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diff --git a/src/MatrixElement.cc b/src/MatrixElement.cc
index ddbf12b..f1aa46a 100644
--- a/src/MatrixElement.cc
+++ b/src/MatrixElement.cc
@@ -1,2144 +1,2144 @@
/**
* \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 "CLHEP/Vector/LorentzVector.h"
#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/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 qqx 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::qqxexb) {
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::qqxexf){
--last_idx;
}
if (in[0].type != partons[0].type ){
q -= WBoson.p;
#ifndef NDEBUG
wc=false;
#endif
}
}
std::size_t first_idx_qqx = last_idx;
std::size_t last_idx_qqx = last_idx;
//if qqxMid event, virtual correction do not occur between
//qqx pair.
if(event.type() == event_type::qqxmid){
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_qqx = 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_qqx) q -= partons[last_idx+1].p;
if (wqq) q -= WBoson.p;
for(std::size_t j = first_idx_qqx; j < last_idx_qqx; ++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::qqxexf
);
#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, extremal qqx 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)
|| event.type() == event_type::unob
|| event.type() == event_type::qqxexb){
q -= out[1].p;
++first_idx;
}
if((out.back().type == pid::Higgs)
|| event.type() == event_type::unof
|| event.type() == event_type::qqxexf){
--last_idx;
}
std::size_t first_idx_qqx = last_idx;
std::size_t last_idx_qqx = last_idx;
//if qqxMid event, virtual correction do not occur between
//qqx pair.
if(event.type() == event_type::qqxmid){
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_qqx = 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_qqx) q -= out[last_idx+1].p;
for(std::size_t j = first_idx_qqx; j < last_idx_qqx; ++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
|| event.type() == event_type::unof
|| event.type() == event_type::qqxexf
);
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_q_qx Boolean. Ordering of qqbar pair. False: pqbar extremal.
* @returns ME Squared for Tree-Level Current-Current Scattering
*
* @note The qqxf contribution can be calculated by reversing the argument ordering.
*/
double ME_qqx_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_q_qx
){
using namespace currents;
if (bptype==pid::gluon) {
if (swap_q_qx) // pq extremal
return ME_Exqqx_qqbarg(pgin,pq,pqbar,pn,pb);
// pqbar extremal
return ME_Exqqx_qbarqg(pgin,pq,pqbar,pn,pb);
}
// b leg quark line
if (swap_q_qx) //extremal pq
return ME_Exqqx_qqbarQ(pgin,pq,pqbar,pn,pb);
return ME_Exqqx_qbarqQ(pgin,pq,pqbar,pn,pb);
}
/* \brief Matrix element squared for central qqx 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 qqxpair
* @param nbelow Number of gluons emitted after central qqxpair
* @param pa Initial state a Momentum
* @param pb Initial state b Momentum
* @param pq Final state qbar Momentum
* @param pqbar Final state q Momentum
* @param partons Vector of all outgoing partons
* @returns ME Squared for qqxmid Tree-Level Current-Current Scattering
*/
double ME_qqxmid_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 qqx amps, and qqbar ordering (default, pq backwards)
const bool swap_q_qx=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_Cenqqx_qq(pa, pb, partons, is_antiquark(bptype),
is_antiquark(aptype), swap_q_qx, 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 qqx tree-level current-current
* scattering With W+Jets
*
* @param aptype Particle a PDG ID
* @param bptype Particle b PDG ID
* @param pa Initial state a Momentum
* @param pb Initial state b Momentum
* @param pq Final state q Momentum
* @param pqbar Final state qbar Momentum
* @param pn Final state n Momentum
* @param plbar Final state anti-lepton momentum
* @param pl Final state lepton momentum
* @param swap_q_qx Boolean. Ordering of qqbar pair. False: pqbar extremal.
* @param wc Boolean. True->W Emitted from b. Else; emitted from leg a
* @returns ME Squared for qqxb Tree-Level Current-Current Scattering
*
* @note calculate forwards qqx contribution by reversing argument ordering.
*/
double ME_W_qqx_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_q_qx, bool const wc,
ParticleProperties const & Wprop
){
using namespace currents;
// CAM factors for the qqx amps, and qqbar ordering (default, qbar extremal)
const double CFbackward = K_g( (swap_q_qx)?pq:pqbar ,pa)/C_F;
// 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 wqqx emission as there is no other possible W Emission
// Site.
if (swap_q_qx)
return ME_WExqqx_qqbarg(pa, pqbar, plbar, pl, pq, pn, pb, Wprop)*CFbackward;
return ME_WExqqx_qbarqg(pa, pq, plbar, pl, pqbar, pn, pb, Wprop)*CFbackward;
}
assert(aptype==pid::gluon && bptype!=pid::gluon );
//a gluon => W emission off b leg or qqx
if (!wc){ // W Emitted from backwards qqx
if (swap_q_qx)
return ME_WExqqx_qqbarQ(pa, pqbar, plbar, pl, pq, pn, pb, Wprop)*CFbackward;
return ME_WExqqx_qbarqQ(pa, pq, plbar, pl, pqbar, pn, pb, Wprop)*CFbackward;
}
// W Must be emitted from forwards leg.
- return ME_W_Exqqx_QQq(pb, pa, pn, pqbar, pq, plbar, pl, is_antiquark(bptype), Wprop)*CFbackward;
+ return ME_W_Exqqx_QQq(pb, pa, pn, pq, pqbar, plbar, pl, is_antiquark(bptype), Wprop);
}
/* \brief Matrix element squared for central qqx tree-level current-current
* scattering With W+Jets
*
* @param aptype Particle a PDG ID
* @param bptype Particle b PDG ID
* @param nabove Number of gluons emitted before central qqxpair
* @param nbelow Number of gluons emitted after central qqxpair
* @param pa Initial state a Momentum
* @param pb Initial state b Momentum\
* @param pq Final state qbar Momentum
* @param pqbar Final state q Momentum
* @param partons Vector of all outgoing partons
* @param plbar Final state anti-lepton momentum
* @param pl Final state lepton momentum
* @param wqq Boolean. True siginfies W boson is emitted from Central qqx
* @param wc Boolean. wc=true signifies w boson emitted from leg b; if wqq=false.
