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diff --git a/current_generator/juno_jgh.frm b/current_generator/juno_jgh.frm
new file mode 100644
index 0000000..99dd324
--- /dev/null
+++ b/current_generator/juno_jgh.frm
@@ -0,0 +1,73 @@
+*/**
+* \brief Contraction of unordered current with g -> h current
+*
+* \authors The HEJ collaboration (see AUTHORS for details)
+* \date 2020
+* \copyright GPLv2 or later
+*/
+#include- include/helspin.frm
+#include- include/write.frm
+
+v pb,pa,p1,pg,q2,q3,p,pr,pr2,pH,pH1,pH2;
+i mu,nu,sigma;
+s h,foo,bar;
+
+#do h1={+,-}
+* eq:juno in developer manual with p1 -> pg, p2 -> p1
+ l [U1_jgh `h1'] = (
+ + Current(`h1'1, p1, nu, pg)*Current(`h1'1, pg, mu, pa)
+ + 2*p1(nu)*Current(`h1'1, p1, mu, pa)
+ )/m2(p1 + pg);
+ l [U2_jgh `h1'] = (
+ + 2*Current(`h1'1, p1, mu, pa)*pa(nu)
+ - Current(`h1'1, p1, mu, pg)*Current(`h1'1, pg, nu, pa)
+ )/m2(pa - pg);
+ l [L_jgh `h1'] = (
+ - (q2(nu) + q3(nu))*Current(`h1'1, p1, mu, pa)
+ - 2*pg(mu)*Current(`h1'1, p1, nu, pa)
+ + 2*Current(`h1'1, p1, pg, pa)*d_(mu, nu)
+ + m2(q2)*Current(`h1'1, p1, mu, pa)*(pH(nu)/m2(pH+pg) + pb(nu)/m2(pb+pg))
+ )/m2(q3);
+#enddo
+multiply replace_(
+ q2,p1+pg-pa,
+ q3,p1-pa
+);
+.sort
+drop;
+
+* multiply with polarisation vector and other current
+#do h1={+,-}
+ #do h2={+,-}
+ #do hg={+,-}
+ #do TENSOR={U1_jgh,U2_jgh,L_jgh}
+ l [`TENSOR' `h1'`h2'`hg'] = (
+ [`TENSOR' `h1']
+ *Eps(`hg'1, nu, pg, pr)
+ *VH(mu, sigma, pb, pb-pH)
+ *Eps(`h2'1, sigma, pb, pr2)
+ );
+ #enddo
+ #enddo
+ #enddo
+#enddo
+
+* choice of auxiliary vectors
+multiply replace_(
+ pr,p1,
+ pr2,p1
+);
+
+multiply replace_(pH, pH1+pH2);
+.sort
+#call ContractCurrents
+id sqrt(2)*sqrt(2) = 2;
+.sort
+format O4;
+format c;
+#call WriteHeader(`OUTPUT')
+#do UNOTENSOR={U1,U2,L}
+ #call WriteOptimised(`OUTPUT',`UNOTENSOR'_jgh,3,pg,p1,pa,pH1,pH2,pb,COMPLEX:,T1,T2)
+#enddo
+#call WriteFooter(`OUTPUT')
+.end
diff --git a/include/HEJ/Hjets.hh b/include/HEJ/Hjets.hh
index c71ffd4..e7f666d 100644
--- a/include/HEJ/Hjets.hh
+++ b/include/HEJ/Hjets.hh
@@ -1,361 +1,383 @@
/**
* \authors The HEJ collaboration (see AUTHORS for details)
* \date 2019-2020
* \copyright GPLv2 or later
*/
/** \file
* \brief Functions computing the square of current contractions in H+Jets.
*
* This file contains all the H+Jet specific components to compute
* the current contractions for valid HEJ processes, to form a full
* H+Jets ME, currently one would have to use functions from the
* jets.hh header also. We have FKL and also unordered components for
* H+Jets.
*/
#pragma once
#include "CLHEP/Vector/LorentzVector.h"
namespace HEJ {
namespace currents {
using HLV = CLHEP::HepLorentzVector;
//! 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 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
* @param vev Vacuum expectation value
* @returns Square of the current contractions for gg->gg
*
* g~p1 g~p2
* should be called with qH1 meant to be contracted with p2 in first part of
* vertex (i.e. if g is backward, qH1 is forward)
*/
double ME_H_gg(HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in,
HLV const & qH1, HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
/**
* @brief Square of gq->Hq current contraction
* @param ph Outgoing Higgs boson momentum
* @param pg Incoming gluon momentum
* @param pn Momentum of outgoing particle in FKL current
* @param pb Momentum of incoming particle in FKL current
* @param mt top mass (inf or value)
* @param inc_bottom whether to include bottom mass effects (true) or not (false)
* @param mb bottom mass (value)
* @param vev Higgs vacuum expectation value
*
* Calculates helicity-averaged || \epsilon_\mu V_H^{\mu\nu} j_\nu ||^2.
* See eq:S_gf_Hf in developer manual
*/
double ME_jgH_j(
HLV const & ph, HLV const & pg,
HLV const & pn, HLV const & pb,
double mt, bool inc_bottom, double mb, double vev
);
+ /**
+ * @brief Square of qg -> gqH current contraction
+ * @param pg Outgoing (unordered) gluon momentum
+ * @param ph Outgoing quark momentum
+ * @param pa Incoming quark momentum
+ * @param ph Outgoing Higgs boson momentum
+ * @param pb Incoming gluon momentum
+ * @param mt top mass (inf or value)
+ * @param inc_bottom whether to include bottom mass effects (true) or not (false)
+ * @param mb bottom mass (value)
+ * @param vev Higgs vacuum expectation value
+ *
+ * Calculates helicity-averaged || j_{uno \mu} V_H^{\mu\nu} \epsilon_\nu ||^2.
+ * See eq:S_gf_Hf in developer manual
+ */
+ double ME_juno_jgH(
+ HLV const & pg,
+ HLV const & p1, HLV const & pa,
+ HLV const & ph, HLV const & pb,
+ double mt, bool inc_bottom, double mb, double vev
+ );
+
//! 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
* @param vev Vacuum expectation value
* @returns Square of the current contraction
*/
double ME_H_qg(HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in,
HLV const & qH1, HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
//! 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 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
* @param vev Vacuum expectation value
* @returns Square of the current contractions for qbarg->qbarg
*
* qbar~p1 g~p2 (i.e. ALWAYS p1 for anti-quark, p2 for gluon)
* should be called with qH1 meant to be contracted with p2 in first part of
* vertex (i.e. if g is backward, qH1 is forward)
*/
double ME_H_qbarg(HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in,
HLV const & qH1, HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
//! 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 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
* @param vev Vacuum expectation value
* @returns Square of the current contractions for qQ->qQ
*
* q~p1 Q~p2 (i.e. ALWAYS p1 for quark, p2 for quark)
* should be called with qH1 meant to be contracted with p2 in first part of
* vertex (i.e. if Q is backward, qH1 is forward)
*/
double ME_H_qQ(HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in,
HLV const & qH1, HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
//! 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 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
* @param vev Vacuum expectation value
* @returns Square of the current contractions for qQ->qQ
*
* q~p1 Qbar~p2 (i.e. ALWAYS p1 for quark, p2 for anti-quark)
* should be called with qH1 meant to be contracted with p2 in first part of
* vertex (i.e. if Qbar is backward, qH1 is forward)
*/
double ME_H_qQbar(HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in,
HLV const & qH1, HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
//! 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 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
* @param vev Vacuum expectation value
* @returns Square of the current contractions for qbarQ->qbarQ
*
* qbar~p1 Q~p2 (i.e. ALWAYS p1 for anti-quark, p2 for quark)
* should be called with qH1 meant to be contracted with p2 in first part of
* vertex (i.e. if Q is backward, qH1 is forward)
*/
double ME_H_qbarQ(HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in,
HLV const & qH1, HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
//! 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 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
* @param vev Vacuum expectation value
* @returns Square of the current contractions for
* qbarQbar->qbarQbar
*
* qbar~p1 Qbar~p2 (i.e. ALWAYS p1 for anti-quark, p2 for anti-quark)
* should be called with qH1 meant to be contracted with p2 in first part of
* vertex (i.e. if Qbar is backward, qH1 is forward)
*/
double ME_H_qbarQbar(HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in,
HLV const & qH1, HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
//! @name Unordered backwards
//! @{
//! Square of qbarQ->qbarQg Higgs+Jets Unordered b Scattering Current
/**
* @param pg Momentum of unordered b 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
* @param vev Vacuum expectation value
* @returns Square of the current contractions for
* qbarQ->qbarQg
*
* This construction is taking rapidity order: p1out >> p2out > pg
*/
double ME_H_unob_qbarQ(HLV const & pg, HLV const & p1out,
HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1,
HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
//! Square of qQ->qQg Higgs+Jets Unordered b Scattering Current
/**
* @param pg Momentum of unordered b 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
* @param vev Vacuum expectation value
* @returns Square of the current contractions for qQ->qQg
*
* This construction is taking rapidity order: p1out >> p2out > pg
*/
double ME_H_unob_qQ(HLV const & pg, HLV const & p1out,
HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1,
HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
//! Square of qQbar->qQbarg Higgs+Jets Unordered b Scattering Current
/**
* @param pg Momentum of unordered b 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
* @param vev Vacuum expectation value
* @returns Square of the current contractions for
* qQbar->qQbarg
*
* This construction is taking rapidity order: p1out >> p2out > pg
*/
double ME_H_unob_qQbar(HLV const & pg, HLV const & p1out,
HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1,
HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
//! Square of qbarQbar->qbarQbarg Higgs+Jets Unordered b Scattering Current
/**
* @param pg Momentum of unordered b 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
* @param vev Vacuum expectation value
* @returns Square of the current contractions for
* qbarQbar->qbarQbarg
*
* This construction is taking rapidity order: p1out >> p2out > pg
*/
double ME_H_unob_qbarQbar(HLV const & pg, HLV const & p1out,
HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1,
HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
//! Square of gQbar->gQbarg Higgs+Jets Unordered b Scattering Current
/**
* @param pg Momentum of unordered b gluon
* @param p1out Momentum of final state gluon
* @param p1in Momentum of initial state 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
* @param vev Vacuum expectation value
* @returns Square of the current contractions for
* gQbar->gQbarg
*
* This construction is taking rapidity order: p1out >> p2out > pg
*/
double ME_H_unob_gQbar(HLV const & pg, HLV const & p1out,
HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1,
HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
//! Square of gQ->gQg Higgs+Jets Unordered b Scattering Current
/**
* @param pg Momentum of unordered b gluon
* @param p1out Momentum of final state gluon
* @param p1in Momentum of initial state 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
* @param vev Vacuum expectation value
* @returns Square of the current contractions for gQ->gQg
*
* This construction is taking rapidity order: p1out >> p2out > pg
*/
double ME_H_unob_gQ(HLV const & pg, HLV const & p1out,
HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1,
HLV const & qH2,
double mt,
bool include_bottom, double mb, double vev);
//! @}
} // namespace currents
} // namespace HEJ
diff --git a/include/HEJ/MatrixElement.hh b/include/HEJ/MatrixElement.hh
index 638457c..0179f2f 100644
--- a/include/HEJ/MatrixElement.hh
+++ b/include/HEJ/MatrixElement.hh
@@ -1,202 +1,203 @@
/** \file
* \brief Contains the MatrixElement Class
*
* \authors The HEJ collaboration (see AUTHORS for details)
* \date 2019-2020
* \copyright GPLv2 or later
*/
#pragma once
#include <functional>
#include <vector>
#include "fastjet/PseudoJet.hh"
#include "HEJ/Config.hh"
#include "HEJ/PDG_codes.hh"
#include "HEJ/Parameters.hh"
namespace CLHEP {
class HepLorentzVector;
}
namespace HEJ {
class Event;
struct Particle;
//! 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 squares of regulated HEJ matrix elements
* @param event The event for which to calculate matrix elements
* @returns The squares of HEJ matrix elements including virtual corrections
*
* This function returns one value for the central parameter choice
* and one additional value for each entry in \ref Event.variations().
* See eq. (22) in \cite Andersen:2011hs for the definition of the squared
* matrix element.
*
* \internal Relation to standard HEJ Met2: MatrixElement = Met2*shat^2/(pdfta*pdftb)
*/
Weights operator()(Event const & event) const;
//! Squares of HEJ tree-level matrix elements
/**
* @param event The event for which to calculate matrix elements
* @returns The squares of HEJ matrix elements without virtual corrections
*
* cf. eq. (22) in \cite Andersen:2011hs
*/
Weights tree(Event const & event) const;
/**
* \brief Virtual corrections to matrix element squares
* @param event The event for which to calculate matrix elements
* @returns The virtual corrections to the squares of the matrix elements
*
* 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.
*
* If there is more than one entry in the returned vector, each entry
* corresponds to the contribution from the interference of two
* channels. The order of these entries matches the one returned by
* the tree_kin member function, but is otherwise unspecified.
