diff --git a/src/MatrixElement.cc b/src/MatrixElement.cc index cbfb5ab..dfa9400 100644 --- a/src/MatrixElement.cc +++ b/src/MatrixElement.cc @@ -1,1711 +1,1704 @@ /** * \authors The HEJ collaboration (see AUTHORS for details) * \date 2019 * \copyright GPLv2 or later */ #include "HEJ/MatrixElement.hh" #include <algorithm> #include <assert.h> #include <limits> #include <math.h> #include <stddef.h> #include <unordered_map> #include <utility> #include "CLHEP/Vector/LorentzVector.h" #include "HEJ/Constants.hh" #include "HEJ/Wjets.hh" #include "HEJ/Hjets.hh" #include "HEJ/jets.hh" #include "HEJ/PDG_codes.hh" #include "HEJ/event_types.hh" #include "HEJ/Event.hh" #include "HEJ/exceptions.hh" #include "HEJ/Particle.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*log(q_j.perp2()/(lambda*lambda)); if(! param_.log_correction) return result; return ( 1. + alpha_s/(4.*M_PI)*beta0*log(mur*mur/(q_j.perp()*lambda)) )*result; } Weights MatrixElement::operator()(Event const & event) const { return tree(event)*virtual_corrections(event); } Weights MatrixElement::tree(Event const & event) const { return tree_param(event)*tree_kin(event); } 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; } Weights MatrixElement::virtual_corrections(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 = virtual_corrections(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 = virtual_corrections(event, var.mur); result.variations.emplace_back(wt); known.emplace(var.mur, wt); } else { result.variations.emplace_back(ME_it->second); } } return result; } double MatrixElement::virtual_corrections_W( Event const & event, - double mur, + 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; size_t first_idx = 0; 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 (abs(partons[0].type) != 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 } } size_t first_idx_qqx = last_idx; 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(abs(backquark->type) != 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(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(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 exp(exponent); } double MatrixElement::virtual_corrections( Event const & event, - double mur + 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) && abs(AWZH_boson->type) == pid::Wp){ return virtual_corrections_W(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; size_t first_idx = 0; 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; } size_t first_idx_qqx = last_idx; 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(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(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 exp(exponent); } namespace { //! Lipatov vertex for partons emitted into extremal jets double C2Lipatov( CLHEP::HepLorentzVector const & qav, CLHEP::HepLorentzVector const & qbv, CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & p2 ){ - CLHEP::HepLorentzVector temptrans=-(qav+qbv); - CLHEP::HepLorentzVector p5=qav-qbv; - CLHEP::HepLorentzVector CL=temptrans + const CLHEP::HepLorentzVector temptrans=-(qav+qbv); + const CLHEP::HepLorentzVector p5=qav-qbv; + const CLHEP::HepLorentzVector CL=temptrans + p1*(qav.m2()/p5.dot(p1) + 2.*p5.dot(p2)/p1.dot(p2)) - p2*(qbv.m2()/p5.dot(p2) + 2.*p5.dot(p1)/p1.dot(p2)); 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, - double lambda + const double lambda ) { - double kperp=(qav-qbv).perp(); + const double Cls=(C2Lipatov(qav, qbv, p1, p2)/(qav.m2()*qbv.m2())); + + const double kperp=(qav-qbv).perp(); if (kperp>lambda) - return C2Lipatov(qav, qbv, p1, p2)/(qav.m2()*qbv.m2()); + return Cls; - double Cls=(C2Lipatov(qav, qbv, p1, p2)/(qav.m2()*qbv.m2())); return Cls-4./(kperp*kperp); } //! 