* @returns ME Squared for qqxmid Tree-Level Current-Current Scattering
*/
double ME_W_qqxmid_current(
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 qqx amps, and qqbar ordering (default, pq backwards)
const bool swap_q_qx=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_WCenqqx_qq(pa, pb, pl, plbar, partons,
is_antiquark(aptype),is_antiquark(bptype),
swap_q_qx, nabove, Wprop);
return wt*ME_W_Cenqqx_qq(pa, pb, pl, plbar, partons,
is_antiquark(aptype), is_antiquark(bptype),
swap_q_qx, 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);
}
CLHEP::HepLorentzVector to_HepLorentzVector(Particle const & particle){
return {particle.p.px(), particle.p.py(), particle.p.pz(), particle.p.E()};
}
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(! is_resummable(ev.type())) 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();
assert(jets.size() >= 2);
auto most_backward = begin(jets);
auto most_forward = end(jets) - 1;
// skip jets caused by unordered emission or qqx
if(ev.type() == event_type::unob || ev.type() == event_type::qqxexb){
assert(jets.size() >= 3);
++most_backward;
}
else if(ev.type() == event_type::unof || ev.type() == event_type::qqxexf){
assert(jets.size() >= 3);
--most_forward;
}
const auto extremal_jet_indices = ev.particle_jet_indices(
{*most_backward, *most_forward}
);
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_qqxmid(
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 qqx
auto qqxt = 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){
qqxt -= 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_qqxmid_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,
qqxt, pa, pb, p1, pn,
lambda
);
return current_factor*ladder_factor;
}
template<class InIter, class partIter>
double tree_kin_jets_qqx(InIter BeginIn, InIter EndIn, partIter BeginPart,
partIter EndPart, double lambda){
const bool swap_q_qx = is_quark(*BeginPart);
const auto pgin = to_HepLorentzVector(*BeginIn);
const auto pb = to_HepLorentzVector(*(EndIn-1));
const auto pq = to_HepLorentzVector(*(BeginPart+(swap_q_qx?0:1)));
const auto pqbar = to_HepLorentzVector(*(BeginPart+(swap_q_qx?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_qqx_current(
(EndIn-1)->type, pgin, pq, pqbar, pn, pb, swap_q_qx
)/(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
)/(4.*(N_C*N_C - 1.));
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_qqxb){
return tree_kin_jets_qqx(incoming.begin(), incoming.end(),
partons.begin(), partons.end(),
param_.regulator_lambda);
}
if (ev.type()==event_type::extremal_qqxf){
return tree_kin_jets_qqx(incoming.rbegin(), incoming.rend(),
partons.rbegin(), partons.rend(),
param_.regulator_lambda);
}
if (ev.type()==event_type::central_qqx){
return tree_kin_jets_qqxmid(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*C_A*C_A/(N_C*N_C-1.)*ladder_factor;
}
template<class InIter, class partIter>
double tree_kin_W_qqx(InIter BeginIn, partIter BeginPart,
partIter EndPart,
const CLHEP::HepLorentzVector & plbar,
const CLHEP::HepLorentzVector & pl,
double lambda, ParticleProperties const & Wprop
){
const bool swap_q_qx=is_quark(*BeginPart);
const auto pa = to_HepLorentzVector(*BeginIn);
const auto pb = to_HepLorentzVector(*(BeginIn+1));
const auto pq = to_HepLorentzVector(*(BeginPart+(swap_q_qx?0:1)));
const auto pqbar = to_HepLorentzVector(*(BeginPart+(swap_q_qx?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_qqx_current(
(BeginIn)->type, (BeginIn+1)->type, pa, pb,
pq, pqbar, pn, plbar, pl, swap_q_qx, wc, Wprop
);
const double ladder_factor = FKL_ladder_weight(
BeginPart+2, EndPart-1,
q0, pa, pb, p1, pn,
lambda
);
return current_factor*C_A*C_A/(N_C*N_C-1.)*ladder_factor;
}
double tree_kin_W_qqxmid(
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 qqx
auto qqxt = q0;
bool wqq = backmidquark->type != -(backmidquark+1)->type; // qqx emit W
bool wc = !wqq && (aptype==partons.front().type); //leg b emits w
assert(!wqq || !wc);
if(wqq){ // emission from qqx
qqxt -= pl + plbar;
} else if(!wc) { // emission from leg a
q0 -= pl + plbar;
qqxt -= 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){
qqxt -= 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_qqxmid_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,
qqxt, 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_qqxb){
return tree_kin_W_qqx(cbegin(incoming), cbegin(partons),
cend(partons), plbar, pl,
param_.regulator_lambda,
param_.ew_parameters.Wprop());
}
if(ev.type() == extremal_qqxf){
return tree_kin_W_qqx(crbegin(incoming), crbegin(partons),
crend(partons), plbar, pl,
param_.regulator_lambda,
param_.ew_parameters.Wprop());
}
assert(ev.type() == central_qqx);
return tree_kin_W_qqxmid(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
#ifdef HEJ_BUILD_WITH_QCDLOOP
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;
}
#endif
// Colour factor in strict MRK limit
double K_MRK(ParticleID type) {
return (type == pid::gluon)?C_A:C_F;
}
} // namespace
double MatrixElement::MH2_forwardH(
CLHEP::HepLorentzVector const & p1out,
CLHEP::HepLorentzVector const & p1in,
ParticleID type2,
CLHEP::HepLorentzVector const & p2out,
CLHEP::HepLorentzVector const & p2in,
CLHEP::HepLorentzVector const & pH,
double t1, double t2
) const{
using namespace currents;
ignore(p2out, p2in);
const double shat = p1in.invariantMass2(p2in);
const double vev = param_.ew_parameters.vev();
// gluon case