*
* 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
*/
std::vector<Weights> virtual_corrections(Event const & event) const;
/**
* \brief Scale-dependent part of tree-level matrix element squares
* @param event The event for which to calculate matrix elements
* @returns The scale-dependent part of the squares of the
* tree-level matrix elements
*
* The tree-level matrix elements factorises into a renormalisation-scale
* dependent part, given by the strong coupling to some power, and a
* scale-independent remainder. This function only returns the former parts
* for the central scale choice and all \ref Event.variations().
*
* @see tree, tree_kin
*/
Weights tree_param(Event const & event) const;
/**
* \brief Kinematic part of tree-level matrix element squares
* @param event The event for which to calculate matrix elements
* @returns The kinematic part of the squares of the
* tree-level matrix elements
*
* The tree-level matrix elements factorises into a renormalisation-scale
* dependent part, given by the strong coupling to some power, and a
* scale-independent remainder. This function only returns the latter part.
*
* If there is more than one entry in the returned vector, each entry
* corresponds to the contribution from the interference of two
* channels. The order of these entries matches the one returned by
* the virtual_corrections member function, but is otherwise unspecified.
*
* @see tree, tree_param
*/
std::vector<double> tree_kin(Event const & event) const;
private:
double tree_param(
Event const & event,
double mur
) const;
double virtual_corrections_W(
Event const & event,
double mur,
Particle const & WBoson
) const;
std::vector <double> virtual_corrections_Z_qq(
Event const & event,
double mur,
Particle const & ZBoson
) const;
double virtual_corrections_Z_qg(
Event const & event,
double mur,
Particle const & ZBoson,
bool is_gq_event
) const;
std::vector<double> virtual_corrections(
Event const & event,
double mur
) const;
//! \internal cf. last line of eq. (22) in \cite Andersen:2011hs
double omega0(
double alpha_s, double mur,
fastjet::PseudoJet const & q_j
) const;
double tree_kin_jets(
Event const & ev
) const;
double tree_kin_W(
Event const & ev
) const;
std::vector <double> tree_kin_Z(
Event const & ev
) const;
double tree_kin_Higgs(
Event const & ev
) const;
double tree_kin_Higgs_first(
Event const & ev
) const;
double tree_kin_Higgs_last(
Event const & ev
) 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(
Event const & ev
) 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;
double MH2_backwardH(
ParticleID type_forward,
CLHEP::HepLorentzVector const & pa,
CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & pH,
CLHEP::HepLorentzVector const & pn
) const;
+ double MH2_unob_forwardH(
+ ParticleID type_backward,
+ CLHEP::HepLorentzVector const & pa,
+ CLHEP::HepLorentzVector const & pb,
+ CLHEP::HepLorentzVector const & pg,
+ CLHEP::HepLorentzVector const & p1,
+ CLHEP::HepLorentzVector const & pH
+ ) const;
+
std::function<double (double)> alpha_s_;
MatrixElementConfig param_;
};
} // namespace HEJ
diff --git a/src/Hjets.cc b/src/Hjets.cc
index 3d38278..6558f4d 100644
--- a/src/Hjets.cc
+++ b/src/Hjets.cc
@@ -1,474 +1,541 @@
/**
* \authors The HEJ collaboration (see AUTHORS for details)
* \date 2019-2020
* \copyright GPLv2 or later
*/
#include "HEJ/jets.hh"
#include "HEJ/Hjets.hh"
#include <array>
#include <cassert>
#include <cmath>
#include <complex>
#include <limits>
#include "HEJ/ConfigFlags.hh"
#include "HEJ/Constants.hh"
#include "HEJ/LorentzVector.hh"
#include "HEJ/utility.hh"
// generated headers
#include "HEJ/currents/j_h_j.hh"
-#include "HEJ/currents/juno_h_j.hh"
#include "HEJ/currents/jgh_j.hh"
+#include "HEJ/currents/juno_h_j.hh"
+#include "HEJ/currents/juno_jgh.hh"
#ifdef HEJ_BUILD_WITH_QCDLOOP
#include "qcdloop/qcdloop.h"
#else
#include "HEJ/exceptions.hh"
#endif
namespace HEJ {
namespace currents {
namespace {
// short hand for math functions
using std::norm;
using std::abs;
using std::conj;
using std::pow;
using std::sqrt;
constexpr double infinity = std::numeric_limits<double>::infinity(); // NOLINT
// Loop integrals
#ifdef HEJ_BUILD_WITH_QCDLOOP
const COM LOOPRWFACTOR = (COM(0.,1.)*M_PI*M_PI)/pow((2.*M_PI),4);
COM B0DD(HLV const & 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(HLV const & q1, HLV const & 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];
}
// Kallen lambda functions, see eq:lambda in developer manual
double lambda(const double s1, const double s2, const double s3) {
return s1*s1 + s2*s2 + s3*s3 - 2*s1*s2 - 2*s1*s3 - 2*s2*s3;
}
// eq: T_1 in developer manual
COM T1(HLV const & q1, HLV const & q2, const double m) {
const double q12 = q1.m2();
const double q22 = q2.m2();
const HLV ph = q1 - q2;
const double ph2 = ph.m2();
const double lam = lambda(q12, q22, ph2);
assert(m > 0.);
const double m2 = m*m;
return
- C0DD(q1, -q2, m)*(2.*m2 + 1./2.*(q12 + q22 - ph2) + 2.*q12*q22*ph2/lam)
- (B0DD(q2, m) - B0DD(ph, m))*(q22 - q12 - ph2)*q22/lam
- (B0DD(q1, m) - B0DD(ph, m))*(q12 - q22 - ph2)*q12/lam
- 1.;
}
// eq: T_2 in developer manual
COM T2(HLV const & q1, HLV const & q2, const double m) {
const double q12 = q1.m2();
const double q22 = q2.m2();
const HLV ph = q1 - q2;
const double ph2 = ph.m2();
const double lam = lambda(q12, q22, ph2);
assert(m > 0.);
const double m2 = m*m;
return
C0DD(q1, -q2, m)*(
4.*m2/lam*(ph2 - q12 - q22) - 1. - 4.*q12*q22/lam*(
1 + 3.*ph2*(q12 + q22 - ph2)/lam
)
)
- (B0DD(q2, m) - B0DD(ph, m))*(1. + 6.*q12/lam*(q22 - q12 + ph2))*2.*q22/lam
- (B0DD(q1, m) - B0DD(ph, m))*(1. + 6.*q22/lam*(q12 - q22 + ph2))*2.*q12/lam
- 2.*(q12 + q22 - ph2)/lam;
}
#else // no QCDloop
COM T1(HLV const & /*q1*/, HLV const & /*q2*/, double /*mt*/){
throw std::logic_error{"T1 called without QCDloop support"};
}
COM T2(HLV const & /*q1*/, HLV const & /*q2*/, double /*mt*/){
throw std::logic_error{"T2 called without QCDloop support"};
}
#endif
// prefactors of g^{\mu \nu} and q_2^\mu q_1^\nu in Higgs boson emission vertex
// see eq:VH in developer manual, but *without* global factor \alpha_s
std::array<COM, 2> TT(
HLV const & qH1, HLV const & qH2,
const double mt, const bool inc_bottom,
const double mb, const double vev
) {
if(mt == infinity) {
std::array<COM, 2> res = {qH1.dot(qH2), 1.};
for(auto & tt: res) tt /= (3.*M_PI*vev);
return res;
}
std::array<COM, 2> res = {T1(qH1, qH2, mt), T2(qH1, qH2, mt)};
for(auto & tt: res) tt *= mt*mt;
if(inc_bottom) {
res[0] += mb*mb*T1(qH1, qH2, mb);
res[1] += mb*mb*T2(qH1, qH2, mb);
}
for(auto & tt: res) tt /= M_PI*vev;
return res;
}
/**
* @brief Higgs+Jets FKL Contributions, function to handle all incoming types.
* @param p1out Outgoing Particle 1
* @param p1in Incoming Particle 1
* @param p2out Outgoing Particle 2
* @param p2in Incoming Particle 2
* @param qH1 t-channel momenta into higgs vertex
* @param qH2 t-channel momenta out of higgs vertex
* @param mt top mass (inf or value)
* @param inc_bottom whether to include bottom mass effects (true) or not (false)
* @param mb bottom mass (value)
* @param vev Higgs vacuum expectation value
*
* Calculates j^\mu H j_\mu. FKL with higgs vertex somewhere in the FKL chain.
* Handles all possible incoming states.
*/
double j_h_j(
HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in,
HLV const & qH1, HLV const & qH2,
const double mt, const bool inc_bottom, const double mb, const double vev
){
using helicity::plus;
using helicity::minus;
const auto qqH1 = split_into_lightlike(qH1);
const HLV qH11 = qqH1.first;
const HLV qH12 = -qqH1.second;
const auto qqH2 = split_into_lightlike(qH2);
const HLV qH21 = qqH2.first;
const HLV qH22 = -qqH2.second;
// since qH1.m2(), qH2.m2() < 0 the following assertions are always true
assert(qH11.e() > 0);
assert(qH12.e() > 0);
assert(qH21.e() > 0);
assert(qH22.e() > 0);
const auto T_pref = TT(qH1, qH2, mt, inc_bottom, mb, vev);
const COM amp_mm = HEJ::j_h_j<minus, minus>(
p1out, p1in, p2out, p2in, qH11, qH12, qH21, qH22, T_pref[0], T_pref[1]
);
const COM amp_mp = HEJ::j_h_j<minus, plus>(
p1out, p1in, p2out, p2in, qH11, qH12, qH21, qH22, T_pref[0], T_pref[1]
);
const COM amp_pm = HEJ::j_h_j<plus, minus>(
p1out, p1in, p2out, p2in, qH11, qH12, qH21, qH22, T_pref[0], T_pref[1]
);
const COM amp_pp = HEJ::j_h_j<plus, plus>(
p1out, p1in, p2out, p2in, qH11, qH12, qH21, qH22, T_pref[0], T_pref[1]
);
static constexpr double num_hel = 4.;
// square of amplitudes, averaged over helicities
const double amp2 = (norm(amp_mm) + norm(amp_mp) + norm(amp_pm) + norm(amp_pp))/num_hel;
return amp2/((p1in-p1out).m2()*(p2in-p2out).m2()*qH1.m2()*qH2.m2());
}
// }
} // namespace
double ME_H_qQ(HLV const & p1out, HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1, HLV const & qH2, double mt,
bool include_bottom, double mb, double vev
){
return j_h_j(p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev);
}
double ME_H_qQbar(HLV const & p1out, HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1, HLV const & qH2,
double mt, bool include_bottom, double mb, double vev
){
return j_h_j(p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev);
}
double ME_H_qbarQ(HLV const & p1out, HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1, HLV const & qH2,
double mt, bool include_bottom, double mb, double vev
){
return j_h_j(p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev);
}
double ME_H_qbarQbar(HLV const & p1out, HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1, HLV const & qH2,
double mt, bool include_bottom, double mb, double vev
){
return j_h_j(p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev);
}
double ME_H_qg(HLV const & p1out, HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1, HLV const & qH2,
double mt, bool include_bottom, double mb, double vev
){
return j_h_j(p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev)
* K_g(p2out,p2in)/C_A;
}
double ME_H_qbarg(HLV const & p1out, HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1, HLV const & qH2,
double mt, bool include_bottom, double mb, double vev
){
return j_h_j(p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev)
* K_g(p2out,p2in)/C_A;
}
double ME_H_gg(HLV const & p1out, HLV const & p1in, HLV const & p2out,
HLV const & p2in, HLV const & qH1, HLV const & qH2,
double mt, bool include_bottom, double mb, double vev
){
return j_h_j(p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev)
* K_g(p2out,p2in)/C_A * K_g(p1out,p1in)/C_A;
}
//@}
double ME_jgH_j(
HLV const & ph, HLV const & pa,
HLV const & pn, HLV const & pb,
const double mt, const bool inc_bottom, const double mb, const double vev
){
using helicity::plus;
using helicity::minus;
const auto pH = split_into_lightlike(ph);
const HLV ph1 = pH.first;
const HLV ph2 = pH.second;
// since pH.m2() > 0 the following assertions are always true
assert(ph1.e() > 0);
assert(ph2.e() > 0);
const auto T_pref = TT(pa, pa-ph, mt, inc_bottom, mb, vev);
// only distinguish between same and different helicities,
// the other two combinations just add a factor of 2
const COM amp_mm = HEJ::jgh_j<minus, minus>(
pa, pb, pn, ph1, ph2, T_pref[0], T_pref[1]
);
const COM amp_mp = HEJ::jgh_j<minus, plus>(
pa, pb, pn, ph1, ph2, T_pref[0], T_pref[1]
);
constexpr double hel_factor = 2.;
// sum over squares of helicity amplitudes
return hel_factor*(norm(amp_mm) + norm(amp_mp));
}
+ namespace {
+ template<Helicity h1, Helicity h2, Helicity hg>
+ double amp_juno_jgh(
+ HLV const & pg, HLV const & p1, HLV const & pa,
+ HLV const & ph1, HLV const & ph2, HLV const & pb,
+ std::array<COM, 2> const & T_pref
+ ) {
+ // TODO: code duplication with Wjets and pure jets
+ const COM u1 = U1_jgh<h1, h2, hg>(pg, p1, pa, ph1, ph2, pb, T_pref[0], T_pref[1]);
+ const COM u2 = U2_jgh<h1, h2, hg>(pg, p1, pa, ph1, ph2, pb, T_pref[0], T_pref[1]);
+ const COM l = L_jgh<h1, h2, hg>(pg, p1, pa, ph1, ph2, pb, T_pref[0], T_pref[1]);
