp3)));
+ Mpmm = real(cm1m1*pow(abs(Mpmm1),2)+cm2m2*pow(abs(Mpmm2),2)+cm3m3*pow(abs(Mpmm3),2)+2.*real(cm1m2*Mpmm1*conj(Mpmm2))+2.*real(cm1m3*Mpmm1*conj(Mpmm3))+2.*real(cm2m3*Mpmm2*conj(Mpmm3)));
+ Mpmp = real(cm1m1*pow(abs(Mpmp1),2)+cm2m2*pow(abs(Mpmp2),2)+cm3m3*pow(abs(Mpmp3),2)+2.*real(cm1m2*Mpmp1*conj(Mpmp2))+2.*real(cm1m3*Mpmp1*conj(Mpmp3))+2.*real(cm2m3*Mpmp2*conj(Mpmp3)));
+
+ return ((Mmmm+Mmmp+Mpmm+Mpmp)/24./4.)/(pa-p1).m2()/(p2+p3-pb).m2();
+}
+
// W+Jets qqxCentral
double jM2WqqtoqQQq(CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector pb,CLHEP::HepLorentzVector pl, CLHEP::HepLorentzVector plbar, std::vector<HLV> partons, bool aqlinepa, bool aqlinepb, bool qqxmarker, int nabove)
{
static bool is_sigma_index_set(false);
if(!is_sigma_index_set){
if(init_sigma_index())
is_sigma_index_set = true;
else
return 0.;}
HLV pq, pqbar, p1, p4;
if (qqxmarker){
pqbar = partons[nabove+1];
pq = partons[nabove+2];}
else{
pq = partons[nabove+1];
pqbar = partons[nabove+2];}
p1 = partons.front();
p4 = partons.back();
Tensor<1,4> T1am, T4bm, T1ap, T4bp;
if(!(aqlinepa)){
T1ap = TCurrent(p1, true, pa, true);
T1am = TCurrent(p1, false, pa, false);}
else if(aqlinepa){
T1ap = TCurrent(pa, true, p1, true);
T1am = TCurrent(pa, false, p1, false);}
if(!(aqlinepb)){
T4bp = TCurrent(p4, true, pb, true);
T4bm = TCurrent(p4, false, pb, false);}
else if(aqlinepb){
T4bp = TCurrent(pb, true, p4, true);
T4bm = TCurrent(pb, false, p4, false);}
// Calculate the 3 separate contributions to the effective vertex
Tensor<2,4> Xunc = MUncrossW(pa, p1, pb, p4, pq, pqbar, pl, plbar, partons, nabove);
Tensor<2,4> Xcro = MCrossW( pa, p1, pb, p4, pq, pqbar, pl, plbar, partons, nabove);
Tensor<2,4> Xsym = MSymW( pa, p1, pb, p4, pq, pqbar, pl, plbar, partons, nabove);
// 4 Different Helicity Choices (Differs from Pure Jet Case, where there is also the choice in qqbar helicity.
// (- - hel choice)
COM M_mmUnc = (((Xunc).contract(T1am,1)).contract(T4bm,1)).at(0);
COM M_mmCro = (((Xcro).contract(T1am,1)).contract(T4bm,1)).at(0);
COM M_mmSym = (((Xsym).contract(T1am,1)).contract(T4bm,1)).at(0);
// (- + hel choice)
COM M_mpUnc = (((Xunc).contract(T1am,1)).contract(T4bp,1)).at(0);
COM M_mpCro = (((Xcro).contract(T1am,1)).contract(T4bp,1)).at(0);
COM M_mpSym = (((Xsym).contract(T1am,1)).contract(T4bp,1)).at(0);
// (+ - hel choice)
COM M_pmUnc = (((Xunc).contract(T1ap,1)).contract(T4bm,1)).at(0);
COM M_pmCro = (((Xcro).contract(T1ap,1)).contract(T4bm,1)).at(0);
COM M_pmSym = (((Xsym).contract(T1ap,1)).contract(T4bm,1)).at(0);
// (+ + hel choice)
COM M_ppUnc = (((Xunc).contract(T1ap,1)).contract(T4bp,1)).at(0);
COM M_ppCro = (((Xcro).contract(T1ap,1)).contract(T4bp,1)).at(0);
COM M_ppSym = (((Xsym).contract(T1ap,1)).contract(T4bp,1)).at(0);
//Colour factors:
COM cmsms,cmumu,cmcmc,cmsmu,cmsmc,cmumc;
cmsms=3.;
cmumu=4./3.;
cmcmc=4./3.;
cmsmu =3./2.*COM(0.,1.);
cmsmc = -3./2.*COM(0.,1.);
cmumc = -1./6.;
// Work Out Interference in each case of helicity:
double amp_mm = real(cmsms*pow(abs(M_mmSym),2)
+cmumu*pow(abs(M_mmUnc),2)
+cmcmc*pow(abs(M_mmCro),2)
+2.*real(cmsmu*M_mmSym*conj(M_mmUnc))
+2.*real(cmsmc*M_mmSym*conj(M_mmCro))
+2.*real(cmumc*M_mmUnc*conj(M_mmCro)));
double amp_mp = real(cmsms*pow(abs(M_mpSym),2)
+cmumu*pow(abs(M_mpUnc),2)
+cmcmc*pow(abs(M_mpCro),2)
+2.*real(cmsmu*M_mpSym*conj(M_mpUnc))
+2.*real(cmsmc*M_mpSym*conj(M_mpCro))
+2.*real(cmumc*M_mpUnc*conj(M_mpCro)));
double amp_pm = real(cmsms*pow(abs(M_pmSym),2)
+cmumu*pow(abs(M_pmUnc),2)
+cmcmc*pow(abs(M_pmCro),2)
+2.*real(cmsmu*M_pmSym*conj(M_pmUnc))
+2.*real(cmsmc*M_pmSym*conj(M_pmCro))
+2.*real(cmumc*M_pmUnc*conj(M_pmCro)));
double amp_pp = real(cmsms*pow(abs(M_ppSym),2)
+cmumu*pow(abs(M_ppUnc),2)
+cmcmc*pow(abs(M_ppCro),2)
+2.*real(cmsmu*M_ppSym*conj(M_ppUnc))
+2.*real(cmsmc*M_ppSym*conj(M_ppCro))
+2.*real(cmumc*M_ppUnc*conj(M_ppCro)));
double amp=((amp_mm+amp_mp+amp_pm+amp_pp)/(9.*4.));
CLHEP::HepLorentzVector q1,q3;
q1=pa;
for(int i=0;i<nabove+1;i++){
q1-=partons.at(i);
}
q3 = q1 - pq - pqbar - pl - plbar;
double t1 = (q1).m2();
double t3 = (q3).m2();
//Divide by t-channels
amp/=(t1*t1*t3*t3);
return amp;
}
// no wqq emission
double jM2WqqtoqQQqW(CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector pb,CLHEP::HepLorentzVector pl,CLHEP::HepLorentzVector plbar, std::vector<CLHEP::HepLorentzVector> partons, bool aqlinepa, bool aqlinepb, bool qqxmarker, int nabove, int nbelow, bool forwards){
static bool is_sigma_index_set(false);
if(!is_sigma_index_set){
if(init_sigma_index())
is_sigma_index_set = true;
else
return 0.;
}
if (!forwards){ //If Emission from Leg a instead, flip process.
HLV dummymom = pa;
bool dummybool= aqlinepa;
int dummyint = nabove;
pa = pb;
pb = dummymom;
std::reverse(partons.begin(),partons.end());
qqxmarker = !(qqxmarker);
aqlinepa = aqlinepb;
aqlinepb = dummybool;
nabove = nbelow;
nbelow = dummyint;
}
HLV pq, pqbar, p1,p4;
if (qqxmarker){
pqbar = partons[nabove+1];
pq = partons[nabove+2];}
else{
pq = partons[nabove+1];
pqbar = partons[nabove+2];}
p1 = partons.front();
p4 = partons.back();
Tensor<1,4> T1am(0.), T1ap(0.);
if(!(aqlinepa)){
T1ap = TCurrent(p1, true, pa, true);
T1am = TCurrent(p1, false, pa, false);}
else if(aqlinepa){
T1ap = TCurrent(pa, true, p1, true);
T1am = TCurrent(pa, false, p1, false);}
Tensor <1,4> T4bm = jW4bEmit(pb, p4, pl, plbar, aqlinepb);
// Calculate the 3 separate contributions to the effective vertex
Tensor<2,4> Xunc_m = MUncross(pa, pq, pqbar,partons, false, nabove);
Tensor<2,4> Xcro_m = MCross( pa, pq, pqbar,partons, false, nabove);
Tensor<2,4> Xsym_m = MSym( pa, p1, pb, p4, pq, pqbar, partons, false, nabove);
Tensor<2,4> Xunc_p = MUncross(pa, pq, pqbar,partons, true, nabove);
Tensor<2,4> Xcro_p = MCross( pa, pq, pqbar,partons, true, nabove);
Tensor<2,4> Xsym_p = MSym( pa, p1, pb, p4, pq, pqbar, partons, true, nabove);
// (- - hel choice)
COM M_mmUnc = (((Xunc_m).contract(T1am,1)).contract(T4bm,1)).at(0);
COM M_mmCro = (((Xcro_m).contract(T1am,1)).contract(T4bm,1)).at(0);
COM M_mmSym = (((Xsym_m).contract(T1am,1)).contract(T4bm,1)).at(0);
// (- + hel choice)
COM M_mpUnc = (((Xunc_p).contract(T1am,1)).contract(T4bm,1)).at(0);
COM M_mpCro = (((Xcro_p).contract(T1am,1)).contract(T4bm,1)).at(0);
COM M_mpSym = (((Xsym_p).contract(T1am,1)).contract(T4bm,1)).at(0);
// (+ - hel choice)
COM M_pmUnc = (((Xunc_m).contract(T1ap,1)).contract(T4bm,1)).at(0);
COM M_pmCro = (((Xcro_m).contract(T1ap,1)).contract(T4bm,1)).at(0);
COM M_pmSym = (((Xsym_m).contract(T1ap,1)).contract(T4bm,1)).at(0);
// (+ + hel choice)
COM M_ppUnc = (((Xunc_p).contract(T1ap,1)).contract(T4bm,1)).at(0);
COM M_ppCro = (((Xcro_p).contract(T1ap,1)).contract(T4bm,1)).at(0);
COM M_ppSym = (((Xsym_p).contract(T1ap,1)).contract(T4bm,1)).at(0);
//Colour factors:
COM cmsms,cmumu,cmcmc,cmsmu,cmsmc,cmumc;
cmsms=3.;
cmumu=4./3.;
cmcmc=4./3.;
cmsmu =3./2.*COM(0.,1.);
cmsmc = -3./2.*COM(0.,1.);
cmumc = -1./6.;
// Work Out Interference in each case of helicity:
double amp_mm = real(cmsms*pow(abs(M_mmSym),2)
+cmumu*pow(abs(M_mmUnc),2)
+cmcmc*pow(abs(M_mmCro),2)
+2.*real(cmsmu*M_mmSym*conj(M_mmUnc))
+2.*real(cmsmc*M_mmSym*conj(M_mmCro))
+2.*real(cmumc*M_mmUnc*conj(M_mmCro)));
double amp_mp = real(cmsms*pow(abs(M_mpSym),2)
+cmumu*pow(abs(M_mpUnc),2)
+cmcmc*pow(abs(M_mpCro),2)
+2.*real(cmsmu*M_mpSym*conj(M_mpUnc))
+2.*real(cmsmc*M_mpSym*conj(M_mpCro))
+2.*real(cmumc*M_mpUnc*conj(M_mpCro)));
double amp_pm = real(cmsms*pow(abs(M_pmSym),2)
+cmumu*pow(abs(M_pmUnc),2)
+cmcmc*pow(abs(M_pmCro),2)
+2.*real(cmsmu*M_pmSym*conj(M_pmUnc))
+2.*real(cmsmc*M_pmSym*conj(M_pmCro))
+2.*real(cmumc*M_pmUnc*conj(M_pmCro)));
double amp_pp = real(cmsms*pow(abs(M_ppSym),2)
+cmumu*pow(abs(M_ppUnc),2)
+cmcmc*pow(abs(M_ppCro),2)
+2.*real(cmsmu*M_ppSym*conj(M_ppUnc))
+2.*real(cmsmc*M_ppSym*conj(M_ppCro))
+2.*real(cmumc*M_ppUnc*conj(M_ppCro)));
double amp=((amp_mm+amp_mp+amp_pm+amp_pp)/(9.*4.));
CLHEP::HepLorentzVector q1,q3;
q1=pa;
for(int i=0;i<nabove+1;i++){
q1-=partons.at(i);
}
q3 = q1 - pq - pqbar;
double t1 = (q1).m2();
double t3 = (q3).m2();
//Divide by t-channels
amp/=(t1*t1*t3*t3);
return amp;
}
diff --git a/src/currents.cc b/src/currents.cc
index 9abcce8..d592be2 100644
--- a/src/currents.cc
+++ b/src/currents.cc
@@ -1,3694 +1,3641 @@
//////////////////////////////////////////////////
//////////////////////////////////////////////////
// This source code is Copyright (2012) of //
// Jeppe R. Andersen and Jennifer M. Smillie //
// and is distributed under the //
// Gnu Public License version 2 //
// http://www.gnu.org/licenses/gpl-2.0.html //
// You are allowed to distribute and alter the //
// source under the conditions of the GPLv2 //
// as long as this copyright notice //
// is unaltered and distributed with the source //
// Any use should comply with the //
// MCNET GUIDELINES //
// for Event Generator Authors and Users //
// as distributed with this source code //
//////////////////////////////////////////////////
//////////////////////////////////////////////////
#include "RHEJ/currents.hh"
//#include "ZJets/Flags.h"
#include "RHEJ/Constants.hh"
#include "RHEJ/utility.hh"
#include "RHEJ/PDG_codes.hh"
const COM looprwfactor = (COM(0.,1.)*M_PI*M_PI)/pow((2.*M_PI),4);
//const double HVE = 246.21845810181637;
#ifdef RHEJ_BUILD_WITH_QCDLOOP
#include "qcdloop/qcdloop.h"
#endif
#include <iostream>
namespace {
// Loop integrals
#ifdef RHEJ_BUILD_WITH_QCDLOOP
COM B0DD(CLHEP::HepLorentzVector q, double mq)
{
static std::vector<std::complex<double>> result(3);
static auto ql_B0 = [](){
ql::Bubble<std::complex<double>,double,double> ql_B0;
ql_B0.setCacheSize(100);
return ql_B0;
}();
static std::vector<double> masses(2);
static std::vector<double> momenta(1);
for(auto & m: masses) m = mq*mq;
momenta.front() = q.m2();
ql_B0.integral(result, 1, masses, momenta);
return result[0];
}
COM C0DD(CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2, double mq)
{
static std::vector<std::complex<double>> result(3);
static auto ql_C0 = [](){
ql::Triangle<std::complex<double>,double,double> ql_C0;
ql_C0.setCacheSize(100);
return ql_C0;
}();
static std::vector<double> masses(3);
static std::vector<double> momenta(3);
for(auto & m: masses) m = mq*mq;
momenta[0] = q1.m2();
momenta[1] = q2.m2();
momenta[2] = (q1+q2).m2();
ql_C0.integral(result, 1, masses, momenta);
return result[0];
}
COM D0DD(CLHEP::HepLorentzVector q1,CLHEP::HepLorentzVector q2, CLHEP::HepLorentzVector q3, double mq)
{
static std::vector<std::complex<double>> result(3);
static auto ql_D0 = [](){
ql::Box<std::complex<double>,double,double> ql_D0;
ql_D0.setCacheSize(100);
return ql_D0;
}();
static std::vector<double> masses(4);
static std::vector<double> momenta(6);
for(auto & m: masses) m = mq*mq;
momenta[0] = q1.m2();
momenta[1] = q2.m2();
momenta[2] = q3.m2();
momenta[3] = (q1+q2+q3).m2();
momenta[4] = (q1+q2).m2();
momenta[5] = (q2+q3).m2();
ql_D0.integral(result, 1, masses, momenta);
return result[0];
}
COM A1(CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2, double mt)
// As given in Eq. (B.2) of VDD
{
double q12,q22,Q2;
CLHEP::HepLorentzVector Q;
double Delta3,mt2;
COM ans(COM(0.,0.));
q12=q1.m2();
q22=q2.m2();
Q=-q1-q2; // Define all momenta ingoing as in appendix of VDD
Q2=Q.m2();
// std::cout<<"Higgs mass? : "<<sqrt(Q2)<<std::endl;
Delta3=q12*q12+q22*q22+Q2*Q2-2*q12*q22-2*q12*Q2-2*q22*Q2;
if (mt < 0.)
std::cerr<<"Problem in A1! mt = "<<mt<<std::endl;
mt2=mt*mt;
ans=looprwfactor*COM(0,-1)*C0DD(q1,q2,mt)*(4.*mt2/Delta3*(Q2-q12-q22)-1.-4.*q12*q22/Delta3-12.*q12*q22*Q2/Delta3/Delta3*(q12+q22-Q2));
ans=ans-looprwfactor*COM(0,-1)*(B0DD(q2,mt)-B0DD(Q,mt))*(2.*q22/Delta3+12.*q12*q22/Delta3/Delta3*(q22-q12+Q2));
ans=ans-looprwfactor*COM(0,-1)*(B0DD(q1,mt)-B0DD(Q,mt))*(2.*q12/Delta3+12.*q12*q22/Delta3/Delta3*(q12-q22+Q2));
ans=ans-2./Delta3/16/M_PI/M_PI*(q12+q22-Q2);
//cout << "q12, q22= "<<q12<<" "<<q22<<" "<<endl;
return ans;
}
COM A2(CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2, double mt)
// As given in Eq. (B.2) of VDD, but with high energy limit
// of invariants taken.
{
double q12,q22,Q2;
CLHEP::HepLorentzVector Q;
double Delta3,mt2;
COM ans(COM(0.,0.));
if (mt < 0.)