#ifdef HEJ_BUILD_WITH_QCDLOOP
if(!param_.Higgs_coupling.use_impact_factors){
return K(type2, p2out, p2in)*C_A*1./(16*M_PI*M_PI)*t1/t2*ME_Houtside_gq(
p1out, p1in, p2out, p2in, pH,
param_.Higgs_coupling.mt, param_.Higgs_coupling.include_bottom,
param_.Higgs_coupling.mb, vev
)/(4*(N_C*N_C - 1));
}
#endif
return K_MRK(type2)/C_A*9./2.*shat*shat*(
C2gHgp(p1in,p1out,pH,vev) + C2gHgm(p1in,p1out,pH,vev)
)/(t1*t2);
}
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(outgoing[1].type != pid::gluon) {
assert(incoming.front().type == outgoing[1].type);
return tree_kin_Higgs_between(ev);
}
const auto pH = to_HepLorentzVector(outgoing.front());
const auto partons = tag_extremal_jet_partons(
ev
);
const auto pa = to_HepLorentzVector(incoming[0]);
const auto pb = to_HepLorentzVector(incoming[1]);
const auto p1 = to_HepLorentzVector(partons.front());
const auto pn = to_HepLorentzVector(partons.back());
const auto q0 = pa - p1 - pH;
const double t1 = q0.m2();
const double t2 = (pn - pb).m2();
return MH2_forwardH(
p1, pa, incoming[1].type, pn, pb, pH,
t1, t2
)*FKL_ladder_weight(
begin(partons) + 1, end(partons) - 1,
q0, pa, pb, p1, pn,
param_.regulator_lambda
);
}
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(outgoing[outgoing.size()-2].type != pid::gluon) {
assert(incoming.back().type == outgoing[outgoing.size()-2].type);
return tree_kin_Higgs_between(ev);
}
const auto pH = to_HepLorentzVector(outgoing.back());
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.front());
const auto pn = to_HepLorentzVector(partons.back());
auto q0 = pa - p1;
const double t1 = q0.m2();
const double t2 = (pn + pH - pb).m2();
return MH2_forwardH(
pn, pb, incoming[0].type, p1, pa, pH,
t2, t1
)*FKL_ladder_weight(
begin(partons) + 1, end(partons) - 1,
q0, pa, pb, p1, pn,
param_.regulator_lambda
);
}
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
diff --git a/src/Wjets.cc b/src/Wjets.cc
index 63bc609..cc17a16 100644
--- a/src/Wjets.cc
+++ b/src/Wjets.cc
@@ -1,800 +1,799 @@
/**
* \authors The HEJ collaboration (see AUTHORS for details)
* \date 2020
* \copyright GPLv2 or later
*/
#include "HEJ/Wjets.hh"
#include <algorithm>
#include <array>
#include <cassert>
#include <cmath>
#include <iostream>
#include "HEJ/Constants.hh"
#include "HEJ/EWConstants.hh"
#include "HEJ/LorentzVector.hh"
#include "HEJ/exceptions.hh"
#include "HEJ/jets.hh"
// generated headers
#include "HEJ/currents/jV_j.hh"
#include "HEJ/currents/jV_juno.hh"
#include "HEJ/currents/jVuno_j.hh"
#include "HEJ/currents/jW_jqqbar.hh"
#include "HEJ/currents/jW_qqbar_j.hh"
#include "HEJ/currents/jWqqbar_j.hh"
#include "HEJ/currents/j_Wqqbar_j.hh"
namespace HEJ {
namespace currents {
namespace {
// short hands
using std::conj;
// --- Helper Functions ---
// FKL W Helper Functions
double WProp(const HLV & plbar, const HLV & pl,
ParticleProperties const & wprop
){
COM propW = COM(0.,-1.)/( (pl+plbar).m2() - wprop.mass*wprop.mass
+ COM(0.,1.)*wprop.mass*wprop.width);
double PropFactor=(propW*conj(propW)).real();
return PropFactor;
}
/**
* @brief Contraction of W + unordered jet current with FKL current
*
* See eq:wunocurrent in the developer manual for the definition
* of the W + unordered jet current
*/
template<Helicity h1, Helicity h2, Helicity pol>
double jM2Wuno(
HLV const & pg, HLV const & p1, HLV const & plbar, HLV const & pl,
HLV const & pa, HLV const & p2, HLV const & pb,
ParticleProperties const & wprop
){
using helicity::minus;
const COM u1 = U1<h1, minus, h2, pol>(p1, p2, pa, pb, pg, pl, plbar);
const COM u2 = U2<h1, minus, h2, pol>(p1, p2, pa, pb, pg, pl, plbar);
const COM l = L<h1, minus, h2, pol>(p1, p2, pa, pb, pg, pl, plbar);
const COM x = u1 - l;
const COM y = u2 + l;
double amp = C_A*C_F*C_F/2.*(norm(x)+norm(y)) - C_F/2.*(x*conj(y)).real();
amp *= WProp(plbar, pl, wprop);
const HLV q1g = pa-pl-plbar-p1-pg;
const HLV q2 = p2-pb;
const double t1 = q1g.m2();
const double t2 = q2.m2();
amp /= (t1*t2);
return amp;
}
/**
* @brief Contraction of W + extremal qqbar current with FKL current
*
* See eq:crossed in the developer manual for the definition
* of the W + extremal qqbar current.
*
*/
template<Helicity h1, Helicity h2, Helicity hg>
double jM2_W_extremal_qqbar(
HLV const & pg, HLV const & pq, HLV const & plbar, HLV const & pl,
HLV const & pqbar, HLV const & p3, HLV const & pb,
ParticleProperties const & wprop
){
const COM u1Xcontr = U1X<h1, h2, hg>(pg, pq, plbar, pl, pqbar, p3, pb);
const COM u2Xcontr = U2X<h1, h2, hg>(pg, pq, plbar, pl, pqbar, p3, pb);
const COM lXcontr = LX<h1, h2, hg>(pg, pq, plbar, pl, pqbar, p3, pb);
const COM x = u1Xcontr - lXcontr;
const COM y = u2Xcontr + lXcontr;
double amp = C_A*C_F*C_F/2.*(norm(x)+norm(y)) - C_F/2.*(x*conj(y)).real();
amp *= WProp(plbar, pl, wprop);
const HLV q1 = pg-pl-plbar-pq-pqbar;
const HLV q2 = p3-pb;
const double t1 = q1.m2();
const double t2 = q2.m2();
amp /= (t1*t2);
return amp;
}
//! W+Jets FKL Contributions
/**
* @brief W+Jets FKL Contributions, function to handle all incoming types.
* @param p1out Outgoing Particle 1. (W emission)
* @param plbar Outgoing election momenta
* @param pl Outgoing neutrino momenta
* @param p1in Incoming Particle 1. (W emission)
* @param p2out Outgoing Particle 2
* @param p2in Incoming Particle 2
* @param aqlineb Bool. Is Backwards quark line an anti-quark line?
* @param aqlinef Bool. Is Forwards quark line an anti-quark line?
*
* Calculates j_W ^\mu j_\mu.