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 ){ - CLHEP::HepLorentzVector temptrans=-(qav+qbv); - CLHEP::HepLorentzVector p5=qav-qbv; - CLHEP::HepLorentzVector CL=temptrans + const CLHEP::HepLorentzVector temptrans=-(qav+qbv); + const CLHEP::HepLorentzVector p5=qav-qbv; + const CLHEP::HepLorentzVector CL=temptrans + qav.m2()*(1./p5.dot(pip)*pip + 1./p5.dot(pop)*pop)/2. - qbv.m2()*(1./p5.dot(pim)*pim + 1./p5.dot(pom)*pom)/2. + ( pip*(p5.dot(pim)/pip.dot(pim) + p5.dot(pom)/pip.dot(pom)) + pop*(p5.dot(pim)/pop.dot(pim) + p5.dot(pom)/pop.dot(pom)) - pim*(p5.dot(pip)/pip.dot(pim) + p5.dot(pop)/pop.dot(pim)) - pom*(p5.dot(pip)/pip.dot(pom) + p5.dot(pop)/pop.dot(pom)) )/2.; return -CL.dot(CL); } //! Lipatov vertex with soft subtraction double C2Lipatovots( CLHEP::HepLorentzVector const & qav, CLHEP::HepLorentzVector const & qbv, CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pb, CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & p2, - double lambda + const double lambda ) { - double kperp=(qav-qbv).perp(); - if (kperp>lambda) - return C2Lipatov(qav, qbv, pa, pb, p1, p2)/(qav.m2()*qbv.m2()); + const double Cls=(C2Lipatov(qav, qbv, pa, pb, p1, p2)/(qav.m2()*qbv.m2())); - double Cls=(C2Lipatov(qav, qbv, pa, pb, p1, p2)/(qav.m2()*qbv.m2())); - double temp=Cls-4./(kperp*kperp); - return temp; + const double kperp=(qav-qbv).perp(); + if (kperp>lambda) + return Cls; + return Cls-4./(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( int aptype, int bptype, CLHEP::HepLorentzVector const & pg, CLHEP::HepLorentzVector const & pn, CLHEP::HepLorentzVector const & pb, CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & pa ){ assert(aptype!=21); // aptype cannot be gluon if (bptype==21) { if (aptype > 0) return ME_unob_qg(pg,p1,pa,pn,pb); else return ME_unob_qbarg(pg,p1,pa,pn,pb); } else if (bptype<0) { // ----- || ----- if (aptype > 0) return ME_unob_qQbar(pg,p1,pa,pn,pb); else return ME_unob_qbarQbar(pg,p1,pa,pn,pb); } else { //bptype == quark if (aptype > 0) return ME_unob_qQ(pg,p1,pa,pn,pb); else 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( int 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 ){ if (bptype==21) { if (swap_q_qx) // pq extremal return ME_Exqqx_qqbarg(pgin,pq,pqbar,pn,pb); else // pqbar extremal return ME_Exqqx_qbarqg(pgin,pq,pqbar,pn,pb); } else { // b leg quark line if (swap_q_qx) //extremal pq return ME_Exqqx_qqbarQ(pgin,pq,pqbar,pn,pb); else return ME_Exqqx_qbarqQ(pgin,pq,pqbar,pn,pb); } throw std::logic_error("Unreachable in ME_Exqqx_current()"); } /* \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( int aptype, int bptype, int nabove, CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pb, CLHEP::HepLorentzVector const & pq, CLHEP::HepLorentzVector const & pqbar, std::vector<HLV> const & partons){ // 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==21) wt*=K_g(partons.front(),pa)/HEJ::C_F; if (bptype==21) wt*=K_g(partons.back(),pb)/HEJ::C_F; return wt*ME_Cenqqx_qq(pa, pb, partons,(bptype<0),(aptype<0), 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( int aptype, int bptype, CLHEP::HepLorentzVector const & pn, CLHEP::HepLorentzVector const & pb, CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & pa ){ if (aptype==21&&bptype==21) { return ME_gg(pn,pb,p1,pa); } else if (aptype==21&&bptype!=21) { if (bptype > 0) return ME_qg(pn,pb,p1,pa); else return ME_qbarg(pn,pb,p1,pa); } else if (bptype==21&&aptype!=21) { // ----- || ----- if (aptype > 0) return ME_qg(p1,pa,pn,pb); else return ME_qbarg(p1,pa,pn,pb); } else { // they are both quark if (bptype>0) { if (aptype>0) return ME_qQ(pn,pb,p1,pa); else return ME_qQbar(pn,pb,p1,pa); } else { if (aptype>0) return ME_qQbar(p1,pa,pn,pb); else return ME_qbarQbar(pn,pb,p1,pa); } } throw std::logic_error("unknown particle types"); } /** Matrix element squared for tree-level current-current scattering With W+Jets * @param aptype Particle a PDG ID * @param bptype Particle b PDG ID * @param pn Particle n Momentum * @param pb Particle b Momentum * @param p1 Particle 1 Momentum * @param pa Particle a Momentum * @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( int aptype, int bptype, CLHEP::HepLorentzVector const & pn, CLHEP::HepLorentzVector const & pb, CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & plbar, CLHEP::HepLorentzVector const & pl, bool const wc, ParticleProperties const & Wprop ){ // We know it cannot be gg incoming. assert(!