std::cerr<<"Problem in A2! mt = "<<mt<<std::endl;
mt2=mt*mt;
q12=q1.m2();
q22=q2.m2();
Q=-q1-q2; // Define all momenta ingoing as in appendix of VDD
Q2=Q.m2();
// std::cout<<"Higgs mass Square? : "<<Q2<<std::endl;
Delta3=q12*q12+q22*q22+Q2*Q2-2*q12*q22-2*q12*Q2-2*q22*Q2;
ans=looprwfactor*COM(0,-1)*C0DD(q1,q2,mt)*(2.*mt2+1./2.*(q12+q22-Q2)+2.*q12*q22*Q2/Delta3);
ans=ans+looprwfactor*COM(0,-1)*(B0DD(q2,mt)-B0DD(Q,mt))*q22*(q22-q12-Q2)/Delta3;
ans=ans+looprwfactor*COM(0,-1)*(B0DD(q1,mt)-B0DD(Q,mt))*q12*(q12-q22-Q2)/Delta3+1./16/M_PI/M_PI;
return ans;
}
#else // no QCDloop
COM A1(CLHEP::HepLorentzVector, CLHEP::HepLorentzVector, double) {
throw std::logic_error{"A1 called without QCDloop support"};
}
COM A2(CLHEP::HepLorentzVector, CLHEP::HepLorentzVector, double) {
throw std::logic_error{"A2 called without QCDloop support"};
}
#endif
void to_current(const CLHEP::HepLorentzVector & q, current & ret){
ret[0]=q.e();
ret[1]=q.x();
ret[2]=q.y();
ret[3]=q.z();
}
constexpr double C_A = 3.;
constexpr double C_F = 4./3.;
using ParticleID = RHEJ::pid::ParticleID;
// Colour acceleration multiplier for gluons see eq. (7) in arXiv:0910.5113
// TODO: this is not a current and should be moved somewhere else
double K_g(double p1minus, double paminus) {
return 1./2.*(p1minus/paminus + paminus/p1minus)*(C_A - 1./C_A) + 1./C_A;
}
double K_g(
CLHEP::HepLorentzVector const & pout,
CLHEP::HepLorentzVector const & pin
) {
if(pin.z() > 0) return K_g(pout.plus(), pin.plus());
return K_g(pout.minus(), pin.minus());
}
} // namespace anonymous
CCurrent CCurrent::operator+(const CCurrent& other)
{
COM result_c0=c0 + other.c0;
COM result_c1=c1 + other.c1;
COM result_c2=c2 + other.c2;
COM result_c3=c3 + other.c3;
return CCurrent(result_c0,result_c1,result_c2,result_c3);
}
CCurrent CCurrent::operator-(const CCurrent& other)
{
COM result_c0=c0 - other.c0;
COM result_c1=c1 - other.c1;
COM result_c2=c2 - other.c2;
COM result_c3=c3 - other.c3;
return CCurrent(result_c0,result_c1,result_c2,result_c3);
}
CCurrent CCurrent::operator*(const double x)
{
COM result_c0=x*CCurrent::c0;
COM result_c1=x*CCurrent::c1;
COM result_c2=x*CCurrent::c2;
COM result_c3=x*CCurrent::c3;
return CCurrent(result_c0,result_c1,result_c2,result_c3);
}
CCurrent CCurrent::operator/(const double x)
{
COM result_c0=CCurrent::c0/x;
COM result_c1=CCurrent::c1/x;
COM result_c2=CCurrent::c2/x;
COM result_c3=CCurrent::c3/x;
return CCurrent(result_c0,result_c1,result_c2,result_c3);
}
CCurrent CCurrent::operator*(const COM x)
{
COM result_c0=x*CCurrent::c0;
COM result_c1=x*CCurrent::c1;
COM result_c2=x*CCurrent::c2;
COM result_c3=x*CCurrent::c3;
return CCurrent(result_c0,result_c1,result_c2,result_c3);
}
CCurrent CCurrent::operator/(const COM x)
{
COM result_c0=(CCurrent::c0)/x;
COM result_c1=(CCurrent::c1)/x;
COM result_c2=(CCurrent::c2)/x;
COM result_c3=(CCurrent::c3)/x;
return CCurrent(result_c0,result_c1,result_c2,result_c3);
}
std::ostream& operator <<(std::ostream& os, const CCurrent& cur)
{
os << "("<<cur.c0<< " ; "<<cur.c1<<" , "<<cur.c2<<" , "<<cur.c3<<")";
return os;
}
CCurrent operator * ( double x, CCurrent& m)
{
return m*x;
}
CCurrent operator * ( COM x, CCurrent& m)
{
return m*x;
}
CCurrent operator / ( double x, CCurrent& m)
{
return m/x;
}
CCurrent operator / ( COM x, CCurrent& m)
{
return m/x;
}
COM CCurrent::dot(CLHEP::HepLorentzVector p1)
{
// Current goes (E,px,py,pz)
// std::cout<<"current = ("<<c0<<","<<c1<<","<<c2<<","<<c3<<")\n";
// Vector goes (px,py,pz,E)
// std::cout<<"vector = ("<<p1[0]<<","<<p1[1]<<","<<p1[2]<<","<<p1[3]<<")\n";
return p1[3]*c0-p1[0]*c1-p1[1]*c2-p1[2]*c3;
}
COM CCurrent::dot(CCurrent p1)
{
return p1.c0*c0-p1.c1*c1-p1.c2*c2-p1.c3*c3;
}
void j (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pin, bool helin,current &cur) {
cur[0]=0.;
cur[1]=0.;
cur[2]=0.;
cur[3]=0.;
double sqpop=sqrt(pout.plus());
double sqpom=sqrt(pout.minus());
COM poperp=pout.x()+COM(0,1)*pout.y();
if (helout!=helin) {
std::cerr<< "void j : Non-matching helicities at line " << __LINE__ << std::endl;
} else if (helout==false) { // negative helicity
if (pin.plus()>pin.minus()) { // if forward
double sqpip=sqrt(pin.plus());
cur[0]=sqpop*sqpip;
cur[1]=sqpom*sqpip*poperp/abs(poperp);
cur[2]=-COM(0,1)*cur[1];
cur[3]=cur[0];
} else { // if backward
double sqpim=sqrt(pin.minus());
cur[0]=-sqpom*sqpim*poperp/abs(poperp);
cur[1]=-sqpim*sqpop;
cur[2]=COM(0,1)*cur[1];
cur[3]=-cur[0];
}
} else { // positive helicity
if (pin.plus()>pin.minus()) { // if forward
double sqpip=sqrt(pin.plus());
cur[0]=sqpop*sqpip;
cur[1]=sqpom*sqpip*conj(poperp)/abs(poperp);
cur[2]=COM(0,1)*cur[1];
cur[3]=cur[0];
} else { // if backward
double sqpim=sqrt(pin.minus());
cur[0]=-sqpom*sqpim*conj(poperp)/abs(poperp);
cur[1]=-sqpim*sqpop;
cur[2]=-COM(0,1)*cur[1];
cur[3]=-cur[0];
}
}
}
CCurrent j (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pin, bool helin)
{
COM cur[4];
cur[0]=0.;
cur[1]=0.;
cur[2]=0.;
cur[3]=0.;
double sqpop=sqrt(pout.plus());
double sqpom=sqrt(pout.minus());
COM poperp=pout.x()+COM(0,1)*pout.y();
if (helout!=helin) {
std::cerr<< "void j : Non-matching helicities\n";
} else if (helout==false) { // negative helicity
if (pin.plus()>pin.minus()) { // if forward
double sqpip=sqrt(pin.plus());
cur[0]=sqpop*sqpip;
cur[1]=sqpom*sqpip*poperp/abs(poperp);
cur[2]=-COM(0,1)*cur[1];
cur[3]=cur[0];
} else { // if backward
double sqpim=sqrt(pin.minus());
cur[0]=-sqpom*sqpim*poperp/abs(poperp);
cur[1]=-sqpim*sqpop;
cur[2]=COM(0,1)*cur[1];
cur[3]=-cur[0];
}
} else { // positive helicity
if (pin.plus()>pin.minus()) { // if forward
double sqpip=sqrt(pin.plus());
cur[0]=sqpop*sqpip;
cur[1]=sqpom*sqpip*conj(poperp)/abs(poperp);
cur[2]=COM(0,1)*cur[1];
cur[3]=cur[0];
} else { // if backward
double sqpim=sqrt(pin.minus());
cur[0]=-sqpom*sqpim*conj(poperp)/abs(poperp);
cur[1]=-sqpim*sqpop;
cur[2]=-COM(0,1)*cur[1];
cur[3]=-cur[0];
}
}
CCurrent temp(cur[0],cur[1],cur[2],cur[3]);
return temp;
}
CCurrent jio (CLHEP::HepLorentzVector pin, bool helin, CLHEP::HepLorentzVector pout, bool helout)
{
COM cur[4];
cur[0]=0.;
cur[1]=0.;
cur[2]=0.;
cur[3]=0.;
double sqpop=sqrt(pout.plus());
double sqpom=sqrt(pout.minus());
COM poperp=pout.x()+COM(0,1)*pout.y();
if (helout!=helin) {
std::cerr<< "void j : Non-matching helicities\n";
} else if (helout==false) { // negative helicity
if (pin.plus()>pin.minus()) { // if forward
double sqpip=sqrt(pin.plus());
cur[0]=sqpop*sqpip;
cur[1]=sqpom*sqpip*conj(poperp)/abs(poperp);
cur[2]=COM(0,1)*cur[1];
cur[3]=cur[0];
} else { // if backward
double sqpim=sqrt(pin.minus());
cur[0]=-sqpom*sqpim*conj(poperp)/abs(poperp);
cur[1]=-sqpim*sqpop;
cur[2]=-COM(0,1)*cur[1];
cur[3]=-cur[0];
}
} else { // positive helicity
if (pin.plus()>pin.minus()) { // if forward
double sqpip=sqrt(pin.plus());
cur[0]=sqpop*sqpip;
cur[1]=sqpom*sqpip*poperp/abs(poperp);
cur[2]=-COM(0,1)*cur[1];
cur[3]=cur[0];
} else { // if backward
double sqpim=sqrt(pin.minus());
cur[0]=-sqpom*sqpim*poperp/abs(poperp);
cur[1]=-sqpim*sqpop;
cur[2]=COM(0,1)*cur[1];
cur[3]=-cur[0];
}
}
CCurrent temp(cur[0],cur[1],cur[2],cur[3]);
return temp;
}
// Current for <incoming state | mu | outgoing state>
void jio(HLV pin, bool helin, HLV pout, bool helout, current &cur) {
cur[0] = 0.0;
cur[1] = 0.0;
cur[2] = 0.0;
cur[3] = 0.0;
if(helin!=helout){
std::cout<<__LINE__<<" "<<__FILE__<<std::endl;
}
double sqpop = sqrt(pout.plus());
double sqpom = sqrt(pout.minus());
COM poperp = pout.x() + COM(0, 1) * pout.y();
if (helout == false) {
if (pin.plus() > pin.minus()) { // if forward
double sqpip=sqrt(pin.plus());
cur[0] = sqpop * sqpip;
cur[1] = sqpom * sqpip * conj(poperp) / abs(poperp);
cur[2] = COM(0,1) * cur[1];
cur[3] = cur[0];
}
else {
double sqpim = sqrt(pin.minus());
cur[0] = -sqpom * sqpim * conj(poperp) / abs(poperp);
cur[1] = -sqpim * sqpop;
cur[2] = -COM(0,1) * cur[1];
cur[3] = -cur[0];
}
}
else {
if (pin.plus() > pin.minus()) { // if forward
double sqpip = sqrt(pin.plus());
cur[0] = sqpop * sqpip;
cur[1] = sqpom * sqpip*poperp/abs(poperp);
cur[2] = -COM(0,1)*cur[1];
cur[3] = cur[0];
}
else {
double sqpim = sqrt(pin.minus());
cur[0] = -sqpom * sqpim * poperp/abs(poperp);
cur[1] = -sqpim * sqpop;
cur[2] = COM(0,1)*cur[1];
cur[3] = -cur[0];
}
}
}
// Current for <outgoing state | mu | outgoing state>
void joo(HLV pi, bool heli, HLV pj, bool helj, current &cur) {
// Zero our current
cur[0] = 0.0;
cur[1] = 0.0;
cur[2] = 0.0;
cur[3] = 0.0;
if(helj){
std::cout<<__LINE__<<" "<<__FILE__<<std::endl;
}
// If positive helicity swap momenta
if (heli == true) {
HLV dummy;
dummy = pi;
pi = pj;
pj = dummy;
}
double sqpjp = sqrt(pj.plus());
double sqpjm = sqrt(pj.minus());
double sqpip = sqrt(pi.plus());
double sqpim = sqrt(pi.minus());
COM piperp = pi.x() + COM(0,1) * pi.y();
COM pjperp = pj.x() + COM(0,1) * pj.y();
COM phasei = piperp / abs(piperp);
COM phasej = pjperp / abs(pjperp);
cur[0] = sqpim * sqpjm * phasei * conj(phasej) + sqpip * sqpjp;
cur[1] = sqpim * sqpjp * phasei + sqpip * sqpjm * conj(phasej);
cur[2] = -COM(0, 1) * (sqpim * sqpjp * phasei - sqpip * sqpjm * conj(phasej));
cur[3] = -sqpim * sqpjm * phasei * conj(phasej) + sqpip * sqpjp;
}
CCurrent joo (CLHEP::HepLorentzVector pi, bool heli, CLHEP::HepLorentzVector pj, bool helj)
{
COM cur[4];
if (heli!=helj) {
std::cerr<< "void j : Non-matching helicities\n";
} else if (heli==true) { // negative helicity
CLHEP::HepLorentzVector dummy;
dummy=pi;
pi=pj;
pj=dummy;
}
double sqpjp=sqrt(pj.plus());
double sqpjm=sqrt(pj.minus());
double sqpip=sqrt(pi.plus());
double sqpim=sqrt(pi.minus());
COM piperp=pi.x()+COM(0,1)*pi.y();
COM pjperp=pj.x()+COM(0,1)*pj.y();
COM phasei=piperp/abs(piperp);
COM phasej=pjperp/abs(pjperp);
cur[0]=sqpim*sqpjm*phasei*conj(phasej)+sqpip*sqpjp;
cur[1]=sqpim*sqpjp*phasei+sqpip*sqpjm*conj(phasej);
cur[2]=-COM(0,1)*(sqpim*sqpjp*phasei-sqpip*sqpjm*conj(phasej));
cur[3]=-sqpim*sqpjm*phasei*conj(phasej)+sqpip*sqpjp;
CCurrent temp(cur[0],cur[1],cur[2],cur[3]);
return temp;
}
// Current Functions
// Current for <outgoing state | mu | incoming state>
void joi(HLV pout, bool helout, HLV pin, bool helin, current &cur) {
cur[0] = 0.0;
cur[1] = 0.0;
cur[2] = 0.0;
cur[3] = 0.0;
if(helin){
std::cout<<__LINE__<<" "<<__FILE__<<std::endl;
}
double sqpop = sqrt(pout.plus());
double sqpom = sqrt(pout.minus());
COM poperp = pout.x() + COM(0, 1) * pout.y();
if (helout == false) {
if (pin.plus() > pin.minus()) { // if forward
double sqpip=sqrt(pin.plus());
cur[0] = sqpop * sqpip;
cur[1] = sqpom * sqpip * poperp/abs(poperp);
cur[2] = -COM(0,1)*cur[1];
cur[3] = cur[0];
}
else {
double sqpim = sqrt(pin.minus());
cur[0] = -sqpom*sqpim*poperp/abs(poperp);
cur[1] = -sqpim*sqpop;
cur[2] = COM(0,1)*cur[1];
cur[3] = -cur[0];
}
}
else {
if (pin.plus() > pin.minus()) { // if forward
double sqpip = sqrt(pin.plus());
cur[0] = sqpop * sqpip;
cur[1] = sqpom * sqpip*conj(poperp)/abs(poperp);
cur[2] = COM(0,1)*cur[1];
cur[3] = cur[0];
}
else {
double sqpim = sqrt(pin.minus());
cur[0] = -sqpom * sqpim * conj(poperp)/abs(poperp);
cur[1] = -sqpim * sqpop;
cur[2] = -COM(0,1)*cur[1];
cur[3] = -cur[0];
}
}
}
namespace {
/// @TODO unused function
// double jM2 (CLHEP::HepLorentzVector p1out, bool hel1out, CLHEP::HepLorentzVector p1in, bool hel1in, CLHEP::HepLorentzVector p2out, bool hel2out, CLHEP::HepLorentzVector p2in, bool hel2in)
// {
// CLHEP::HepLorentzVector q1=p1in-p1out;
// CLHEP::HepLorentzVector q2=-(p2in-p2out);
// current C1,C2;
// j (p1out,hel1out,p1in,hel1in, C1);
// j (p2out,hel2out,p2in,hel2in, C2);
// std::cout << "# From Currents, C1 : ("<<C1[0]<<","<<C1[1]<<","<<C1[2]<<","<<C1[3]<<"\n";
// std::cout << "# From Currents, C2 : ("<<C2[0]<<","<<C2[1]<<","<<C2[2]<<","<<C2[3]<<"\n";
// COM M=cdot(C1,C2);
// return (M*conj(M)).real()/(q1.m2()*q2.m2());
// }
void jW (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pe, bool hele, CLHEP::HepLorentzVector pnu, bool helnu, CLHEP::HepLorentzVector pin, bool helin, current cur)
{
// NOTA BENE: Conventions for W+ --> e+ nu, so that nu is lepton(6), e is anti-lepton(5)
// Need to swap e and nu for events with W- --> e- nubar!
if (helin==helout && hele==helnu) {
CLHEP::HepLorentzVector qa=pout+pe+pnu;
CLHEP::HepLorentzVector qb=pin-pe-pnu;
double ta(qa.m2()),tb(qb.m2());
current t65,vout,vin,temp2,temp3,temp5;
joo(pnu,helnu,pe,hele,t65);
vout[0]=pout.e();
vout[1]=pout.x();
vout[2]=pout.y();
vout[3]=pout.z();
vin[0]=pin.e();
vin[1]=pin.x();
vin[2]=pin.y();
vin[3]=pin.z();
COM brac615=cdot(t65,vout);
COM brac645=cdot(t65,vin);
// prod1565 and prod6465 are zero for Ws (not Zs)!!
// noalias(temp)=prod(trans(CurrentOutOut(pout,helout,pnu,helout)),metric);
joo(pout,helout,pnu,helout,temp2);
// noalias(temp2)=prod(temp,ctemp);
COM prod1665=cdot(temp2,t65);
// noalias(temp)=prod(trans(Current(pe,helin,pin,helin)),metric);
// noalias(temp2)=prod(temp,ctemp);
j(pe,helin,pin,helin,temp3);
COM prod5465=cdot(temp3,t65);
// noalias(temp)=prod(trans(Current(pnu,helin,pin,helin)),metric);
// noalias(temp2)=prod(temp,ctemp);
joo(pout,helout,pe,helout,temp2);
j(pnu,helnu,pin,helin,temp3);
j(pout,helout,pin,helin,temp5);
current term1,term2,term3,sum;
cmult(2.*brac615/ta+2.*brac645/tb,temp5,term1);
cmult(prod1665/ta,temp3,term2);
cmult(-prod5465/tb,temp2,term3);
// cur=((2.*brac615*Current(pout,helout,pin,helin)+prod1565*Current(pe,helin,pin,helin)+prod1665*Current(pnu,helin,pin,helin))/ta + (2.*brac645*Current(pout,helout,pin,helin)-prod5465*CurrentOutOut(pout,helout,pe,helout)-prod6465*CurrentOutOut(pout,helout,pnu,helout))/tb);
// cur=((2.*brac615*temp5+prod1565*temp3+prod1665*temp4)/ta + (2.*brac645*temp5-prod5465*temp1-prod6465*temp2)/tb);
cadd(term1,term2,term3,sum);
// std::cout<<"sum: ("<<sum[0]<<","<<sum[1]<<","<<sum[2]<<","<<sum[3]<<")\n";
cur[0]=sum[0];
cur[1]=sum[1];
cur[2]=sum[2];
cur[3]=sum[3];
}
}
void jWbar (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pe, bool hele, CLHEP::HepLorentzVector pnu, bool helnu, CLHEP::HepLorentzVector pin, bool helin, current cur)
{
// NOTA BENE: Conventions for W+ --> e+ nu, so that nu is lepton(6), e is anti-lepton(5)
// Need to swap e and nu for events with W- --> e- nubar!
if (helin==helout && hele==helnu) {
CLHEP::HepLorentzVector qa=pout+pe+pnu;
CLHEP::HepLorentzVector qb=pin-pe-pnu;
double ta(qa.m2()),tb(qb.m2());
current t65,vout,vin,temp2,temp3,temp5;
joo(pnu,helnu,pe,hele,t65);
vout[0]=pout.e();
vout[1]=pout.x();
vout[2]=pout.y();
vout[3]=pout.z();
vin[0]=pin.e();
vin[1]=pin.x();
vin[2]=pin.y();
vin[3]=pin.z();
COM brac615=cdot(t65,vout);
COM brac645=cdot(t65,vin);
// prod1565 and prod6465 are zero for Ws (not Zs)!!
joo(pe,helout,pout,helout,temp2); // temp2 is <5|alpha|1>
COM prod5165=cdot(temp2,t65);
jio(pin,helin,pnu,helin,temp3); // temp3 is <4|alpha|6>
COM prod4665=cdot(temp3,t65);
joo(pnu,helout,pout,helout,temp2); // temp2 is now <6|mu|1>
jio(pin,helin,pe,helin,temp3); // temp3 is now <4|mu|5>
jio(pin,helin,pout,helout,temp5); // temp5 is <4|mu|1>
current term1,term2,term3,sum;
cmult(-2.*brac615/ta-2.*brac645/tb,temp5,term1);
cmult(-prod5165/ta,temp3,term2);
cmult(prod4665/tb,temp2,term3);
// cur=((2.*brac615*Current(pout,helout,pin,helin)+prod1565*Current(pe,helin,pin,helin)+prod1665*Current(pnu,helin,pin,helin))/ta + (2.*brac645*Current(pout,helout,pin,helin)-prod5465*CurrentOutOut(pout,helout,pe,helout)-prod6465*CurrentOutOut(pout,helout,pnu,helout))/tb);
// cur=((2.*brac615*temp5+prod1565*temp3+prod1665*temp4)/ta + (2.*brac645*temp5-prod5465*temp1-prod6465*temp2)/tb);
cadd(term1,term2,term3,sum);
// std::cout<<"term1: ("<<temp5[0]<<" "<<temp5[1]<<" "<<temp5[2]<<" "<<temp5[3]<<")"<<std::endl;
// std::cout<<"sum: ("<<sum[0]<<","<<sum[1]<<","<<sum[2]<<","<<sum[3]<<")\n";
cur[0]=sum[0];
cur[1]=sum[1];
cur[2]=sum[2];
cur[3]=sum[3];
}
}
} // namespace anonymous
double jMWqQ (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for qQ->qenuQ scattering
// p1: quark (with W emittance)
// p2: Quark
{
current mj1m,mj2p,mj2m;
CLHEP::HepLorentzVector q1=p1in-p1out-pe-pnu;
CLHEP::HepLorentzVector q2=-(p2in-p2out);
jW(p1out,false,pe,false,pnu,false,p1in,false,mj1m);
j(p2out,true,p2in,true,mj2p);
j(p2out,false,p2in,false,mj2m);
- // std::cout<<"jMW1: ("<<mj1m[0]<<","<<mj1m[1]<<","<<mj1m[2]<<","<<mj1m[3]<<")\n";
- // std::cout<<"jMW2: ("<<mj2p[0]<<","<<mj2p[1]<<","<<mj2p[2]<<","<<mj2p[3]<<")\n";
- // std::cout<<"jMW3: ("<<mj2m[0]<<","<<mj2m[1]<<","<<mj2m[2]<<","<<mj2m[3]<<")\n";
-
- // mj1m.mj2p
-
COM Mmp=cdot(mj1m,mj2p);
// mj1m.mj2m
COM Mmm=cdot(mj1m,mj2m);
// sum of spinor strings ||^2
double a2Mmp=abs2(Mmp);
double a2Mmm=abs2(Mmm);
-// // Leave division by colour and Helicity avg until Tree files
+ // Leave division by colour and Helicity avg until Tree files