* Handles all possible incoming states.
*/
double jW_j(HLV const & p1out, HLV plbar, HLV pl,
HLV const & p1in, HLV const & p2out, HLV const & p2in,
bool aqlineb, bool /* aqlinef */,
ParticleProperties const & wprop
){
using helicity::minus;
using helicity::plus;
const HLV q1=p1in-p1out-plbar-pl;
const HLV q2=-(p2in-p2out);
const double wPropfact = WProp(plbar, pl, wprop);
// we assume that the W is emitted off a quark line
// if this is not the case, we have to apply CP conjugation,
// which is equivalent to swapping lepton and antilepton momenta
if(aqlineb) std::swap(pl, plbar);
const COM ampm = jV_j<minus, minus, minus>(p1in,p1out,p2in,p2out,pl,plbar);
const COM ampp = jV_j<minus, minus, plus>(p1in,p1out,p2in,p2out,pl,plbar);
const double Msqr = std::norm(ampm) + std::norm(ampp);
// Division by colour and Helicity average (Nc2-1)(4)
// Multiply by Cf^2
return C_F*C_F*wPropfact*Msqr/(q1.m2()*q2.m2()*(N_C*N_C - 1)*4);
}
} // Anonymous Namespace
double ME_W_qQ(
HLV const & p1out,
HLV const & plbar, HLV const & pl,
HLV const & p1in,
HLV const & p2out, HLV const & p2in,
ParticleProperties const & wprop
){
return jW_j(p1out, plbar, pl, p1in, p2out, p2in, false, false, wprop);
}
double ME_W_qQbar(
HLV const & p1out,
HLV const & plbar, HLV const & pl,
HLV const & p1in,
HLV const & p2out, HLV const & p2in,
ParticleProperties const & wprop
){
return jW_j(p1out, plbar, pl, p1in, p2out, p2in, false, true, wprop);
}
double ME_W_qbarQ(
HLV const & p1out,
HLV const & plbar, HLV const & pl,
HLV const & p1in,
HLV const & p2out, HLV const & p2in,
ParticleProperties const & wprop
){
return jW_j(p1out, plbar, pl, p1in, p2out, p2in, true, false, wprop);
}
double ME_W_qbarQbar(
HLV const & p1out,
HLV const & plbar, HLV const & pl,
HLV const & p1in,
HLV const & p2out, HLV const & p2in,
ParticleProperties const & wprop
){
return jW_j(p1out, plbar, pl, p1in, p2out, p2in, true, true, wprop);
}
double ME_W_qg(
HLV const & p1out,
HLV const & plbar, HLV const & pl,
HLV const & p1in,
HLV const & p2out, HLV const & p2in,
ParticleProperties const & wprop
){
return jW_j(p1out, plbar, pl, p1in, p2out, p2in, false, false, wprop)
*K_g(p2out, p2in)/C_F;
}
double ME_W_qbarg(
HLV const & p1out,
HLV const & plbar, HLV const & pl,
HLV const & p1in,
HLV const & p2out, HLV const & p2in,
ParticleProperties const & wprop
){
return jW_j(p1out, plbar, pl, p1in, p2out, p2in, true, false, wprop)
*K_g(p2out, p2in)/C_F;
}
namespace {
// helicity amplitude squares for contraction of W current with unordered
// current
template<Helicity h2, Helicity hg>
double ampsq_jW_juno(
HLV const & pa, HLV const & p1,
HLV const & pb, HLV const & p2,
HLV const & pg,
HLV const & pl, HLV const & plbar
){
using helicity::minus;
const COM u1 = U1_jV<minus, minus, h2, hg>(pa,p1,pb,p2,pg,pl,plbar);
const COM u2 = U2_jV<minus, minus, h2, hg>(pa,p1,pb,p2,pg,pl,plbar);
const COM l = L_jV<minus, minus, h2, hg>(pa,p1,pb,p2,pg,pl,plbar);
return 2.*C_F*std::real((l-u1)*std::conj(l+u2))
+ 2.*C_F*C_F/3.*std::norm(u1+u2)
;
}
/**
* @brief W+Jets Unordered Contributions, function to handle all incoming types.
* @param p1out Outgoing Particle 1. (W emission)
* @param plbar Outgoing election momenta
* @param pl Outgoing neutrino momenta
* @param p1in Incoming Particle 1. (W emission)
* @param p2out Outgoing Particle 2 (Quark, unordered emission this side.)
* @param p2in Incoming Particle 2 (Quark, unordered emission this side.)
* @param pg Unordered Gluon momenta
* @param aqlineb Bool. Is Backwards quark line an anti-quark line?
* @param aqlinef Bool. Is Forwards quark line an anti-quark line?
*
* Calculates j_W ^\mu j_{uno}_\mu. Ie, unordered with W emission
* opposite side. Handles all possible incoming states.
*
* @TODO use const & for pl plbar
*/
double jW_juno(
HLV const & p1out, HLV plbar, HLV pl, HLV const & p1in,
HLV const & p2out, HLV const & p2in, HLV const & pg, bool aqlineb,
bool /* aqlinef */,
ParticleProperties const & wprop
){
using helicity::minus;
using helicity::plus;
// we assume that the W is emitted off a quark line
// if this is not the case, we have to apply CP conjugation,
// which is equivalent to swapping lepton and antilepton momenta
if(aqlineb) std::swap(pl, plbar);
// helicity assignments assume aqlinef == false
// in the end, this is irrelevant since we sum over all helicities
const double ampsq =
+ ampsq_jW_juno<minus, minus>(p1in,p1out,p2in,p2out,pg,pl,plbar)
+ ampsq_jW_juno<minus, plus>(p1in,p1out,p2in,p2out,pg,pl,plbar)
+ ampsq_jW_juno<plus, minus>(p1in,p1out,p2in,p2out,pg,pl,plbar)
+ ampsq_jW_juno<plus, plus>(p1in,p1out,p2in,p2out,pg,pl,plbar)
;
const HLV q1=p1in-p1out-plbar-pl;
const HLV q2=-(p2in-p2out-pg);
//! @TODO explain magic 16
return WProp(plbar, pl, wprop)*ampsq/(16.*q2.m2()*q1.m2());
}
} // Anonymous Namespace
double ME_W_unob_qQ(
HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in,
HLV const & pg, HLV const & plbar, HLV const & pl, ParticleProperties
const & wprop
){
return jW_juno(p2out, plbar, pl, p2in, p1out, p1in, pg, false, false, wprop);
}
double ME_W_unob_qQbar(
HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in,
HLV const & pg, HLV const & plbar, HLV const & pl,
ParticleProperties const & wprop
){
return jW_juno(p2out, plbar, pl, p2in, p1out, p1in, pg, false, true, wprop);
}
double ME_W_unob_qbarQ(
HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in,
HLV const & pg, HLV const & plbar, HLV const & pl,
ParticleProperties const & wprop
){
return jW_juno(p2out, plbar, pl, p2in, p1out, p1in, pg, true, false, wprop);
}
double ME_W_unob_qbarQbar(
HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in,
HLV const & pg, HLV const & plbar, HLV const & pl,
ParticleProperties const & wprop
){
return jW_juno(p2out, plbar, pl, p2in, p1out, p1in, pg, true, true, wprop);
}
namespace {
// helicity sum helper for jWuno_j(...)