+ return 2.*C_F*std::real((l-u1)*std::conj(l+u2))
+ + 2.*C_F*C_F/3.*std::norm(u1+u2)
+ ;
+ }
+
+ }
+
+ double ME_juno_jgH(
+ HLV const & pg,
+ HLV const & p1, HLV const & pa,
+ HLV const & ph, HLV const & pb,
+ const double mt, const bool inc_bottom, const double mb, const double vev
+ ) {
+ using Helicity::plus;
+ using Helicity::minus;
+
+ const auto T_pref = TT(pb, pb-ph, mt, inc_bottom, mb, vev);
+
+ const auto pH = split_into_lightlike(ph);
+ const HLV ph1 = pH.first;
+ const HLV ph2 = pH.second;
+ // since pH.m2() > 0 the following assertions are always true
+ assert(ph1.e() > 0);
+ assert(ph2.e() > 0);
+
+ // only 4 out of the 8 helicity amplitudes are independent
+ // we still compute all of them for better numerical stability (mirror check)
+ MultiArray<double, 2, 2, 2> amp;
+
+#define ASSIGN_HEL(RES, J, H1, H2, HG) \
+ RES[H1][H2][HG] = J<H1, H2, HG>( \
+ pg, p1, pa, ph1, ph2, pb, T_pref \
+ ) // NOLINT
+
+ ASSIGN_HEL(amp, amp_juno_jgh, minus, minus, minus);
+ ASSIGN_HEL(amp, amp_juno_jgh, minus, minus, plus);
+ ASSIGN_HEL(amp, amp_juno_jgh, minus, plus, minus);
+ ASSIGN_HEL(amp, amp_juno_jgh, minus, plus, plus);
+ ASSIGN_HEL(amp, amp_juno_jgh, plus, minus, minus);
+ ASSIGN_HEL(amp, amp_juno_jgh, plus, minus, plus);
+ ASSIGN_HEL(amp, amp_juno_jgh, plus, plus, minus);
+ ASSIGN_HEL(amp, amp_juno_jgh, plus, plus, plus);
+
+#undef ASSIGN_HEL
+
+ double ampsq = 0.;
+ for(Helicity h1: {minus, plus}) {
+ for(Helicity h2: {minus, plus}) {
+ for(Helicity hg: {minus, plus}) {
+ ampsq += amp[h1][h2][hg];
+ }
+ }
+ }
+
+ return ampsq;
}
namespace {
template<Helicity h1, Helicity h2, Helicity hg>
double amp_juno_h_j(
HLV const & pa, HLV const & pb,
HLV const & pg, HLV const & p1, HLV const & p2,
HLV const & qH11, HLV const & qH12, HLV const & qH21, HLV const & qH22,
std::array<COM, 2> const & T_pref
) {
// TODO: code duplication with Wjets and pure jets
const COM u1 = U1_h_j<h1, h2, hg>(pa,p1,pb,p2,pg,qH11,qH12,qH21,qH22,T_pref[0],T_pref[1]);
const COM u2 = U2_h_j<h1, h2, hg>(pa,p1,pb,p2,pg,qH11,qH12,qH21,qH22,T_pref[0],T_pref[1]);
const COM l = L_h_j<h1, h2, hg>(pa,p1,pb,p2,pg,qH11,qH12,qH21,qH22,T_pref[0],T_pref[1]);
return 2.*C_F*std::real((l-u1)*std::conj(l+u2))
+ 2.*C_F*C_F/3.*std::norm(u1+u2)
;
}
//@{
/**
* @brief Higgs+Jets Unordered Contributions, function to handle all incoming types.
* @param pg Unordered Gluon momenta
* @param p1out Outgoing Particle 1
* @param p1in Incoming Particle 1
* @param p2out Outgoing Particle 2
* @param p2in Incoming Particle 2
* @param qH1 t-channel momenta into higgs vertex
* @param qH2 t-channel momenta out of higgs vertex
* @param mt top mass (inf or value)
* @param inc_bottom whether to include bottom mass effects (true) or not (false)
* @param mb bottom mass (value)
*
* Calculates j_{uno}^\mu H j_\mu. Unordered with higgs vertex
* somewhere in the FKL chain. Handles all possible incoming states.
*/
double juno_h_j(
HLV const & pg, HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in,
HLV const & qH1, HLV const & qH2,
const double mt, const bool incBot, const double mb, const double vev
){
using helicity::plus;
using helicity::minus;
const auto qqH1 = split_into_lightlike(qH1);
const HLV qH11 = qqH1.first;
const HLV qH12 = -qqH1.second;
const auto qqH2 = split_into_lightlike(qH2);
const HLV qH21 = qqH2.first;
const HLV qH22 = -qqH2.second;
// since qH1.m2(), qH2.m2() < 0 the following assertions are always true
assert(qH11.e() > 0);
assert(qH12.e() > 0);
assert(qH21.e() > 0);
assert(qH22.e() > 0);
const auto T_pref = TT(qH1, qH2, mt, incBot, mb, vev);
// only 4 out of the 8 helicity amplitudes are independent
// we still compute all of them for better numerical stability (mirror check)
MultiArray<double, 2, 2, 2> amp{};
// NOLINTNEXTLINE
#define ASSIGN_HEL(RES, J, H1, H2, HG) \
RES[H1][H2][HG] = J<H1, H2, HG>( \
p1in, p2in, pg, p1out, p2out, qH11, qH12, qH21, qH22, T_pref \
)
ASSIGN_HEL(amp, amp_juno_h_j, minus, minus, minus);
ASSIGN_HEL(amp, amp_juno_h_j, minus, minus, plus);
ASSIGN_HEL(amp, amp_juno_h_j, minus, plus, minus);
ASSIGN_HEL(amp, amp_juno_h_j, minus, plus, plus);
ASSIGN_HEL(amp, amp_juno_h_j, plus, minus, minus);
ASSIGN_HEL(amp, amp_juno_h_j, plus, minus, plus);
ASSIGN_HEL(amp, amp_juno_h_j, plus, plus, minus);
ASSIGN_HEL(amp, amp_juno_h_j, plus, plus, plus);
#undef ASSIGN_HEL
const HLV q1 = p1in-p1out; // Top End
const HLV q2 = p2out-p2in; // Bottom End
const HLV qg = p1in-p1out-pg; // Extra bit post-gluon
double ampsq = 0.;
for(Helicity h1: {minus, plus}) {
for(Helicity h2: {minus, plus}) {
for(Helicity hg: {minus, plus}) {
ampsq += amp[h1][h2][hg];
}
}
}
ampsq /= 16.*qg.m2()*qH1.m2()*qH2.m2()*q2.m2();
// Factor of (Cf/Ca) for each quark to match ME_H_qQ.
ampsq*=C_F*C_F/C_A/C_A;
return ampsq;
}
} // namespace
double ME_H_unob_qQ(HLV const & pg, HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in, HLV const & qH1,
HLV const & qH2, double mt, bool include_bottom, double mb,
double vev
){
return juno_h_j(pg, p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev);
}
double ME_H_unob_qbarQ(HLV const & pg, HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in, HLV const & qH1,
HLV const & qH2, double mt, bool include_bottom, double mb,
double vev
){
return juno_h_j(pg, p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev);
}
double ME_H_unob_qQbar(HLV const & pg, HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in, HLV const & qH1,
HLV const & qH2, double mt, bool include_bottom, double mb,
double vev
){
return juno_h_j(pg, p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev);
}
double ME_H_unob_qbarQbar(HLV const & pg, HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in, HLV const & qH1,
HLV const & qH2, double mt, bool include_bottom, double mb,
double vev
){
return juno_h_j(pg, p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev);
}
double ME_H_unob_gQ(HLV const & pg, HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in, HLV const & qH1,
HLV const & qH2, double mt, bool include_bottom, double mb,
double vev
){
return juno_h_j(pg, p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev)
*K_g(p2out,p2in)/C_F;
}
double ME_H_unob_gQbar(HLV const & pg, HLV const & p1out, HLV const & p1in,
HLV const & p2out, HLV const & p2in, HLV const & qH1,
HLV const & qH2, double mt, bool include_bottom, double mb,
double vev
){
return juno_h_j(pg, p1out, p1in, p2out, p2in, qH1, qH2, mt, include_bottom, mb, vev)
*K_g(p2out,p2in)/C_F;
}
//@}
} // namespace currents
} // namespace HEJ
diff --git a/src/MatrixElement.cc b/src/MatrixElement.cc
index 63ee7e8..1338700 100644
--- a/src/MatrixElement.cc
+++ b/src/MatrixElement.cc
@@ -1,2115 +1,2155 @@
/**
* \authors The HEJ collaboration (see AUTHORS for details)
* \date 2019-2020
* \copyright GPLv2 or later
*/
#include "HEJ/MatrixElement.hh"
#include <algorithm>
#include <cassert>
#include <cmath>
#include <cstddef>
#include <cstdlib>
#include <iterator>
#include <limits>
#include <unordered_map>
#include <utility>
#include "fastjet/PseudoJet.hh"
#include "HEJ/ConfigFlags.hh"
#include "HEJ/Constants.hh"
#include "HEJ/EWConstants.hh"
#include "HEJ/Event.hh"
#include "HEJ/HiggsCouplingSettings.hh"
#include "HEJ/Hjets.hh"
#include "HEJ/LorentzVector.hh"
#include "HEJ/PDG_codes.hh"
#include "HEJ/Particle.hh"
#include "HEJ/Wjets.hh"
#include "HEJ/Zjets.hh"
#include "HEJ/event_types.hh"
#include "HEJ/exceptions.hh"
#include "HEJ/jets.hh"
#include "HEJ/utility.hh"
namespace HEJ {
double MatrixElement::omega0(
double alpha_s, double mur,
fastjet::PseudoJet const & q_j
) const {
const double lambda = param_.regulator_lambda;
const double result = - alpha_s*N_C/M_PI*std::log(q_j.perp2()/(lambda*lambda));
if(! param_.log_correction) return result;
return (
1. + alpha_s/(4.*M_PI)*BETA0*std::log(mur*mur/(q_j.perp()*lambda))
)*result;
}
Weights MatrixElement::operator()(Event const & event) const {
std::vector <double> tree_kin_part=tree_kin(event);
std::vector <Weights> virtual_part=virtual_corrections(event);
if(tree_kin_part.size() != virtual_part.size()) {
throw std::logic_error("tree and virtuals have different sizes");
}
Weights sum = Weights{0., std::vector<double>(event.variations().size(), 0.)};
for(size_t i=0; i<tree_kin_part.size(); ++i) {
sum += tree_kin_part.at(i)*virtual_part.at(i);
}
return tree_param(event)*sum;
}
Weights MatrixElement::tree(Event const & event) const {
std::vector <double> tree_kin_part=tree_kin(event);
double sum = 0.;
for(double i : tree_kin_part) {
sum += i;
}
return tree_param(event)*sum;
}
Weights MatrixElement::tree_param(Event const & event) const {
if(! is_resummable(event.type())) {
return Weights{0., std::vector<double>(event.variations().size(), 0.)};
}
Weights result;
// only compute once for each renormalisation scale
std::unordered_map<double, double> known;
result.central = tree_param(event, event.central().mur);
known.emplace(event.central().mur, result.central);
for(auto const & var: event.variations()) {
const auto ME_it = known.find(var.mur);
if(ME_it == end(known)) {
const double wt = tree_param(event, var.mur);
result.variations.emplace_back(wt);
known.emplace(var.mur, wt);
}
else {
result.variations.emplace_back(ME_it->second);
}
}
return result;
}
std::vector<Weights> MatrixElement::virtual_corrections(Event const & event) const {
if(! is_resummable(event.type())) {
return {Weights{0., std::vector<double>(event.variations().size(), 0.)}};
}
// only compute once for each renormalisation scale
std::unordered_map<double, std::vector<double> > known_vec;
std::vector<double> central_vec=virtual_corrections(event, event.central().mur);
known_vec.emplace(event.central().mur, central_vec);
for(auto const & var: event.variations()) {
const auto ME_it = known_vec.find(var.mur);
if(ME_it == end(known_vec)) {
known_vec.emplace(var.mur, virtual_corrections(event, var.mur));
}
}
// At this stage known_vec contains one vector of virtual corrections for each mur value
// Now put this into a vector of Weights
std::vector<Weights> result_vec;
for(size_t i=0; i<central_vec.size(); ++i) {
Weights result;
result.central = central_vec.at(i);
for(auto const & var: event.variations()) {
const auto ME_it = known_vec.find(var.mur);
result.variations.emplace_back(ME_it->second.at(i));
}
result_vec.emplace_back(result);
}
return result_vec;
}
double MatrixElement::virtual_corrections_W(
Event const & event,
const double mur,
Particle const & WBoson
) const{
auto const & in = event.incoming();
const auto partons = filter_partons(event.outgoing());
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(partons.begin(), partons.end(), rapidity_less{}));
assert(partons.size() >= 2);
assert(pa.pz() < pb.pz());
fastjet::PseudoJet q = pa - partons[0].p;
std::size_t first_idx = 0;
std::size_t last_idx = partons.size() - 1;
#ifndef NDEBUG
bool wc = true;
#endif
bool wqq = false;
// With extremal qqbar or unordered gluon outside the extremal
// partons then it is not part of the FKL ladder and does not
// contribute to the virtual corrections. W emitted from the
// most backward leg must be taken into account in t-channel
if (event.type() == event_type::unob) {
q -= partons[1].p;
++first_idx;
if (in[0].type != partons[1].type ){
q -= WBoson.p;
#ifndef NDEBUG
wc=false;
#endif
}
}
else if (event.type() == event_type::qqbar_exb) {
q -= partons[1].p;
++first_idx;
if (std::abs(partons[0].type) != std::abs(partons[1].type)){
q -= WBoson.p;
#ifndef NDEBUG
wc=false;
#endif
}
}
else {
if(event.type() == event_type::unof
|| event.type() == event_type::qqbar_exf){
--last_idx;
}
if (in[0].type != partons[0].type ){
q -= WBoson.p;
#ifndef NDEBUG
wc=false;
#endif
}
}
std::size_t first_idx_qqbar = last_idx;
std::size_t last_idx_qqbar = last_idx;
//if qqbarMid event, virtual correction do not occur between qqbar pair.