// Leave multi. of couplings to later
// Multiply by Cf^2
- return (4./3.)*(4./3.)*(a2Mmp+a2Mmm)/(q1.m2()*q2.m2());
+ return C_F*C_F*(a2Mmp+a2Mmm)/(q1.m2()*q2.m2());
}
double jMWqQbar (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for qQ->qenuQ scattering
// p1: quark (with W emittance)
// p2: Quark
{
current mj1m,mj2p,mj2m;
CLHEP::HepLorentzVector q1=p1in-p1out-pe-pnu;
CLHEP::HepLorentzVector q2=-(p2in-p2out);
jW(p1out,false,pe,false,pnu,false,p1in,false,mj1m);
jio(p2in,true,p2out,true,mj2p);
jio(p2in,false,p2out,false,mj2m);
- // std::cout<<"jMW1: ("<<mj1m[0]<<","<<mj1m[1]<<","<<mj1m[2]<<","<<mj1m[3]<<")\n";
- // std::cout<<"jMW2: ("<<mj2p[0]<<","<<mj2p[1]<<","<<mj2p[2]<<","<<mj2p[3]<<")\n";
- // std::cout<<"jMW3: ("<<mj2m[0]<<","<<mj2m[1]<<","<<mj2m[2]<<","<<mj2m[3]<<")\n";
-
- // mj1m.mj2p
-
COM Mmp=cdot(mj1m,mj2p);
// mj1m.mj2m
COM Mmm=cdot(mj1m,mj2m);
// sum of spinor strings ||^2
double a2Mmp=abs2(Mmp);
double a2Mmm=abs2(Mmm);
-// // Leave division by colour and Helicity avg until Tree files
+ // Leave division by colour and Helicity avg until Tree files
// Leave multi. of couplings to later
// Multiply by Cf^2
- return (4./3.)*(4./3.)*(a2Mmp+a2Mmm)/(q1.m2()*q2.m2());
+ return C_F*C_F*(a2Mmp+a2Mmm)/(q1.m2()*q2.m2());
}
double jMWqbarQ (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for qQ->qenuQ scattering
// p1: quark (with W emittance)
// p2: Quark
{
current mj1m,mj2p,mj2m;
CLHEP::HepLorentzVector q1=p1in-p1out-pe-pnu;
CLHEP::HepLorentzVector q2=-(p2in-p2out);
jWbar(p1out,false,pe,false,pnu,false,p1in,false,mj1m);
j(p2out,true,p2in,true,mj2p);
j(p2out,false,p2in,false,mj2m);
- // std::cout<<"jMW1: ("<<mj1m[0]<<","<<mj1m[1]<<","<<mj1m[2]<<","<<mj1m[3]<<")\n";
- // std::cout<<"jMW2: ("<<mj2p[0]<<","<<mj2p[1]<<","<<mj2p[2]<<","<<mj2p[3]<<")\n";
- // std::cout<<"jMW3: ("<<mj2m[0]<<","<<mj2m[1]<<","<<mj2m[2]<<","<<mj2m[3]<<")\n";
-
- // mj1m.mj2p
-
COM Mmp=cdot(mj1m,mj2p);
// mj1m.mj2m
COM Mmm=cdot(mj1m,mj2m);
// sum of spinor strings ||^2
double a2Mmp=abs2(Mmp);
double a2Mmm=abs2(Mmm);
-// // Leave division by colour and Helicity avg until Tree files
+ // Leave division by colour and Helicity avg until Tree files
// Leave multi. of couplings to later
// Multiply by Cf^2
- return (4./3.)*(4./3.)*(a2Mmp+a2Mmm)/(q1.m2()*q2.m2());
+ return C_F*C_F*(a2Mmp+a2Mmm)/(q1.m2()*q2.m2());
}
double jMWqbarQbar (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for qQ->qenuQ scattering
// p1: quark (with W emittance)
// p2: Quark
{
current mj1m,mj2p,mj2m;
CLHEP::HepLorentzVector q1=p1in-p1out-pe-pnu;
CLHEP::HepLorentzVector q2=-(p2in-p2out);
jWbar(p1out,false,pe,false,pnu,false,p1in,false,mj1m);
jio(p2in,true,p2out,true,mj2p);
jio(p2in,false,p2out,false,mj2m);
- // std::cout<<"jMW1: ("<<mj1m[0]<<","<<mj1m[1]<<","<<mj1m[2]<<","<<mj1m[3]<<")\n";
- // std::cout<<"jMW2: ("<<mj2p[0]<<","<<mj2p[1]<<","<<mj2p[2]<<","<<mj2p[3]<<")\n";
- // std::cout<<"jMW3: ("<<mj2m[0]<<","<<mj2m[1]<<","<<mj2m[2]<<","<<mj2m[3]<<")\n";
-
- // mj1m.mj2p
-
COM Mmp=cdot(mj1m,mj2p);
// mj1m.mj2m
COM Mmm=cdot(mj1m,mj2m);
// sum of spinor strings ||^2
double a2Mmp=abs2(Mmp);
double a2Mmm=abs2(Mmm);
-// // Leave division by colour and Helicity avg until Tree files
+ // Leave division by colour and Helicity avg until Tree files
// Leave multi. of couplings to later
// Multiply by Cf^2
- return (4./3.)*(4./3.)*(a2Mmp+a2Mmm)/(q1.m2()*q2.m2());
+ return C_F*C_F*(a2Mmp+a2Mmm)/(q1.m2()*q2.m2());
}
double jMWqg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for qg->qenug scattering
// p1: quark
// p2: gluon
{
CLHEP::HepLorentzVector q1=p1in-p1out-pe-pnu;
CLHEP::HepLorentzVector q2=-(p2in-p2out);
current mj1m,mj2p,mj2m;
jW(p1out,false,pe,false,pnu,false,p1in,false,mj1m);
j(p2out,true,p2in,true,mj2p);
j(p2out,false,p2in,false,mj2m);
// mj1m.mj2p
-
COM Mmp=cdot(mj1m,mj2p);
// mj1m.mj2m
COM Mmm=cdot(mj1m,mj2m);
const double K = K_g(p2out, p2in);
// sum of spinor strings ||^2
double a2Mmp=abs2(Mmp);
double a2Mmm=abs2(Mmm);
double sst = K/C_A*(a2Mmp+a2Mmm);
- // double sstsave=sst;
-// // Leave division by colour and Helicity avg until Tree files
+ // Leave division by colour and Helicity avg until Tree files
// Leave multi. of couplings to later
// Multiply by Cf*Ca=4
- return 4.*sst/(q1.m2()*q2.m2());
+ return C_F*C_A*sst/(q1.m2()*q2.m2());
}
double jMWqbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector pe, CLHEP::HepLorentzVector pnu,CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for qg->qenug scattering
// p1: quark
// p2: gluon
{
CLHEP::HepLorentzVector q1=p1in-p1out-pe-pnu;
CLHEP::HepLorentzVector q2=-(p2in-p2out);
current mj1m,mj2p,mj2m;
jWbar(p1out,false,pe,false,pnu,false,p1in,false,mj1m);
j(p2out,true,p2in,true,mj2p);
j(p2out,false,p2in,false,mj2m);
// mj1m.mj2p
-
COM Mmp=cdot(mj1m,mj2p);
// mj1m.mj2m
COM Mmm=cdot(mj1m,mj2m);
const double K = K_g(p2out, p2in);
// sum of spinor strings ||^2
double a2Mmp=abs2(Mmp);
double a2Mmm=abs2(Mmm);
double sst = K/C_A*(a2Mmp+a2Mmm);
- // double sstsave=sst;
// // Leave division by colour and Helicity avg until Tree files
// Leave multi. of couplings to later
// Multiply by Cf*Ca=4
- return 4.*sst/(q1.m2()*q2.m2());
+ return C_F*C_A*sst/(q1.m2()*q2.m2());
}
double jM2qQ (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
{
// std::cerr<<"Current: "<<p1out<<" "<<p1in<<" "<<p2out<<" "<<p2in<<std::endl;
CLHEP::HepLorentzVector q1=p1in-p1out;
CLHEP::HepLorentzVector q2=-(p2in-p2out);
// std::cerr<<"Current: "<<q1.m2()<<" "<<q2.m2()<<std::endl;
current mj1m,mj1p,mj2m,mj2p;
j(p1out,true,p1in,true,mj1p);
j(p1out,false,p1in,false,mj1m);
j(p2out,true,p2in,true,mj2p);
j(p2out,false,p2in,false,mj2m);
COM Mmp=cdot(mj1m,mj2p);
COM Mmm=cdot(mj1m,mj2m);
COM Mpp=cdot(mj1p,mj2p);
COM Mpm=cdot(mj1p,mj2m);
double sst=abs2(Mmm)+abs2(Mmp)+abs2(Mpp)+abs2(Mpm);
// Multiply by Cf^2
return RHEJ::C_F*RHEJ::C_F*(sst)/(q1.m2()*q2.m2());
}
double jM2qQbar (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
{
CLHEP::HepLorentzVector q1=p1in-p1out;
CLHEP::HepLorentzVector q2=-(p2in-p2out);
current mj1m,mj1p,mj2m,mj2p;
j(p1out,true,p1in,true,mj1p);
j(p1out,false,p1in,false,mj1m);
jio(p2in,true,p2out,true,mj2p);
jio(p2in,false,p2out,false,mj2m);
COM Mmp=cdot(mj1m,mj2p);
COM Mmm=cdot(mj1m,mj2m);
COM Mpp=cdot(mj1p,mj2p);
COM Mpm=cdot(mj1p,mj2m);
double sumsq=abs2(Mmm)+abs2(Mmp)+abs2(Mpp)+abs2(Mpm);
// Multiply by Cf^2
- return (4./3.)*(4./3.)*(sumsq)/(q1.m2()*q2.m2());
+ return C_F*C_F*(sumsq)/(q1.m2()*q2.m2());
}
double jM2qbarQbar (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
{
CLHEP::HepLorentzVector q1=p1in-p1out;
CLHEP::HepLorentzVector q2=-(p2in-p2out);
current mj1m,mj1p,mj2m,mj2p;
jio(p1in,true,p1out,true,mj1p);
jio(p1in,false,p1out,false,mj1m);
jio(p2in,true,p2out,true,mj2p);
jio(p2in,false,p2out,false,mj2m);
COM Mmp=cdot(mj1m,mj2p);
COM Mmm=cdot(mj1m,mj2m);
COM Mpp=cdot(mj1p,mj2p);
COM Mpm=cdot(mj1p,mj2m);
double sumsq=abs2(Mmm)+abs2(Mmp)+abs2(Mpp)+abs2(Mpm);
// Multiply by Cf^2
- return (4./3.)*(4./3.)*(sumsq)/(q1.m2()*q2.m2());
+ return C_F*C_F*(sumsq)/(q1.m2()*q2.m2());
}
double jM2qg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for qg scattering
// p1: quark
// p2: gluon
{
CLHEP::HepLorentzVector q1=p1in-p1out;
CLHEP::HepLorentzVector q2=-(p2in-p2out);
current mj1m,mj1p,mj2m,mj2p;
j(p1out,true,p1in,true,mj1p);
j(p1out,false,p1in,false,mj1m);
j(p2out,true,p2in,true,mj2p);
j(p2out,false,p2in,false,mj2m);
COM Mmp=cdot(mj1m,mj2p);
COM Mmm=cdot(mj1m,mj2m);
COM Mpp=cdot(mj1p,mj2p);
COM Mpm=cdot(mj1p,mj2m);
const double K = K_g(p2out, p2in);
// sum of spinor strings ||^2
double a2Mmp=abs2(Mmp);
double a2Mmm=abs2(Mmm);
double a2Mpp=abs2(Mpp);
double a2Mpm=abs2(Mpm);
double sst = K/C_A*(a2Mpp+a2Mpm+a2Mmp+a2Mmm);
- // double sstsave=sst;
- // std::cout <<"ratio: "<<sst/sstsave<<std::endl;
// Cf*Ca=4
- return 4.*sst/(q1.m2()*q2.m2());
+ return C_F*C_A*sst/(q1.m2()*q2.m2());
}
double jM2qbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for qg scattering
// p1: quark
// p2: gluon
{
CLHEP::HepLorentzVector q1=p1in-p1out;
CLHEP::HepLorentzVector q2=-(p2in-p2out);
current mj1m,mj1p,mj2m,mj2p;
jio(p1in,true,p1out,true,mj1p);
jio(p1in,false,p1out,false,mj1m);
j(p2out,true,p2in,true,mj2p);
j(p2out,false,p2in,false,mj2m);
COM Mmp=cdot(mj1m,mj2p);
COM Mmm=cdot(mj1m,mj2m);
COM Mpp=cdot(mj1p,mj2p);
COM Mpm=cdot(mj1p,mj2m);
const double K = K_g(p2out, p2in);
// sum of spinor strings ||^2
double a2Mmp=abs2(Mmp);
double a2Mmm=abs2(Mmm);
double a2Mpp=abs2(Mpp);
double a2Mpm=abs2(Mpm);
double sst = K/C_A*(a2Mpp+a2Mpm+a2Mmp+a2Mmm);
- // double sstsave=sst;
- // std::cout <<"ratio: "<<sst/sstsave<<std::endl;
// Cf*Ca=4
- return 4.*sst/(q1.m2()*q2.m2());
+ return C_F*C_A*sst/(q1.m2()*q2.m2());
}
double jM2gg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in)
// Calculates the square of the current contractions for gg scattering
// p1: gluon
// p2: gluon
{
CLHEP::HepLorentzVector q1=p1in-p1out;
CLHEP::HepLorentzVector q2=-(p2in-p2out);
current mj1m,mj1p,mj2m,mj2p;
j(p1out,true,p1in,true,mj1p);
j(p1out,false,p1in,false,mj1m);
j(p2out,true,p2in,true,mj2p);
j(p2out,false,p2in,false,mj2m);
COM Mmp=cdot(mj1m,mj2p);
COM Mmm=cdot(mj1m,mj2m);
COM Mpp=cdot(mj1p,mj2p);
COM Mpm=cdot(mj1p,mj2m);
const double K_g1 = K_g(p1out, p1in);
const double K_g2 = K_g(p2out, p2in);
// sum of spinor strings ||^2
double a2Mmp=abs2(Mmp);
double a2Mmm=abs2(Mmm);
double a2Mpp=abs2(Mpp);
double a2Mpm=abs2(Mpm);
double sst = K_g1/C_A*K_g2/C_A*(a2Mpp+a2Mpm+a2Mmp+a2Mmm);
- // double sstsave=sst;
- // std::cout <<"ratio: "<<sst/sstsave<<std::endl;
// Ca*Ca=9
- return 9.*sst/(q1.m2()*q2.m2());
-
+ return C_A*C_A*sst/(q1.m2()*q2.m2());
}
namespace {
- /// @TODO what was this intended to do?
- // double MH2helper(current C1, current C2, current q1, current q2)
- // {
- // COM M;
- // COM temp1,temp2;
- // // First the C1.q2 * C2.q1 - part
- // temp1=cdot(C1,q2);
- // temp2=cdot(C2,q1);
- // M=temp1*temp2;
-
- // // Then the C1.C2 * q1.q2
- // temp1=cdot(C1,C2);
- // temp2=cdot(q1,q2);
- // M-=temp1*temp2;
-
- // return (M*conj(M)).real();
- // }
-
/**
* @brief Higgs vertex contracted with current @param C1 and @param C2
*/
COM cHdot(const current & C1, const current & C2, const current & q1,
const current & q2, double mt, bool incBot, double mb)
{
if (mt == infinity) {
return (cdot(C1,C2)*cdot(q1,q2)-cdot(C1,q2)*cdot(C2,q1))/(6*M_PI*v);
}
else {
CLHEP::HepLorentzVector vq1,vq2;
vq1.set(q1[1].real(),q1[2].real(),q1[3].real(),q1[0].real());
vq2.set(q2[1].real(),q2[2].real(),q2[3].real(),q2[0].real());
// first minus sign obtained because of q1-difference to VDD
// std::cout<<"A1 : " << A1(-vq1,vq2)<<std::endl;
// std::cout<<"A2 : " << A2(-vq1,vq2)<<std::endl;
if(!(incBot))
// Factor is because 4 mt^2 g^2/v A1 -> 16 pi mt^2/v alphas,
// and we divide by a factor 4 at the amp sqaured level later
// which I absorb here (i.e. I divide by 2)
/// @TODO move factor 1/2 from S to |ME|^2 => consistent with general notation
return 8.*M_PI*mt*mt/v*(-cdot(C1,q2)*cdot(C2,q1)*A1(-vq1,vq2,mt)-cdot(C1,C2)*A2(-vq1,vq2,mt));
else
return 8.*M_PI*mt*mt/v*(-cdot(C1,q2)*cdot(C2,q1)*A1(-vq1,vq2,mt)-cdot(C1,C2)*A2(-vq1,vq2,mt))
+ 8.*M_PI*mb*mb/v*(-cdot(C1,q2)*cdot(C2,q1)*A1(-vq1,vq2,mb)-cdot(C1,C2)*A2(-vq1,vq2,mb));
}
}
} // namespace anonymous
double MH2qQ (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in,
CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in,
CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2,
double mt, bool incBot, double mb)
{
// CLHEP::HepLorentzVector q1=p1in-p1out;
// CLHEP::HepLorentzVector q2=-(p2in-p2out);
current j1p,j1m,j2p,j2m, q1v, q2v;
j (p1out,true,p1in,true,j1p);
j (p1out,false,p1in,false,j1m);
j (p2out,true,p2in,true,j2p);
j (p2out,false,p2in,false,j2m);
to_current(q1, q1v);
to_current(q2, q2v);
COM Mmp=cHdot(j1m,j2p,q1v,q2v,mt, incBot, mb);
COM Mmm=cHdot(j1m,j2m,q1v,q2v,mt, incBot, mb);
COM Mpp=cHdot(j1p,j2p,q1v,q2v,mt, incBot, mb);
COM Mpm=cHdot(j1p,j2m,q1v,q2v,mt, incBot, mb);
double sst=abs2(Mmp)+abs2(Mmm)+abs2(Mpp)+abs2(Mpm);
// return (4./3.)*(4./3.)*sst/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
return sst/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
}
double MH2qQbar (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2, double mt, bool incBot, double mb)
{
// CLHEP::HepLorentzVector q1=p1in-p1out;
// CLHEP::HepLorentzVector q2=-(p2in-p2out);
current j1p,j1m,j2p,j2m,q1v,q2v;
j (p1out,true,p1in,true,j1p);
j (p1out,false,p1in,false,j1m);
jio (p2in,true,p2out,true,j2p);
jio (p2in,false,p2out,false,j2m);
to_current(q1, q1v);
to_current(q2, q2v);
COM Mmp=cHdot(j1m,j2p,q1v,q2v,mt, incBot, mb);
COM Mmm=cHdot(j1m,j2m,q1v,q2v,mt, incBot, mb);
COM Mpp=cHdot(j1p,j2p,q1v,q2v,mt, incBot, mb);
COM Mpm=cHdot(j1p,j2m,q1v,q2v,mt, incBot, mb);
double sst=abs2(Mmp)+abs2(Mmm)+abs2(Mpp)+abs2(Mpm);
// return (4./3.)*(4./3.)*sst/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
return sst/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
}
double MH2qbarQ (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2, double mt, bool incBot, double mb)
{
// CLHEP::HepLorentzVector q1=p1in-p1out;
// CLHEP::HepLorentzVector q2=-(p2in-p2out);
current j1p,j1m,j2p,j2m,q1v,q2v;
jio (p1in,true,p1out,true,j1p);
jio (p1in,false,p1out,false,j1m);
j (p2out,true,p2in,true,j2p);
j (p2out,false,p2in,false,j2m);
to_current(q1, q1v);
to_current(q2, q2v);
COM Mmp=cHdot(j1m,j2p,q1v,q2v,mt, incBot, mb);
COM Mmm=cHdot(j1m,j2m,q1v,q2v,mt, incBot, mb);
COM Mpp=cHdot(j1p,j2p,q1v,q2v,mt, incBot, mb);
COM Mpm=cHdot(j1p,j2m,q1v,q2v,mt, incBot, mb);
double sst=abs2(Mmp)+abs2(Mmm)+abs2(Mpp)+abs2(Mpm);
// return (4./3.)*(4./3.)*sst/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
return sst/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
}
double MH2qbarQbar (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2, double mt, bool incBot, double mb)
{
// CLHEP::HepLorentzVector q1=p1in-p1out;
// CLHEP::HepLorentzVector q2=-(p2in-p2out);
current j1p,j1m,j2p,j2m,q1v,q2v;
jio (p1in,true,p1out,true,j1p);
jio (p1in,false,p1out,false,j1m);
jio (p2in,true,p2out,true,j2p);
jio (p2in,false,p2out,false,j2m);
to_current(q1, q1v);
to_current(q2, q2v);
COM Mmp=cHdot(j1m,j2p,q1v,q2v,mt, incBot, mb);
COM Mmm=cHdot(j1m,j2m,q1v,q2v,mt, incBot, mb);
COM Mpp=cHdot(j1p,j2p,q1v,q2v,mt, incBot, mb);
COM Mpm=cHdot(j1p,j2m,q1v,q2v,mt, incBot, mb);
double sst=abs2(Mmp)+abs2(Mmm)+abs2(Mpp)+abs2(Mpm);
// return (4./3.)*(4./3.)*sst/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
return sst/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
}
double MH2qg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2, double mt, bool incBot, double mb)
// q~p1 g~p2 (i.e. ALWAYS p1 for quark, p2 for gluon)
// should be called with q1 meant to be contracted with p2 in first part of vertex
// (i.e. if g is backward, q1 is forward)
{
current j1p,j1m,j2p,j2m,q1v,q2v;
j (p1out,true,p1in,true,j1p);
j (p1out,false,p1in,false,j1m);
j (p2out,true,p2in,true,j2p);
j (p2out,false,p2in,false,j2m);
to_current(q1, q1v);
to_current(q2, q2v);
// First, calculate the non-flipping amplitudes:
COM Mpp=cHdot(j1p,j2p,q1v,q2v,mt, incBot, mb);
COM Mpm=cHdot(j1p,j2m,q1v,q2v,mt, incBot, mb);
COM Mmp=cHdot(j1m,j2p,q1v,q2v,mt, incBot, mb);
COM Mmm=cHdot(j1m,j2m,q1v,q2v,mt, incBot, mb);
//cout << "Bits in MH2qg: " << Mpp << " " << Mpm << " " << Mmp << " " << Mmm << endl;
const double K = K_g(p2out, p2in);
double sst=K/C_A*(abs2(Mmp)+abs2(Mmm)+abs2(Mpp)+abs2(Mpm));
// Cf*Ca=4
// return 4.*sst/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
return sst/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
}
double MH2qbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2, double mt, bool incBot, double mb)
// qbar~p1 g~p2 (i.e. ALWAYS p1 for anti-quark, p2 for gluon)
// should be called with q1 meant to be contracted with p2 in first part of vertex
// (i.e. if g is backward, q1 is forward)
{
current j1p,j1m,j2p,j2m,q1v,q2v;
jio (p1in,true,p1out,true,j1p);
jio (p1in,false,p1out,false,j1m);
j (p2out,true,p2in,true,j2p);
j (p2out,false,p2in,false,j2m);
to_current(q1, q1v);
to_current(q2, q2v);
// First, calculate the non-flipping amplitudes:
COM amp,amm,apm,app;
app=cHdot(j1p,j2p,q1v,q2v,mt, incBot, mb);
apm=cHdot(j1p,j2m,q1v,q2v,mt, incBot, mb);
amp=cHdot(j1m,j2p,q1v,q2v,mt, incBot, mb);
amm=cHdot(j1m,j2m,q1v,q2v,mt, incBot, mb);
double MH2sum = abs2(app)+abs2(amm)+abs2(apm)+abs2(amp);
const double K = K_g(p2out, p2in);
MH2sum*=K/C_A;
// Cf*Ca=4
// return 4.*MH2sum/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
return MH2sum/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
}