template<Helicity h1>
double jWuno_j_helsum(
HLV const & pg, HLV const & p1, HLV const & plbar, HLV const & pl,
HLV const & pa, HLV const & p2, HLV const & pb,
ParticleProperties const & wprop
){
using helicity::minus;
using helicity::plus;
const double ME2h1pp = jM2Wuno<h1, plus, plus>(
pg, p1, plbar, pl, pa, p2, pb, wprop
);
const double ME2h1pm = jM2Wuno<h1, plus, minus>(
pg, p1, plbar, pl, pa, p2, pb, wprop
);
const double ME2h1mp = jM2Wuno<h1, minus, plus>(
pg, p1, plbar, pl, pa, p2, pb, wprop
);
const double ME2h1mm = jM2Wuno<h1, minus, minus>(
pg, p1, plbar, pl, pa, p2, pb, wprop
);
return ME2h1pp + ME2h1pm + ME2h1mp + ME2h1mm;
}
/**
* @brief W+Jets Unordered Contributions, function to handle all incoming
* @types.
* @param pg Unordered Gluon momenta
* @param p1out Outgoing Particle 1. (Quark - W and Uno emission)
* @param plbar Outgoing election momenta
* @param pl Outgoing neutrino momenta
* @param p1in Incoming Particle 1. (Quark - W and Uno emission)
* @param p2out Outgoing Particle 2
* @param p2in Incoming Particle 2
* @param aqlineb Bool. Is Backwards quark line an anti-quark line?
*
* Calculates j_W_{uno} ^\mu j_\mu. Ie, unordered with W emission same
* side. Handles all possible incoming states. Note this handles both forward
* and back- -ward Wuno emission. For forward, ensure p1out is the uno and W
* emission parton.
* @TODO: Include separate wrapper functions for forward and backward to clean
up * ME_W_unof_current in `MatrixElement.cc`.
*/
double jWuno_j(
HLV const & pg, HLV const & p1out, HLV const & plbar, HLV const & pl,
HLV const & p1in, HLV const & p2out, HLV const & p2in, bool aqlineb,
ParticleProperties const & wprop
){
const auto helsum = aqlineb?
jWuno_j_helsum<helicity::plus>:
jWuno_j_helsum<helicity::minus>;
//Helicity sum and average over initial states
return helsum(pg, p1out,plbar,pl,p1in,p2out,p2in, wprop)/(4.*C_A*C_A);
}
} // Anonymous Namespace
double ME_Wuno_qQ(
HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in,
HLV const & pg, HLV const & plbar, HLV const & pl,
ParticleProperties const & wprop
){
return jWuno_j(pg, p1out, plbar, pl, p1in, p2out, p2in, false, wprop);
}
double ME_Wuno_qQbar(
HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in,
HLV const & pg, HLV const & plbar, HLV const & pl,
ParticleProperties const & wprop
){
return jWuno_j(pg, p1out, plbar, pl, p1in, p2out, p2in, false, wprop);
}
double ME_Wuno_qbarQ(
HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in,
HLV const & pg, HLV const & plbar, HLV const & pl,
ParticleProperties const & wprop
){
return jWuno_j(pg, p1out, plbar, pl, p1in, p2out, p2in, true, wprop);
}
double ME_Wuno_qbarQbar(
HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in,
HLV const & pg, HLV const & plbar, HLV const & pl,
ParticleProperties const & wprop
){
return jWuno_j(pg, p1out, plbar, pl, p1in, p2out, p2in, true, wprop);
}
double ME_Wuno_qg(
HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in,
HLV const & pg, HLV const & plbar, HLV const & pl,
ParticleProperties const & wprop
){
return jWuno_j(pg, p1out, plbar, pl, p1in, p2out, p2in, false, wprop)
*K_g(p2out, p2in)/C_F;
}
double ME_Wuno_qbarg(
HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in,
HLV const & pg, HLV const & plbar, HLV const & pl,
ParticleProperties const & wprop
){
return jWuno_j(pg, p1out, plbar, pl, p1in, p2out, p2in, true, wprop)
*K_g(p2out, p2in)/C_F;
}
// helicity sum helper for jWqqx_j(...)
template<Helicity h1>
double jWqqx_j_helsum(
HLV const & pg, HLV const & pq, HLV const & plbar, HLV const & pl,
HLV const & pqbar, HLV const & p3, HLV const & pb,
ParticleProperties const & wprop
){
using helicity::minus;
using helicity::plus;
const double amp_h1pp = jM2_W_extremal_qqbar<h1, plus, plus>(
pg, pq, plbar, pl, pqbar, p3, pb, wprop
);
const double amp_h1pm = jM2_W_extremal_qqbar<h1, plus, minus>(
pg, pq, plbar, pl, pqbar, p3, pb, wprop
);
const double amp_h1mp = jM2_W_extremal_qqbar<h1, minus, plus>(
pg, pq, plbar, pl, pqbar, p3, pb, wprop
);
const double amp_h1mm = jM2_W_extremal_qqbar<h1, minus, minus>(
pg, pq, plbar, pl, pqbar, p3, pb, wprop
);
return amp_h1pp + amp_h1pm + amp_h1mp + amp_h1mm;
}
/**
* @brief W+Jets Extremal qqx Contributions, function to handle all incoming
* @types.
* @param pgin Incoming gluon which will split into qqx.