(aptype==21 && bptype==21)); if (aptype==21&&bptype!=21) { if (bptype > 0) return ME_W_qg(pn,plbar,pl,pb,p1,pa,Wprop); else return ME_W_qbarg(pn,plbar,pl,pb,p1,pa,Wprop); } else if (bptype==21&&aptype!=21) { // ----- || ----- if (aptype > 0) return ME_W_qg(p1,plbar,pl,pa,pn,pb,Wprop); else return ME_W_qbarg(p1,plbar,pl,pa,pn,pb,Wprop); } else { // they are both quark if (wc==true){ // emission off b, (first argument pbout) if (bptype>0) { if (aptype>0) return ME_W_qQ(pn,plbar,pl,pb,p1,pa,Wprop); else return ME_W_qQbar(pn,plbar,pl,pb,p1,pa,Wprop); } else { if (aptype>0) return ME_W_qbarQ(pn,plbar,pl,pb,p1,pa,Wprop); else return ME_W_qbarQbar(pn,plbar,pl,pb,p1,pa,Wprop); } } else{ // emission off a, (first argument paout) if (aptype > 0) { if (bptype > 0) return ME_W_qQ(p1,plbar,pl,pa,pn,pb,Wprop); else return ME_W_qQbar(p1,plbar,pl,pa,pn,pb,Wprop); } else { // a is anti-quark if (bptype > 0) return ME_W_qbarQ(p1,plbar,pl,pa,pn,pb,Wprop); else return ME_W_qbarQbar(p1,plbar,pl,pa,pn,pb,Wprop); } } } throw std::logic_error("unknown particle types"); } /** Matrix element squared for backwards uno tree-level current-current * scattering With W+Jets * * @param aptype Particle a PDG ID * @param bptype Particle b PDG ID * @param pn Particle n Momentum * @param pb Particle b Momentum * @param p1 Particle 1 Momentum * @param pa Particle a Momentum * @param pg Unordered gluon momentum * @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( int aptype, int bptype, CLHEP::HepLorentzVector const & pn, CLHEP::HepLorentzVector const & pb, CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pg, CLHEP::HepLorentzVector const & plbar, CLHEP::HepLorentzVector const & pl, bool const wc, ParticleProperties const & Wprop ){ // we know they are not both gluons if (bptype == 21 && aptype != 21) { // b gluon => W emission off a if (aptype > 0) return ME_Wuno_qg(p1,pa,pn,pb,pg,plbar,pl,Wprop); else return ME_Wuno_qbarg(p1,pa,pn,pb,pg,plbar,pl,Wprop); } else { // they are both quark if (wc) {// emission off b, i.e. b is first current if (bptype>0){ if (aptype>0) return ME_W_unob_qQ(p1,pa,pn,pb,pg,plbar,pl,Wprop); else return ME_W_unob_qQbar(p1,pa,pn,pb,pg,plbar,pl,Wprop); } else{ if (aptype>0) return ME_W_unob_qbarQ(p1,pa,pn,pb,pg,plbar,pl,Wprop); else return ME_W_unob_qbarQbar(p1,pa,pn,pb,pg,plbar,pl,Wprop); } } else {// wc == false, emission off a, i.e. a is first current if (aptype > 0) { if (bptype > 0) //qq return ME_Wuno_qQ(p1,pa,pn,pb,pg,plbar,pl,Wprop); else //qqbar return ME_Wuno_qQbar(p1,pa,pn,pb,pg,plbar,pl,Wprop); } else { // a is anti-quark if (bptype > 0) //qbarq return ME_Wuno_qbarQ(p1,pa,pn,pb,pg,plbar,pl,Wprop); else //qbarqbar return ME_Wuno_qbarQbar(p1,pa,pn,pb,pg,plbar,pl,Wprop); } } } throw std::logic_error("unknown particle types"); } /** \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( int aptype, int bptype, CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pb, CLHEP::HepLorentzVector const & pq, CLHEP::HepLorentzVector const & pqbar, CLHEP::HepLorentzVector const & pn, CLHEP::HepLorentzVector const & plbar, CLHEP::HepLorentzVector const & pl, bool const swap_q_qx, bool const wc, ParticleProperties const & Wprop ){ // CAM factors for the qqx amps, and qqbar ordering (default, qbar extremal) const double CFbackward = K_g( (swap_q_qx)?pq:pqbar ,pa)/HEJ::C_F; // With qqbar we could have 2 incoming gluons and W Emission if (aptype==21&&bptype==21) {//a gluon, b gluon gg->qqbarWg // This will be a wqqx emission as there is no other possible W Emission Site. if (swap_q_qx) return ME_WExqqx_qqbarg(pa, pqbar, plbar, pl, pq, pn, pb, Wprop)*CFbackward; else return ME_WExqqx_qbarqg(pa, pq, plbar, pl, pqbar, pn, pb, Wprop)*CFbackward; } else if (aptype==21&&bptype!