if(event.type() == event_type::qqbar_mid){
const auto backquark = std::find_if(
begin(partons) + 1, end(partons) - 1 ,
[](Particle const & s){ return (s.type != pid::gluon); }
);
if(backquark == end(partons) || (backquark+1)->type==pid::gluon) return 0;
if(std::abs(backquark->type) != std::abs((backquark+1)->type)) {
wqq=true;
#ifndef NDEBUG
wc=false;
#endif
}
last_idx = std::distance(begin(partons), backquark);
first_idx_qqbar = last_idx+1;
}
double exponent = 0;
const double alpha_s = alpha_s_(mur);
for(std::size_t j = first_idx; j < last_idx; ++j){
exponent += omega0(alpha_s, mur, q)*(
partons[j+1].rapidity() - partons[j].rapidity()
);
q -=partons[j+1].p;
} // End Loop one
if (last_idx != first_idx_qqbar) q -= partons[last_idx+1].p;
if (wqq) q -= WBoson.p;
for(std::size_t j = first_idx_qqbar; j < last_idx_qqbar; ++j){
exponent += omega0(alpha_s, mur, q)*(
partons[j+1].rapidity() - partons[j].rapidity()
);
q -= partons[j+1].p;
}
#ifndef NDEBUG
if (wc) q -= WBoson.p;
assert(
nearby(q, -1*pb, norm)
|| is_AWZH_boson(partons.back().type)
|| event.type() == event_type::unof
|| event.type() == event_type::qqbar_exf
);
#endif
return std::exp(exponent);
}
std::vector <double> MatrixElement::virtual_corrections_Z_qq(
Event const & event,
const double mur,
Particle const & ZBoson
) const{
auto const & in = event.incoming();
const auto partons = filter_partons(event.outgoing());
fastjet::PseudoJet const & pa = in.front().p;
#ifndef NDEBUG
fastjet::PseudoJet const & pb = in.back().p;
#endif
assert(std::is_sorted(partons.begin(), partons.end(), rapidity_less{}));
assert(partons.size() >= 2);
assert(pa.pz() < pb.pz());
fastjet::PseudoJet q_t = pa - partons[0].p - ZBoson.p;
fastjet::PseudoJet q_b = pa - partons[0].p;
size_t first_idx = 0;
size_t last_idx = partons.size() - 1;
// Unordered gluon does not contribute to the virtual corrections
if (event.type() == event_type::unob) {
// Gluon is partons[0] and is already subtracted
// partons[1] is the backward quark
q_t -= partons[1].p;
q_b -= partons[1].p;
++first_idx;
} else if (event.type() == event_type::unof) {
// End sum at forward quark
--last_idx;
}
double sum_top=0.;
double sum_bot=0.;
double sum_mix=0.;
const double alpha_s = alpha_s_(mur);
for(size_t j = first_idx; j < last_idx; ++j){
const double dy = partons[j+1].rapidity() - partons[j].rapidity();
const double tmp_top = omega0(alpha_s, mur, q_t)*dy;
const double tmp_bot = omega0(alpha_s, mur, q_b)*dy;
sum_top += tmp_top;
sum_bot += tmp_bot;
sum_mix += (tmp_top + tmp_bot) / 2.;
q_t -= partons[j+1].p;
q_b -= partons[j+1].p;
}
return {exp(sum_top), exp(sum_bot), exp(sum_mix)};
}
double MatrixElement::virtual_corrections_Z_qg(
Event const & event,
const double mur,
Particle const & ZBoson,
const bool is_gq_event
) const{
auto const & in = event.incoming();
const auto partons = filter_partons(event.outgoing());
fastjet::PseudoJet const & pa = in.front().p;
#ifndef NDEBUG
fastjet::PseudoJet const & pb = in.back().p;
#endif
assert(std::is_sorted(partons.begin(), partons.end(), rapidity_less{}));
assert(partons.size() >= 2);
assert(pa.pz() < pb.pz());
// If this is a gq event, don't subtract the Z momentum from first q
fastjet::PseudoJet q = (is_gq_event ? pa - partons[0].p : pa - partons[0].p - ZBoson.p);
size_t first_idx = 0;
size_t last_idx = partons.size() - 1;
// Unordered gluon does not contribute to the virtual corrections
if (event.type() == event_type::unob) {
// Gluon is partons[0] and is already subtracted
// partons[1] is the backward quark
q -= partons[1].p;
++first_idx;
} else if (event.type() == event_type::unof) {
// End sum at forward quark
--last_idx;
}
double sum=0.;
const double alpha_s = alpha_s_(mur);
for(size_t j = first_idx; j < last_idx; ++j){
sum += omega0(alpha_s, mur, q)*(partons[j+1].rapidity()
- partons[j].rapidity());
q -= partons[j+1].p;
}
return exp(sum);
}
std::vector<double> MatrixElement::virtual_corrections(
Event const & event,
const double mur
) const{
auto const & in = event.incoming();
auto const & out = event.outgoing();
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
const auto AWZH_boson = std::find_if(
begin(out), end(out),
[](Particle const & p){ return is_AWZH_boson(p); }
);
if(AWZH_boson != end(out) && std::abs(AWZH_boson->type) == pid::Wp){
return {virtual_corrections_W(event, mur, *AWZH_boson)};
}
if(AWZH_boson != end(out) && AWZH_boson->type == pid::Z_photon_mix){
if(is_gluon(in.back().type)){
// This is a qg event
return {virtual_corrections_Z_qg(event, mur, *AWZH_boson, false)};
}
if(is_gluon(in.front().type)){
// This is a gq event
return {virtual_corrections_Z_qg(event, mur, *AWZH_boson, true)};
}
// This is a qq event
return virtual_corrections_Z_qq(event, mur, *AWZH_boson);
}
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;
std::size_t first_idx = 0;
std::size_t last_idx = out.size() - 1;
// if there is a Higgs boson _not_ emitted off an incoming gluon,
// extremal qqbar 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 && in.front().type != pid::gluon)
|| event.type() == event_type::unob
|| event.type() == event_type::qqbar_exb){
q -= out[1].p;
++first_idx;
}
if((out.back().type == pid::Higgs && in.back().type != pid::gluon)
|| event.type() == event_type::unof
|| event.type() == event_type::qqbar_exf){
--last_idx;
}
std::size_t first_idx_qqbar = last_idx;
std::size_t last_idx_qqbar = last_idx;
//if central qqbar event, virtual correction do not occur between q-qbar.
if(event.type() == event_type::qqbar_mid){
const auto backquark = std::find_if(
begin(out) + 1, end(out) - 1 ,
[](Particle const & s){ return (s.type != pid::gluon && is_parton(s.type)); }
);
if(backquark == end(out) || (backquark+1)->type==pid::gluon) return {0.};
last_idx = std::distance(begin(out), backquark);
first_idx_qqbar = last_idx+1;
}
double exponent = 0;
const double alpha_s = alpha_s_(mur);
for(std::size_t j = first_idx; j < last_idx; ++j){
exponent += omega0(alpha_s, mur, q)*(
out[j+1].rapidity() - out[j].rapidity()
);
q -= out[j+1].p;
}
if (last_idx != first_idx_qqbar) q -= out[last_idx+1].p;
for(std::size_t j = first_idx_qqbar; j < last_idx_qqbar; ++j){
exponent += omega0(alpha_s, mur, q)*(
out[j+1].rapidity() - out[j].rapidity()
);
q -= out[j+1].p;
}
assert(
nearby(q, -1*pb, norm)
|| (out.back().type == pid::Higgs && in.back().type != pid::gluon)
|| event.type() == event_type::unof
|| event.type() == event_type::qqbar_exf
);
return {std::exp(exponent)};
}
namespace {
//! Lipatov vertex for partons emitted into extremal jets
CLHEP::HepLorentzVector CLipatov(
CLHEP::HepLorentzVector const & qav, CLHEP::HepLorentzVector const & qbv,
CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & p2
) {
const CLHEP::HepLorentzVector p5 = qav-qbv;
const CLHEP::HepLorentzVector CL = -(qav+qbv)
+ 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));
return CL;
}
double C2Lipatov(
CLHEP::HepLorentzVector const & qav,
CLHEP::HepLorentzVector const & qbv,
CLHEP::HepLorentzVector const & p1,
CLHEP::HepLorentzVector const & p2
){
const CLHEP::HepLorentzVector CL = CLipatov(qav, qbv, p1, p2);
return -CL.dot(CL);
}
//! Lipatov vertex with soft subtraction for partons emitted into extremal jets
double C2Lipatovots(
CLHEP::HepLorentzVector const & qav,
CLHEP::HepLorentzVector const & qbv,
CLHEP::HepLorentzVector const & p1,
CLHEP::HepLorentzVector const & p2,
const double lambda
) {
const double Cls=(C2Lipatov(qav, qbv, p1, p2)/(qav.m2()*qbv.m2()));
const double kperp=(qav-qbv).perp();
if (kperp>lambda)
return Cls;
return Cls-4./(kperp*kperp);
}
double C2Lipatov_Mix(
CLHEP::HepLorentzVector const & qav_t, CLHEP::HepLorentzVector const & qbv_t,
CLHEP::HepLorentzVector const & qav_b, CLHEP::HepLorentzVector const & qbv_b,
CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & p2
) {
const CLHEP::HepLorentzVector CL_t = CLipatov(qav_t, qbv_t, p1, p2);
const CLHEP::HepLorentzVector CL_b = CLipatov(qav_b, qbv_b, p1, p2);
return -CL_t.dot(CL_b);
}
double C2Lipatovots_Mix(
CLHEP::HepLorentzVector const & qav_t, CLHEP::HepLorentzVector const & qbv_t,
CLHEP::HepLorentzVector const & qav_b, CLHEP::HepLorentzVector const & qbv_b,
CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & p2,
const double lambda
) {
const double Cls = C2Lipatov_Mix(qav_t, qbv_t, qav_b, qbv_b, p1, p2)
/ sqrt(qav_t.m2() * qbv_t.m2() * qav_b.m2() * qbv_b.m2());
const double kperp = (qav_t - qbv_t).perp();
if (kperp > lambda){
return Cls;
}
return Cls - 4.0 / (kperp * kperp);
}
CLHEP::HepLorentzVector CLipatov(
CLHEP::HepLorentzVector const & qav, CLHEP::HepLorentzVector const & qbv,
CLHEP::HepLorentzVector const & pim, CLHEP::HepLorentzVector const & pip,
CLHEP::HepLorentzVector const & pom, CLHEP::HepLorentzVector const & pop
){
const CLHEP::HepLorentzVector p5 = qav-qbv;
const CLHEP::HepLorentzVector CL = -(qav+qbv)
+ 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;
}
//! Lipatov vertex
double C2Lipatov( // B
CLHEP::HepLorentzVector const & qav,
CLHEP::HepLorentzVector const & qbv,
CLHEP::HepLorentzVector const & pim,
CLHEP::HepLorentzVector const & pip,
CLHEP::HepLorentzVector const & pom,
CLHEP::HepLorentzVector const & pop
){
const CLHEP::HepLorentzVector CL = CLipatov(qav, qbv, pim, pip, pom, pop);
return -CL.dot(CL);
}
//! Lipatov vertex with soft subtraction
double C2Lipatovots(
CLHEP::HepLorentzVector const & qav,
CLHEP::HepLorentzVector const & qbv,
CLHEP::HepLorentzVector const & pa,
CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & p1,
CLHEP::HepLorentzVector const & p2,
const double lambda
) {
const double Cls=(C2Lipatov(qav, qbv, pa, pb, p1, p2)/(qav.m2()*qbv.m2()));
const double kperp=(qav-qbv).perp();
if (kperp>lambda)
return Cls;
return Cls-4./(kperp*kperp);
}
double C2Lipatov_Mix(
CLHEP::HepLorentzVector const & qav_t, CLHEP::HepLorentzVector const & qbv_t,
CLHEP::HepLorentzVector const & qav_b, CLHEP::HepLorentzVector const & qbv_b,
CLHEP::HepLorentzVector const & pim, CLHEP::HepLorentzVector const & pip,
CLHEP::HepLorentzVector const & pom, CLHEP::HepLorentzVector const & pop
) {
const CLHEP::HepLorentzVector CL_t = CLipatov(qav_t, qbv_t, pim, pip, pom, pop);
const CLHEP::HepLorentzVector CL_b = CLipatov(qav_b, qbv_b, pim, pip, pom, pop);
return -CL_t.dot(CL_b);
}
double C2Lipatovots_Mix(
CLHEP::HepLorentzVector const & qav_t, CLHEP::HepLorentzVector const & qbv_t,
CLHEP::HepLorentzVector const & qav_b, CLHEP::HepLorentzVector const & qbv_b,
CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & p2,
const double lambda
) {
const double Cls = C2Lipatov_Mix(qav_t, qbv_t, qav_b, qbv_b, pa, pb, p1, p2)
/ sqrt(qav_t.m2() * qbv_t.m2() * qav_b.m2() * qbv_b.m2());
const double kperp = (qav_t - qbv_t).perp();
if (kperp > lambda) {
return Cls;
}
return Cls - 4.0 / (kperp * kperp);
}
/** Matrix element squared for tree-level current-current scattering
* @param aptype Particle a PDG ID
* @param bptype Particle b PDG ID
* @param pg Unordered gluon momentum
* @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
*
* @note The unof contribution can be calculated by reversing the argument ordering.