* @param pqout Quark of extremal qqx outgoing (W-Emission).
* @param plbar Outgoing anti-lepton momenta
* @param pl Outgoing lepton momenta
* @param pqbarout Anti-quark of extremal qqx pair. (W-Emission)
* @param pout Outgoing Particle 2 (end of FKL chain)
* @param p2in Incoming Particle 2
* @param aqlinef Bool. Is Forwards quark line an anti-quark line?
*
* Calculates j_W_{qqx} ^\mu j_\mu. Ie, Ex-QQX with W emission same side.
* Handles all possible incoming states. Calculated via crossing symmetry from
* jWuno_j.
*/
double jWqqx_j(
HLV const & pgin, HLV const & pqout, HLV const & plbar, HLV const & pl,
HLV const & pqbarout, HLV const & p2out, HLV const & p2in, bool aqlinef,
ParticleProperties const & wprop
){
const auto helsum = aqlinef?
jWqqx_j_helsum<helicity::plus>:
jWqqx_j_helsum<helicity::minus>;
//Helicity sum and average over initial states.
double ME2 = helsum(pgin, pqout, plbar, pl, pqbarout, p2out, p2in, wprop)/
(4.*C_A*C_A);
//Correct colour averaging after crossing:
ME2*=(3.0/8.0);
return ME2;
}
double ME_WExqqx_qbarqQ(
HLV const & pgin, HLV const & pqout, HLV const & plbar, HLV const & pl,
HLV const & pqbarout, HLV const & p2out, HLV const & p2in,
ParticleProperties const & wprop
){
return jWqqx_j(pgin, pqout, plbar, pl, pqbarout, p2out, p2in, false, wprop);
}
double ME_WExqqx_qqbarQ(
HLV const & pgin, HLV const & pqbarout, HLV const & plbar, HLV const & pl,
HLV const & pqout, HLV const & p2out, HLV const & p2in,
ParticleProperties const & wprop
){
return jWqqx_j(pgin, pqbarout, plbar, pl, pqout, p2out, p2in, true, wprop);
}
double ME_WExqqx_qbarqg(
HLV const & pgin, HLV const & pqout, HLV const & plbar, HLV const & pl,
HLV const & pqbarout, HLV const & p2out, HLV const & p2in,
ParticleProperties const & wprop
){
return jWqqx_j(pgin, pqout, plbar, pl, pqbarout, p2out, p2in, false, wprop)
*K_g(p2out,p2in)/C_F;
}
double ME_WExqqx_qqbarg(
HLV const & pgin, HLV const & pqbarout, HLV const & plbar, HLV const & pl,
HLV const & pqout, HLV const & p2out, HLV const & p2in,
ParticleProperties const & wprop
){
return jWqqx_j(pgin, pqbarout, plbar, pl, pqout, p2out, p2in, true, wprop)
*K_g(p2out,p2in)/C_F;
}
namespace {
template<Helicity h1, Helicity hg>
double jW_jqqbar(
HLV const & pb,
HLV const & p2,
HLV const & p3,
HLV const & pa,
HLV const & p1,
HLV const & pl,
HLV const & plbar
){
using std::norm;
static constexpr double cm1m1 = 8./3.;
static constexpr double cm2m2 = 8./3.;
static constexpr double cm3m3 = 6.;
static constexpr double cm1m2 =-1./3.;
static constexpr COM cm1m3 = COM{0.,-3.};
static constexpr COM cm2m3 = COM{0.,3.};
const COM m1 = jW_qggm1<h1,hg>(pb,p2,p3,pa,p1,pl,plbar);
const COM m2 = jW_qggm2<h1,hg>(pb,p2,p3,pa,p1,pl,plbar);
const COM m3 = jW_qggm3<h1,hg>(pb,p2,p3,pa,p1,pl,plbar);
return
+ cm1m1*norm(m1)
+ cm2m2*norm(m2)
+ cm3m3*norm(m3)
+ 2.*real(cm1m2*m1*conj(m2))
+ 2.*real(cm1m3*m1*conj(m3))
+ 2.*real(cm2m3*m2*conj(m3)) ;
}
} // Anonymous Namespace
// contraction of W current with extremal qqbar on the other side
double ME_W_Exqqx_QQq(
HLV const & pa, HLV const & pb,
HLV const & p1, HLV const & p2,
HLV const & p3, HLV const & plbar, HLV const & pl, bool aqlinepa,
ParticleProperties const & wprop
){
using helicity::minus;
using helicity::plus;
const double wPropfact = WProp(plbar, pl, wprop);
- const double prefactor = 2.*wPropfact/24./4./(
- (pa-p1-pl-plbar).m2()*(p2+p3-pb).m2()
- );
+ const double prefactor = 2.*wPropfact
+ /(12*HEJ::C_A*HEJ::C_A*(pa-p1-pl-plbar).m2()*(p2+p3-pb).m2());
if(aqlinepa) {
return prefactor*(
jW_jqqbar<plus, minus>(pb,p2,p3,pa,p1,pl,plbar)
+ jW_jqqbar<plus, plus>(pb,p2,p3,pa,p1,pl,plbar)
);
}
return prefactor*(
jW_jqqbar<minus, minus>(pb,p2,p3,pa,p1,pl,plbar)
+ jW_jqqbar<minus, plus>(pb,p2,p3,pa,p1,pl,plbar)
);
}
namespace {
// helper function for matrix element for W + Jets with central qqbar
template<Helicity h1a, Helicity h4b>
double amp_WCenqqx_qq(
HLV const & pa, HLV const & p1,
HLV const & pb, HLV const & p4,
HLV const & pq, HLV const & pqbar,
HLV const & pl, HLV const & plbar,
HLV const & q11, HLV const & q12
){
using std::norm;
const COM sym = M_sym_W<h1a, h4b>(
pa, p1, pb, p4, pq, pqbar, pl, plbar, q11, q12
);
const COM cross = M_cross_W<h1a, h4b>(
pa, p1, pb, p4, pq, pqbar, pl, plbar, q11, q12
);
const COM uncross = M_uncross_W<h1a, h4b>(
pa, p1, pb, p4, pq, pqbar, pl, plbar, q11, q12
);
// Colour factors
static constexpr double cmsms = 3.;
static constexpr double cmumu = 4./3.;
static constexpr double cmcmc = 4./3.;
static constexpr COM cmsmu = COM{0., 3./2.};
static constexpr COM cmsmc = COM{0.,-3./2.};
static constexpr double cmumc = -1./6.;
return
+cmsms*norm(sym)
+cmumu*norm(uncross)
+cmcmc*norm(cross)
+2.*real(cmsmu*sym*conj(uncross))
+2.*real(cmsmc*sym*conj(cross))
+2.*real(cmumc*uncross*conj(cross))
;
}
} // Anonymous Namespace
// matrix element for W + Jets with W emission off central qqbar
double ME_WCenqqx_qq(
HLV const & pa, HLV const & pb, HLV const & pl, HLV const & plbar,
std::vector<HLV> const & partons, bool /* aqlinepa */, bool /* aqlinepb */, bool
qqxmarker, int nabove, ParticleProperties const & wprop
){
using helicity::plus;
using helicity::minus;
CLHEP::HepLorentzVector q1 = pa;
for(int i = 0; i <= nabove; ++i){
q1 -= partons[i];
}
const auto qq = split_into_lightlike(q1);
// since q1.m2() < 0 the following assertion is always true
// see documentation for split_into_lightlike
assert(qq.second.e() < 0);
HLV pq;
HLV pqbar;
if (qqxmarker){
pqbar = partons[nabove+1];
pq = partons[nabove+2];}
else{
pq = partons[nabove+1];
pqbar = partons[nabove+2];
}
const HLV p1 = partons.front();
const HLV p4 = partons.back();
// 4 Different Helicity Choices (Differs from Pure Jet Case, where there is
// also the choice in qqbar helicity.