double MH2gg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2, double mt, bool incBot, double mb)
// g~p1 g~p2
// should be called with q1 meant to be contracted with p2 in first part of vertex
// (i.e. if g is backward, q1 is forward)
{
current j1p,j1m,j2p,j2m,q1v,q2v;
j (p1out,true,p1in,true,j1p);
j (p1out,false,p1in,false,j1m);
j (p2out,true,p2in,true,j2p);
j (p2out,false,p2in,false,j2m);
to_current(q1, q1v);
to_current(q2, q2v);
// First, calculate the non-flipping amplitudes:
COM amp,amm,apm,app;
app=cHdot(j1p,j2p,q1v,q2v,mt, incBot, mb);
apm=cHdot(j1p,j2m,q1v,q2v,mt, incBot, mb);
amp=cHdot(j1m,j2p,q1v,q2v,mt, incBot, mb);
amm=cHdot(j1m,j2m,q1v,q2v,mt, incBot, mb);
double MH2sum = abs2(app)+abs2(amm)+abs2(apm)+abs2(amp);
const double K_g1 = K_g(p1out, p1in);
const double K_g2 = K_g(p2out, p2in);
MH2sum*=K_g1/C_A*K_g2/C_A;
// Ca*Ca=9
// return 9.*MH2sum/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
return MH2sum/((p1in-p1out).m2()*(p2in-p2out).m2()*q1.m2()*q2.m2());
}
// // Z's stuff
// void jZ(HLV pin, HLV pout, HLV pem, HLV pep, bool HelPartons, bool HelLeptons, current cur) {
// // Init current to zero
// cur[0] = 0.0;
// cur[1] = 0.0;
// cur[2] = 0.0;
// cur[3] = 0.0;
// // Temporary variables
// COM temp;
// current Term_1, Term_2, Term_3, Term_4, J_temp, TempCur1, TempCur2;
// // Momentum of virtual gluons aroun weak boson emission site
// HLV qa = pout + pep + pem;
// HLV qb = pin - pep - pem;
// double ta = qa.m2();
// double tb = qb.m2();
// // Out-Out currents:
// current Em_Ep, Out_Em, Out_Ep;
// // Other currents:
// current Out_In, Em_In, Ep_In;
// joi(pout, HelPartons, pin, HelPartons, Out_In);
// joi(pem, HelLeptons, pin, HelPartons, Em_In);
// joi(pep, HelLeptons, pin, HelPartons, Ep_In);
// joo(pem, HelLeptons, pep, HelLeptons, Em_Ep);
// joo(pout, HelPartons, pem, HelLeptons, Out_Em);
// joo(pout, HelPartons, pep, HelLeptons, Out_Ep);
// if (HelLeptons == HelPartons) {
// temp = 2.0 * cdot(pout, Em_Ep);
// cmult(temp / ta, Out_In, Term_1);
// temp = cdot(Out_Em, Em_Ep);
// cmult(temp / ta , Em_In, Term_2);
// temp = 2.0 * cdot(pin, Em_Ep);
// cmult(temp / tb, Out_In, Term_3);
// temp = -cdot(Ep_In, Em_Ep);
// cmult(temp / tb, Out_Ep, Term_4);
// cadd(Term_1, Term_2, Term_3, Term_4, J_temp);
// cur[0] = J_temp[0];
// cur[1] = J_temp[1];
// cur[2] = J_temp[2];
// cur[3] = J_temp[3];
// }
// else {
// if (HelPartons == true) {
// temp = 2.0 * cdot(pout, Em_Ep);
// cmult(temp / ta, Out_In, Term_1);
// joo(pout, true, pep, true, TempCur1);
// joi(pep, true, pin, true, TempCur2);
// temp = cdot(TempCur1, Em_Ep);
// cmult(temp / ta , TempCur2, Term_2);
// temp = 2.0 * cdot(pin, Em_Ep);
// cmult(temp / tb, Out_In, Term_3);
// joo(pout, true, pem, true, TempCur1);
// joi(pem, true, pin, true, TempCur2);
// temp = -cdot(TempCur2, Em_Ep);
// cmult(temp / tb, TempCur1, Term_4);
// cadd(Term_1, Term_2, Term_3, Term_4, J_temp);
// cur[0] = J_temp[0];
// cur[1] = J_temp[1];
// cur[2] = J_temp[2];
// cur[3] = J_temp[3];
// }
// else {
// temp = 2.0 * cdot(pout, Em_Ep);
// cmult(temp / ta, Out_In, Term_1);
// joo(pout, false, pep, false, TempCur1);
// joi(pep, false, pin, false, TempCur2);
// temp = cdot(TempCur1, Em_Ep);
// cmult(temp / ta, TempCur2, Term_2);
// temp = 2.0 * cdot(pin, Em_Ep);
// cmult(temp / tb, Out_In, Term_3);
// joo(pout, false, pem, false, TempCur1);
// joi(pem, false, pin, false, TempCur2);
// temp = -cdot(TempCur2, Em_Ep);
// cmult(temp / tb, TempCur1, Term_4);
// cadd(Term_1, Term_2, Term_3, Term_4, J_temp);
// cur[0] = J_temp[0];
// cur[1] = J_temp[1];
// cur[2] = J_temp[2];
// cur[3] = J_temp[3];
// }
// }
// }
// void jZbar(HLV pin, HLV pout, HLV pem, HLV pep, bool HelPartons, bool HelLeptons, current cur) {
// // Init current to zero
// cur[0] = 0.0;
// cur[1] = 0.0;
// cur[2] = 0.0;
// cur[3] = 0.0;
// // Temporary variables
// COM temp;
// current Term_1, Term_2, Term_3, Term_4, J_temp, TempCur1, TempCur2;
// // Transfered 4-momenta
// HLV qa = pout + pep + pem;
// HLV qb = pin - pep - pem;
// // The square of the transfered 4-momenta
// double ta = qa.m2();
// double tb = qb.m2();
// // Out-Out currents:
// current Em_Ep, Em_Out, Ep_Out;
// // In-Out currents:
// current In_Out, In_Em, In_Ep;
// // Safe to use the currents since helicity structure is ok
// if (HelPartons == HelLeptons) {
// jio(pin, HelPartons, pout, HelPartons, In_Out);
// joo(pem, HelLeptons, pep, HelLeptons, Em_Ep);
// jio(pin, HelPartons, pem, HelLeptons, In_Em);
// jio(pin, HelPartons, pep, HelLeptons, In_Ep);
// joo(pem, HelLeptons, pout, HelPartons, Em_Out);
// joo(pep, HelLeptons, pout, HelPartons, Ep_Out);
// }
// else {
// jio(pin, HelPartons, pout, HelPartons, In_Out);
// joo(pem, HelLeptons, pep, HelLeptons, Em_Ep);
// In_Em[0] = 0.0;
// In_Em[1] = 0.0;
// In_Em[2] = 0.0;
// In_Em[3] = 0.0;
// In_Ep[0] = 0.0;
// In_Ep[1] = 0.0;
// In_Ep[2] = 0.0;
// In_Ep[3] = 0.0;
// Em_Out[0] = 0.0;
// Em_Out[1] = 0.0;
// Em_Out[2] = 0.0;
// Em_Out[3] = 0.0;
// Ep_Out[0] = 0.0;
// Ep_Out[1] = 0.0;
// Ep_Out[2] = 0.0;
// Ep_Out[3] = 0.0;
// }
// if (HelLeptons == HelPartons) {
// temp = 2.0 * cdot(pout, Em_Ep);
// cmult(temp / ta, In_Out, Term_1);
// temp = cdot(Ep_Out, Em_Ep);
// cmult(temp / ta, In_Ep, Term_2);
// temp = 2.0 * cdot(pin, Em_Ep);
// cmult(temp / tb, In_Out, Term_3);
// temp = - cdot(In_Em, Em_Ep);
// cmult(temp / tb, Em_Out, Term_4);
// cadd(Term_1, Term_2, Term_3, Term_4, J_temp);
// cur[0] = J_temp[0];
// cur[1] = J_temp[1];
// cur[2] = J_temp[2];
// cur[3] = J_temp[3];
// }
// else {
// if (HelPartons == true) {
// temp = 2.0 * cdot(pout, Em_Ep);
// cmult(temp / ta, In_Out, Term_1);
// joo(pem, true, pout, true, TempCur1);
// jio(pin, true, pem, true, TempCur2);
// temp = cdot(TempCur1, Em_Ep);
// cmult(temp / ta , TempCur2, Term_2);
// temp = 2.0 * cdot(pin, Em_Ep);
// cmult(temp / tb, In_Out, Term_3);
// joo(pep, true, pout, true, TempCur1);
// jio(pin, true, pep, true, TempCur2);
// temp = - cdot(TempCur2, Em_Ep);
// cmult(temp / tb, TempCur1, Term_4);
// cadd(Term_1, Term_2, Term_3, Term_4, J_temp);
// cur[0] = J_temp[0];
// cur[1] = J_temp[1];
// cur[2] = J_temp[2];
// cur[3] = J_temp[3];
// }
// else {
// temp = 2.0 * cdot(pout, Em_Ep);
// cmult(temp / ta, In_Out, Term_1);
// joo(pem, false, pout, false, TempCur1);
// jio(pin, false, pem, false, TempCur2);
// temp = cdot(TempCur1, Em_Ep);
// cmult(temp / ta , TempCur2, Term_2);
// temp = 2.0 * cdot(pin, Em_Ep);
// cmult(temp / tb, In_Out, Term_3);
// joo(pep, false, pout, false, TempCur1);
// jio(pin, false, pep, false, TempCur2);
// temp = - cdot(TempCur2, Em_Ep);
// cmult(temp / tb, TempCur1, Term_4);
// cadd(Term_1, Term_2, Term_3, Term_4, J_temp);
// cur[0] = J_temp[0];
// cur[1] = J_temp[1];
// cur[2] = J_temp[2];
// cur[3] = J_temp[3];
// }
// }
// }
// // Progagators
// COM PZ(double s) {
// double MZ, GammaZ;
// MZ = 9.118800e+01; // Mass of the mediating gauge boson
// GammaZ = 2.441404e+00; // Z peak width
// // Return Z Prop value
// return 1.0 / (s - MZ * MZ + COM(0.0, 1.0) * GammaZ * MZ);
// }
// COM PG(double s) {
// return 1.0 / s;
// }
// // Non-gluonic with pa emitting
// std::vector <double> jMZqQ (HLV pa, HLV pb, HLV p1, HLV p2, HLV pep, HLV pem, std::vector <double> VProducts, std::vector < std::vector <double> > Virtuals, int aptype, int bptype, bool UseVirtuals, bool BottomLineEmit) {
// std::vector <double> ScaledWeights;
// double Sum;
// // Propagator factors
// COM PZs = PZ((pep + pem).m2());
// COM PGs = PG((pep + pem).m2());
// // Emitting current initialisation
// current j1pptop, j1pmtop; // Emission from top line
// current j1ppbot, j1pmbot; // Emission from bottom line
// // Non-emitting current initialisation
// current j2ptop, j2mtop; // Emission from top line
// current j2pbot, j2mbot; // Emission from bottom line
// // Currents for top emission
// // Upper current calculations
// // if a is a quark
// if (aptype > 0) {
// jZ(pa, p1, pem, pep, true, true, j1pptop);
// jZ(pa, p1, pem, pep, true, false, j1pmtop);
// }
// // if a is an antiquark
// else {
// jZbar(pa, p1, pem, pep, true, true, j1pptop);
// jZbar(pa, p1, pem, pep, true, false, j1pmtop);
// }
// // Lower current calculations
// // if b is a quark
// if (bptype > 0) {
// joi(p2, true, pb, true, j2ptop);
// joi(p2, false, pb, false, j2mtop);
// }
// // if b is an antiquark
// else {
// jio(pb, true, p2, true, j2ptop);
// jio(pb, false, p2, false, j2mtop);
// }
// // Currents for bottom emission
// // Lower current calculations
// if (bptype > 0) {
// jZ(pb, p2, pem, pep, true, true, j1ppbot);
// jZ(pb, p2, pem, pep, true, false, j1pmbot);
// }
// else {
// jZbar(pb, p2, pem, pep, true, true, j1ppbot);
// jZbar(pb, p2, pem, pep, true, false, j1pmbot);
// }
// // Upper current calculations
// if (aptype > 0) {
// joi(p1, true, pa, true, j2pbot);
// joi(p1, false, pa, false, j2mbot);
// }
// else {
// jio(pa, true, p1, true, j2pbot);
// jio(pa, false, p1, false, j2mbot);
// }
// COM Coeff[2][8];
// if (!Interference) {
// double ZCharge_a_P = Zq(aptype, true);
// double ZCharge_a_M = Zq(aptype, false);
// double ZCharge_b_P = Zq(bptype, true);
// double ZCharge_b_M = Zq(bptype, false);
// if (BottomLineEmit) {
// // Emission from top-line quark (pa/p1 line)
// Coeff[0][0] = (ZCharge_a_P * Zep * PZs * RWeak + Gq(aptype) * PGs) * cdot(j1pptop, j2ptop);
// Coeff[0][1] = (ZCharge_a_P * Zep * PZs * RWeak + Gq(aptype) * PGs) * cdot(j1pptop, j2mtop);
// Coeff[0][2] = (ZCharge_a_P * Zem * PZs * RWeak + Gq(aptype) * PGs) * cdot(j1pmtop, j2ptop);
// Coeff[0][3] = (ZCharge_a_P * Zem * PZs * RWeak + Gq(aptype) * PGs) * cdot(j1pmtop, j2mtop);
// Coeff[0][4] = (ZCharge_a_M * Zem * PZs * RWeak + Gq(aptype) * PGs) * conj(cdot(j1pptop, j2ptop));
// Coeff[0][5] = (ZCharge_a_M * Zem * PZs * RWeak + Gq(aptype) * PGs) * conj(cdot(j1pptop, j2mtop));
// Coeff[0][6] = (ZCharge_a_M * Zep * PZs * RWeak + Gq(aptype) * PGs) * conj(cdot(j1pmtop, j2ptop));
// Coeff[0][7] = (ZCharge_a_M * Zep * PZs * RWeak + Gq(aptype) * PGs) * conj(cdot(j1pmtop, j2mtop));
// }
// else {
// // Emission from bottom-line quark (pb/p2 line)
// Coeff[1][0] = (ZCharge_b_P * Zep * PZs * RWeak + Gq(bptype) * PGs) * cdot(j1ppbot, j2pbot);
// Coeff[1][7] = (ZCharge_b_P * Zep * PZs * RWeak + Gq(bptype) * PGs) * cdot(j1ppbot, j2mbot);
// Coeff[1][2] = (ZCharge_b_P * Zem * PZs * RWeak + Gq(bptype) * PGs) * cdot(j1pmbot, j2pbot);
// Coeff[1][5] = (ZCharge_b_P * Zem * PZs * RWeak + Gq(bptype) * PGs) * cdot(j1pmbot, j2mbot);
// Coeff[1][4] = (ZCharge_b_M * Zem * PZs * RWeak + Gq(bptype) * PGs) * conj(cdot(j1ppbot, j2pbot));
// Coeff[1][3] = (ZCharge_b_M * Zem * PZs * RWeak + Gq(bptype) * PGs) * conj(cdot(j1ppbot, j2mbot));
// Coeff[1][6] = (ZCharge_b_M * Zep * PZs * RWeak + Gq(bptype) * PGs) * conj(cdot(j1pmbot, j2pbot));
// Coeff[1][1] = (ZCharge_b_M * Zep * PZs * RWeak + Gq(bptype) * PGs) * conj(cdot(j1pmbot, j2mbot));
// }
// }
// // Else calculate all the possiblities
// else {
// double ZCharge_a_P = Zq(aptype, true);
// double ZCharge_a_M = Zq(aptype, false);
// double ZCharge_b_P = Zq(bptype, true);
// double ZCharge_b_M = Zq(bptype, false);
// // Emission from top-line quark (pa/p1 line)
// Coeff[0][0] = (ZCharge_a_P * Zep * PZs * RWeak + Gq(aptype) * PGs) * cdot(j1pptop, j2ptop);
// Coeff[0][1] = (ZCharge_a_P * Zep * PZs * RWeak + Gq(aptype) * PGs) * cdot(j1pptop, j2mtop);
// Coeff[0][2] = (ZCharge_a_P * Zem * PZs * RWeak + Gq(aptype) * PGs) * cdot(j1pmtop, j2ptop);
// Coeff[0][3] = (ZCharge_a_P * Zem * PZs * RWeak + Gq(aptype) * PGs) * cdot(j1pmtop, j2mtop);
// Coeff[0][4] = (ZCharge_a_M * Zem * PZs * RWeak + Gq(aptype) * PGs) * conj(cdot(j1pptop, j2ptop));
// Coeff[0][5] = (ZCharge_a_M * Zem * PZs * RWeak + Gq(aptype) * PGs) * conj(cdot(j1pptop, j2mtop));
// Coeff[0][6] = (ZCharge_a_M * Zep * PZs * RWeak + Gq(aptype) * PGs) * conj(cdot(j1pmtop, j2ptop));
// Coeff[0][7] = (ZCharge_a_M * Zep * PZs * RWeak + Gq(aptype) * PGs) * conj(cdot(j1pmtop, j2mtop));
// // Emission from bottom-line quark (pb/p2 line)
// Coeff[1][0] = (ZCharge_b_P * Zep * PZs * RWeak + Gq(bptype) * PGs) * cdot(j1ppbot, j2pbot);
// Coeff[1][7] = (ZCharge_b_P * Zep * PZs * RWeak + Gq(bptype) * PGs) * cdot(j1ppbot, j2mbot);
// Coeff[1][2] = (ZCharge_b_P * Zem * PZs * RWeak + Gq(bptype) * PGs) * cdot(j1pmbot, j2pbot);
// Coeff[1][5] = (ZCharge_b_P * Zem * PZs * RWeak + Gq(bptype) * PGs) * cdot(j1pmbot, j2mbot);
// Coeff[1][4] = (ZCharge_b_M * Zem * PZs * RWeak + Gq(bptype) * PGs) * conj(cdot(j1ppbot, j2pbot));
// Coeff[1][3] = (ZCharge_b_M * Zem * PZs * RWeak + Gq(bptype) * PGs) * conj(cdot(j1ppbot, j2mbot));
// Coeff[1][6] = (ZCharge_b_M * Zep * PZs * RWeak + Gq(bptype) * PGs) * conj(cdot(j1pmbot, j2pbot));
// Coeff[1][1] = (ZCharge_b_M * Zep * PZs * RWeak + Gq(bptype) * PGs) * conj(cdot(j1pmbot, j2mbot));
// }
// // Find the numbers of scales
// int ScaleCount;
// #if calcscaleunc
// ScaleCount = 20;
// #else
// ScaleCount = 1;
// #endif
// // For each scale...
// for (int j = 0; j < ScaleCount; j++) {
// Sum = 0.0;
// // If we want to compare back to the W's code only emit from one quark and only couple to left handed particles
// // virtuals arent here since they are calculated and included in weight() call.
// if (!Interference) {
// if (BottomLineEmit) for (int i = 0; i < 8; i++) Sum += abs2(Coeff[1][i]) * VProducts.at(1);
// else for (int i = 0; i < 8; i++) Sum += abs2(Coeff[0][i]) * VProducts.at(0);
// }
// // Else work out the full interference
// else {
// // For the full calculation...
// if (UseVirtuals) {
// for (int i = 0; i < 8; i++) {
// Sum += abs2(Coeff[0][i]) * VProducts.at(0) * Virtuals.at(j).at(0)
// + abs2(Coeff[1][i]) * VProducts.at(1) * Virtuals.at(j).at(1)
// + 2.0 * real(Coeff[0][i] * conj(Coeff[1][i])) * VProducts.at(2) * Virtuals.at(j).at(2);
// }
// }
// // For the tree level calculation...
// else {
// for (int i = 0; i < 8; i++) {
// Sum += abs2(Coeff[0][i]) * VProducts.at(0)
// + abs2(Coeff[1][i]) * VProducts.at(1)
// + 2.0 * real(Coeff[0][i] * conj(Coeff[1][i])) * VProducts.at(2);
// }
// }
// }
// // Add this to the vector to be returned with the other factors of C_A and the helicity sum/average factors.
// ScaledWeights.push_back(Sum / 18.0);
// }
// // Return all the scale values
// return ScaledWeights;
// }
// // Semi-gluonic with pa emitting
// std::vector <double> jMZqg (HLV pa, HLV pb, HLV p1, HLV p2, HLV pep, HLV pem, std::vector <double> VProducts, std::vector < std::vector <double> > Virtuals, int aptype, int bptype, bool UseVirtuals, bool BottomLineEmit) {
// COM Coeff[8];
// double Sum;
// std::vector <double> ScaledWeights;
// COM PZs = PZ((pep + pem).m2());
// COM PGs = PG((pep + pem).m2());
// // Emitting current initialisation - Emission from top line
// current j1pptop, j1pmtop;
// // Non-emitting current initialisation - Emission from top line
// current j2ptop, j2mtop;
// // Currents for top emission
// // Upper current calculations
// if (aptype > 0) {
// jZ (pa, p1, pem, pep, true, true, j1pptop);
// jZ (pa, p1, pem, pep, true, false, j1pmtop);
// }
// else {
// jZbar(pa, p1, pem, pep, true, true, j1pptop);
// jZbar(pa, p1, pem, pep, true, false, j1pmtop);
// }
// // Lower current calculations
// joi(p2, true, pb, true, j2ptop);
// joi(p2, false, pb, false, j2mtop);
// // Calculate all the possiblities
// double ZCharge_a_P = Zq(aptype, true);
// double ZCharge_a_M = Zq(aptype, false);
// // Emission from top-line quark (pa/p1 line)
// Coeff[0] = (ZCharge_a_P * Zep * PZs * RWeak + Gq(aptype) * PGs) * cdot(j1pptop, j2ptop);
// Coeff[1] = (ZCharge_a_P * Zep * PZs * RWeak + Gq(aptype) * PGs) * cdot(j1pptop, j2mtop);
// Coeff[2] = (ZCharge_a_P * Zem * PZs * RWeak + Gq(aptype) * PGs) * cdot(j1pmtop, j2ptop);
// Coeff[3] = (ZCharge_a_P * Zem * PZs * RWeak + Gq(aptype) * PGs) * cdot(j1pmtop, j2mtop);
// Coeff[4] = (ZCharge_a_M * Zem * PZs * RWeak + Gq(aptype) * PGs) * conj(cdot(j1pptop, j2ptop));
// Coeff[5] = (ZCharge_a_M * Zem * PZs * RWeak + Gq(aptype) * PGs) * conj(cdot(j1pptop, j2mtop));
// Coeff[6] = (ZCharge_a_M * Zep * PZs * RWeak + Gq(aptype) * PGs) * conj(cdot(j1pmtop, j2ptop));
// Coeff[7] = (ZCharge_a_M * Zep * PZs * RWeak + Gq(aptype) * PGs) * conj(cdot(j1pmtop, j2mtop));
// // Calculate gluon colour accelerated factor
// double CAMFactor, z;
// // If b is a forward moving gluon define z (C.F. multiple jets papers)
// if (pb.pz() > 0) z = p2.plus() / pb.plus();
// else z = p2.minus() / pb.minus();
// CAMFactor = (1.0 - 1.0 / 9.0) / 2.0 * (z + 1.0 / z) + 1.0 / 9.0;
// // Find the numbers of scales
// int ScaleCount;
// #if calcscaleunc
// ScaleCount = 20;
// #else
// ScaleCount = 1;
// #endif
// // For each scale...