*/
double ME_uno_current(
ParticleID aptype, ParticleID bptype,
CLHEP::HepLorentzVector const & pg,
CLHEP::HepLorentzVector const & pn,
CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & p1,
CLHEP::HepLorentzVector const & pa
){
using namespace currents;
assert(aptype!=pid::gluon); // aptype cannot be gluon
if (bptype==pid::gluon) {
if (is_quark(aptype))
return ME_unob_qg(pg,p1,pa,pn,pb);
return ME_unob_qbarg(pg,p1,pa,pn,pb);
}
if (is_antiquark(bptype)) {
if (is_quark(aptype))
return ME_unob_qQbar(pg,p1,pa,pn,pb);
return ME_unob_qbarQbar(pg,p1,pa,pn,pb);
}
//bptype == quark
if (is_quark(aptype))
return ME_unob_qQ(pg,p1,pa,pn,pb);
return ME_unob_qbarQ(pg,p1,pa,pn,pb);
}
/** Matrix element squared for tree-level current-current scattering
* @param bptype Particle b PDG ID
* @param pgin Incoming gluon momentum
* @param pq Quark from splitting Momentum
* @param pqbar Anti-quark from splitting Momentum
* @param pn Particle n Momentum
* @param pb Particle b Momentum
* @param swap_qqbar Ordering of qqbar pair. False: pqbar extremal.
* @returns ME Squared for Tree-Level Current-Current Scattering
*
* @note The forward qqbar contribution can be calculated by reversing the
* argument ordering.
*/
double ME_qqbar_current(
ParticleID bptype,
CLHEP::HepLorentzVector const & pgin,
CLHEP::HepLorentzVector const & pq,
CLHEP::HepLorentzVector const & pqbar,
CLHEP::HepLorentzVector const & pn,
CLHEP::HepLorentzVector const & pb,
bool const swap_qqbar
){
using namespace currents;
if (bptype==pid::gluon) {
if (swap_qqbar) // pq extremal
return ME_Exqqbar_qqbarg(pgin,pq,pqbar,pn,pb);
// pqbar extremal
return ME_Exqqbar_qbarqg(pgin,pq,pqbar,pn,pb);
}
// b leg quark line
if (swap_qqbar) //extremal pq
return ME_Exqqbar_qqbarQ(pgin,pq,pqbar,pn,pb);
return ME_Exqqbar_qbarqQ(pgin,pq,pqbar,pn,pb);
}
/* \brief Matrix element squared for central qqbar tree-level current-current
* scattering
*
* @param aptype Particle a PDG ID
* @param bptype Particle b PDG ID
* @param nabove Number of gluons emitted before central qqbarpair
* @param nbelow Number of gluons emitted after central qqbarpair
* @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
* @returns ME Squared for qqbar_mid Tree-Level Current-Current Scattering
*/
double ME_qqbar_mid_current(
ParticleID aptype, ParticleID bptype, int nabove,
CLHEP::HepLorentzVector const & pa,
CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & pq,
CLHEP::HepLorentzVector const & pqbar,
std::vector<CLHEP::HepLorentzVector> const & partons
){
using namespace currents;
// CAM factors for the qqbar amps, and qqbar ordering (default, pq backwards)
const bool swap_qqbar=pqbar.rapidity() < pq.rapidity();
double wt=1.;
if (aptype==pid::gluon) wt*=K_g(partons.front(),pa)/C_F;
if (bptype==pid::gluon) wt*=K_g(partons.back(),pb)/C_F;
return wt*ME_Cenqqbar_qq(pa, pb, partons, is_antiquark(bptype),
is_antiquark(aptype), swap_qqbar, nabove);
}
/** 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(
ParticleID aptype, ParticleID bptype,
CLHEP::HepLorentzVector const & pn,
CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & p1,
CLHEP::HepLorentzVector const & pa
){
using namespace currents;
if (aptype==pid::gluon && bptype==pid::gluon) {
return ME_gg(pn,pb,p1,pa);
}
if (aptype==pid::gluon && bptype!=pid::gluon) {
if (is_quark(bptype))
return ME_qg(pn,pb,p1,pa);
return ME_qbarg(pn,pb,p1,pa);
}
if (bptype==pid::gluon && aptype!=pid::gluon) {
if (is_quark(aptype))
return ME_qg(p1,pa,pn,pb);
return ME_qbarg(p1,pa,pn,pb);
}
// they are both quark
if (is_quark(bptype)) {
if (is_quark(aptype))
return ME_qQ(pn,pb,p1,pa);
return ME_qQbar(pn,pb,p1,pa);
}
if (is_quark(aptype))
return ME_qQbar(p1,pa,pn,pb);
return ME_qbarQbar(pn,pb,p1,pa);
}
/** 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
* @param wc Boolean. True->W Emitted from b. Else; emitted from leg a
* @returns ME Squared for Tree-Level Current-Current Scattering
*/
double ME_W_current(
ParticleID aptype, ParticleID 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,
bool const wc, ParticleProperties const & Wprop
){
using namespace currents;
// We know it cannot be gg incoming.
assert(!(aptype==pid::gluon && bptype==pid::gluon));
if (aptype==pid::gluon && bptype!=pid::gluon) {
if (is_quark(bptype))
return ME_W_qg(pn,plbar,pl,pb,p1,pa,Wprop);
return ME_W_qbarg(pn,plbar,pl,pb,p1,pa,Wprop);
}
if (bptype==pid::gluon && aptype!=pid::gluon) {
if (is_quark(aptype))
return ME_W_qg(p1,plbar,pl,pa,pn,pb,Wprop);
return ME_W_qbarg(p1,plbar,pl,pa,pn,pb,Wprop);
}
// they are both quark
if (wc){ // emission off b, (first argument pbout)
if (is_quark(bptype)) {
if (is_quark(aptype))
return ME_W_qQ(pn,plbar,pl,pb,p1,pa,Wprop);
return ME_W_qQbar(pn,plbar,pl,pb,p1,pa,Wprop);
}
if (is_quark(aptype))
return ME_W_qbarQ(pn,plbar,pl,pb,p1,pa,Wprop);
return ME_W_qbarQbar(pn,plbar,pl,pb,p1,pa,Wprop);
}
// emission off a, (first argument paout)
if (is_quark(aptype)) {
if (is_quark(bptype))
return ME_W_qQ(p1,plbar,pl,pa,pn,pb,Wprop);
return ME_W_qQbar(p1,plbar,pl,pa,pn,pb,Wprop);
}
// a is anti-quark
if (is_quark(bptype))
return ME_W_qbarQ(p1,plbar,pl,pa,pn,pb,Wprop);
return ME_W_qbarQbar(p1,plbar,pl,pa,pn,pb,Wprop);
}
/** 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
* @param wc Boolean. True->W Emitted from b. Else; emitted from leg a
* @returns ME Squared for unob Tree-Level Current-Current Scattering
*
* @note The unof contribution can be calculated by reversing the argument ordering.
*/
double ME_W_uno_current(
ParticleID aptype, ParticleID 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, ParticleProperties const & Wprop
){
using namespace currents;
// we know they are not both gluons
assert(bptype != pid::gluon || aptype != pid::gluon);
if (bptype == pid::gluon && aptype != pid::gluon) {
// b gluon => W emission off a
if (is_quark(aptype))
return ME_Wuno_qg(p1,pa,pn,pb,pg,plbar,pl,Wprop);
return ME_Wuno_qbarg(p1,pa,pn,pb,pg,plbar,pl,Wprop);
}
// they are both quark
if (wc) {// emission off b, i.e. b is first current
if (is_quark(bptype)){
if (is_quark(aptype))
return ME_W_unob_qQ(p1,pa,pn,pb,pg,plbar,pl,Wprop);
return ME_W_unob_qQbar(p1,pa,pn,pb,pg,plbar,pl,Wprop);
}
if (is_quark(aptype))
return ME_W_unob_qbarQ(p1,pa,pn,pb,pg,plbar,pl,Wprop);
return ME_W_unob_qbarQbar(p1,pa,pn,pb,pg,plbar,pl,Wprop);
}
// wc == false, emission off a, i.e. a is first current
if (is_quark(aptype)) {
if (is_quark(bptype)) //qq
return ME_Wuno_qQ(p1,pa,pn,pb,pg,plbar,pl,Wprop);
//qqbar
return ME_Wuno_qQbar(p1,pa,pn,pb,pg,plbar,pl,Wprop);
}
// a is anti-quark
if (is_quark(bptype)) //qbarq
return ME_Wuno_qbarQ(p1,pa,pn,pb,pg,plbar,pl,Wprop);
//qbarqbar
return ME_Wuno_qbarQbar(p1,pa,pn,pb,pg,plbar,pl,Wprop);
}
/** \brief Matrix element squared for backward qqbar 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
* @param swap_qqbar Ordering of qqbar pair. False: pqbar extremal.
* @param wc Boolean. True->W Emitted from b. Else; emitted from leg a
* @returns ME Squared for qqbarb Tree-Level Current-Current Scattering
*
* @note calculate forwards qqbar contribution by reversing argument ordering.
*/
double ME_W_qqbar_current(
ParticleID aptype, ParticleID 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 swap_qqbar, bool const wc,
ParticleProperties const & Wprop
){
using namespace currents;
// With qqbar we could have 2 incoming gluons and W Emission
if (aptype==pid::gluon && bptype==pid::gluon) {
//a gluon, b gluon gg->qqbarWg
// This will be a wqqbar emission as there is no other possible W Emission
// Site.
if (swap_qqbar)
return ME_WExqqbar_qqbarg(pa, pqbar, plbar, pl, pq, pn, pb, Wprop);
return ME_WExqqbar_qbarqg(pa, pq, plbar, pl, pqbar, pn, pb, Wprop);
}
assert(aptype==pid::gluon && bptype!=pid::gluon );
//a gluon => W emission off b leg or qqbar
if (!wc){ // W Emitted from backwards qqbar
if (swap_qqbar)
return ME_WExqqbar_qqbarQ(pa, pqbar, plbar, pl, pq, pn, pb, Wprop);
return ME_WExqqbar_qbarqQ(pa, pq, plbar, pl, pqbar, pn, pb, Wprop);
}
// W Must be emitted from forwards leg.
return ME_W_Exqqbar_QQq(pb, pa, pn, pq, pqbar, plbar, pl, is_antiquark(bptype), Wprop);
}
/* \brief Matrix element squared for central qqbar 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 qqbarpair
* @param nbelow Number of gluons emitted after central qqbarpair
* @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 qqbar
* @param wc Boolean. wc=true signifies w boson emitted from leg b; if wqq=false.