// the first helicity label is for aqlinepa == true,
// the second one for aqlinepb == true
// In principle the corresponding helicity should be flipped
// if either of them is false, but we sum up all helicities,
// so this has no effect in the end.
const double amp_mm = amp_WCenqqx_qq<minus, minus>(
pa, p1, pb, p4, pq, pqbar, pl, plbar, qq.first, -qq.second
);
const double amp_mp = amp_WCenqqx_qq<minus, plus>(
pa, p1, pb, p4, pq, pqbar, pl, plbar, qq.first, -qq.second
);
const double amp_pm = amp_WCenqqx_qq<plus, minus>(
pa, p1, pb, p4, pq, pqbar, pl, plbar, qq.first, -qq.second
);
const double amp_pp = amp_WCenqqx_qq<plus, plus>(
pa, p1, pb, p4, pq, pqbar, pl, plbar, qq.first, -qq.second
);
const double t1 = q1.m2();
const double t3 = (q1-pl-plbar-pq-pqbar).m2();
const double amp = WProp(plbar, pl, wprop)*(
amp_mm+amp_mp+amp_pm+amp_pp
)/(9.*4.*t1*t1*t3*t3);
return amp;
}
// helper function for matrix element for W + Jets with central qqbar
// W emitted off extremal parton
// @TODO: code duplication with amp_WCenqqx_qq
template<Helicity h1a, Helicity hqqbar>
double amp_W_Cenqqx_qq(
HLV const & pa, HLV const & p1,
HLV const & pb, HLV const & pn,
HLV const & pq, HLV const & pqbar,
HLV const & pl, HLV const & plbar,
HLV const & q11, HLV const & q12
){
using std::norm;
const COM crossed = M_cross<h1a, hqqbar>(
pa, p1, pb, pn, pq, pqbar, pl, plbar, q11, q12
);
const COM uncrossed = M_qbar<h1a, hqqbar>(
pa, p1, pb, pn, pq, pqbar, pl, plbar, q11, q12
);
const COM sym = M_sym<h1a, hqqbar>(
pa, p1, pb, pn, pq, pqbar, pl, plbar, q11, q12
);
//Colour factors:
static constexpr double cmsms = 3.;
static constexpr double cmumu = 4./3.;
static constexpr double cmcmc = 4./3.;
static constexpr COM cmsmu = COM{0.,3./2.};
static constexpr COM cmsmc = COM{0.,-3./2.};
static constexpr double cmumc = -1./6.;
return
+cmsms*norm(sym)
+cmumu*norm(uncrossed)
+cmcmc*norm(crossed)
+2.*real(cmsmu*sym*conj(uncrossed))
+2.*real(cmsmc*sym*conj(crossed))
+2.*real(cmumc*uncrossed*conj(crossed))
;
}
// matrix element for W + Jets with W emission *not* off central qqbar
double ME_W_Cenqqx_qq(
HLV pa, HLV pb, HLV pl,HLV plbar,
std::vector<HLV> partons, bool aqlinepa, bool aqlinepb,
bool qqxmarker, int nabove, int nbelow, bool forwards,
ParticleProperties const & wprop
){
using helicity::minus;
using helicity::plus;
if (!forwards){ //If Emission from Leg a instead, flip process.
std::swap(pa, pb);
std::reverse(partons.begin(),partons.end());
std::swap(aqlinepa, aqlinepb);
qqxmarker = !qqxmarker;
std::swap(nabove,nbelow);
}
HLV q1=pa;
for(int i=0;i<nabove+1;++i){
q1-=partons.at(i);
}
const auto qq = split_into_lightlike(q1);
HLV pq;
HLV pqbar;
if (qqxmarker){
pqbar = partons[nabove+1];
pq = partons[nabove+2];}
else{
pq = partons[nabove+1];
pqbar = partons[nabove+2];}
// we assume that the W is emitted off a quark line
// if this is not the case, we have to apply CP conjugation,
// which is equivalent to swapping lepton and antilepton momenta
if(aqlinepb) std::swap(pl, plbar);
const HLV p1 = partons.front();
const HLV pn = partons.back();
// helicity labels are for aqlinepa == aqlineb == false,
// In principle the helicities should be flipped
// if either of them is true, but we sum up all helicities,
// so this has no effect in the end.