// for (int j = 0; j < ScaleCount; j++) {
// Sum = 0.0;
// // If we dont want the interference
// if (!Interference) for (int i = 0; i < 8; i++) Sum += abs2(Coeff[i]) * VProducts.at(0);
// // Else work out the full interference
// else {
// if (UseVirtuals) {
// for (int i = 0; i < 8; i++) Sum += abs2(Coeff[i]) * VProducts.at(0) * Virtuals.at(j).at(0);
// }
// else {
// for (int i = 0; i < 8; i++) Sum += abs2(Coeff[i]) * VProducts.at(0);
// }
// }
// // Add this to the vector to be returned with the other factors of C_A, the colour accelerated factor and the helicity sum/average factors.: (4/3)*3/32
// ScaledWeights.push_back(CAMFactor * Sum / 8.0);
// }
// return ScaledWeights;
// }
// // Electroweak Charge Functions
// double Zq (int PID, bool Helcitiy) {
// double temp;
// // Positive Spin
// if (Helcitiy == true) {
// if (PID == 1 || PID == 3 || PID == 5) temp = (+ 1.0 * stw2 / 3.0) / ctw;
// if (PID == 2 || PID == 4) temp = (- 2.0 * stw2 / 3.0) / ctw;
// if (PID == -1 || PID == -3 || PID == -5) temp = (- 1.0 * stw2 / 3.0) / ctw;
// if (PID == -2 || PID == -4) temp = (+ 2.0 * stw2 / 3.0) / ctw;
// // If electron or positron
// if (PID == 7 || PID == -7) temp = Zep;
// }
// // Negative Spin
// else {
// if (PID == 1 || PID == 3 || PID == 5) temp = (-0.5 + 1.0 * stw2 / 3.0) / ctw;
// if (PID == 2 || PID == 4) temp = ( 0.5 - 2.0 * stw2 / 3.0) / ctw;
// if (PID == -1 || PID == -3 || PID == -5) temp = ( 0.5 - 1.0 * stw2 / 3.0) / ctw;
// if (PID == -2 || PID == -4) temp = (-0.5 + 2.0 * stw2 / 3.0) / ctw;
// // If electron or positron
// if (PID == 7 || PID == -7) temp = Zem;
// }
// return temp;
// }
// double Gq (int PID) {
// if (!VirtualPhoton) return 0.0;
// if (PID == -1) return 1.0 * ee / 3.0;
// if (PID == -2) return -2.0 * ee / 3.0;
// if (PID == -3) return 1.0 * ee / 3.0;
// if (PID == -4) return -2.0 * ee / 3.0;
// if (PID == -5) return 1.0 * ee / 3.0;
// if (PID == 1) return -1.0 * ee / 3.0;
// if (PID == 2) return 2.0 * ee / 3.0;
// if (PID == 3) return -1.0 * ee / 3.0;
// if (PID == 4) return 2.0 * ee / 3.0;
// if (PID == 5) return -1.0 * ee / 3.0;
// std::cout << "ERROR! No Electroweak Charge Found at line " << __LINE__ << "..." << std::endl;
// return 0.0;
// }
namespace {
//@{
/// @brief Higgs vertex contracted with one current
CCurrent jH (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pin,
bool helin, CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2,
double mt, bool incBot, double mb)
{
CCurrent j2 = j(pout,helout,pin,helin);
CCurrent jq2(q2.e(),q2.px(),q2.py(),q2.pz());
if(mt == infinity)
return ((q1.dot(q2))*j2 - j2.dot(q1)*jq2)/(3*M_PI*v);
else
{
if(incBot)
return (-16.*M_PI*mb*mb/v*j2.dot(q1)*jq2*A1(-q1,q2,mb)-16.*M_PI*mb*mb/v*j2*A2(-q1,q2,mb))
+ (-16.*M_PI*mt*mt/v*j2.dot(q1)*jq2*A1(-q1,q2,mt)-16.*M_PI*mt*mt/v*j2*A2(-q1,q2,mt));
else
return (-16.*M_PI*mt*mt/v*j2.dot(q1)*jq2*A1(-q1,q2,mt)-16.*M_PI*mt*mt/v*j2*A2(-q1,q2,mt));
}
}
CCurrent jioH (CLHEP::HepLorentzVector pin, bool helin, CLHEP::HepLorentzVector pout,
bool helout, CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2,
double mt, bool incBot, double mb)
{
CCurrent j2 = jio(pin,helin,pout,helout);
CCurrent jq2(q2.e(),q2.px(),q2.py(),q2.pz());
if(mt == infinity)
return ((q1.dot(q2))*j2 - j2.dot(q1)*jq2)/(3*M_PI*v);
else
{
if(incBot)
return (-16.*M_PI*mb*mb/v*j2.dot(q1)*jq2*A1(-q1,q2,mb)-16.*M_PI*mb*mb/v*j2*A2(-q1,q2,mb))
+ (-16.*M_PI*mt*mt/v*j2.dot(q1)*jq2*A1(-q1,q2,mt)-16.*M_PI*mt*mt/v*j2*A2(-q1,q2,mt));
else
return (-16.*M_PI*mt*mt/v*j2.dot(q1)*jq2*A1(-q1,q2,mt)-16.*M_PI*mt*mt/v*j2*A2(-q1,q2,mt));
}
}
CCurrent jHtop (CLHEP::HepLorentzVector pout, bool helout, CLHEP::HepLorentzVector pin,
bool helin, CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2,
double mt, bool incBot, double mb)
{
CCurrent j1 = j(pout,helout,pin,helin);
CCurrent jq1(q1.e(),q1.px(),q1.py(),q1.pz());
if(mt == infinity)
return ((q1.dot(q2))*j1 - j1.dot(q2)*jq1)/(3*M_PI*v);
else
{
if(incBot)
return (-16.*M_PI*mb*mb/v*j1.dot(q2)*jq1*A1(-q1,q2,mb)-16.*M_PI*mb*mb/v*j1*A2(-q1,q2,mb))
+ (-16.*M_PI*mt*mt/v*j1.dot(q2)*jq1*A1(-q1,q2,mt)-16.*M_PI*mt*mt/v*j1*A2(-q1,q2,mt));
else
return (-16.*M_PI*mt*mt/v*j1.dot(q2)*jq1*A1(-q1,q2,mt)-16.*M_PI*mt*mt/v*j1*A2(-q1,q2,mt));
}
}
CCurrent jioHtop (CLHEP::HepLorentzVector pin, bool helin, CLHEP::HepLorentzVector pout,
bool helout, CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2,
double mt, bool incBot, double mb)
{
CCurrent j1 = jio(pin,helin,pout,helout);
CCurrent jq1(q1.e(),q1.px(),q1.py(),q1.pz());
if(mt == infinity)
return ((q1.dot(q2))*j1 - j1.dot(q2)*jq1)/(3*M_PI*v);
else
{
if(incBot)
return (-16.*M_PI*mb*mb/v*j1.dot(q2)*jq1*A1(-q1,q2,mb)-16.*M_PI*mb*mb/v*j1*A2(-q1,q2,mb))
+ (-16.*M_PI*mt*mt/v*j1.dot(q2)*jq1*A1(-q1,q2,mt)-16.*M_PI*mt*mt/v*j1*A2(-q1,q2,mt));
else
return (-16.*M_PI*mt*mt/v*j1.dot(q2)*jq1*A1(-q1,q2,mt)-16.*M_PI*mt*mt/v*j1*A2(-q1,q2,mt));
}
}
//@}
} // namespace anonymous
double jM2unogqHQ (CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1, CLHEP::HepLorentzVector qH2, double mt, bool incBot, double mb)
{
// This construction is taking rapidity order: pg > p1out >> p2out
// std::cerr<<"This Uno Current: "<<p1out<<" "<<p1in<<" "<<p2out<<" "<<p2in<<" "<<pg<<std::endl;
CLHEP::HepLorentzVector q1=p1in-p1out; // Top End
CLHEP::HepLorentzVector q2=-(p2in-p2out); // Bottom End
CLHEP::HepLorentzVector qg=p1in-p1out-pg; // Extra bit post-gluon
// std::cerr<<"Current: "<<q1.m2()<<" "<<q2.m2()<<std::endl;
CCurrent mj1m,mj1p,mj2m,mj2p,mjH2m,mjH2p;
mj1p=j(p1out,true,p1in,true);
mj1m=j(p1out,false,p1in,false);
mjH2p=jH(p2out,true,p2in,true,qH1,qH2, mt, incBot, mb);
mjH2m=jH(p2out,false,p2in,false,qH1,qH2, mt, incBot, mb);
// Dot products of these which occur again and again
COM MHmp=mj1m.dot(mjH2p); // And now for the Higgs ones
COM MHmm=mj1m.dot(mjH2m);
COM MHpp=mj1p.dot(mjH2p);
COM MHpm=mj1p.dot(mjH2m);
// std::cout<< p1out.rapidity() << " " << p2out.rapidity()<< " " << qH1 << " " << qH2 << "\n" <<MHmm << " " << MHmp << " " << MHpm << " " << MHpp << std::endl;
// Currents with pg
CCurrent jgam,jgap,j2gm,j2gp;
j2gp=joo(p1out,true,pg,true);
j2gm=joo(p1out,false,pg,false);
jgap=j(pg,true,p1in,true);
jgam=j(pg,false,p1in,false);
CCurrent qsum(q1+qg);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p2o(p2out),p2i(p2in);
CCurrent p1o(p1out);
CCurrent p1i(p1in);
Lmm=(qsum*(MHmm) + (-2.*mjH2m.dot(pg))*mj1m+2.*mj1m.dot(pg)*mjH2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHmm/2.))/q1.m2();
Lmp=(qsum*(MHmp) + (-2.*mjH2p.dot(pg))*mj1m+2.*mj1m.dot(pg)*mjH2p+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHmp/2.))/q1.m2();
Lpm=(qsum*(MHpm) + (-2.*mjH2m.dot(pg))*mj1p+2.*mj1p.dot(pg)*mjH2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHpm/2.))/q1.m2();
Lpp=(qsum*(MHpp) + (-2.*mjH2p.dot(pg))*mj1p+2.*mj1p.dot(pg)*mjH2p+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHpp/2.))/q1.m2();
U1mm=(jgam.dot(mjH2m)*j2gm+2.*p1o*MHmm)/(p1out+pg).m2();
U1mp=(jgam.dot(mjH2p)*j2gm+2.*p1o*MHmp)/(p1out+pg).m2();
U1pm=(jgap.dot(mjH2m)*j2gp+2.*p1o*MHpm)/(p1out+pg).m2();
U1pp=(jgap.dot(mjH2p)*j2gp+2.*p1o*MHpp)/(p1out+pg).m2();
U2mm=((-1.)*j2gm.dot(mjH2m)*jgam+2.*p1i*MHmm)/(p1in-pg).m2();
U2mp=((-1.)*j2gm.dot(mjH2p)*jgam+2.*p1i*MHmp)/(p1in-pg).m2();
U2pm=((-1.)*j2gp.dot(mjH2m)*jgap+2.*p1i*MHpm)/(p1in-pg).m2();
U2pp=((-1.)*j2gp.dot(mjH2p)*jgap+2.*p1i*MHpp)/(p1in-pg).m2();
const double cf=RHEJ::C_F;
double amm,amp,apm,app;
amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
app=cf*(2.*vre(Lpp-U1pp,Lpp+U2pp))+2.*cf*cf/3.*vabs2(U1pp+U2pp);
double ampsq=-(amm+amp+apm+app)/(q2.m2()*qH2.m2());
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) > 1.0000001)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) < 0.9999999)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// Now add the t-channels for the Higgs
double th=qH1.m2()*qg.m2();
ampsq/=th;
ampsq/=16.;
ampsq*=RHEJ::C_F*RHEJ::C_F/RHEJ::C_A/RHEJ::C_A; // Factor of (Cf/Ca) for each quark to match MH2qQ.
//Higgs coupling is included in Hjets.C
return ampsq;
}
double jM2unogqbarHQ (CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1, CLHEP::HepLorentzVector qH2, double mt, bool incBot, double mb)
{
// This construction is taking rapidity order: pg > p1out >> p2out
// std::cerr<<"This Uno Current: "<<p1out<<" "<<p1in<<" "<<p2out<<" "<<p2in<<" "<<pg<<std::endl;
CLHEP::HepLorentzVector q1=p1in-p1out; // Top End
CLHEP::HepLorentzVector q2=-(p2in-p2out); // Bottom End
CLHEP::HepLorentzVector qg=p1in-p1out-pg; // Extra bit post-gluon
// std::cerr<<"Current: "<<q1.m2()<<" "<<q2.m2()<<std::endl;
CCurrent mj1m,mj1p,mj2m,mj2p,mjH2m,mjH2p;
mj1p=jio(p1in,true,p1out,true);
mj1m=jio(p1in,false,p1out,false);
mjH2p=jH(p2out,true,p2in,true,qH1,qH2, mt, incBot, mb);
mjH2m=jH(p2out,false,p2in,false,qH1,qH2, mt, incBot, mb);
// Dot products of these which occur again and again
COM MHmp=mj1m.dot(mjH2p); // And now for the Higgs ones
COM MHmm=mj1m.dot(mjH2m);
COM MHpp=mj1p.dot(mjH2p);
COM MHpm=mj1p.dot(mjH2m);
// Currents with pg
CCurrent jgam,jgap,j2gm,j2gp;
j2gp=joo(pg,true,p1out,true);
j2gm=joo(pg,false,p1out,false);
jgap=jio(p1in,true,pg,true);
jgam=jio(p1in,false,pg,false);
CCurrent qsum(q1+qg);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p2o(p2out),p2i(p2in);
CCurrent p1o(p1out);
CCurrent p1i(p1in);
Lmm=(qsum*(MHmm) + (-2.*mjH2m.dot(pg))*mj1m+2.*mj1m.dot(pg)*mjH2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHmm/2.))/q1.m2();
Lmp=(qsum*(MHmp) + (-2.*mjH2p.dot(pg))*mj1m+2.*mj1m.dot(pg)*mjH2p+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHmp/2.))/q1.m2();
Lpm=(qsum*(MHpm) + (-2.*mjH2m.dot(pg))*mj1p+2.*mj1p.dot(pg)*mjH2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHpm/2.))/q1.m2();
Lpp=(qsum*(MHpp) + (-2.*mjH2p.dot(pg))*mj1p+2.*mj1p.dot(pg)*mjH2p+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHpp/2.))/q1.m2();
U1mm=(jgam.dot(mjH2m)*j2gm+2.*p1o*MHmm)/(p1out+pg).m2();
U1mp=(jgam.dot(mjH2p)*j2gm+2.*p1o*MHmp)/(p1out+pg).m2();
U1pm=(jgap.dot(mjH2m)*j2gp+2.*p1o*MHpm)/(p1out+pg).m2();
U1pp=(jgap.dot(mjH2p)*j2gp+2.*p1o*MHpp)/(p1out+pg).m2();
U2mm=((-1.)*j2gm.dot(mjH2m)*jgam+2.*p1i*MHmm)/(p1in-pg).m2();
U2mp=((-1.)*j2gm.dot(mjH2p)*jgam+2.*p1i*MHmp)/(p1in-pg).m2();
U2pm=((-1.)*j2gp.dot(mjH2m)*jgap+2.*p1i*MHpm)/(p1in-pg).m2();
U2pp=((-1.)*j2gp.dot(mjH2p)*jgap+2.*p1i*MHpp)/(p1in-pg).m2();
const double cf=RHEJ::C_F;
double amm,amp,apm,app;
amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
app=cf*(2.*vre(Lpp-U1pp,Lpp+U2pp))+2.*cf*cf/3.*vabs2(U1pp+U2pp);
double ampsq=-(amm+amp+apm+app)/(q2.m2()*qH2.m2());
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) > 1.0000001)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) < 0.9999999)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// Now add the t-channels for the Higgs
double th=qH1.m2()*qg.m2();
ampsq/=th;
ampsq/=16.;
ampsq*=4.*4./(9.*9.); // Factor of (Cf/Ca) for each quark to match MH2qQ.
//Higgs coupling is included in Hjets.C
return ampsq;
}
double jM2unogqHQbar (CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1, CLHEP::HepLorentzVector qH2, double mt, bool incBot, double mb)
{
// This construction is taking rapidity order: pg > p1out >> p2out
// std::cerr<<"This Uno Current: "<<p1out<<" "<<p1in<<" "<<p2out<<" "<<p2in<<" "<<pg<<std::endl;
CLHEP::HepLorentzVector q1=p1in-p1out; // Top End
CLHEP::HepLorentzVector q2=-(p2in-p2out); // Bottom End
CLHEP::HepLorentzVector qg=p1in-p1out-pg; // Extra bit post-gluon
// std::cerr<<"Current: "<<q1.m2()<<" "<<q2.m2()<<std::endl;
CCurrent mj1m,mj1p,mj2m,mj2p,mjH2m,mjH2p;
mj1p=j(p1out,true,p1in,true);
mj1m=j(p1out,false,p1in,false);
mjH2p=jioH(p2in,true,p2out,true,qH1,qH2, mt, incBot, mb);
mjH2m=jioH(p2in,false,p2out,false,qH1,qH2, mt, incBot, mb);
// Dot products of these which occur again and again
COM MHmp=mj1m.dot(mjH2p); // And now for the Higgs ones
COM MHmm=mj1m.dot(mjH2m);
COM MHpp=mj1p.dot(mjH2p);
COM MHpm=mj1p.dot(mjH2m);
// Currents with pg
CCurrent jgam,jgap,j2gm,j2gp;
j2gp=joo(p1out,true,pg,true);
j2gm=joo(p1out,false,pg,false);
jgap=j(pg,true,p1in,true);
jgam=j(pg,false,p1in,false);
CCurrent qsum(q1+qg);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p2o(p2out),p2i(p2in);
CCurrent p1o(p1out);
CCurrent p1i(p1in);
Lmm=(qsum*(MHmm) + (-2.*mjH2m.dot(pg))*mj1m+2.*mj1m.dot(pg)*mjH2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHmm/2.))/q1.m2();
Lmp=(qsum*(MHmp) + (-2.*mjH2p.dot(pg))*mj1m+2.*mj1m.dot(pg)*mjH2p+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHmp/2.))/q1.m2();
Lpm=(qsum*(MHpm) + (-2.*mjH2m.dot(pg))*mj1p+2.*mj1p.dot(pg)*mjH2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHpm/2.))/q1.m2();
Lpp=(qsum*(MHpp) + (-2.*mjH2p.dot(pg))*mj1p+2.*mj1p.dot(pg)*mjH2p+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHpp/2.))/q1.m2();
U1mm=(jgam.dot(mjH2m)*j2gm+2.*p1o*MHmm)/(p1out+pg).m2();
U1mp=(jgam.dot(mjH2p)*j2gm+2.*p1o*MHmp)/(p1out+pg).m2();
U1pm=(jgap.dot(mjH2m)*j2gp+2.*p1o*MHpm)/(p1out+pg).m2();
U1pp=(jgap.dot(mjH2p)*j2gp+2.*p1o*MHpp)/(p1out+pg).m2();
U2mm=((-1.)*j2gm.dot(mjH2m)*jgam+2.*p1i*MHmm)/(p1in-pg).m2();
U2mp=((-1.)*j2gm.dot(mjH2p)*jgam+2.*p1i*MHmp)/(p1in-pg).m2();
U2pm=((-1.)*j2gp.dot(mjH2m)*jgap+2.*p1i*MHpm)/(p1in-pg).m2();
U2pp=((-1.)*j2gp.dot(mjH2p)*jgap+2.*p1i*MHpp)/(p1in-pg).m2();
const double cf=RHEJ::C_F;
double amm,amp,apm,app;
amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
app=cf*(2.*vre(Lpp-U1pp,Lpp+U2pp))+2.*cf*cf/3.*vabs2(U1pp+U2pp);
double ampsq=-(amm+amp+apm+app)/(q2.m2()*qH2.m2());
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) > 1.0000001)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) < 0.9999999)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// Now add the t-channels for the Higgs
double th=qH1.m2()*qg.m2();
ampsq/=th;
ampsq/=16.;
ampsq*=4.*4./(9.*9.); // Factor of (Cf/Ca) for each quark to match MH2qQ.
//Higgs coupling is included in Hjets.C
return ampsq;
}
double jM2unogqbarHQbar (CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1, CLHEP::HepLorentzVector qH2, double mt, bool incBot, double mb)
{
// This construction is taking rapidity order: pg > p1out >> p2out
// std::cerr<<"This Uno Current: "<<p1out<<" "<<p1in<<" "<<p2out<<" "<<p2in<<" "<<pg<<std::endl;
CLHEP::HepLorentzVector q1=p1in-p1out; // Top End
CLHEP::HepLorentzVector q2=-(p2in-p2out); // Bottom End
CLHEP::HepLorentzVector qg=p1in-p1out-pg; // Extra bit post-gluon
// std::cerr<<"Current: "<<q1.m2()<<" "<<q2.m2()<<std::endl;
CCurrent mj1m,mj1p,mj2m,mj2p,mjH2m,mjH2p;
mj1p=jio(p1in,true,p1out,true);
mj1m=jio(p1in,false,p1out,false);
mjH2p=jioH(p2in,true,p2out,true,qH1,qH2, mt, incBot, mb);
mjH2m=jioH(p2in,false,p2out,false,qH1,qH2, mt, incBot, mb);
// Dot products of these which occur again and again
COM MHmp=mj1m.dot(mjH2p); // And now for the Higgs ones
COM MHmm=mj1m.dot(mjH2m);
COM MHpp=mj1p.dot(mjH2p);
COM MHpm=mj1p.dot(mjH2m);
// Currents with pg
CCurrent jgam,jgap,j2gm,j2gp;
j2gp=joo(pg,true,p1out,true);
j2gm=joo(pg,false,p1out,false);
jgap=jio(p1in,true,pg,true);
jgam=jio(p1in,false,pg,false);
CCurrent qsum(q1+qg);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p2o(p2out),p2i(p2in);
CCurrent p1o(p1out);
CCurrent p1i(p1in);
Lmm=(qsum*(MHmm) + (-2.*mjH2m.dot(pg))*mj1m+2.*mj1m.dot(pg)*mjH2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHmm/2.))/q1.m2();
Lmp=(qsum*(MHmp) + (-2.*mjH2p.dot(pg))*mj1m+2.*mj1m.dot(pg)*mjH2p+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHmp/2.))/q1.m2();
Lpm=(qsum*(MHpm) + (-2.*mjH2m.dot(pg))*mj1p+2.*mj1p.dot(pg)*mjH2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHpm/2.))/q1.m2();
Lpp=(qsum*(MHpp) + (-2.*mjH2p.dot(pg))*mj1p+2.*mj1p.dot(pg)*mjH2p+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHpp/2.))/q1.m2();
U1mm=(jgam.dot(mjH2m)*j2gm+2.*p1o*MHmm)/(p1out+pg).m2();
U1mp=(jgam.dot(mjH2p)*j2gm+2.*p1o*MHmp)/(p1out+pg).m2();
U1pm=(jgap.dot(mjH2m)*j2gp+2.*p1o*MHpm)/(p1out+pg).m2();
U1pp=(jgap.dot(mjH2p)*j2gp+2.*p1o*MHpp)/(p1out+pg).m2();
U2mm=((-1.)*j2gm.dot(mjH2m)*jgam+2.*p1i*MHmm)/(p1in-pg).m2();
U2mp=((-1.)*j2gm.dot(mjH2p)*jgam+2.*p1i*MHmp)/(p1in-pg).m2();
U2pm=((-1.)*j2gp.dot(mjH2m)*jgap+2.*p1i*MHpm)/(p1in-pg).m2();
U2pp=((-1.)*j2gp.dot(mjH2p)*jgap+2.*p1i*MHpp)/(p1in-pg).m2();
const double cf=RHEJ::C_F;
double amm,amp,apm,app;
amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
app=cf*(2.*vre(Lpp-U1pp,Lpp+U2pp))+2.*cf*cf/3.*vabs2(U1pp+U2pp);
double ampsq=-(amm+amp+apm+app)/(q2.m2()*qH2.m2());
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) > 1.0000001)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) < 0.9999999)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// Now add the t-channels for the Higgs
double th=qH1.m2()*qg.m2();
ampsq/=th;
ampsq/=16.;
//Higgs coupling is included in Hjets.C
ampsq*=4.*4./(9.*9.); // Factor of (Cf/Ca) for each quark to match MH2qQ.
return ampsq;
}
double jM2unogqHg (CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1, CLHEP::HepLorentzVector qH2, double mt, bool incBot, double mb)
{
// This construction is taking rapidity order: pg > p1out >> p2out
// std::cerr<<"This Uno Current: "<<p1out<<" "<<p1in<<" "<<p2out<<" "<<p2in<<" "<<pg<<std::endl;
CLHEP::HepLorentzVector q1=p1in-p1out; // Top End
CLHEP::HepLorentzVector q2=-(p2in-p2out); // Bottom End
CLHEP::HepLorentzVector qg=p1in-p1out-pg; // Extra bit post-gluon
CCurrent mj1m,mj1p,mj2m,mj2p,mjH2m,mjH2p;
mj1p=j(p1out,true,p1in,true);
mj1m=j(p1out,false,p1in,false);
mjH2p=jH(p2out,true,p2in,true,qH1,qH2, mt, incBot, mb);
mjH2m=jH(p2out,false,p2in,false,qH1,qH2, mt, incBot, mb);
// Dot products of these which occur again and again
COM MHmp=mj1m.dot(mjH2p); // And now for the Higgs ones
COM MHmm=mj1m.dot(mjH2m);
COM MHpp=mj1p.dot(mjH2p);
COM MHpm=mj1p.dot(mjH2m);
// Currents with pg
CCurrent jgam,jgap,j2gm,j2gp;
j2gp=joo(p1out,true,pg,true);
j2gm=joo(p1out,false,pg,false);
jgap=j(pg,true,p1in,true);
jgam=j(pg,false,p1in,false);
CCurrent qsum(q1+qg);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p2o(p2out),p2i(p2in);
CCurrent p1o(p1out);
CCurrent p1i(p1in);
Lmm=(qsum*(MHmm) + (-2.*mjH2m.dot(pg))*mj1m+2.*mj1m.dot(pg)*mjH2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHmm/2.))/q1.m2();
Lmp=(qsum*(MHmp) + (-2.*mjH2p.dot(pg))*mj1m+2.*mj1m.dot(pg)*mjH2p+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHmp/2.))/q1.m2();
Lpm=(qsum*(MHpm) + (-2.*mjH2m.dot(pg))*mj1p+2.*mj1p.dot(pg)*mjH2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHpm/2.))/q1.m2();
Lpp=(qsum*(MHpp) + (-2.*mjH2p.dot(pg))*mj1p+2.*mj1p.dot(pg)*mjH2p+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHpp/2.))/q1.m2();
U1mm=(jgam.dot(mjH2m)*j2gm+2.*p1o*MHmm)/(p1out+pg).m2();
U1mp=(jgam.dot(mjH2p)*j2gm+2.*p1o*MHmp)/(p1out+pg).m2();
U1pm=(jgap.dot(mjH2m)*j2gp+2.*p1o*MHpm)/(p1out+pg).m2();
U1pp=(jgap.dot(mjH2p)*j2gp+2.*p1o*MHpp)/(p1out+pg).m2();
U2mm=((-1.)*j2gm.dot(mjH2m)*jgam+2.*p1i*MHmm)/(p1in-pg).m2();
U2mp=((-1.)*j2gm.dot(mjH2p)*jgam+2.*p1i*MHmp)/(p1in-pg).m2();
U2pm=((-1.)*j2gp.dot(mjH2m)*jgap+2.*p1i*MHpm)/(p1in-pg).m2();
U2pp=((-1.)*j2gp.dot(mjH2p)*jgap+2.*p1i*MHpp)/(p1in-pg).m2();
const double cf=RHEJ::C_F;
double amm,amp,apm,app;
amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
app=cf*(2.*vre(Lpp-U1pp,Lpp+U2pp))+2.*cf*cf/3.*vabs2(U1pp+U2pp);
double ampsq=-(amm+amp+apm+app)/(q2.m2()*qH2.m2());
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) > 1.0000001)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) < 0.9999999)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// Now add the t-channels for the Higgs
double th=qH1.m2()*qg.m2();
ampsq/=th;
ampsq/=16.;
ampsq*=4./9.*4./9.; // Factor of (Cf/Ca) for each quark to match MH2qQ.