* @returns ME Squared for qqbar_mid Tree-Level Current-Current Scattering
*/
double ME_W_qqbar_mid_current(
ParticleID aptype, ParticleID bptype,
int nabove, int nbelow,
CLHEP::HepLorentzVector const & pa,
CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & pq,
CLHEP::HepLorentzVector const & pqbar,
std::vector<CLHEP::HepLorentzVector> const & partons,
CLHEP::HepLorentzVector const & plbar,
CLHEP::HepLorentzVector const & pl,
bool const wqq, bool const wc,
ParticleProperties const & Wprop
){
using namespace currents;
// CAM factors for the qqbar amps, and qqbar ordering (default, pq backwards)
const bool swap_qqbar=pqbar.rapidity() < pq.rapidity();
double wt=1.;
if (aptype==pid::gluon) wt*=K_g(partons.front(),pa)/C_F;
if (bptype==pid::gluon) wt*=K_g(partons.back(),pb)/C_F;
if(wqq)
return wt*ME_WCenqqbar_qq(pa, pb, pl, plbar, partons,
is_antiquark(aptype),is_antiquark(bptype),
swap_qqbar, nabove, Wprop);
return wt*ME_W_Cenqqbar_qq(pa, pb, pl, plbar, partons,
is_antiquark(aptype), is_antiquark(bptype),
swap_qqbar, nabove, nbelow, wc, Wprop);
}
/** Matrix element squared for tree-level current-current scattering With Z+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 plbar Final state positron momentum
* @param pl Final state electron momentum
* @param Zprop Z properties
* @param stw2 Value of sin(theta_w)^2
* @param ctw Value of cos(theta_w)
* @returns ME Squared for Tree-Level Current-Current Scattering
*/
std::vector<double> ME_Z_current(
const ParticleID aptype, const ParticleID 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,
ParticleProperties const & Zprop,
const double stw2, const double ctw
){
using namespace currents;
// we know they are not both gluons
assert(!is_gluon(aptype) || !is_gluon(bptype));
if(is_anyquark(aptype) && is_gluon(bptype)){
// This is a qg event
return { ME_Z_qg(pa,pb,p1,pn,plbar,pl,aptype,bptype,Zprop,stw2,ctw) };
}
if(is_gluon(aptype) && is_anyquark(bptype)){
// This is a gq event
return { ME_Z_qg(pb,pa,pn,p1,plbar,pl,bptype,aptype,Zprop,stw2,ctw) };
}
assert(is_anyquark(aptype) && is_anyquark(bptype));
// This is a qq event
return ME_Z_qQ(pa,pb,p1,pn,plbar,pl,aptype,bptype,Zprop,stw2,ctw);
}
/** Matrix element squared for backwards uno tree-level current-current
* scattering With Z+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
* @param plbar Final state positron momentum
* @param pl Final state electron momentum
* @param Zprop Z properties
* @param stw2 Value of sin(theta_w)^2
* @param ctw Value of cos(theta_w)
* @returns ME Squared for unob Tree-Level Current-Current Scattering
*
* @note The unof contribution can be calculated by reversing the argument ordering.
*/
std::vector<double> ME_Z_uno_current(
const ParticleID aptype, const ParticleID 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,
ParticleProperties const & Zprop,
const double stw2, const double ctw
){
using namespace currents;
// we know they are not both gluons
assert(!is_gluon(aptype) || !is_gluon(bptype));
if (is_anyquark(aptype) && is_gluon(bptype)) {
// This is a qg event
return { ME_Zuno_qg(pa,pb,pg,p1,pn,plbar,pl,aptype,bptype,Zprop,stw2,ctw) };
}
if (is_gluon(aptype) && is_anyquark(bptype)) {
// This is a gq event
return { ME_Zuno_qg(pb,pa,pg,pn,p1,plbar,pl,bptype,aptype,Zprop,stw2,ctw) };
}
assert(is_anyquark(aptype) && is_anyquark(bptype));
// This is a qq event
return ME_Zuno_qQ(pa,pb,pg,p1,pn,plbar,pl,aptype,bptype,Zprop,stw2,ctw);
}
/** \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(
ParticleID aptype, ParticleID 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, double vev
){
using namespace currents;
if (aptype==pid::gluon && bptype==pid::gluon)
// gg initial state
return ME_H_gg(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev);
if (aptype==pid::gluon&&bptype!=pid::gluon) {
if (is_quark(bptype))
return ME_H_qg(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev)*4./9.;
return ME_H_qbarg(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev)*4./9.;
}
if (bptype==pid::gluon && aptype!=pid::gluon) {
if (is_quark(aptype))
return ME_H_qg(p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev)*4./9.;
return ME_H_qbarg(p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev)*4./9.;
}
// they are both quark
if (is_quark(bptype)) {
if (is_quark(aptype))
return ME_H_qQ(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev)*4.*4./(9.*9.);
return ME_H_qQbar(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev)*4.*4./(9.*9.);
}
if (is_quark(aptype))
return ME_H_qbarQ(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev)*4.*4./(9.*9.);
return ME_H_qbarQbar(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev)*4.*4./(9.*9.);
}
/** \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 pg 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
*
* @note This function assumes unordered gluon backwards from pa-p1 current.
* For unof, reverse call order
*/
double ME_Higgs_current_uno(
ParticleID aptype, ParticleID bptype,
CLHEP::HepLorentzVector const & pg,
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, double vev
){
using namespace currents;
if (bptype==pid::gluon && aptype!=pid::gluon) {
if (is_quark(aptype))
return ME_H_unob_gQ(pg,p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev);
return ME_H_unob_gQbar(pg,p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev);
}
// they are both quark
if (is_quark(aptype)) {
if (is_quark(bptype))
return ME_H_unob_qQ(pg,p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev);
return ME_H_unob_qbarQ(pg,p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev);
}
if (is_quark(bptype))
return ME_H_unob_qQbar(pg,p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev);
return ME_H_unob_qbarQbar(pg,p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev);
}
void validate(MatrixElementConfig const & config) {
#ifndef HEJ_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
MatrixElement::MatrixElement(
std::function<double (double)> alpha_s,
MatrixElementConfig conf
):
alpha_s_{std::move(alpha_s)},
param_{std::move(conf)}
{
validate(param_);
}
std::vector<double> MatrixElement::tree_kin(
Event const & ev
) const {
if(!ev.valid_hej_state(param_.soft_pt_regulator)) return {0.};
auto AWZH_boson = std::find_if(
begin(ev.outgoing()), end(ev.outgoing()),
[](Particle const & p){return is_AWZH_boson(p);}
);
if(AWZH_boson == end(ev.outgoing()))
return {tree_kin_jets(ev)};
switch(AWZH_boson->type){
case pid::Higgs:
return {tree_kin_Higgs(ev)};
case pid::Wp:
case pid::Wm:
return {tree_kin_W(ev)};
case pid::Z_photon_mix:
return tree_kin_Z(ev);
// TODO
case pid::photon:
case pid::Z:
default:
throw not_implemented("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 lambda
){
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, lambda)*C_A;
} else{
wt *= C2Lipatovots(qip1, qi, pa, pb, p1, pn, lambda)*C_A;
}
qi = qip1;
}
return wt;
}
template<class InputIterator>
std::vector <double> FKL_ladder_weight_mix(
InputIterator begin_gluon, InputIterator end_gluon,
CLHEP::HepLorentzVector const & q0_t, CLHEP::HepLorentzVector const & q0_b,
CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & pn,
const double lambda
){
double wt_top = 1;
double wt_bot = 1;
double wt_mix = 1;
auto qi_t = q0_t;
auto qi_b = q0_b;
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_t = qi_t - g;
const auto qip1_b = qi_b - g;
if(treat_as_extremal(*gluon_it)){
wt_top *= C2Lipatovots(qip1_t, qi_t, pa, pb, lambda)*C_A;
wt_bot *= C2Lipatovots(qip1_b, qi_b, pa, pb, lambda)*C_A;
wt_mix *= C2Lipatovots_Mix(qip1_t, qi_t, qip1_b, qi_b, pa, pb, lambda)*C_A;
} else{
wt_top *= C2Lipatovots(qip1_t, qi_t, pa, pb, p1, pn, lambda)*C_A;
wt_bot *= C2Lipatovots(qip1_b, qi_b, pa, pb, p1, pn, lambda)*C_A;
wt_mix *= C2Lipatovots_Mix(qip1_t, qi_t, qip1_b, qi_b, pa, pb, p1, pn, lambda)*C_A;
}
qi_t = qip1_t;
qi_b = qip1_b;
}
return {wt_top, wt_bot, wt_mix};
}
std::vector<Particle> tag_extremal_jet_partons( Event const & ev ){
auto out_partons = filter_partons(ev.outgoing());
if(out_partons.size() == ev.jets().size()){
// no additional emissions in extremal jets, don't need to tag anything
for(auto & parton: out_partons){
parton.p.set_user_index(NO_EXTREMAL_JET_IDX);
}
return out_partons;
}
auto const & jets = ev.jets();
std::vector<fastjet::PseudoJet> extremal_jets;
if(! is_backward_g_to_h(ev)) {
auto most_backward = begin(jets);
// skip jets caused by unordered emission or qqbar
if(ev.type() == event_type::unob || ev.type() == event_type::qqbar_exb){
assert(jets.size() >= 2);
++most_backward;
}
extremal_jets.emplace_back(*most_backward);
}
if(! is_forward_g_to_h(ev)) {
auto most_forward = end(jets) - 1;
if(ev.type() == event_type::unof || ev.type() == event_type::qqbar_exf){
assert(jets.size() >= 2);
--most_forward;
}
extremal_jets.emplace_back(*most_forward);
}
const auto extremal_jet_indices = ev.particle_jet_indices(
extremal_jets
);
assert(extremal_jet_indices.size() == out_partons.size());
for(std::size_t i = 0; i < out_partons.size(); ++i){
assert(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 tree_kin_jets_qqbar_mid(
ParticleID aptype, ParticleID bptype,
CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pb,
std::vector<Particle> const & partons,
double lambda
){
CLHEP::HepLorentzVector pq;
CLHEP::HepLorentzVector pqbar;
const auto backmidquark = std::find_if(
begin(partons)+1, end(partons)-1,
[](Particle const & s){ return s.type != pid::gluon; }
);
assert(backmidquark!=end(partons)-1);
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 qqbar
auto qqbart = q0;
const auto begin_ladder = cbegin(partons) + 1;
const auto end_ladder_1 = (backmidquark);
const auto begin_ladder_2 = (backmidquark+2);
const auto end_ladder = cend(partons) - 1;
for(auto parton_it = begin_ladder; parton_it < begin_ladder_2; ++parton_it){
qqbart -= to_HepLorentzVector(*parton_it);
}
const int nabove = std::distance(begin_ladder, backmidquark);
std::vector<CLHEP::HepLorentzVector> partonsHLV;
partonsHLV.reserve(partons.size());
for (std::size_t i = 0; i != partons.size(); ++i) {
partonsHLV.push_back(to_HepLorentzVector(partons[i]));
}
const double current_factor = ME_qqbar_mid_current(
aptype, bptype, nabove, pa, pb,
pq, pqbar, partonsHLV
);
const double ladder_factor = FKL_ladder_weight(
begin_ladder, end_ladder_1,
q0, pa, pb, p1, pn,
lambda
)*FKL_ladder_weight(
begin_ladder_2, end_ladder,
qqbart, pa, pb, p1, pn,
lambda
);
return current_factor*ladder_factor;
}
template<class InIter, class partIter>
double tree_kin_jets_qqbar(InIter BeginIn, InIter EndIn, partIter BeginPart,
partIter EndPart, double lambda){
const bool swap_qqbar = is_quark(*BeginPart);
const auto pgin = to_HepLorentzVector(*BeginIn);
const auto pb = to_HepLorentzVector(*(EndIn-1));
const auto pq = to_HepLorentzVector(*(BeginPart+(swap_qqbar?0:1)));
const auto pqbar = to_HepLorentzVector(*(BeginPart+(swap_qqbar?1:0)));
const auto p1 = to_HepLorentzVector(*(BeginPart));
const auto pn = to_HepLorentzVector(*(EndPart-1));
assert((BeginIn)->type==pid::gluon); // Incoming a must be gluon.