const double amp_mm = amp_W_Cenqqx_qq<minus, minus>(
pa, p1, pb, pn, pq, pqbar, pl, plbar, qq.first, -qq.second
);
const double amp_mp = amp_W_Cenqqx_qq<minus, plus>(
pa, p1, pb, pn, pq, pqbar, pl, plbar, qq.first, -qq.second
);
const double amp_pm = amp_W_Cenqqx_qq<plus, minus>(
pa, p1, pb, pn, pq, pqbar, pl, plbar, qq.first, -qq.second
);
const double amp_pp = amp_W_Cenqqx_qq<plus, plus>(
pa, p1, pb, pn, pq, pqbar, pl, plbar, qq.first, -qq.second
);
const double t1 = q1.m2();
const double t3 = (q1 - pq - pqbar).m2();
const double amp= WProp(plbar, pl, wprop)*(
amp_mm+amp_mp+amp_pm+amp_pp
)/(9.*4.*t1*t1*t3*t3);
return amp;
}
} // namespace currents
} // namespace HEJ
diff --git a/t/ME_data/ME_Wm.dat b/t/ME_data/ME_Wm.dat
index 446a53b..f03d623 100644
--- a/t/ME_data/ME_Wm.dat
+++ b/t/ME_data/ME_Wm.dat
@@ -1,5600 +1,5600 @@
3.262240999e-18
1.385254643e-18
1.662284407e-19
6.402076488e-18
6.703706894e-13
1.036486771e-14
1.156130080e-14
6.553154673e-15
1.280298630e-13
2.399330008e-18
2.510943411e-16
1.598936120e-16
1.350633191e-14
1.549677097e-11
6.475764347e-13
2.674048286e-11
8.911357947e-17
1.885547272e-16
2.846245875e-15
1.221476889e-17
2.073195633e-13
4.943239670e-18
5.669849867e-17
2.179869669e-15
1.848436054e-15
4.341187588e-19
9.375487143e-18
8.971771805e-19
2.684101804e-18
2.924496985e-19
5.648156275e-17
1.697188575e-08
1.120379413e-13
1.765625100e-08
6.405799452e-19
1.574141292e-13
2.895772048e-12
5.500410592e-13
7.156542704e-14
2.840888653e-12
2.296258191e-15
5.059417563e-17
9.624770216e-12
1.236697810e-13
6.930297208e-10
1.983134537e-18
1.137711740e-17
1.713029104e-17
9.889468197e-20
5.096504720e-15
4.537479137e-15
4.537479137e-15
4.537479137e-15
3.660247614e-15
3.114093639e-16
2.962503794e-17
6.176830035e-15
7.198261915e-18
1.112951437e-15
7.400330081e-17
7.045932791e-19
6.193005413e-18
9.216520986e-18
1.500124569e-17
3.680627027e-17
5.392056428e-18
1.654771976e-13
5.848006915e-11
4.174709873e-11
2.291508605e-13
1.294196762e-13
1.984011264e-12
1.294196762e-13
2.462404178e-15
6.764806708e-15
2.421651890e-15
2.865840898e-14
1.882420443e-14
5.080769127e-17
1.139797759e-13
1.042662538e-09
1.577695755e-20
2.004014991e-23
4.088029228e-26
1.101704853e-19
1.506632176e-18
2.352005269e-17
6.422390202e-16
6.694416106e-15
6.983995929e-15
2.891495001e-15
8.718924301e-16
1.831011709e-17
1.184194338e-14
1.184194338e-14
2.029727095e-13
6.316960792e-15
1.431583296e-13
7.079147112e-14
4.584538428e-18
4.584538428e-18
2.394547227e-18
4.584538428e-18
1.404978289e-16
1.404978289e-16
1.404978289e-16
1.404978289e-16
5.040482850e-14
1.219010845e-12
2.411854682e-13
1.441860879e-14
4.891068797e-12
6.643674843e-12
1.659591581e-11
5.786514777e-13
1.225374908e-11
4.568296755e-13
1.520701831e-10
2.085295510e-12
7.241121401e-14
6.553612205e-13
1.975922998e-15
1.072415121e-13
2.369301024e-15
3.693367618e-16
3.693367618e-16
1.191422724e-16
4.588865255e-18
3.740653710e-17
1.942493946e-16
1.597188304e-18
3.287757407e-17
9.261633883e-16
1.331142546e-15
4.448764489e-13
8.384915524e-16
2.704629600e-14
5.821394633e-15
2.975514715e-16
6.868886539e-18
2.055828302e-16
1.122938412e-14
9.746648548e-15
8.157071548e-16
9.603256465e-14
8.527403957e-14
1.717677569e-13
6.216345518e-11
5.393058013e-11
1.334064900e-12
4.181218629e-14
1.163824307e-12
2.365723145e-14
4.032463173e-13
1.944422326e-16
1.656380802e-15
2.937065510e-15
9.076213199e-16
1.567016470e-21
3.535165912e-23
9.937041356e-15
2.283019965e-10
7.805404528e-08
1.464367483e-12
6.716746047e-15
2.620505400e-11
8.511807677e-11
5.441583818e-13
4.025259010e-14
9.304495174e-12
8.593034013e-16
2.485036163e-13
8.235266133e-14
1.001015097e-12
6.542735730e-18
6.658065179e-17
6.658065179e-17
4.061780830e-17
1.470595339e-15
4.061780830e-17
4.061780830e-17
9.991344433e-17
1.556300116e-12
4.171527011e-12
5.198793401e-18
1.729291431e-15
6.058534187e-17
9.997809643e-18
2.992936801e-17
9.781724158e-16
6.552552201e-19
2.957456809e-21
2.816922504e-19
4.454412835e-22
8.167407699e-16
4.469944923e-15
6.015530256e-14
3.657815022e-14
1.292944886e-14
1.088672576e-19
1.180931579e-19
2.326129806e-13
1.058286850e-16
8.551630941e-14
2.052327705e-16
1.472138974e-14
4.289106433e-18
1.066586386e-18
1.201047775e-14
1.171546894e-14
1.270258694e-15
1.252449854e-18
4.636471718e-13
3.520731168e-17
9.265789743e-15
4.306529201e-10
8.037221537e-12
1.210848987e-13
3.192319573e-12
3.330553389e-13
6.717266617e-12
1.476258298e-11
6.404175752e-11
3.051653556e-16
4.272507480e-16
8.164063165e-16
3.169385530e-14
1.200084217e-14
1.045396831e-15
2.608672000e-17
3.548565144e-16
1.381202500e-17
2.798539294e-12
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diff --git a/t/ME_data/ME_Wp.dat b/t/ME_data/ME_Wp.dat
index 46dc4e6..4b0fbef 100644
--- a/t/ME_data/ME_Wp.dat
+++ b/t/ME_data/ME_Wp.dat
@@ -1,9517 +1,9517 @@
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