// here we need 2 to match with the normalization
// gq is 9./4. times the qQ
//Higgs coupling is included in Hjets.C
const double K = K_g(p2out, p2in);
return ampsq*K/C_A*9./4.; //ca/cf = 9/4
}
double jM2unogqbarHg (CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1, CLHEP::HepLorentzVector qH2, double mt, bool incBot, double mb)
{
// This construction is taking rapidity order: pg > p1out >> p2out
// std::cerr<<"This Uno Current: "<<p1out<<" "<<p1in<<" "<<p2out<<" "<<p2in<<" "<<pg<<std::endl;
CLHEP::HepLorentzVector q1=p1in-p1out; // Top End
CLHEP::HepLorentzVector q2=-(p2in-p2out); // Bottom End
CLHEP::HepLorentzVector qg=p1in-p1out-pg; // Extra bit post-gluon
CCurrent mj1m,mj1p,mj2m,mj2p,mjH2m,mjH2p;
mj1p=jio(p1in,true,p1out,true);
mj1m=jio(p1in,false,p1out,false);
mjH2p=jH(p2out,true,p2in,true,qH1,qH2, mt, incBot, mb);
mjH2m=jH(p2out,false,p2in,false,qH1,qH2, mt, incBot, mb);
// Dot products of these which occur again and again
COM MHmp=mj1m.dot(mjH2p); // And now for the Higgs ones
COM MHmm=mj1m.dot(mjH2m);
COM MHpp=mj1p.dot(mjH2p);
COM MHpm=mj1p.dot(mjH2m);
// Currents with pg
CCurrent jgam,jgap,j2gm,j2gp;
j2gp=joo(pg,true,p1out,true);
j2gm=joo(pg,false,p1out,false);
jgap=jio(p1in,true,pg,true);
jgam=jio(p1in,false,pg,false);
CCurrent qsum(q1+qg);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p2o(p2out),p2i(p2in);
CCurrent p1o(p1out);
CCurrent p1i(p1in);
Lmm=(qsum*(MHmm) + (-2.*mjH2m.dot(pg))*mj1m+2.*mj1m.dot(pg)*mjH2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHmm/2.))/q1.m2();
Lmp=(qsum*(MHmp) + (-2.*mjH2p.dot(pg))*mj1m+2.*mj1m.dot(pg)*mjH2p+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHmp/2.))/q1.m2();
Lpm=(qsum*(MHpm) + (-2.*mjH2m.dot(pg))*mj1p+2.*mj1p.dot(pg)*mjH2m+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHpm/2.))/q1.m2();
Lpp=(qsum*(MHpp) + (-2.*mjH2p.dot(pg))*mj1p+2.*mj1p.dot(pg)*mjH2p+(p2o/pg.dot(p2out) + p2i/pg.dot(p2in))*(qg.m2()*MHpp/2.))/q1.m2();
U1mm=(jgam.dot(mjH2m)*j2gm+2.*p1o*MHmm)/(p1out+pg).m2();
U1mp=(jgam.dot(mjH2p)*j2gm+2.*p1o*MHmp)/(p1out+pg).m2();
U1pm=(jgap.dot(mjH2m)*j2gp+2.*p1o*MHpm)/(p1out+pg).m2();
U1pp=(jgap.dot(mjH2p)*j2gp+2.*p1o*MHpp)/(p1out+pg).m2();
U2mm=((-1.)*j2gm.dot(mjH2m)*jgam+2.*p1i*MHmm)/(p1in-pg).m2();
U2mp=((-1.)*j2gm.dot(mjH2p)*jgam+2.*p1i*MHmp)/(p1in-pg).m2();
U2pm=((-1.)*j2gp.dot(mjH2m)*jgap+2.*p1i*MHpm)/(p1in-pg).m2();
U2pp=((-1.)*j2gp.dot(mjH2p)*jgap+2.*p1i*MHpp)/(p1in-pg).m2();
const double cf=RHEJ::C_F;
double amm,amp,apm,app;
amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
app=cf*(2.*vre(Lpp-U1pp,Lpp+U2pp))+2.*cf*cf/3.*vabs2(U1pp+U2pp);
double ampsq=-(amm+amp+apm+app)/(q2.m2()*qH2.m2());
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) > 1.0000001)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) < 0.9999999)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// Now add the t-channels for the Higgs
double th=qH1.m2()*qg.m2();
ampsq/=th;
ampsq/=16.;
ampsq*=4./9.*4./9.; // Factor of (Cf/Ca) for each quark to match MH2qQ.
// here we need 2 to match with the normalization
// gq is 9./4. times the qQ
//Higgs coupling is included in Hjets.C
const double K = K_g(p2out, p2in);
return ampsq*K/C_F;
}
double jM2unobqHQg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1, CLHEP::HepLorentzVector qH2, double mt, bool incBot, double mb)
{
// std::cout << "####################\n";
// std::cout << "# p1in : "<<p1in<< " "<<p1in.plus()<<" "<<p1in.minus()<<std::endl;
// std::cout << "# p2in : "<<p2in<< " "<<p2in.plus()<<" "<<p2in.minus()<<std::endl;
// std::cout << "# p1out : "<<p1out<< " "<<p1out.rapidity()<<std::endl;
// std::cout << "# (qH1-qH2) : "<<(qH1-qH2)<< " "<<(qH1-qH2).rapidity()<<std::endl;
// std::cout << "# pg : "<<pg<< " "<<pg.rapidity()<<std::endl;
// std::cout << "# p2out : "<<p2out<< " "<<p2out.rapidity()<<std::endl;
// std::cout << "####################\n";
CLHEP::HepLorentzVector q1=p1in-p1out; // Top End
CLHEP::HepLorentzVector q2=-(p2in-p2out-pg); // Extra bit pre-gluon
CLHEP::HepLorentzVector q3=-(p2in-p2out); // Bottom End
// std::cerr<<"Current: "<<q1.m2()<<" "<<q2.m2()<<std::endl;
CCurrent mjH1m,mjH1p,mj2m,mj2p;
mjH1p=jHtop(p1out,true,p1in,true,qH1,qH2, mt, incBot, mb);
mjH1m=jHtop(p1out,false,p1in,false,qH1,qH2, mt, incBot, mb);
mj2p=j(p2out,true,p2in,true);
mj2m=j(p2out,false,p2in,false);
// Dot products of these which occur again and again
COM MHmp=mjH1m.dot(mj2p); // And now for the Higgs ones
COM MHmm=mjH1m.dot(mj2m);
COM MHpp=mjH1p.dot(mj2p);
COM MHpm=mjH1p.dot(mj2m);
// Currents with pg
CCurrent jgbm,jgbp,j2gm,j2gp;
j2gp=joo(p2out,true,pg,true);
j2gm=joo(p2out,false,pg,false);
jgbp=j(pg,true,p2in,true);
jgbm=j(pg,false,p2in,false);
CCurrent qsum(q2+q3);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p1o(p1out),p1i(p1in);
CCurrent p2o(p2out);
CCurrent p2i(p2in);
CCurrent pplus((p1in+p1out)/2.);
CCurrent pminus((p2in+p2out)/2.);
// COM test=pminus.dot(p1in);
Lmm=((-1.)*qsum*(MHmm) + (-2.*mjH1m.dot(pg))*mj2m+2.*mj2m.dot(pg)*mjH1m
+ (p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHmm/2.))/q3.m2();
Lmp=((-1.)*qsum*(MHmp) + (-2.*mjH1m.dot(pg))*mj2p+2.*mj2p.dot(pg)*mjH1m
+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHmp/2.))/q3.m2();
Lpm=((-1.)*qsum*(MHpm) + (-2.*mjH1p.dot(pg))*mj2m+2.*mj2m.dot(pg)*mjH1p
+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHpm/2.))/q3.m2();
Lpp=((-1.)*qsum*(MHpp) + (-2.*mjH1p.dot(pg))*mj2p+2.*mj2p.dot(pg)*mjH1p
+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHpp/2.))/q3.m2();
U1mm=(jgbm.dot(mjH1m)*j2gm+2.*p2o*MHmm)/(p2out+pg).m2();
U1mp=(jgbp.dot(mjH1m)*j2gp+2.*p2o*MHmp)/(p2out+pg).m2();
U1pm=(jgbm.dot(mjH1p)*j2gm+2.*p2o*MHpm)/(p2out+pg).m2();
U1pp=(jgbp.dot(mjH1p)*j2gp+2.*p2o*MHpp)/(p2out+pg).m2();
U2mm=((-1.)*j2gm.dot(mjH1m)*jgbm+2.*p2i*MHmm)/(p2in-pg).m2();
U2mp=((-1.)*j2gp.dot(mjH1m)*jgbp+2.*p2i*MHmp)/(p2in-pg).m2();
U2pm=((-1.)*j2gm.dot(mjH1p)*jgbm+2.*p2i*MHpm)/(p2in-pg).m2();
U2pp=((-1.)*j2gp.dot(mjH1p)*jgbp+2.*p2i*MHpp)/(p2in-pg).m2();
const double cf=RHEJ::C_F;
double amm,amp,apm,app;
amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
app=cf*(2.*vre(Lpp-U1pp,Lpp+U2pp))+2.*cf*cf/3.*vabs2(U1pp+U2pp);
// 1/3. = 1/C_A ?
double ampsq=-(amm+amp+apm+app)/(q1.m2()*qH1.m2());
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) > 1.0000001)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) < 0.9999999)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// Now add the t-channels for the Higgs
const double th=qH2.m2()*q2.m2();
ampsq/=th;
ampsq/=16.;
ampsq*=RHEJ::C_F*RHEJ::C_F/(RHEJ::C_A*RHEJ::C_A); // Factor of (Cf/Ca) for each quark to match MH2qQ.
return ampsq;
}
double jM2unobqbarHQg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1, CLHEP::HepLorentzVector qH2, double mt, bool incBot, double mb)
{
CLHEP::HepLorentzVector q1=p1in-p1out; // Top End
CLHEP::HepLorentzVector q2=-(p2in-p2out-pg); // Extra bit pre-gluon
CLHEP::HepLorentzVector q3=-(p2in-p2out); // Bottom End
// std::cerr<<"Current: "<<q1.m2()<<" "<<q2.m2()<<std::endl;
CCurrent mjH1m,mjH1p,mj2m,mj2p;
mjH1p=jioHtop(p1in,true,p1out,true,qH1,qH2, mt, incBot, mb);
mjH1m=jioHtop(p1in,false,p1out,false,qH1,qH2, mt, incBot, mb);
mj2p=j(p2out,true,p2in,true);
mj2m=j(p2out,false,p2in,false);
// Dot products of these which occur again and again
COM MHmp=mjH1m.dot(mj2p); // And now for the Higgs ones
COM MHmm=mjH1m.dot(mj2m);
COM MHpp=mjH1p.dot(mj2p);
COM MHpm=mjH1p.dot(mj2m);
// Currents with pg
CCurrent jgbm,jgbp,j2gm,j2gp;
j2gp=joo(p2out,true,pg,true);
j2gm=joo(p2out,false,pg,false);
jgbp=j(pg,true,p2in,true);
jgbm=j(pg,false,p2in,false);
CCurrent qsum(q2+q3);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p1o(p1out),p1i(p1in);
CCurrent p2o(p2out);
CCurrent p2i(p2in);
CCurrent pplus((p1in+p1out)/2.);
CCurrent pminus((p2in+p2out)/2.);
// COM test=pminus.dot(p1in);
Lmm=((-1.)*qsum*(MHmm) + (-2.*mjH1m.dot(pg))*mj2m+2.*mj2m.dot(pg)*mjH1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHmm/2.))/q3.m2();
Lmp=((-1.)*qsum*(MHmp) + (-2.*mjH1m.dot(pg))*mj2p+2.*mj2p.dot(pg)*mjH1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHmp/2.))/q3.m2();
Lpm=((-1.)*qsum*(MHpm) + (-2.*mjH1p.dot(pg))*mj2m+2.*mj2m.dot(pg)*mjH1p+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHpm/2.))/q3.m2();
Lpp=((-1.)*qsum*(MHpp) + (-2.*mjH1p.dot(pg))*mj2p+2.*mj2p.dot(pg)*mjH1p+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHpp/2.))/q3.m2();
U1mm=(jgbm.dot(mjH1m)*j2gm+2.*p2o*MHmm)/(p2out+pg).m2();
U1mp=(jgbp.dot(mjH1m)*j2gp+2.*p2o*MHmp)/(p2out+pg).m2();
U1pm=(jgbm.dot(mjH1p)*j2gm+2.*p2o*MHpm)/(p2out+pg).m2();
U1pp=(jgbp.dot(mjH1p)*j2gp+2.*p2o*MHpp)/(p2out+pg).m2();
U2mm=((-1.)*j2gm.dot(mjH1m)*jgbm+2.*p2i*MHmm)/(p2in-pg).m2();
U2mp=((-1.)*j2gp.dot(mjH1m)*jgbp+2.*p2i*MHmp)/(p2in-pg).m2();
U2pm=((-1.)*j2gm.dot(mjH1p)*jgbm+2.*p2i*MHpm)/(p2in-pg).m2();
U2pp=((-1.)*j2gp.dot(mjH1p)*jgbp+2.*p2i*MHpp)/(p2in-pg).m2();
const double cf=RHEJ::C_F;
double amm,amp,apm,app;
amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
app=cf*(2.*vre(Lpp-U1pp,Lpp+U2pp))+2.*cf*cf/3.*vabs2(U1pp+U2pp);
double ampsq=-(amm+amp+apm+app)/(q1.m2()*qH1.m2());
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) > 1.0000001)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) < 0.9999999)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// Now add the t-channels for the Higgs
double th=qH2.m2()*q2.m2();
ampsq/=th;
ampsq/=16.;
ampsq*=4.*4./(9.*9.); // Factor of (Cf/Ca) for each quark to match MH2qQ.
//Higgs coupling is included in Hjets.C
return ampsq;
}
double jM2unobqHQbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1, CLHEP::HepLorentzVector qH2, double mt, bool incBot, double mb)
{
CLHEP::HepLorentzVector q1=p1in-p1out; // Top End
CLHEP::HepLorentzVector q2=-(p2in-p2out-pg); // Extra bit pre-gluon
CLHEP::HepLorentzVector q3=-(p2in-p2out); // Bottom End
// std::cerr<<"Current: "<<q1.m2()<<" "<<q2.m2()<<std::endl;
CCurrent mjH1m,mjH1p,mj2m,mj2p;
mjH1p=jHtop(p1out,true,p1in,true,qH1,qH2,mt, incBot, mb);
mjH1m=jHtop(p1out,false,p1in,false,qH1,qH2,mt, incBot, mb);
mj2p=jio(p2in,true,p2out,true);
mj2m=jio(p2in,false,p2out,false);
// Dot products of these which occur again and again
COM MHmp=mjH1m.dot(mj2p); // And now for the Higgs ones
COM MHmm=mjH1m.dot(mj2m);
COM MHpp=mjH1p.dot(mj2p);
COM MHpm=mjH1p.dot(mj2m);
// Currents with pg
CCurrent jgbm,jgbp,j2gm,j2gp;
j2gp=joo(pg,true,p2out,true);
j2gm=joo(pg,false,p2out,false);
jgbp=jio(p2in,true,pg,true);
jgbm=jio(p2in,false,pg,false);
CCurrent qsum(q2+q3);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p1o(p1out),p1i(p1in);
CCurrent p2o(p2out);
CCurrent p2i(p2in);
CCurrent pplus((p1in+p1out)/2.);
CCurrent pminus((p2in+p2out)/2.);
// COM test=pminus.dot(p1in);
Lmm=((-1.)*qsum*(MHmm) + (-2.*mjH1m.dot(pg))*mj2m+2.*mj2m.dot(pg)*mjH1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHmm/2.))/q3.m2();
Lmp=((-1.)*qsum*(MHmp) + (-2.*mjH1m.dot(pg))*mj2p+2.*mj2p.dot(pg)*mjH1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHmp/2.))/q3.m2();
Lpm=((-1.)*qsum*(MHpm) + (-2.*mjH1p.dot(pg))*mj2m+2.*mj2m.dot(pg)*mjH1p+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHpm/2.))/q3.m2();
Lpp=((-1.)*qsum*(MHpp) + (-2.*mjH1p.dot(pg))*mj2p+2.*mj2p.dot(pg)*mjH1p+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHpp/2.))/q3.m2();
U1mm=(jgbm.dot(mjH1m)*j2gm+2.*p2o*MHmm)/(p2out+pg).m2();
U1mp=(jgbp.dot(mjH1m)*j2gp+2.*p2o*MHmp)/(p2out+pg).m2();
U1pm=(jgbm.dot(mjH1p)*j2gm+2.*p2o*MHpm)/(p2out+pg).m2();
U1pp=(jgbp.dot(mjH1p)*j2gp+2.*p2o*MHpp)/(p2out+pg).m2();
U2mm=((-1.)*j2gm.dot(mjH1m)*jgbm+2.*p2i*MHmm)/(p2in-pg).m2();
U2mp=((-1.)*j2gp.dot(mjH1m)*jgbp+2.*p2i*MHmp)/(p2in-pg).m2();
U2pm=((-1.)*j2gm.dot(mjH1p)*jgbm+2.*p2i*MHpm)/(p2in-pg).m2();
U2pp=((-1.)*j2gp.dot(mjH1p)*jgbp+2.*p2i*MHpp)/(p2in-pg).m2();
const double cf=RHEJ::C_F;
double amm,amp,apm,app;
amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
app=cf*(2.*vre(Lpp-U1pp,Lpp+U2pp))+2.*cf*cf/3.*vabs2(U1pp+U2pp);
double ampsq=-(amm+amp+apm+app)/(q1.m2()*qH1.m2());
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) > 1.0000001)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) < 0.9999999)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// Now add the t-channels for the Higgs
double th=qH2.m2()*q2.m2();
ampsq/=th;
ampsq/=16.;
ampsq*=4.*4./(9.*9.); // Factor of (Cf/Ca) for each quark to match MH2qQ.
//Higgs coupling is included in Hjets.C
return ampsq;
}
double jM2unobqbarHQbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1, CLHEP::HepLorentzVector qH2, double mt, bool incBot, double mb)
{
CLHEP::HepLorentzVector q1=p1in-p1out; // Top End
CLHEP::HepLorentzVector q2=-(p2in-p2out-pg); // Extra bit pre-gluon
CLHEP::HepLorentzVector q3=-(p2in-p2out); // Bottom End
// std::cerr<<"Current: "<<q1.m2()<<" "<<q2.m2()<<std::endl;
CCurrent mjH1m,mjH1p,mj2m,mj2p;
mjH1p=jioHtop(p1in,true,p1out,true,qH1,qH2,mt, incBot, mb);
mjH1m=jioHtop(p1in,false,p1out,false,qH1,qH2,mt, incBot, mb);
mj2p=jio(p2in,true,p2out,true);
mj2m=jio(p2in,false,p2out,false);
// Dot products of these which occur again and again
COM MHmp=mjH1m.dot(mj2p); // And now for the Higgs ones
COM MHmm=mjH1m.dot(mj2m);
COM MHpp=mjH1p.dot(mj2p);
COM MHpm=mjH1p.dot(mj2m);
// Currents with pg
CCurrent jgbm,jgbp,j2gm,j2gp;
j2gp=joo(pg,true,p2out,true);
j2gm=joo(pg,false,p2out,false);
jgbp=jio(p2in,true,pg,true);
jgbm=jio(p2in,false,pg,false);
CCurrent qsum(q2+q3);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p1o(p1out),p1i(p1in);
CCurrent p2o(p2out);
CCurrent p2i(p2in);
CCurrent pplus((p1in+p1out)/2.);
CCurrent pminus((p2in+p2out)/2.);
// COM test=pminus.dot(p1in);
Lmm=((-1.)*qsum*(MHmm) + (-2.*mjH1m.dot(pg))*mj2m+2.*mj2m.dot(pg)*mjH1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHmm/2.))/q3.m2();
Lmp=((-1.)*qsum*(MHmp) + (-2.*mjH1m.dot(pg))*mj2p+2.*mj2p.dot(pg)*mjH1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHmp/2.))/q3.m2();
Lpm=((-1.)*qsum*(MHpm) + (-2.*mjH1p.dot(pg))*mj2m+2.*mj2m.dot(pg)*mjH1p+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHpm/2.))/q3.m2();
Lpp=((-1.)*qsum*(MHpp) + (-2.*mjH1p.dot(pg))*mj2p+2.*mj2p.dot(pg)*mjH1p+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHpp/2.))/q3.m2();
U1mm=(jgbm.dot(mjH1m)*j2gm+2.*p2o*MHmm)/(p2out+pg).m2();
U1mp=(jgbp.dot(mjH1m)*j2gp+2.*p2o*MHmp)/(p2out+pg).m2();
U1pm=(jgbm.dot(mjH1p)*j2gm+2.*p2o*MHpm)/(p2out+pg).m2();
U1pp=(jgbp.dot(mjH1p)*j2gp+2.*p2o*MHpp)/(p2out+pg).m2();
U2mm=((-1.)*j2gm.dot(mjH1m)*jgbm+2.*p2i*MHmm)/(p2in-pg).m2();
U2mp=((-1.)*j2gp.dot(mjH1m)*jgbp+2.*p2i*MHmp)/(p2in-pg).m2();
U2pm=((-1.)*j2gm.dot(mjH1p)*jgbm+2.*p2i*MHpm)/(p2in-pg).m2();
U2pp=((-1.)*j2gp.dot(mjH1p)*jgbp+2.*p2i*MHpp)/(p2in-pg).m2();
const double cf=RHEJ::C_F;
double amm,amp,apm,app;
amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
app=cf*(2.*vre(Lpp-U1pp,Lpp+U2pp))+2.*cf*cf/3.*vabs2(U1pp+U2pp);
double ampsq=-(amm+amp+apm+app)/(q1.m2()*qH1.m2());
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) > 1.0000001)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) < 0.9999999)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// Now add the t-channels for the Higgs
double th=qH2.m2()*q2.m2();
ampsq/=th;
ampsq/=16.;
ampsq*=4.*4./(9.*9.); // Factor of (Cf/Ca) for each quark to match MH2qQ.