const double current_factor = ME_qqbar_current(
(EndIn-1)->type, pgin, pq, pqbar, pn, pb, swap_qqbar
)/(4.*(N_C*N_C - 1.));
const double ladder_factor = FKL_ladder_weight(
(BeginPart+2), (EndPart-1),
pgin-pq-pqbar, pgin, pb, p1, pn, lambda
);
return current_factor*ladder_factor;
}
template<class InIter, class partIter>
double tree_kin_jets_uno(InIter BeginIn, InIter EndIn, partIter BeginPart,
partIter EndPart, double lambda
){
const auto pa = to_HepLorentzVector(*BeginIn);
const auto pb = to_HepLorentzVector(*(EndIn-1));
const auto pg = to_HepLorentzVector(*BeginPart);
const auto p1 = to_HepLorentzVector(*(BeginPart+1));
const auto pn = to_HepLorentzVector(*(EndPart-1));
const double current_factor = ME_uno_current(
(BeginIn)->type, (EndIn-1)->type, pg, pn, pb, p1, pa
);
const double ladder_factor = FKL_ladder_weight(
(BeginPart+2), (EndPart-1),
pa-p1-pg, pa, pb, p1, pn, lambda
);
return current_factor*ladder_factor;
}
} // namespace
double MatrixElement::tree_kin_jets(Event const & ev) const {
auto const & incoming = ev.incoming();
const auto partons = tag_extremal_jet_partons(ev);
if (ev.type()==event_type::FKL){
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,
param_.regulator_lambda
);
}
if (ev.type()==event_type::unordered_backward){
return tree_kin_jets_uno(incoming.begin(), incoming.end(),
partons.begin(), partons.end(),
param_.regulator_lambda);
}
if (ev.type()==event_type::unordered_forward){
return tree_kin_jets_uno(incoming.rbegin(), incoming.rend(),
partons.rbegin(), partons.rend(),
param_.regulator_lambda);
}
if (ev.type()==event_type::extremal_qqbar_backward){
return tree_kin_jets_qqbar(incoming.begin(), incoming.end(),
partons.begin(), partons.end(),
param_.regulator_lambda);
}
if (ev.type()==event_type::extremal_qqbar_forward){
return tree_kin_jets_qqbar(incoming.rbegin(), incoming.rend(),
partons.rbegin(), partons.rend(),
param_.regulator_lambda);
}
if (ev.type()==event_type::central_qqbar){
return tree_kin_jets_qqbar_mid(incoming[0].type, incoming[1].type,
to_HepLorentzVector(incoming[0]),
to_HepLorentzVector(incoming[1]),
partons, param_.regulator_lambda);
}
throw std::logic_error("Cannot reweight non-resummable processes in Pure Jets");
}
namespace {
double tree_kin_W_FKL(
ParticleID aptype, ParticleID bptype,
CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pb,
std::vector<Particle> const & partons,
CLHEP::HepLorentzVector const & plbar, CLHEP::HepLorentzVector const & pl,
double lambda, ParticleProperties const & Wprop
){
auto p1 = to_HepLorentzVector(partons[0]);
auto pn = to_HepLorentzVector(partons[partons.size() - 1]);
const auto begin_ladder = cbegin(partons) + 1;
const auto end_ladder = cend(partons) - 1;
bool wc = aptype==partons[0].type; //leg b emits w
auto q0 = pa - p1;
if(!wc)
q0 -= pl + plbar;
const double current_factor = ME_W_current(
aptype, bptype, pn, pb,
p1, pa, plbar, pl, wc, Wprop
);
const double ladder_factor = FKL_ladder_weight(
begin_ladder, end_ladder,
q0, pa, pb, p1, pn,
lambda
);
return current_factor*ladder_factor;
}
template<class InIter, class partIter>
double tree_kin_W_uno(InIter BeginIn, partIter BeginPart,
partIter EndPart,
const CLHEP::HepLorentzVector & plbar,
const CLHEP::HepLorentzVector & pl,
double lambda, ParticleProperties const & Wprop
){
const auto pa = to_HepLorentzVector(*BeginIn);
const auto pb = to_HepLorentzVector(*(BeginIn+1));
const auto pg = to_HepLorentzVector(*BeginPart);
const auto p1 = to_HepLorentzVector(*(BeginPart+1));
const auto pn = to_HepLorentzVector(*(EndPart-1));
bool wc = (BeginIn)->type==(BeginPart+1)->type; //leg b emits w
auto q0 = pa - p1 - pg;
if(!wc)
q0 -= pl + plbar;
const double current_factor = ME_W_uno_current(
(BeginIn)->type, (BeginIn+1)->type, pn, pb,
p1, pa, pg, plbar, pl, wc, Wprop
);
const double ladder_factor = FKL_ladder_weight(
BeginPart+2, EndPart-1,
q0, pa, pb, p1, pn,
lambda
);
return current_factor*ladder_factor;
}
template<class InIter, class partIter>
double tree_kin_W_qqbar(InIter BeginIn, partIter BeginPart,
partIter EndPart,
const CLHEP::HepLorentzVector & plbar,
const CLHEP::HepLorentzVector & pl,
double lambda, ParticleProperties const & Wprop
){
const bool swap_qqbar=is_quark(*BeginPart);
const auto pa = to_HepLorentzVector(*BeginIn);
const auto pb = to_HepLorentzVector(*(BeginIn+1));
const auto pq = to_HepLorentzVector(*(BeginPart+(swap_qqbar?0:1)));
const auto pqbar = to_HepLorentzVector(*(BeginPart+(swap_qqbar?1:0)));
const auto p1 = to_HepLorentzVector(*(BeginPart));
const auto pn = to_HepLorentzVector(*(EndPart-1));
const bool wc = (BeginIn+1)->type!=(EndPart-1)->type; //leg b emits w
auto q0 = pa - pq - pqbar;
if(!wc)
q0 -= pl + plbar;
const double current_factor = ME_W_qqbar_current(
(BeginIn)->type, (BeginIn+1)->type, pa, pb,
pq, pqbar, pn, plbar, pl, swap_qqbar, wc, Wprop
);
const double ladder_factor = FKL_ladder_weight(
BeginPart+2, EndPart-1,
q0, pa, pb, p1, pn,
lambda
);
return current_factor*ladder_factor;
}
double tree_kin_W_qqbar_mid(
ParticleID aptype, ParticleID bptype,
CLHEP::HepLorentzVector const & pa,
CLHEP::HepLorentzVector const & pb,
std::vector<Particle> const & partons,
CLHEP::HepLorentzVector const & plbar, CLHEP::HepLorentzVector const & pl,
double lambda, ParticleProperties const & Wprop
){
CLHEP::HepLorentzVector pq;
CLHEP::HepLorentzVector pqbar;
const auto backmidquark = std::find_if(
begin(partons)+1, end(partons)-1,
[](Particle const & s){ return s.type != pid::gluon; }
);
assert(backmidquark!=end(partons)-1);
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.front());
auto pn = to_HepLorentzVector(partons.back());
auto q0 = pa - p1;
// t-channel momentum after qqbar
auto qqbart = q0;
bool wqq = backmidquark->type != -(backmidquark+1)->type; // qqbar emit W
bool wc = !wqq && (aptype==partons.front().type); //leg b emits w
assert(!wqq || !wc);
if(wqq){ // emission from qqbar
qqbart -= pl + plbar;
} else if(!wc) { // emission from leg a
q0 -= pl + plbar;
qqbart -= pl + plbar;
}
const auto begin_ladder = cbegin(partons) + 1;
const auto end_ladder_1 = (backmidquark);
const auto begin_ladder_2 = (backmidquark+2);
const auto end_ladder = cend(partons) - 1;
for(auto parton_it = begin_ladder; parton_it < begin_ladder_2; ++parton_it){
qqbart -= to_HepLorentzVector(*parton_it);
}
const int nabove = std::distance(begin_ladder, backmidquark);
const int nbelow = std::distance(begin_ladder_2, end_ladder);
std::vector<CLHEP::HepLorentzVector> partonsHLV;
partonsHLV.reserve(partons.size());
for (std::size_t i = 0; i != partons.size(); ++i) {
partonsHLV.push_back(to_HepLorentzVector(partons[i]));
}
const double current_factor = ME_W_qqbar_mid_current(
aptype, bptype, nabove, nbelow, pa, pb,
pq, pqbar, partonsHLV, plbar, pl, wqq, wc, Wprop
);
const double ladder_factor = FKL_ladder_weight(
begin_ladder, end_ladder_1,
q0, pa, pb, p1, pn,
lambda
)*FKL_ladder_weight(
begin_ladder_2, end_ladder,
qqbart, pa, pb, p1, pn,
lambda
);
return current_factor*C_A*C_A/(N_C*N_C-1.)*ladder_factor;
}
} // namespace
double MatrixElement::tree_kin_W(Event const & ev) const {
using namespace event_type;
auto const & incoming(ev.incoming());
#ifndef NDEBUG
// assert that there is exactly one decay corresponding to the W
assert(ev.decays().size() == 1);
auto const & w_boson{
std::find_if(ev.outgoing().cbegin(), ev.outgoing().cend(),
[] (Particle const & p) -> bool {
return std::abs(p.type) == ParticleID::Wp;
}) };
assert(w_boson != ev.outgoing().cend());
assert( static_cast<long int>(ev.decays().cbegin()->first)
== std::distance(ev.outgoing().cbegin(), w_boson) );
#endif
// find decay products of W
auto const & decay{ ev.decays().cbegin()->second };
assert(decay.size() == 2);
assert( ( is_anylepton(decay.at(0)) && is_anyneutrino(decay.at(1)) )
|| ( is_anylepton(decay.at(1)) && is_anyneutrino(decay.at(0)) ) );
// get lepton & neutrino
CLHEP::HepLorentzVector plbar;
CLHEP::HepLorentzVector pl;
if (decay.at(0).type < 0){
plbar = to_HepLorentzVector(decay.at(0));
pl = to_HepLorentzVector(decay.at(1));
}
else{
pl = to_HepLorentzVector(decay.at(0));
plbar = to_HepLorentzVector(decay.at(1));
}
const auto pa = to_HepLorentzVector(incoming[0]);
const auto pb = to_HepLorentzVector(incoming[1]);
const auto partons = tag_extremal_jet_partons(ev);
if(ev.type() == FKL){
return tree_kin_W_FKL(incoming[0].type, incoming[1].type,
pa, pb, partons, plbar, pl,
param_.regulator_lambda,
param_.ew_parameters.Wprop());
}
if(ev.type() == unordered_backward){
return tree_kin_W_uno(cbegin(incoming), cbegin(partons),
cend(partons), plbar, pl,
param_.regulator_lambda,
param_.ew_parameters.Wprop());
}
if(ev.type() == unordered_forward){
return tree_kin_W_uno(crbegin(incoming), crbegin(partons),
crend(partons), plbar, pl,
param_.regulator_lambda,
param_.ew_parameters.Wprop());
}
if(ev.type() == extremal_qqbar_backward){
return tree_kin_W_qqbar(cbegin(incoming), cbegin(partons),
cend(partons), plbar, pl,
param_.regulator_lambda,
param_.ew_parameters.Wprop());
}
if(ev.type() == extremal_qqbar_forward){
return tree_kin_W_qqbar(crbegin(incoming), crbegin(partons),
crend(partons), plbar, pl,
param_.regulator_lambda,
param_.ew_parameters.Wprop());
}
assert(ev.type() == central_qqbar);
return tree_kin_W_qqbar_mid(incoming[0].type, incoming[1].type,
pa, pb, partons, plbar, pl,
param_.regulator_lambda,
param_.ew_parameters.Wprop());
}
namespace {
std::vector <double> tree_kin_Z_FKL(
const ParticleID aptype, const ParticleID bptype,
CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pb,
std::vector<Particle> const & partons,
CLHEP::HepLorentzVector const & plbar, CLHEP::HepLorentzVector const & pl,
const double lambda, ParticleProperties const & Zprop,
const double stw2, const double ctw
){
const auto p1 = to_HepLorentzVector(partons[0]);
const auto pn = to_HepLorentzVector(partons[partons.size() - 1]);
const auto begin_ladder = cbegin(partons) + 1;
const auto end_ladder = cend(partons) - 1;
const std::vector <double> current_factor = ME_Z_current(
aptype, bptype, pn, pb, p1, pa,
plbar, pl, Zprop, stw2, ctw
);
std::vector <double> ladder_factor;
if(is_gluon(bptype)){
// This is a qg event
const auto q0 = pa-p1-plbar-pl;
ladder_factor.push_back(FKL_ladder_weight(begin_ladder, end_ladder,
q0, pa, pb, p1, pn, lambda));
} else if(is_gluon(aptype)){
// This is a gq event
const auto q0 = pa-p1;
ladder_factor.push_back(FKL_ladder_weight(begin_ladder, end_ladder,
q0, pa, pb, p1, pn, lambda));
} else {
// This is a qq event
const auto q0 = pa-p1-plbar-pl;
const auto q1 = pa-p1;
ladder_factor=FKL_ladder_weight_mix(begin_ladder, end_ladder,
q0, q1, pa, pb, p1, pn, lambda);
}
std::vector <double> result;
for(size_t i=0; i<current_factor.size(); ++i){
result.push_back(current_factor.at(i)*ladder_factor.at(i));
}
return result;
}
template<class InIter, class partIter>
std::vector <double> tree_kin_Z_uno(InIter BeginIn, partIter BeginPart, partIter EndPart,
const CLHEP::HepLorentzVector & plbar,
const CLHEP::HepLorentzVector & pl,
const double lambda, ParticleProperties const & Zprop,
const double stw2, const double ctw){
const auto pa = to_HepLorentzVector(*BeginIn);
const auto pb = to_HepLorentzVector(*(BeginIn+1));
const auto pg = to_HepLorentzVector(*BeginPart);
const auto p1 = to_HepLorentzVector(*(BeginPart+1));