=21 ) {//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; else return ME_WExqqx_qbarqQ(pa, pq, plbar, pl, pqbar, pn, pb, Wprop)*CFbackward; } else { // W Must be emitted from forwards leg. if (swap_q_qx) return ME_W_Exqqx_QQq(pb, pa, pn, pqbar, pq, plbar, pl, bptype<0, Wprop)*CFbackward; else return ME_W_Exqqx_QQq(pb, pa, pn, pq, pqbar, plbar, pl, bptype<0, Wprop)*CFbackward; } } throw std::logic_error("Incompatible incoming particle types with qqxb"); } /* \brief Matrix element squared for central qqx tree-level current-current * scattering With W+Jets * * @param aptype Particle a PDG ID * @param bptype Particle b PDG ID * @param nabove Number of gluons emitted before central qqxpair * @param nbelow Number of gluons emitted after central qqxpair * @param pa Initial state a Momentum * @param pb Initial state b Momentum\ * @param pq Final state qbar Momentum * @param pqbar Final state q Momentum * @param partons Vector of all outgoing partons * @param plbar Final state anti-lepton momentum * @param pl Final state lepton momentum * @param wqq Boolean. True siginfies W boson is emitted from Central qqx * @param wc Boolean. wc=true signifies w boson emitted from leg b; if wqq=false. * @returns ME Squared for qqxmid Tree-Level Current-Current Scattering */ double ME_W_qqxmid_current( int aptype, int bptype, int nabove, int nbelow, CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pb, CLHEP::HepLorentzVector const & pq, CLHEP::HepLorentzVector const & pqbar, std::vector<HLV> const & partons, CLHEP::HepLorentzVector const & plbar, CLHEP::HepLorentzVector const & pl, bool const wqq, bool const wc, ParticleProperties const & Wprop ){ // 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==21) wt*=K_g(partons.front(),pa)/HEJ::C_F; if (bptype==21) wt*=K_g(partons.back(),pb)/HEJ::C_F; if(wqq) return wt*ME_WCenqqx_qq(pa, pb, pl, plbar, partons,(bptype<0),(aptype<0), swap_q_qx, nabove, Wprop); return wt*ME_W_Cenqqx_qq(pa, pb, pl, plbar, partons, (bptype<0), (aptype<0), swap_q_qx, nabove, nbelow, wc, Wprop); } /** \brief Matrix element squared for tree-level current-current scattering with Higgs * @param aptype Particle a PDG ID * @param bptype Particle b PDG ID * @param pn Particle n Momentum * @param pb Particle b Momentum * @param p1 Particle 1 Momentum * @param pa Particle a Momentum * @param qH t-channel momentum before Higgs * @param qHp1 t-channel momentum after Higgs * @returns ME Squared for Tree-Level Current-Current Scattering with Higgs */ double ME_Higgs_current( int aptype, int bptype, CLHEP::HepLorentzVector const & pn, CLHEP::HepLorentzVector const & pb, CLHEP::HepLorentzVector const & p1, CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & qH, // t-channel momentum before Higgs CLHEP::HepLorentzVector const & qHp1, // t-channel momentum after Higgs double mt, bool include_bottom, double mb, double vev ){ if (aptype==21&&bptype==21) // gg initial state return ME_H_gg(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev); else if (aptype==21&&bptype!=21) { if (bptype > 0) return ME_H_qg(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev)*4./9.; else return ME_H_qbarg(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev)*4./9.; } else if (bptype==21&&aptype!=21) { if (aptype > 0) return ME_H_qg(p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev)*4./9.; else return ME_H_qbarg(p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev)*4./9.; } else { // they are both quark if (bptype>0) { if (aptype>0) return ME_H_qQ(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev)*4.*4./(9.*9.); else return ME_H_qQbar(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev)*4.