//Higgs coupling is included in Hjets.C
return ampsq;
}
double jM2unobgHQg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1, CLHEP::HepLorentzVector qH2, double mt, bool incBot, double mb)
{
// std::cout << "####################\n";
// std::cout << "# p1in : "<<p1in<< " "<<p1in.plus()<<" "<<p1in.minus()<<std::endl;
// std::cout << "# p2in : "<<p2in<< " "<<p2in.plus()<<" "<<p2in.minus()<<std::endl;
// std::cout << "# p1out : "<<p1out<< " "<<p1out.rapidity()<<std::endl;
// std::cout << "# (qH1-qH2) : "<<(qH1-qH2)<< " "<<(qH1-qH2).rapidity()<<std::endl;
// std::cout << "# pg : "<<pg<< " "<<pg.rapidity()<<std::endl;
// std::cout << "# p2out : "<<p2out<< " "<<p2out.rapidity()<<std::endl;
// std::cout << "####################\n";
CLHEP::HepLorentzVector q1=p1in-p1out; // Top End
CLHEP::HepLorentzVector q2=-(p2in-p2out-pg); // Extra bit pre-gluon
CLHEP::HepLorentzVector q3=-(p2in-p2out); // Bottom End
// std::cerr<<"Current: "<<q1.m2()<<" "<<q2.m2()<<std::endl;
CCurrent mjH1m,mjH1p,mj2m,mj2p;
mjH1p=jHtop(p1out,true,p1in,true,qH1,qH2,mt, incBot, mb);
mjH1m=jHtop(p1out,false,p1in,false,qH1,qH2,mt, incBot, mb);
mj2p=j(p2out,true,p2in,true);
mj2m=j(p2out,false,p2in,false);
// Dot products of these which occur again and again
COM MHmp=mjH1m.dot(mj2p); // And now for the Higgs ones
COM MHmm=mjH1m.dot(mj2m);
COM MHpp=mjH1p.dot(mj2p);
COM MHpm=mjH1p.dot(mj2m);
// Currents with pg
CCurrent jgbm,jgbp,j2gm,j2gp;
j2gp=joo(p2out,true,pg,true);
j2gm=joo(p2out,false,pg,false);
jgbp=j(pg,true,p2in,true);
jgbm=j(pg,false,p2in,false);
CCurrent qsum(q2+q3);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p1o(p1out),p1i(p1in);
CCurrent p2o(p2out);
CCurrent p2i(p2in);
CCurrent pplus((p1in+p1out)/2.);
CCurrent pminus((p2in+p2out)/2.);
// COM test=pminus.dot(p1in);
Lmm=((-1.)*qsum*(MHmm) + (-2.*mjH1m.dot(pg))*mj2m+2.*mj2m.dot(pg)*mjH1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHmm/2.))/q3.m2();
Lmp=((-1.)*qsum*(MHmp) + (-2.*mjH1m.dot(pg))*mj2p+2.*mj2p.dot(pg)*mjH1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHmp/2.))/q3.m2();
Lpm=((-1.)*qsum*(MHpm) + (-2.*mjH1p.dot(pg))*mj2m+2.*mj2m.dot(pg)*mjH1p+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHpm/2.))/q3.m2();
Lpp=((-1.)*qsum*(MHpp) + (-2.*mjH1p.dot(pg))*mj2p+2.*mj2p.dot(pg)*mjH1p+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHpp/2.))/q3.m2();
U1mm=(jgbm.dot(mjH1m)*j2gm+2.*p2o*MHmm)/(p2out+pg).m2();
U1mp=(jgbp.dot(mjH1m)*j2gp+2.*p2o*MHmp)/(p2out+pg).m2();
U1pm=(jgbm.dot(mjH1p)*j2gm+2.*p2o*MHpm)/(p2out+pg).m2();
U1pp=(jgbp.dot(mjH1p)*j2gp+2.*p2o*MHpp)/(p2out+pg).m2();
U2mm=((-1.)*j2gm.dot(mjH1m)*jgbm+2.*p2i*MHmm)/(p2in-pg).m2();
U2mp=((-1.)*j2gp.dot(mjH1m)*jgbp+2.*p2i*MHmp)/(p2in-pg).m2();
U2pm=((-1.)*j2gm.dot(mjH1p)*jgbm+2.*p2i*MHpm)/(p2in-pg).m2();
U2pp=((-1.)*j2gp.dot(mjH1p)*jgbp+2.*p2i*MHpp)/(p2in-pg).m2();
const double cf=RHEJ::C_F;
double amm,amp,apm,app;
amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
app=cf*(2.*vre(Lpp-U1pp,Lpp+U2pp))+2.*cf*cf/3.*vabs2(U1pp+U2pp);
double ampsq=-(amm+amp+apm+app)/(q1.m2()*qH1.m2());
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) > 1.0000001)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) < 0.9999999)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// Now add the t-channels for the Higgs
double th=qH2.m2()*q2.m2();
ampsq/=th;
ampsq/=16.;
ampsq*=4./9.*4./9.; // Factor of (Cf/Ca) for each quark to match MH2qQ.
// need twice to match the normalization
//Higgs coupling is included in Hjets.C
const double K = K_g(p1out, p1in);
return ampsq*K/C_F;
}
double jM2unobgHQbarg (CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector pg, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector qH1, CLHEP::HepLorentzVector qH2, double mt, bool incBot, double mb)
{
CLHEP::HepLorentzVector q1=p1in-p1out; // Top End
CLHEP::HepLorentzVector q2=-(p2in-p2out-pg); // Extra bit pre-gluon
CLHEP::HepLorentzVector q3=-(p2in-p2out); // Bottom End
// std::cerr<<"Current: "<<q1.m2()<<" "<<q2.m2()<<std::endl;
CCurrent mjH1m,mjH1p,mj2m,mj2p;
mjH1p=jHtop(p1out,true,p1in,true,qH1,qH2,mt, incBot, mb);
mjH1m=jHtop(p1out,false,p1in,false,qH1,qH2,mt, incBot, mb);
mj2p=jio(p2in,true,p2out,true);
mj2m=jio(p2in,false,p2out,false);
// Dot products of these which occur again and again
COM MHmp=mjH1m.dot(mj2p); // And now for the Higgs ones
COM MHmm=mjH1m.dot(mj2m);
COM MHpp=mjH1p.dot(mj2p);
COM MHpm=mjH1p.dot(mj2m);
// Currents with pg
CCurrent jgbm,jgbp,j2gm,j2gp;
j2gp=joo(pg,true,p2out,true);
j2gm=joo(pg,false,p2out,false);
jgbp=jio(p2in,true,pg,true);
jgbm=jio(p2in,false,pg,false);
CCurrent qsum(q2+q3);
CCurrent Lmp,Lmm,Lpp,Lpm,U1mp,U1mm,U1pp,U1pm,U2mp,U2mm,U2pp,U2pm,p1o(p1out),p1i(p1in);
CCurrent p2o(p2out);
CCurrent p2i(p2in);
CCurrent pplus((p1in+p1out)/2.);
CCurrent pminus((p2in+p2out)/2.);
// COM test=pminus.dot(p1in);
Lmm=((-1.)*qsum*(MHmm) + (-2.*mjH1m.dot(pg))*mj2m+2.*mj2m.dot(pg)*mjH1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHmm/2.))/q3.m2();
Lmp=((-1.)*qsum*(MHmp) + (-2.*mjH1m.dot(pg))*mj2p+2.*mj2p.dot(pg)*mjH1m+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHmp/2.))/q3.m2();
Lpm=((-1.)*qsum*(MHpm) + (-2.*mjH1p.dot(pg))*mj2m+2.*mj2m.dot(pg)*mjH1p+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHpm/2.))/q3.m2();
Lpp=((-1.)*qsum*(MHpp) + (-2.*mjH1p.dot(pg))*mj2p+2.*mj2p.dot(pg)*mjH1p+(p1o/pg.dot(p1out) + p1i/pg.dot(p1in))*(q2.m2()*MHpp/2.))/q3.m2();
U1mm=(jgbm.dot(mjH1m)*j2gm+2.*p2o*MHmm)/(p2out+pg).m2();
U1mp=(jgbp.dot(mjH1m)*j2gp+2.*p2o*MHmp)/(p2out+pg).m2();
U1pm=(jgbm.dot(mjH1p)*j2gm+2.*p2o*MHpm)/(p2out+pg).m2();
U1pp=(jgbp.dot(mjH1p)*j2gp+2.*p2o*MHpp)/(p2out+pg).m2();
U2mm=((-1.)*j2gm.dot(mjH1m)*jgbm+2.*p2i*MHmm)/(p2in-pg).m2();
U2mp=((-1.)*j2gp.dot(mjH1m)*jgbp+2.*p2i*MHmp)/(p2in-pg).m2();
U2pm=((-1.)*j2gm.dot(mjH1p)*jgbm+2.*p2i*MHpm)/(p2in-pg).m2();
U2pp=((-1.)*j2gp.dot(mjH1p)*jgbp+2.*p2i*MHpp)/(p2in-pg).m2();
const double cf=RHEJ::C_F;
double amm,amp,apm,app;
amm=cf*(2.*vre(Lmm-U1mm,Lmm+U2mm))+2.*cf*cf/3.*vabs2(U1mm+U2mm);
amp=cf*(2.*vre(Lmp-U1mp,Lmp+U2mp))+2.*cf*cf/3.*vabs2(U1mp+U2mp);
apm=cf*(2.*vre(Lpm-U1pm,Lpm+U2pm))+2.*cf*cf/3.*vabs2(U1pm+U2pm);
app=cf*(2.*vre(Lpp-U1pp,Lpp+U2pp))+2.*cf*cf/3.*vabs2(U1pp+U2pp);
double ampsq=-(amm+amp+apm+app)/(q1.m2()*qH1.m2());
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) > 1.0000001)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// if ((vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm))/(2*vre(Lmm-U1mm,Lmm+U2mm)) < 0.9999999)
// std::cout << " Big Problem!! " << vabs2(Lmm-U1mm+U2mm)+vabs2(Lmm)-vabs2(U1mm)-vabs2(U2mm) << " " << 2*vre(Lmm-U1mm,Lmm+U2mm) << std::endl;
// Now add the t-channels for the Higgs
double th=qH2.m2()*q2.m2();
ampsq/=th;
ampsq/=16.;
ampsq*=4./9.*4./9.; // Factor of (Cf/Ca) for each quark to match MH2qQ.
//Higgs coupling is included in Hjets.C
const double K = K_g(p1out, p1in);
return ampsq*K/C_F; //ca/cf = 9/4
}
// Begin finite mass stuff
#ifdef RHEJ_BUILD_WITH_QCDLOOP
namespace {
// All the stuff needed for the box functions in qg->qgH now...
//COM E1(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM E1(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//CLHEP::HepLorentzVector q2=k3+k4;
CLHEP::HepLorentzVector q2=-(k1+k2+kh);
double Delta, Sigma, S1, S2, s12, s34;
S1 = 2.*k1.dot(q2);
S2 = 2.*k2.dot(q2);
s12 = 2.*k1.dot(k2);
//s34 = 2.*k3.dot(k4);
s34 = q2.m2();
Delta = s12*s34 - S1*S2;
Sigma = 4.*s12*s34 - pow(S1+S2,2);
return looprwfactor*(-s12*D0DD(k2, k1, q2, mq)*(1 - 8.*mq*mq/s12 + S2/(2.*s12) +
S2*(s12 - 8.*mq*mq)*(s34 + S1)/(2.*s12*Delta) +
2.*(s34 + S1)*(s34 + S1)/Delta +
S2*pow((s34 + S1),3)/Delta/Delta) - ((s12 + S2)*C0DD(k2,
k1 + q2, mq) -
s12*C0DD(k1, k2, mq) + (S1 - S2)*C0DD(k1 + k2, q2, mq) -
S1*C0DD(k1, q2,
mq))*(S2*(s12 - 4.*mq*mq)/(2.*s12*Delta) +
2.*(s34 + S1)/Delta +
S2*pow((s34 + S1),2)/Delta/Delta) + (C0DD(k1, q2, mq) -
C0DD(k1 + k2, q2, mq))*(1. - 4.*mq*mq/s12) -
C0DD(k1 + k2, q2, mq)*2.*s34/
S1 - (B0DD(k1 + q2, mq) -
B0DD(k1 + k2 + q2, mq))*2.*s34*(s34 +
S1)/(S1*Delta) + (B0DD(q2, mq) -
B0DD(k1 + k2 + q2, mq) +
s12*C0DD(k1 + k2, q2,
mq))*(2.*s34*(s34 +
S1)*(S1 - S2)/(Delta*Sigma) +
2.*s34*(s34 + S1)/(S1*Delta)) + (B0DD(k1 + k2, mq) -
B0DD(k1 + k2 + q2,
mq) - (s34 + S1 + S2)*C0DD(k1 + k2, q2, mq))*2.*(s34 +
S1)*(2.*s12*s34 -
S2*(S1 + S2))/(Delta*Sigma));
}
//COM F1(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM F1(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//CLHEP::HepLorentzVector q2=k3+k4;
CLHEP::HepLorentzVector q2 = -(k1+k2+kh);
double Delta, Sigma, S1, S2, s12, s34;
S1 = 2.*k1.dot(q2);
S2 = 2.*k2.dot(q2);
s12 = 2.*k1.dot(k2);
//s34 = 2.*k3.dot(k4);
s34 = q2.m2();
Delta = s12*s34 - S1*S2;
Sigma = 4.*s12*s34 - pow(S1+S2,2);
return looprwfactor*(-S2*D0DD(k1, k2, q2,
mq)*(0.5 - (s12 - 8.*mq*mq)*(s34 + S2)/(2.*Delta) -
s12*pow((s34 + S2),3)/Delta/Delta) + ((s12 + S1)*C0DD(k1,
k2 + q2, mq) -
s12*C0DD(k1, k2, mq) - (S1 - S2)*C0DD(k1 + k2, q2, mq) -
S2*C0DD(k2, q2,
mq))*(S2*(s12 - 4.*mq*mq)/(2.*s12*Delta) +
S2*pow((s34 + S2),2)/Delta/Delta) - (C0DD(k1 + k2, q2, mq) - C0DD(k1, k2 + q2, mq))*(1. - 4.*mq*mq/s12) -
C0DD(k1, k2 + q2, mq) + (B0DD(k2 + q2, mq) -
B0DD(k1 + k2 + q2,
mq))*2.*pow((s34 + S2),2)/((s12 + S1)*Delta) - (B0DD(
q2, mq) - B0DD(k1 + k2 + q2, mq) +
s12*C0DD(k1 + k2, q2, mq))*2.*s34*(s34 +
S2)*(S2 - S1)/(Delta*Sigma) + (B0DD(
k1 + k2, mq) -
B0DD(k1 + k2 + q2,
mq) - (s34 + S1 + S2)*C0DD(k1 + k2, q2, mq))*2.*(s34 +
S2)*(2.*s12*s34 -
S2*(S1 + S2))/(Delta*Sigma));
}
//COM G1(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM G1(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//CLHEP::HepLorentzVector q2=k3+k4;
CLHEP::HepLorentzVector q2 = -(k1+k2+kh);
double Delta, S1, S2, s12, s34;
S1 = 2.*k1.dot(q2);
S2 = 2.*k2.dot(q2);
s12 = 2.*k1.dot(k2);
//s34 = 2.*k3.dot(k4);
s34 = q2.m2();
Delta = s12*s34 - S1*S2;
return looprwfactor*(S2*D0DD(k1, q2, k2,
mq)*(Delta/s12/s12 - 4.*mq*mq/s12) -
S2*((s12 + S1)*C0DD(k1, k2 + q2, mq) -
S1*C0DD(k1, q2, mq))*(1./
s12/s12 - (s12 - 4.*mq*mq)/(2.*s12*Delta)) -
S2*((s12 + S2)*C0DD(k1 + q2, k2, mq) -
S2*C0DD(k2, q2, mq))*(1./
s12/s12 + (s12 - 4.*mq*mq)/(2.*s12*Delta)) -
C0DD(k1, q2, mq) - (C0DD(k1, k2 + q2, mq) -
C0DD(k1, q2, mq))*4.*mq*mq/
s12 + (B0DD(k1 + q2, mq) - B0DD(k1 + k2 + q2, mq))*2./
s12 + (B0DD(k1 + q2, mq) -
B0DD(q2, mq))*2.*s34/(s12*S1) + (B0DD(k2 + q2, mq) -
B0DD(k1 + k2 + q2, mq))*2.*(s34 + S2)/(s12*(s12 + S1)));
}
//COM E4(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM E4(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//CLHEP::HepLorentzVector q2=k3+k4;
CLHEP::HepLorentzVector q2 = -(k1+k2+kh);
double Delta, Sigma, S1, S2, s12, s34;
S1 = 2.*k1.dot(q2);
S2 = 2.*k2.dot(q2);
s12 = 2.*k1.dot(k2);
//s34 = 2.*k3.dot(k4);
s34 = q2.m2();
Delta = s12*s34 - S1*S2;
Sigma = 4.*s12*s34 - pow(S1+S2,2);
return looprwfactor* (-s12*D0DD(k2, k1, q2,
mq)*(0.5 - (S1 - 8.*mq*mq)*(s34 + S1)/(2.*Delta) -
s12*pow((s34 + S1),3)/Delta/Delta) + ((s12 + S2)*C0DD(k2,
k1 + q2, mq) -
s12*C0DD(k1, k2, mq) + (S1 - S2)*C0DD(k1 + k2, q2, mq) -
S1*C0DD(k1, q2, mq))*((S1 - 4.*mq*mq)/(2.*Delta) +
s12*pow((s34 + S1),2)/Delta/Delta) -
C0DD(k1 + k2, q2, mq) + (B0DD(k1 + q2, mq) -
B0DD(k1 + k2 + q2, mq))*(2.*s34/Delta +
2.*s12*(s34 + S1)/((s12 + S2)*Delta)) - (B0DD(
q2, mq) - B0DD(k1 + k2 + q2, mq) +
s12*C0DD(k1 + k2, q2,
mq))*((2.*s34*(2.*s12*s34 - S2*(S1 + S2) +
s12*(S1 -
S2)))/(Delta*Sigma)) + (B0DD(k1 + k2, mq) -
B0DD(k1 + k2 + q2, mq) - (s34 + S1 + S2)*C0DD(k1 + k2, q2, mq))*((2.*s12*(2.*s12*s34 - S1*(S1 + S2) +
s34*(S2 - S1)))/(Delta*Sigma)));
}
//COM F4(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM F4(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//CLHEP::HepLorentzVector q2=k3+k4;
CLHEP::HepLorentzVector q2 = -(k1+k2+kh);
double Delta, Sigma, S1, S2, s12, s34;
S1 = 2.*k1.dot(q2);
S2 = 2.*k2.dot(q2);
s12 = 2.*k1.dot(k2);
//s34 = 2.*k3.dot(k4);
s34 = q2.m2();
Delta = s12*s34 - S1*S2;
Sigma = 4.*s12*s34 - pow(S1+S2,2);
return looprwfactor* (-s12*D0DD(k1, k2, q2,
mq)*(0.5 + (S1 - 8.*mq*mq)*(s34 + S2)/(2.*Delta) +
s12*pow((s34 + S2),3)/Delta/Delta) - ((s12 + S1)*C0DD(k1,
k2 + q2, mq) -
s12*C0DD(k1, k2, mq) - (S1 - S2)*C0DD(k1 + k2, q2, mq) -
S2*C0DD(k2, q2, mq))*((S1 - 4.*mq*mq)/(2.*Delta) +
s12*pow((s34 + S2),2)/Delta/Delta) -
C0DD(k1 + k2, q2, mq) - (B0DD(k2 + q2, mq) -
B0DD(k1 + k2 + q2, mq))*2.*(s34 +
S2)/Delta + (B0DD(q2, mq) -
B0DD(k1 + k2 + q2, mq) +
s12*C0DD(k1 + k2, q2, mq))*2.*s34*(2.*s12*s34 -
S1*(S1 + S2) +
s12*(S2 - S1))/(Delta*Sigma) - (B0DD(k1 + k2, mq) -
B0DD(k1 + k2 + q2, mq) - (s34 + S1 + S2)*C0DD(k1 + k2, q2, mq))*(2.*s12*(2.*s12*s34 - S2*(S1 + S2) +
s34*(S1 - S2))/(Delta*Sigma)));
}
//COM G4(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM G4(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//CLHEP::HepLorentzVector q2=k3+k4;
CLHEP::HepLorentzVector q2 = -(k1+k2+kh);
double Delta, S1, S2, s12, s34;
S1 = 2.*k1.dot(q2);
S2 = 2.*k2.dot(q2);
s12 = 2.*k1.dot(k2);
//s34 = 2.*k3.dot(k4);
s34 = q2.m2();
Delta = s12*s34 - S1*S2;
return looprwfactor* (-D0DD(k1, q2, k2,
mq)*(Delta/s12 + (s12 + S1)/2. -
4.*mq*mq) + ((s12 + S1)*C0DD(k1, k2 + q2, mq) -
S1*C0DD(k1, q2, mq))*(1./
s12 - (S1 - 4.*mq*mq)/(2.*Delta)) + ((s12 + S2)*C0DD(
k1 + q2, k2, mq) -
S2*C0DD(k2, q2, mq))*(1./
s12 + (S1 - 4.*mq*mq)/(2.*Delta)) + (B0DD(
k1 + k2 + q2, mq) -
B0DD(k1 + q2, mq))*2./(s12 + S2));
}
//COM E10(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM E10(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//CLHEP::HepLorentzVector q2=k3+k4;
CLHEP::HepLorentzVector q2 = -(k1+k2+kh);
double Delta, Sigma, S1, S2, s12, s34;
S1 = 2.*k1.dot(q2);
S2 = 2.*k2.dot(q2);
s12 = 2.*k1.dot(k2);
//s34 = 2.*k3.dot(k4);
s34 = q2.m2();
Delta = s12*s34 - S1*S2;
Sigma = 4.*s12*s34 - pow(S1+S2,2);
return looprwfactor*(-s12*D0DD(k2, k1, q2, mq)*((s34 + S1)/Delta +
12.*mq*mq*S1*(s34 + S1)/Delta/Delta -
4.*s12*S1*pow((s34 + S1),3)/Delta/Delta/Delta) - ((s12 + S2)*C0DD(k2, k1 + q2, mq) -
s12*C0DD(k1, k2, mq) + (S1 - S2)*C0DD(k1 + k2, q2, mq) -
S1*C0DD(k1, q2, mq))*(1./Delta +
4.*mq*mq*S1/Delta/Delta -
4.*s12*S1*pow((s34 + S1),2)/Delta/Delta/Delta) +
C0DD(k1 + k2, q2, mq)*(4.*s12*s34*(S1 - S2)/(Delta*Sigma) -
4.*(s12 -
2.*mq*mq)*(2.*s12*s34 -
S1*(S1 + S2))/(Delta*Sigma)) + (B0DD(k1 + q2, mq) -
B0DD(k1 + k2 + q2, mq))*(4.*(s34 + S1)/((s12 + S2)*Delta) +
8.*S1*(s34 + S1)/Delta/Delta) + (B0DD(q2, mq) -
B0DD(k1 + k2 + q2, mq) +
s12*C0DD(k1 + k2, q2, mq))*(12.*s34*(2.*s12 + S1 +
S2)*(2.*s12*s34 -
S1*(S1 + S2))/(Delta*Sigma*Sigma) -
4.*s34*(4.*s12 + 3.*S1 +
S2)/(Delta*Sigma) +
8.*s12*s34*(s34*(s12 + S2) -
S1*(s34 +
S1))/(Delta*Delta*Sigma)) + (B0DD(k1 + k2, mq) -
B0DD(k1 + k2 + q2, mq) - (s34 + S1 + S2)*C0DD(k1 + k2, q2,
mq))*(12.*s12*(2.*s34 + S1 +
S2)*(2.*s12*s34 -
S1*(S1 + S2))/(Delta*Sigma*Sigma) +
8.*s12*S1*(s34*(s12 + S2) -
S1*(s34 +
S1))/(Delta*Delta*Sigma))) + (COM(0.,1.)/(4.*M_PI*M_PI))*((2.*s12*s34 -
S1*(S1 + S2))/(Delta*Sigma));
}
//COM F10(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM F10(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//CLHEP::HepLorentzVector q2=k3+k4;
CLHEP::HepLorentzVector q2 = -(k1+k2+kh);
double Delta, Sigma, S1, S2, s12, s34;
S1 = 2.*k1.dot(q2);
S2 = 2.*k2.dot(q2);
s12 = 2.*k1.dot(k2);
//s34 = 2.*k3.dot(k4);
s34 = q2.m2();
Delta = s12*s34 - S1*S2;
Sigma = 4.*s12*s34 - pow(S1+S2,2);
return looprwfactor* (s12*D0DD(k1, k2, q2,
mq)*((s34 + S2)/Delta - 4.*mq*mq/Delta +
12.*mq*mq*s34*(s12 + S1)/Delta/Delta -
4.*s12*pow((s34 + S2),2)/Delta/Delta -
4.*s12*S1*pow((s34 + S2),3)/Delta/Delta/Delta) + ((s12 + S1)*C0DD(k1, k2 + q2, mq) -
s12*C0DD(k1, k2, mq) - (S1 - S2)*C0DD(k1 + k2, q2, mq) -
S2*C0DD(k2, q2, mq))*(1./Delta +
4.*mq*mq*S1/Delta/Delta -
4.*s12*(s34 + S2)/Delta/Delta -
4.*s12*S1*pow((s34 + S2),2)/Delta/Delta/Delta) -
C0DD(k1 + k2, q2, mq)*(4.*s12*s34/(S2*Delta) +
4.*s12*s34*(S2 - S1)/(Delta*Sigma) +
4.*(s12 -
2.*mq*mq)*(2.*s12*s34 -
S1*(S1 + S2))/(Delta*Sigma)) - (B0DD(
k2 + q2, mq) -
B0DD(k1 + k2 + q2, mq))*(4.*s34/(S2*Delta) +
8.*s34*(s12 + S1)/Delta/Delta) - (B0DD(q2, mq) -
B0DD(k1 + k2 + q2, mq) +
s12*C0DD(k1 + k2, q2,
mq))*(-12*s34*(2*s12 + S1 +
S2)*(2.*s12*s34 -
S1*(S1 + S2))/(Delta*Sigma*Sigma) -
4.*s12*s34*s34/(S2*Delta*Delta) +
4.*s34*S1/(Delta*Sigma) -
4.*s34*(s12*s34*(2.*s12 + S2) -
S1*S1*(2.*s12 +
S1))/(Delta*Delta*Sigma)) - (B0DD(k1 + k2, mq) -
B0DD(k1 + k2 + q2, mq) - (s34 + S1 + S2)*C0DD(k1 + k2, q2, mq))*(-12.*s12*(2.*s34 + S1 +
S2)*(2.*s12*s34 -
S1*(S1 + S2))/(Delta*Sigma*Sigma) +
8.*s12*(2.*s34 + S1)/(Delta*Sigma) -
8.*s12*s34*(2.*s12*s34 - S1*(S1 + S2) +
s12*(S2 -
S1))/(Delta*Delta*Sigma))) + (COM(0.,1.)/(4.*M_PI*M_PI))*((2.*s12*s34 -
S1*(S1 + S2))/(Delta*Sigma));
}
//COM G10(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM G10(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//CLHEP::HepLorentzVector q2=k3+k4;
CLHEP::HepLorentzVector q2 = -(k1+k2+kh);
double Delta, S1, S2, s12, s34;
S1 = 2.*k1.dot(q2);
S2 = 2.*k2.dot(q2);
s12 = 2.*k1.dot(k2);
//s34 = 2.*k3.dot(k4);
s34 = q2.m2();
Delta = s12*s34 - S1*S2;
return looprwfactor* (-D0DD(k1, q2, k2, mq)*(1. +
4.*S1*mq*mq/Delta) + ((s12 + S1)*C0DD(k1,
k2 + q2, mq) -
S1*C0DD(k1, q2, mq))*(1./Delta +
4.*S1*mq*mq/Delta/Delta) - ((s12 + S2)*C0DD(k1 + q2,
k2, mq) - S2*C0DD(k2, q2, mq))*(1./Delta +
4.*S1*mq*mq/Delta/Delta) + (B0DD(k1 + k2 + q2, mq) -
B0DD(k1 + q2, mq))*4.*(s34 +
S1)/(Delta*(s12 + S2)) + (B0DD(q2, mq) -
B0DD(k2 + q2, mq))*4.*s34/(Delta*S2));
}
//COM H1(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM H1(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//return E1(k1,k2,k3,k4,mq)+F1(k1,k2,k3,k4,mq)+G1(k1,k2,k3,k4,mq);
return E1(k1,k2,kh,mq)+F1(k1,k2,kh,mq)+G1(k1,k2,kh,mq);
}
//COM H4(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM H4(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//return E4(k1,k2,k3,k4,mq)+F4(k1,k2,k3,k4,mq)+G4(k1,k2,k3,k4,mq);
return E4(k1,k2,kh,mq)+F4(k1,k2,kh,mq)+G4(k1,k2,kh,mq);
}
//COM H10(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM H10(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//return E10(k1,k2,k3,k4,mq)+F10(k1,k2,k3,k4,mq)+G10(k1,k2,k3,k4,mq);
return E10(k1,k2,kh,mq)+F10(k1,k2,kh,mq)+G10(k1,k2,kh,mq);
}
//COM H2(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM H2(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//return -1.*H1(k2,k1,k3,k4,mq);
return -1.*H1(k2,k1,kh,mq);
}
//COM H5(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM H5(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//return -1.*H4(k2,k1,k3,k4,mq);
return -1.*H4(k2,k1,kh,mq);
}
//COM H12(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector k3, CLHEP::HepLorentzVector k4, double mq)
COM H12(CLHEP::HepLorentzVector k1, CLHEP::HepLorentzVector k2, CLHEP::HepLorentzVector kh, double mq)
{
//return -1.*H10(k2,k1,k3,k4,mq);
return -1.*H10(k2,k1,kh,mq);
}
// FL and FT functions
COM FL(CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2, double mq)
{
CLHEP::HepLorentzVector Q = q1 + q2;
double detQ2 = q1.m2()*q2.m2() - q1.dot(q2)*q1.dot(q2);
return -1./(2.*detQ2)*((2.-
3.*q1.m2()*q2.dot(Q)/detQ2)*(B0DD(q1, mq) -
B0DD(Q, mq)) + (2. -
3.*q2.m2()*q1.dot(Q)/detQ2)*(B0DD(q2, mq) -
B0DD(Q, mq)) - (4.*mq*mq + q1.m2() + q2.m2() +
Q.m2() - 3.*q1.m2()*q2.m2()*Q.m2()/detQ2)*C0DD(
q1, q2, mq) - 2.);
}
COM FT(CLHEP::HepLorentzVector q1, CLHEP::HepLorentzVector q2, double mq)
{
CLHEP::HepLorentzVector Q = q1 + q2;
double detQ2 = q1.m2()*q2.m2() - q1.dot(q2)*q1.dot(q2);
return -1./(2.*detQ2)*(Q.m2()*(B0DD(q1, mq) + B0DD(q2, mq) - 2.*B0DD(Q, mq) -
2.*q1.dot(q2)*C0DD(q1, q2, mq)) + (q1.m2() -
q2.m2()) *(B0DD(q1, mq) - B0DD(q2, mq))) -
q1.dot(q2)*FL(q1, q2, mq);
}
CLHEP::HepLorentzVector ParityFlip(CLHEP::HepLorentzVector p)
{
CLHEP::HepLorentzVector flippedVector;
flippedVector.setE(p.e());
flippedVector.setX(-p.x());
flippedVector.setY(-p.y());
flippedVector.setZ(-p.z());
return flippedVector;
}
/// @brief HC amp for qg->qgH with finite top (i.e. j^{++}_H)
void g_gH_HC(CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector p1,
CLHEP::HepLorentzVector pH, double mq, current &retAns)
{
current cura1,pacur,p1cur,pHcur,conjeps1,conjepsH1,epsa,epsHa,epsHapart1,
epsHapart2,conjepsH1part1,conjepsH1part2;
COM ang1a,sqa1;
const double F = 4.*mq*mq/v;
// Easier to have the whole thing as current object so I can use cdot functionality.