const auto pn = to_HepLorentzVector(*(EndPart-1));
const ParticleID aptype = (BeginIn)->type;
const ParticleID bptype = (BeginIn+1)->type;
const std::vector <double> current_factor = ME_Z_uno_current(
aptype, bptype, pn, pb, p1, pa, pg,
plbar, pl, Zprop, stw2, ctw
);
std::vector <double> ladder_factor;
if(is_gluon(bptype)){
// This is a qg event
const auto q0 = pa-pg-p1-plbar-pl;
ladder_factor.push_back(FKL_ladder_weight(BeginPart+2, EndPart-1,
q0, pa, pb, p1, pn, lambda));
}else if(is_gluon(aptype)){
// This is a gq event
const auto q0 = pa-pg-p1;
ladder_factor.push_back(FKL_ladder_weight(BeginPart+2, EndPart-1,
q0, pa, pb, p1, pn, lambda));
}else{
// This is a qq event
const auto q0 = pa-pg-p1-plbar-pl;
const auto q1 = pa-pg-p1;
ladder_factor=FKL_ladder_weight_mix(BeginPart+2, EndPart-1,
q0, q1, pa, pb, p1, pn, lambda);
}
std::vector <double> result;
for(size_t i=0; i<current_factor.size(); ++i){
result.push_back(current_factor.at(i)*ladder_factor.at(i));
}
return result;
}
} // namespace
std::vector<double> MatrixElement::tree_kin_Z(Event const & ev) const {
using namespace event_type;
auto const & incoming(ev.incoming());
// find decay products of Z
auto const & decay{ ev.decays().cbegin()->second };
assert(decay.size() == 2);
assert(is_anylepton(decay.at(0)) && !is_anyneutrino(decay.at(0))
&& decay.at(0).type==-decay.at(1).type);
// get leptons
CLHEP::HepLorentzVector plbar;
CLHEP::HepLorentzVector pl;
if (decay.at(0).type < 0){
plbar = to_HepLorentzVector(decay.at(0));
pl = to_HepLorentzVector(decay.at(1));
}
else{
pl = to_HepLorentzVector(decay.at(0));
plbar = to_HepLorentzVector(decay.at(1));
}
const auto pa = to_HepLorentzVector(incoming[0]);
const auto pb = to_HepLorentzVector(incoming[1]);
const auto partons = tag_extremal_jet_partons(ev);
const double stw2 = param_.ew_parameters.sin2_tw();
const double ctw = param_.ew_parameters.cos_tw();
if(ev.type() == FKL){
return tree_kin_Z_FKL(incoming[0].type, incoming[1].type,
pa, pb, partons, plbar, pl,
param_.regulator_lambda,
param_.ew_parameters.Zprop(),
stw2, ctw);
}
if(ev.type() == unordered_backward){
return tree_kin_Z_uno(cbegin(incoming), cbegin(partons),
cend(partons), plbar, pl,
param_.regulator_lambda,
param_.ew_parameters.Zprop(),
stw2, ctw);
}
if(ev.type() == unordered_forward){
return tree_kin_Z_uno(crbegin(incoming), crbegin(partons),
crend(partons), plbar, pl,
param_.regulator_lambda,
param_.ew_parameters.Zprop(),
stw2, ctw);
}
throw std::logic_error("Can only reweight FKL or uno processes in Z+Jets");
}
double MatrixElement::tree_kin_Higgs(Event const & ev) const {
- if(is_uno(ev.type())){
- return tree_kin_Higgs_between(ev);
- }
if(ev.outgoing().front().type == pid::Higgs){
return tree_kin_Higgs_first(ev);
}
if(ev.outgoing().back().type == pid::Higgs){
return tree_kin_Higgs_last(ev);
}
return tree_kin_Higgs_between(ev);
}
namespace {
// Colour acceleration multipliers, for gluons see eq. (7) in arXiv:0910.5113
double K(
ParticleID type,
CLHEP::HepLorentzVector const & pout,
CLHEP::HepLorentzVector const & pin
){
if(type == pid::gluon) return currents::K_g(pout, pin);
return C_F;
}
} // namespace
// kinetic matrix element square for backward Higgs emission
// cf. eq:ME_h_jets_peripheral in developer manual,
// but without factors \alpha_s and the FKL ladder
double MatrixElement::MH2_backwardH(
const ParticleID type_forward,
CLHEP::HepLorentzVector const & pa,
CLHEP::HepLorentzVector const & pb,
CLHEP::HepLorentzVector const & pH,
CLHEP::HepLorentzVector const & pn
) const {
using namespace currents;
const double vev = param_.ew_parameters.vev();
return K(type_forward, pn, pb)*ME_jgH_j(
pH, pa, pn, pb,
param_.Higgs_coupling.mt, param_.Higgs_coupling.include_bottom,
param_.Higgs_coupling.mb, vev
)/(4.*(N_C*N_C - 1)*(pa-pH).m2()*(pb-pn).m2());
}
+ // kinetic matrix element square for backward unordered emission
+ // and forward Higgs emission
+ double MatrixElement::MH2_unob_forwardH(
+ const ParticleID type_backward,
+ CLHEP::HepLorentzVector const & pa,
+ CLHEP::HepLorentzVector const & pb,
+ CLHEP::HepLorentzVector const & pg,
+ CLHEP::HepLorentzVector const & p1,
+ CLHEP::HepLorentzVector const & pH
+ ) const {
+ using namespace currents;
+ const double vev = param_.ew_parameters.vev();
+ return K(type_backward, p1, pa)*ME_juno_jgH(
+ pg, p1, pa, pH, pb,
+ param_.Higgs_coupling.mt, param_.Higgs_coupling.include_bottom,
+ param_.Higgs_coupling.mb, vev
+ )/(4.*(N_C*N_C - 1)*(pa - p1 - pg).m2()*(pb - pH).m2());
+ }
+
double MatrixElement::tree_kin_Higgs_first(Event const & ev) const {
auto const & incoming = ev.incoming();
auto const & outgoing = ev.outgoing();
assert(outgoing.front().type == pid::Higgs);
if(is_anyquark(incoming.front())) {
assert(incoming.front().type == outgoing[1].type);
return tree_kin_Higgs_between(ev);
}
const auto partons = tag_extremal_jet_partons(ev);
const auto pa = to_HepLorentzVector(incoming.front());
const auto pb = to_HepLorentzVector(incoming.back());
const auto pH = to_HepLorentzVector(outgoing.front());
- const auto pn = to_HepLorentzVector(outgoing.back());
- return MH2_forwardH(
- incoming.back().type,
- pg, pb, pH, pn
- )*FKL_ladder_weight(
- begin(partons), end(partons) - 1,
- pg - pH, pg, pb, pH, pn,
+ const auto end_ladder = end(partons) - ((ev.type() == event_type::unof)?2:1);
+ const auto pn = to_HepLorentzVector(*end_ladder);
+
+ const double ladder = FKL_ladder_weight(
+ begin(partons), end_ladder,
+ pa - pH, pa, pb, pH, pn,
param_.regulator_lambda
);
+
+ if(ev.type() == event_type::unof) {
+ const auto pg = to_HepLorentzVector(outgoing.back());
+ return MH2_unob_forwardH(
+ incoming.back().type,
+ pb, pa, pg, pn, pH
+ )*ladder;
+ }
+
+ return MH2_backwardH(
+ incoming.back().type,
+ pa, pb, pH, pn
+ )*ladder;
}
double MatrixElement::tree_kin_Higgs_last(Event const & ev) const {
auto const & incoming = ev.incoming();
auto const & outgoing = ev.outgoing();
assert(outgoing.back().type == pid::Higgs);
if(is_anyquark(incoming.back())) {
assert(incoming.back().type == outgoing[outgoing.size()-2].type);
return tree_kin_Higgs_between(ev);
}
const auto partons = tag_extremal_jet_partons(ev);
const auto pa = to_HepLorentzVector(incoming.front());
const auto pb = to_HepLorentzVector(incoming.back());
- const auto p1 = to_HepLorentzVector(partons.front());
const auto pH = to_HepLorentzVector(outgoing.back());
- return MH2_forwardH(
- incoming.front().type,
- pg, pa, pH, p1
- )*FKL_ladder_weight(
- begin(partons) + 1, end(partons),
- pa - p1, pa, pg, p1, pH,
+ const auto begin_ladder = begin(partons) + ((ev.type() == event_type::unob)?2:1);
+ const auto p1 = to_HepLorentzVector(*(begin_ladder - 1));
+
+ const double ladder = FKL_ladder_weight(
+ begin_ladder + 1, end(partons),
+ pa - p1, pa, pb, p1, pH,
param_.regulator_lambda
);
+
+ if(ev.type() == event_type::unob) {
+ const auto pg = to_HepLorentzVector(outgoing.front());
+ return MH2_unob_forwardH(
+ incoming.front().type,
+ pa, pb, pg, p1, pH
+ )*ladder;
+ }
+
+ return MH2_backwardH(
+ incoming.front().type,
+ pb, pa, pH, p1
+ )*ladder;
}
namespace {
template<class InIter, class partIter>
double tree_kin_Higgs_uno(InIter BeginIn, InIter EndIn, partIter BeginPart,
partIter EndPart,
CLHEP::HepLorentzVector const & qH,
CLHEP::HepLorentzVector const & qHp1,
double mt, bool inc_bot, double mb, double vev
){
const auto pa = to_HepLorentzVector(*BeginIn);
const auto pb = to_HepLorentzVector(*(EndIn-1));
const auto pg = to_HepLorentzVector(*BeginPart);
const auto p1 = to_HepLorentzVector(*(BeginPart+1));
const auto pn = to_HepLorentzVector(*(EndPart-1));
return ME_Higgs_current_uno(
(BeginIn)->type, (EndIn-1)->type, pg, pn, pb, p1, pa,
qH, qHp1, mt, inc_bot, mb, vev
);
}
} // namespace
double MatrixElement::tree_kin_Higgs_between(Event const & ev) const {
using namespace event_type;
auto const & incoming = ev.incoming();
auto const & outgoing = ev.outgoing();
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);
const auto partons = tag_extremal_jet_partons(ev);
const auto pa = to_HepLorentzVector(incoming[0]);
const auto pb = to_HepLorentzVector(incoming[1]);
auto p1 = to_HepLorentzVector(
partons[(ev.type() == unob)?1:0]
);
auto pn = to_HepLorentzVector(
partons[partons.size() - ((ev.type() == unof)?2:1)]
);
auto first_after_Higgs = begin(partons) + (the_Higgs-begin(outgoing));
assert(
(first_after_Higgs == end(partons) && (
(ev.type() == unob)
|| partons.back().type != pid::gluon
))
|| first_after_Higgs->rapidity() >= the_Higgs->rapidity()
);
assert(
(first_after_Higgs == begin(partons) && (
(ev.type() == unof)
|| 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 = NAN;
if(ev.type() == FKL){
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,
param_.ew_parameters.vev()
);
}
else if(ev.type() == unob){
current_factor = C_A*C_A/2*tree_kin_Higgs_uno(
begin(incoming), end(incoming), begin(partons),
end(partons), qH, qH-pH, param_.Higgs_coupling.mt,
param_.Higgs_coupling.include_bottom, param_.Higgs_coupling.mb,
param_.ew_parameters.vev()
);
const auto p_unob = to_HepLorentzVector(partons.front());
q0 -= p_unob;
p1 += p_unob;
++begin_ladder;
}
else if(ev.type() == unof){
current_factor = C_A*C_A/2*tree_kin_Higgs_uno(
rbegin(incoming), rend(incoming), rbegin(partons),
rend(partons), qH-pH, qH, param_.Higgs_coupling.mt,
param_.Higgs_coupling.include_bottom, param_.Higgs_coupling.mb,
param_.ew_parameters.vev()
);
pn += to_HepLorentzVector(partons.back());
--end_ladder;
}
else{
throw std::logic_error("Can only reweight FKL or uno processes in H+Jets");
}
const double ladder_factor = FKL_ladder_weight(
begin_ladder, first_after_Higgs,
q0, pa, pb, p1, pn,
param_.regulator_lambda
)*FKL_ladder_weight(
first_after_Higgs, end_ladder,
qH - pH, pa, pb, p1, pn,
param_.regulator_lambda
);
return current_factor*C_A*C_A/(N_C*N_C-1.)*ladder_factor;
}
namespace {
double get_AWZH_coupling(Event const & ev, double alpha_s, double alpha_w) {
const auto AWZH_boson = std::find_if(
begin(ev.outgoing()), end(ev.outgoing()),
[](auto const & p){return is_AWZH_boson(p);}
);
if(AWZH_boson == end(ev.outgoing())) return 1.;
switch(AWZH_boson->type){
case pid::Higgs:
return alpha_s*alpha_s;
case pid::Wp:
case pid::Wm:
case pid::Z_photon_mix:
return alpha_w*alpha_w;
// TODO
case pid::photon:
case pid::Z:
default:
throw not_implemented("Emission of boson of unsupported type");
}
}
} // namespace
double MatrixElement::tree_param(Event const & ev, double mur) const {
assert(is_resummable(ev.type()));
const auto begin_partons = ev.begin_partons();
const auto end_partons = ev.end_partons();
const auto num_partons = std::distance(begin_partons, end_partons);
const double alpha_s = alpha_s_(mur);
const double gs2 = 4.*M_PI*alpha_s;
double res = std::pow(gs2, num_partons);
if(param_.log_correction){
// use alpha_s(q_perp), evolved to mur
assert(num_partons >= 2);
const auto first_emission = std::next(begin_partons);
const auto last_emission = std::prev(end_partons);
for(auto parton = first_emission; parton != last_emission; ++parton){
res *= 1. + alpha_s/(2.*M_PI)*BETA0*std::log(mur/parton->perp());
}
}
return get_AWZH_coupling(ev, alpha_s, param_.ew_parameters.alpha_w())*res;
}
} // namespace HEJ

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