*4./(9.*9.); } else { if (aptype>0) return ME_H_qQbar(p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev)*4.*4./(9.*9.); else return ME_H_qbarQbar(pn,pb,p1,pa,-qHp1,-qH,mt,include_bottom,mb,vev)*4.*4./(9.*9.); } } throw std::logic_error("unknown particle types"); } /** \brief Current matrix element squared with Higgs and unordered backward emission * @param aptype Particle A PDG ID * @param bptype Particle B PDG ID * @param pn Particle n Momentum * @param pb Particle b Momentum * @param 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( int aptype, int 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 ){ if (bptype==21&&aptype!=21) { if (aptype > 0) return ME_H_unob_gQ(pg,p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev); else return ME_H_unob_gQbar(pg,p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev); } else { // they are both quark if (aptype>0) { if (bptype>0) return ME_H_unob_qQ(pg,p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev); else return ME_H_unob_qbarQ(pg,p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev); } else { if (bptype>0) return ME_H_unob_qQbar(pg,p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev); else return ME_H_unob_qbarQbar(pg,p1,pa,pn,pb,-qH,-qHp1,mt,include_bottom,mb,vev); } } throw std::logic_error("unknown particle types"); } CLHEP::HepLorentzVector to_HepLorentzVector(HEJ::Particle const & particle){ return {particle.p.px(), particle.p.py(), particle.p.pz(), particle.p.E()}; } void validate(HEJ::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 anonymous MatrixElement::MatrixElement( std::function<double (double)> alpha_s, MatrixElementConfig conf ): alpha_s_{std::move(alpha_s)}, param_{std::move(conf)} { validate(param_); } 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); // 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; } } // namespace anonymous std::vector<Particle> MatrixElement::tag_extremal_jet_partons( Event const & ev ) const{ 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; } const auto & 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(size_t i = 0; i < out_partons.size(); ++i){ assert(HEJ::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; } namespace { double tree_kin_jets_qqxmid( int aptype, int bptype, HLV pa, HLV pb, std::vector<Particle> const & partons, double lambda ){ HLV pq,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); } int nabove = std::distance(begin_ladder, backmidquark); std::vector<HLV> partonsHLV; partonsHLV.reserve(partons.size()); for (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==21); // 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; } } 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()==HEJ::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 ); } else if (ev.type()==HEJ::event_type::unordered_backward){ return tree_kin_jets_uno(incoming.begin(), incoming.end(), partons.begin(), partons.end(), param_.regulator_lambda); } else if (ev.type()==HEJ::event_type::unordered_forward){ return tree_kin_jets_uno(incoming.rbegin(), incoming.rend(), partons.rbegin(), partons.rend(), param_.regulator_lambda); } else if (ev.type()==HEJ::event_type::extremal_qqxb){ return tree_kin_jets_qqx(incoming.begin(), incoming.end(), partons.begin(), partons.end(), param_.regulator_lambda); } else if (ev.type()==HEJ::event_type::extremal_qqxf){ return tree_kin_jets_qqx(incoming.rbegin(), incoming.rend(), partons.rbegin(), partons.rend(), param_.regulator_lambda); } else if (ev.type()==HEJ::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); } else { throw std::logic_error("Cannot reweight non-resummable processes in Pure Jets"); } } namespace{ double tree_kin_W_FKL( int aptype, int bptype, HLV pa, HLV pb, std::vector<Particle> const & partons, HLV plbar, HLV 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 HLV & plbar, const HLV & 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 HLV & plbar, const HLV & 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( int aptype, int bptype, HLV pa, HLV pb, std::vector<Particle> const & partons, HLV plbar, HLV pl, double lambda, ParticleProperties const & Wprop ){ HLV pq,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 p1 = to_HepLorentzVector(partons.front()); + auto pn = to_HepLorentzVector(partons.back()); auto q0 = pa - p1; // t-channel momentum after qqx auto qqxt = q0; - bool wc, wqq; - if (backmidquark->type == -(backmidquark+1)->type){ // Central qqx does not emit - wqq=false; - if (aptype==partons[0].type) { - wc = true; - } - else{ - wc = false; - q0-=pl+plbar; - } - } - else{ - wqq = true; - wc = false; - qqxt-=pl+plbar; + bool wqq = backmidquark->type != -(backmidquark+1)->type; // qqx emit W + bool wc = !wqq & (aptype==partons.front().type); //leg b emits w + assert(!wqq || (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); } int nabove = std::distance(begin_ladder, backmidquark); int nbelow = std::distance(begin_ladder_2, end_ladder); std::vector<HLV> partonsHLV; partonsHLV.reserve(partons.size()); for (size_t i = 0; i != partons.size(); ++i) { partonsHLV.push_back(to_HepLorentzVector(partons[i])); } 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 anonymous 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( (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 HLV plbar, 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()); } 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 // TODO: code duplication with jets.cc double K_g(double p1minus, double paminus) { return 1./2.*(p1minus/paminus + paminus/p1minus)*(C_A - 1./C_A) + 1./C_A; } double K_g( CLHEP::HepLorentzVector const & pout, CLHEP::HepLorentzVector const & pin ) { if(pin.z() > 0) return K_g(pout.plus(), pin.plus()); return K_g(pout.minus(), pin.minus()); } double K( ParticleID type, CLHEP::HepLorentzVector const & pout, CLHEP::HepLorentzVector const & pin ) { if(type == ParticleID::gluon) return K_g(pout, pin); return C_F; } #endif // Colour factor in strict MRK limit double K_MRK(ParticleID type) { return (type == ParticleID::gluon)?C_A:C_F; } } double MatrixElement::MH2_forwardH( CLHEP::HepLorentzVector 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{ 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, const HLV & qH, const HLV & 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 ); } } 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; 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 = HEJ::C_A*HEJ::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 = HEJ::C_A*HEJ::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: return alpha_w*alpha_w; // TODO case pid::photon: case pid::Z: default: throw not_implemented("Emission of boson of unsupported type"); } } } 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*log(mur/parton->perp()); } } return get_AWZH_coupling(ev, alpha_s, param_.ew_parameters.alpha_w())*res; } } // namespace HEJ diff --git a/t/ME_data/ME_Wm.dat b/t/ME_data/ME_Wm.dat index dfb391f..cb9cef3 100644 --- a/t/ME_data/ME_Wm.dat +++ b/t/ME_data/ME_Wm.dat @@ -1,1308 +1,5600 @@ -2.928617337e-06 -1.647083496e-06 -6.792718307e-07 -8.309052795e-05 -1.188563005e-09 -7.418703203e-09 -4.64176585e-07 -4.469210588e-07 -6.108953218e-06 -2.937369558e-06 -4.834662872e-06 -8.222916804e-06 -1.984842145e-06 -4.724279533e-06 -2.284467423e-07 -6.086670249e-08 -9.402694313e-07 -2.134890127e-05 -1.344127063e-06 -6.325064033e-08 -5.042105356e-06 -0.0002284967536 -2.294811317e-06 -6.277634042e-05 -1.336994329e-07 -3.953756759e-06 -9.658399826e-05 -2.316822172e-06 -2.819631851e-07 -0.0001081195238 -3.432930003e-06 -3.368456504e-06 -1.112864917e-08 -3.295369143e-07 -3.989490572e-10 -1.948758233e-05 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