// Means I need to write pa,p1 as current objects
to_current(pa, pacur);
to_current(p1,p1cur);
to_current(pH,pHcur);
bool gluonforward = true;
if(pa.z() < 0)
gluonforward = false;
//HEJ gauge
jio(pa,false,p1,false,cura1);
if(gluonforward){
// sqrt(2pa_-/p1_-)*p1_perp/abs(p1_perp)
ang1a = sqrt(pa.plus()*p1.minus())*(p1.x()+COM(0.,1.)*p1.y())/p1.perp();
// sqrt(2pa_-/p1_-)*p1_perp*/abs(p1_perp)
sqa1 = sqrt(pa.plus()*p1.minus())*(p1.x()-COM(0.,1.)*p1.y())/p1.perp();
} else {
ang1a = sqrt(pa.minus()*p1.plus());
sqa1 = sqrt(pa.minus()*p1.plus());
}
const double prop = (pa-p1-pH).m2();
cmult(-1./sqrt(2)/ang1a,cura1,conjeps1);
cmult(1./sqrt(2)/sqa1,cura1,epsa);
const COM Fta = FT(-pa,pa-pH,mq)/(pa-pH).m2();
const COM Ft1 = FT(-p1-pH,p1,mq)/(p1+pH).m2();
const COM h4 = H4(p1,-pa,pH,mq);
const COM h5 = H5(p1,-pa,pH,mq);
const COM h10 = H10(p1,-pa,pH,mq);
const COM h12 = H12(p1,-pa,pH,mq);
cmult(Fta*pa.dot(pH), epsa, epsHapart1);
cmult(-1.*Fta*cdot(pHcur,epsa), pacur, epsHapart2);
cmult(Ft1*cdot(pHcur,conjeps1), p1cur, conjepsH1part1);
cmult(-Ft1*p1.dot(pH), conjeps1, conjepsH1part2);
cadd(epsHapart1, epsHapart2, epsHa);
cadd(conjepsH1part1, conjepsH1part2, conjepsH1);
const COM aH1 = cdot(pHcur, cura1);
current T1,T2,T3,T4,T5,T6,T7,T8,T9,T10;
if(gluonforward){
cmult(sqrt(2.)*sqrt(p1.plus()/pa.plus())*prop/sqa1, conjepsH1, T1);
cmult(-sqrt(2.)*sqrt(pa.plus()/p1.plus())*prop/ang1a, epsHa, T2);
}
else{
cmult(-sqrt(2.)*sqrt(p1.minus()/pa.minus())
*((p1.x()-COM(0.,1.)*p1.y())/p1.perp())*prop/sqa1, conjepsH1, T1);
cmult(sqrt(2.)*sqrt(pa.minus()/p1.minus())
*((p1.x()-COM(0.,1.)*p1.y())/p1.perp())*prop/ang1a, epsHa, T2);
}
cmult(sqrt(2.)/ang1a*aH1, epsHa, T3);
cmult(sqrt(2.)/sqa1*aH1, conjepsH1, T4);
cmult(-sqrt(2.)*Fta*pa.dot(p1)*aH1/sqa1, conjeps1, T5);
cmult(-sqrt(2.)*Ft1*pa.dot(p1)*aH1/ang1a, epsa, T6);
cmult(-aH1/sqrt(2.)/sqa1*h4*8.*COM(0.,1.)*M_PI*M_PI, conjeps1, T7);
cmult(aH1/sqrt(2.)/ang1a*h5*8.*COM(0.,1.)*M_PI*M_PI, epsa, T8);
cmult(aH1*aH1/2./ang1a/sqa1*h10*8.*COM(0.,1.)*M_PI*M_PI, pacur, T9);
cmult(-aH1*aH1/2./ang1a/sqa1*h12*8.*COM(0.,1.)*M_PI*M_PI, p1cur, T10);
current ans;
for(int i=0;i<4;i++)
{
ans[i] = T1[i]+T2[i]+T3[i]+T4[i]+T5[i]+T6[i]+T7[i]+T8[i]+T9[i]+T10[i];
}
retAns[0] = F/prop*ans[0];
retAns[1] = F/prop*ans[1];
retAns[2] = F/prop*ans[2];
retAns[3] = F/prop*ans[3];
}
/// @brief HNC amp for qg->qgH with finite top (i.e. j^{+-}_H)
void g_gH_HNC(CLHEP::HepLorentzVector pa, CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector pH, double mq, current &retAns)
{
const double F = 4.*mq*mq/v;
COM ang1a,sqa1;
current conjepsH1,epsHa,p1cur,pacur,pHcur,conjeps1,epsa,paplusp1cur,
p1minuspacur,cur1a,cura1,epsHapart1,epsHapart2,conjepsH1part1,
conjepsH1part2;
// Find here if pa, meaning the gluon, is forward or backward
bool gluonforward = true;
if(pa.z() < 0)
gluonforward = false;
jio(pa,true,p1,true,cura1);
j(p1,true,pa,true,cur1a);
to_current(pa,pacur);
to_current(p1,p1cur);
to_current(pH,pHcur);
to_current(pa+p1,paplusp1cur);
to_current(p1-pa,p1minuspacur);
const COM aH1 = cdot(pHcur,cura1);
const COM oneHa = std::conj(aH1); // = cdot(pHcur,cur1a)
if(gluonforward){
// sqrt(2pa_-/p1_-)*p1_perp/abs(p1_perp)
ang1a = sqrt(pa.plus()*p1.minus())*(p1.x()+COM(0.,1.)*p1.y())/p1.perp();
// sqrt(2pa_-/p1_-)*p1_perp*/abs(p1_perp)
sqa1 = sqrt(pa.plus()*p1.minus())*(p1.x()-COM(0.,1.)*p1.y())/p1.perp();
}
else {
ang1a = sqrt(pa.minus()*p1.plus());
sqa1 = sqrt(pa.minus()*p1.plus());
}
const double prop = (pa-p1-pH).m2();
cmult(1./sqrt(2)/sqa1, cur1a, epsa);
cmult(-1./sqrt(2)/sqa1, cura1, conjeps1);
const COM phase = cdot(conjeps1, epsa);
const COM Fta = FT(-pa,pa-pH,mq)/(pa-pH).m2();
const COM Ft1 = FT(-p1-pH,p1,mq)/(p1+pH).m2();
const COM Falpha = FT(p1-pa,pa-p1-pH,mq);
const COM Fbeta = FL(p1-pa,pa-p1-pH,mq);
const COM h1 = H1(p1,-pa, pH, mq);
const COM h2 = H2(p1,-pa, pH, mq);
const COM h4 = H4(p1,-pa, pH, mq);
const COM h5 = H5(p1,-pa, pH, mq);
const COM h10 = H10(p1,-pa, pH, mq);
const COM h12 = H12(p1,-pa, pH, mq);
cmult(Fta*pa.dot(pH), epsa, epsHapart1);
cmult(-1.*Fta*cdot(pHcur,epsa), pacur, epsHapart2);
cmult(Ft1*cdot(pHcur,conjeps1), p1cur, conjepsH1part1);
cmult(-Ft1*p1.dot(pH), conjeps1, conjepsH1part2);
cadd(epsHapart1, epsHapart2, epsHa);
cadd(conjepsH1part1, conjepsH1part2, conjepsH1);
current T1,T2,T3,T4,T5a,T5b,T6,T7,T8a,T8b,T9,T10,T11a,
T11b,T12a,T12b,T13;
if(gluonforward){
cmult(sqrt(2.)*sqrt(p1.plus()/pa.plus())*prop/sqa1, conjepsH1, T1);
cmult(-sqrt(2.)*sqrt(pa.plus()/p1.plus())*prop/sqa1, epsHa, T2);
}
else{
cmult(-sqrt(2.)*sqrt(p1.minus()/pa.minus())*((p1.x()-COM(0.,1.)*p1.y())/p1.perp())
*prop/sqa1, conjepsH1, T1);
cmult(sqrt(2.)*sqrt(pa.minus()/p1.minus())*((p1.x()+COM(0.,1.)*p1.y())/p1.perp())
*prop/sqa1, epsHa, T2);
}
const COM boxdiagFact = 8.*COM(0.,1.)*M_PI*M_PI;
cmult(aH1*sqrt(2.)/sqa1, epsHa, T3);
cmult(oneHa*sqrt(2.)/sqa1, conjepsH1, T4);
cmult(-2.*phase*Fta*pa.dot(pH), p1cur, T5a);
cmult(2.*phase*Ft1*p1.dot(pH), pacur, T5b);
cmult(-sqrt(2.)*Fta*p1.dot(pa)*oneHa/sqa1, conjeps1, T6);
cmult(-sqrt(2.)*Ft1*pa.dot(p1)*aH1/sqa1, epsa, T7);
cmult(-boxdiagFact*phase*h2, pacur, T8a);
cmult(boxdiagFact*phase*h1, p1cur, T8b);
cmult(boxdiagFact*aH1/sqrt(2.)/sqa1*h5, epsa, T9);
cmult(-boxdiagFact*oneHa/sqrt(2.)/sqa1*h4, conjeps1, T10);
cmult(boxdiagFact*aH1*oneHa/2./sqa1/sqa1*h10, pacur, T11a);
cmult(-boxdiagFact*aH1*oneHa/2./sqa1/sqa1*h12, p1cur, T11b);
cmult(-phase/(pa-p1).m2()*Falpha*(p1-pa).dot(pa-p1-pH), paplusp1cur, T12a);
cmult(phase/(pa-p1).m2()*Falpha*(pa+p1).dot(pa-p1-pH), p1minuspacur, T12b);
cmult(-phase*Fbeta*(pa-p1-pH).m2(), paplusp1cur, T13);
current ans;
for(int i=0;i<4;i++)
{
ans[i] = T1[i]+T2[i]+T3[i]+T4[i]+T5a[i]+T5b[i]+T6[i]+T7[i]+T8a[i]+T8b[i]+T9[i]+T10[i]+T11a[i]+T11b[i]+T12a[i]+T12b[i]+T13[i];
}
retAns[0] = F/prop*ans[0];
retAns[1] = F/prop*ans[1];
retAns[2] = F/prop*ans[2];
retAns[3] = F/prop*ans[3];
}
} // namespace anonymous
// JDC - new amplitude with Higgs emitted close to gluon with full mt effects. Keep usual HEJ-style function call
double MH2gq_outsideH(CLHEP::HepLorentzVector p1out, CLHEP::HepLorentzVector p1in, CLHEP::HepLorentzVector p2out, CLHEP::HepLorentzVector p2in, CLHEP::HepLorentzVector pH, double mq, bool includeBottom, double mq2)
{
current cur2bplus,cur2bminus, cur2bplusFlip, cur2bminusFlip;
current retAns,retAnsb;
j(p2out,true,p2in,true,cur2bplus);
j(p2out,false,p2in,false,cur2bminus);
j(ParityFlip(p2out),true,ParityFlip(p2in),true,cur2bplusFlip);
j(ParityFlip(p2out),false,ParityFlip(p2in),false,cur2bminusFlip);
COM app1,app2,apm1,apm2;
COM app3, app4, apm3, apm4;
if(!includeBottom)
{
g_gH_HC(p1in,p1out,pH,mq,retAns);
app1=cdot(retAns,cur2bplus);
app2=cdot(retAns,cur2bminus);
g_gH_HC(ParityFlip(p1in),ParityFlip(p1out),ParityFlip(pH),mq,retAns);
app3=cdot(retAns,cur2bplusFlip);
app4=cdot(retAns,cur2bminusFlip);
// And non-conserving bits
g_gH_HNC(p1in,p1out,pH,mq,retAns);
apm1=cdot(retAns,cur2bplus);
apm2=cdot(retAns,cur2bminus);
g_gH_HNC(ParityFlip(p1in),ParityFlip(p1out),ParityFlip(pH),mq,retAns);
apm3=cdot(retAns,cur2bplusFlip);
apm4=cdot(retAns,cur2bminusFlip);
} else {
g_gH_HC(p1in,p1out,pH,mq,retAns);
g_gH_HC(p1in,p1out,pH,mq2,retAnsb);
app1=cdot(retAns,cur2bplus) + cdot(retAnsb,cur2bplus);
app2=cdot(retAns,cur2bminus) + cdot(retAnsb,cur2bminus);
g_gH_HC(ParityFlip(p1in),ParityFlip(p1out),ParityFlip(pH),mq,retAns);
g_gH_HC(ParityFlip(p1in),ParityFlip(p1out),ParityFlip(pH),mq2,retAnsb);
app3=cdot(retAns,cur2bplusFlip) + cdot(retAnsb,cur2bplusFlip);
app4=cdot(retAns,cur2bminusFlip) + cdot(retAnsb,cur2bminusFlip);
// And non-conserving bits
g_gH_HNC(p1in,p1out,pH,mq,retAns);
g_gH_HNC(p1in,p1out,pH,mq2,retAnsb);
apm1=cdot(retAns,cur2bplus) + cdot(retAnsb,cur2bplus);
apm2=cdot(retAns,cur2bminus) + cdot(retAnsb,cur2bminus);
g_gH_HNC(ParityFlip(p1in),ParityFlip(p1out),ParityFlip(pH),mq,retAns);
g_gH_HNC(ParityFlip(p1in),ParityFlip(p1out),ParityFlip(pH),mq2,retAnsb);
apm3=cdot(retAns,cur2bplusFlip) + cdot(retAnsb,cur2bplusFlip);
apm4=cdot(retAns,cur2bminusFlip) + cdot(retAnsb,cur2bminusFlip);
}
return abs2(app1) + abs2(app2) + abs2(app3) + abs2(app4) + abs2(apm1)
+ abs2(apm2) + abs2(apm3) + abs2(apm4);
}
#endif // RHEJ_BUILD_WITH_QCDLOOP
double C2gHgm(CLHEP::HepLorentzVector p2, CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector pH)
{
static double A=1./(3.*M_PI*v);
// Implements Eq. (4.22) in hep-ph/0301013 with modifications to incoming plus momenta
double s12,p1p,p2p;
COM p1perp,p3perp,phperp;
// Determine first whether this is the case p1p\sim php>>p3p og the opposite
s12=p1.invariantMass2(-p2);
if (p2.pz()>0.) { // case considered in hep-ph/0301013
p1p=p1.plus();
p2p=p2.plus();
} else { // opposite case
p1p=p1.minus();
p2p=p2.minus();
}
p1perp=p1.px()+COM(0,1)*p1.py();
phperp=pH.px()+COM(0,1)*pH.py();
p3perp=-(p1perp+phperp);
COM temp=COM(0,1)*A/(2.*s12)*(p2p/p1p*conj(p1perp)*p3perp+p1p/p2p*p1perp*conj(p3perp));
temp=temp*conj(temp);
return temp.real();
}
double C2gHgp(CLHEP::HepLorentzVector p2, CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector pH)
{
static double A=1./(3.*M_PI*v);
// Implements Eq. (4.23) in hep-ph/0301013
double s12,php,p1p,phm;
COM p1perp,p3perp,phperp;
// Determine first whether this is the case p1p\sim php>>p3p og the opposite
s12=p1.invariantMass2(-p2);
if (p2.pz()>0.) { // case considered in hep-ph/0301013
php=pH.plus();
phm=pH.minus();
p1p=p1.plus();
} else { // opposite case
php=pH.minus();
phm=pH.plus();
p1p=p1.minus();
}
p1perp=p1.px()+COM(0,1)*p1.py();
phperp=pH.px()+COM(0,1)*pH.py();
p3perp=-(p1perp+phperp);
COM temp=-COM(0,1)*A/(2.*s12)*(conj(p1perp*p3perp)*pow(php/p1p,2)/(1.+php/p1p)+s12*(pow(conj(phperp),2)/(pow(abs(phperp),2)+p1p*phm)-pow(conj(p3perp)+(1.+php/p1p)*conj(p1perp),2)/((1.+php/p1p)*(pH.m2()+2.*p1.dot(pH)))));
temp=temp*conj(temp);
return temp.real();
}
double C2qHqm(CLHEP::HepLorentzVector p2, CLHEP::HepLorentzVector p1, CLHEP::HepLorentzVector pH)
{
static double A=1./(3.*M_PI*v);
// Implements Eq. (4.22) in hep-ph/0301013
double s12,p2p,p1p;
COM p1perp,p3perp,phperp;
// Determine first whether this is the case p1p\sim php>>p3p og the opposite
s12=p1.invariantMass2(-p2);
if (p2.pz()>0.) { // case considered in hep-ph/0301013
p2p=p2.plus();
p1p=p1.plus();
} else { // opposite case
p2p=p2.minus();
p1p=p1.minus();
}
p1perp=p1.px()+COM(0,1)*p1.py();
phperp=pH.px()+COM(0,1)*pH.py();
p3perp=-(p1perp+phperp);
COM temp=A/(2.*s12)*(sqrt(p2p/p1p)*p3perp*conj(p1perp)+sqrt(p1p/p2p)*p1perp*conj(p3perp));
temp=temp*conj(temp);
return temp.real();
}