diff --git a/FixedOrderGen/t/CMakeLists.txt b/FixedOrderGen/t/CMakeLists.txt index c627280..21f1a10 100644 --- a/FixedOrderGen/t/CMakeLists.txt +++ b/FixedOrderGen/t/CMakeLists.txt @@ -1,213 +1,213 @@ set(tst_dir "${CMAKE_CURRENT_SOURCE_DIR}") set(runcard_dir ${tst_dir}/runcards) function(add_long_test) set(options NONE) set(oneValueArgs NAME) set(multiValueArgs COMMAND) cmake_parse_arguments(TEST "${options}" "${oneValueArgs}" "${multiValueArgs}" ${ARGN}) add_test( NAME ${TEST_NAME}_short COMMAND ${TEST_COMMAND} short ) if(TEST_ALL) add_test( NAME ${TEST_NAME} COMMAND ${TEST_COMMAND} ) endif() endfunction() foreach(tst W_reconstruct_enu W_2j_classify W_nj_classify) add_executable(test_${tst} ${tst_dir}/${tst}.cc) target_link_libraries(test_${tst} hejfog_lib) add_test(NAME ${tst} COMMAND test_${tst} WORKING_DIRECTORY ${runcard_dir} ) endforeach() # this only tests if the runcard actually works, not if the result is correct add_test( NAME main_example COMMAND HEJFOG ${PROJECT_SOURCE_DIR}/configFO.yml ) add_test( NAME main_2j COMMAND HEJFOG ${runcard_dir}/2j.yml ) add_test( NAME main_h2j COMMAND HEJFOG ${runcard_dir}/h2j.yml ) add_test( NAME main_h2j_decay COMMAND HEJFOG ${runcard_dir}/h2j_decay.yml ) add_test( NAME peakpt COMMAND HEJFOG ${runcard_dir}/2j_peak.yml ) # special case where coupling not trivial add_test( NAME main_W4j_uno+eqqx COMMAND HEJFOG ${runcard_dir}/Wp4j_uno+eqqx.yml ) # check that uno emission doesn't change FKL xs add_executable(FKL_uno FKL_uno.cc) target_link_libraries(FKL_uno hejfog_lib) add_test( NAME FKL_uno # calculated with HEJ revision 9570e3809613272ac4b8bf3236279ba23cf64d20 COMMAND FKL_uno ${runcard_dir}/h3j_uno.yml 0.0243548 0.000119862 ) # xs tests add_executable(xs_gen xs_gen.cc) target_link_libraries(xs_gen hejfog_lib) ## Higgs add_test( NAME xs_hqQ # calculated with Sherpa see #132 COMMAND xs_gen ${runcard_dir}/hqQ.yml 1.612e-02 1.26303e-04 ) add_test( NAME xs_h2j # calculated with HEJ revision 9570e3809613272ac4b8bf3236279ba23cf64d20 COMMAND xs_gen ${runcard_dir}/h2j.yml 2.04928 0.00956022 ) add_test( NAME xs_h3j # calculated with HEJ revision bd4388fe55cbc3f5a7b6139096456c551294aa31 COMMAND xs_gen ${runcard_dir}/h3j.yml 1.07807 0.0132409 ) add_long_test( NAME xs_h3j_uno # calculated with HEJ revision 9570e3809613272ac4b8bf3236279ba23cf64d20 COMMAND xs_gen ${runcard_dir}/h3j_uno.yml 0.00347538 3.85875e-05 ) add_test( NAME xs_h5j # calculated with HEJ revision dbde2ffbb3b383ae6709b2424d8f0f9d5658270b COMMAND xs_gen ${runcard_dir}/h5j.yml 0.0112504 0.000199633 ) add_test( NAME xs_h2j_decay # calculated with HEJ revision 9570e3809613272ac4b8bf3236279ba23cf64d20 COMMAND xs_gen ${runcard_dir}/h2j_decay.yml 0.00466994 2.20995e-05 ) ## pure jets add_test( NAME xs_qQ # calculated with Sherpa see #132 COMMAND xs_gen ${runcard_dir}/qQ.yml 7.354e+05 1.905e+03 ) add_test( NAME xs_2j # calculated with "combined" HEJ svn r3480 COMMAND xs_gen ${runcard_dir}/2j.yml 86.42031848e06 590570 ) add_test( NAME xs_3j_uno # calculated with HEJ revision 9401196fba75b5d16bc33f2a309175fecaca00f1 - COMMAND xs_gen ${runcard_dir}/3j_uno.yml 900 14.3131 + COMMAND xs_gen ${runcard_dir}/3j_uno.yml 1.449280e+05 2.318716e+03 ) add_test( NAME xs_3j_qqx # calculated with HEJ revision 9401196fba75b5d16bc33f2a309175fecaca00f1 COMMAND xs_gen ${runcard_dir}/3j_qqx.yml 62040 1005 ) add_long_test( NAME xs_4j_qqx # calculated with HEJ revision 9401196fba75b5d16bc33f2a309175fecaca00f1 COMMAND xs_gen ${runcard_dir}/4j_qqx.yml 28936 550 ) add_test( NAME xs_4j # calculated with HEJ revision 13207b5f67a5f40a2141aa7ee515b022bd4efb65 - COMMAND xs_gen ${runcard_dir}/4j.yml 915072 15402.4 + COMMAND xs_gen ${runcard_dir}/4j.yml 1.042808e+06 2.137257e+04 ) ## W add_test( NAME xs_WqQ # calculated with Sherpa see #132 COMMAND xs_gen ${runcard_dir}/WpqQ.yml 3.086e+00 4.511e-02 ) add_test( NAME xs_W2j # calculated with HEJ revision 449f2f6b597020e9c9e35699568edc05c827fc11+1 COMMAND xs_gen ${runcard_dir}/Wm2j.yml 4.177443e+02 7.446928e+00 ) add_long_test( NAME xs_W3j_eqqx # calculated with HEJ revision 667eb768fbefa99148bf6fe9ffb6fcd16c0f976e COMMAND xs_gen ${runcard_dir}/Wp3j_qqx.yml 2.267785e+01 3.707774e-01 ) add_long_test( NAME xs_W3j_uno # calculated with HEJ revision 449f2f6b597020e9c9e35699568edc05c827fc11+1 COMMAND xs_gen ${runcard_dir}/Wp3j_uno.yml 3.000955e-01 5.831799e-03 ) add_long_test( NAME xs_W4j_qqx # calculated with HEJ revision 667eb768fbefa99148bf6fe9ffb6fcd16c0f976e COMMAND xs_gen ${runcard_dir}/Wp4j_qqx.yml 1.159881e-01 3.633528e-03 ) # Test that sum of partons == proton add_executable(PSP_channel PSP_channel.cc) target_link_libraries(PSP_channel hejfog_lib) # pure jets add_long_test( NAME channel_2j COMMAND PSP_channel ${runcard_dir}/2j.yml ) add_test( NAME channel_3j_qqx COMMAND PSP_channel ${runcard_dir}/3j_qqx.yml ) add_long_test( NAME channel_3j_uno COMMAND PSP_channel ${runcard_dir}/3j_uno.yml ) add_long_test( NAME channel_4j_qqx COMMAND PSP_channel ${runcard_dir}/4j_qqx.yml ) # W+jets # pure jets add_long_test( NAME channel_W2j COMMAND PSP_channel ${runcard_dir}/Wm2j.yml ) add_long_test( NAME channel_W3j_uno COMMAND PSP_channel ${runcard_dir}/Wp3j_uno.yml ) add_long_test( NAME channel_W3j_eqqx COMMAND PSP_channel ${runcard_dir}/Wp3j_qqx.yml ) add_long_test( NAME channel_W4j_qqx COMMAND PSP_channel ${runcard_dir}/Wp4j_qqx.yml ) # Test that each subleading channel is generated consistently add_executable(PSP_subl PSP_subl.cc) target_link_libraries(PSP_subl hejfog_lib) add_long_test( NAME subl_5j COMMAND PSP_subl ${runcard_dir}/5j.yml ) add_long_test( NAME subl_h5j COMMAND PSP_subl ${runcard_dir}/h5j.yml ) add_long_test( NAME subl_W3j COMMAND PSP_subl ${runcard_dir}/Wp3j_qqx.yml ) add_long_test( NAME subl_W5j COMMAND PSP_subl ${runcard_dir}/Wm5j.yml ) diff --git a/src/MatrixElement.cc b/src/MatrixElement.cc index ce9e549..594bf6a 100644 --- a/src/MatrixElement.cc +++ b/src/MatrixElement.cc @@ -1,2141 +1,2141 @@ /** * \authors The HEJ collaboration (see AUTHORS for details) * \date 2019-2020 * \copyright GPLv2 or later */ #include "HEJ/MatrixElement.hh" #include #include #include #include #include #include #include #include #include #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 tree_kin_part=tree_kin(event); std::vector 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(event.variations().size(), 0.)}; for(size_t i=0; i 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(event.variations().size(), 0.)}; } Weights result; // only compute once for each renormalisation scale std::unordered_map 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 MatrixElement::virtual_corrections(Event const & event) const { if(! is_resummable(event.type())) { return {Weights{0., std::vector(event.variations().size(), 0.)}}; } // only compute once for each renormalisation scale std::unordered_map > known_vec; std::vector 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 result_vec; for(size_t i=0; isecond.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 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 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 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; // 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); return ME_WExqqx_qbarqg(pa, pq, plbar, pl, pqbar, pn, pb, Wprop); } 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); return ME_WExqqx_qbarqQ(pa, pq, plbar, pl, pqbar, pn, pb, Wprop); } // W Must be emitted from forwards leg. 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 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 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 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::infinity()) { throw std::invalid_argument{ "Conflicting settings: " "impact factors may only be used in the infinite top mass limit" }; } } } // namespace MatrixElement::MatrixElement( std::function alpha_s, MatrixElementConfig conf ): alpha_s_{std::move(alpha_s)}, param_{std::move(conf)} { validate(param_); } std::vector 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 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 std::vector 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 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 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 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 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 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 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 double tree_kin_W_uno(InIter BeginIn, partIter BeginPart, partIter EndPart, const CLHEP::HepLorentzVector & plbar, const CLHEP::HepLorentzVector & pl, double lambda, ParticleProperties const & Wprop ){ const auto pa = to_HepLorentzVector(*BeginIn); const auto pb = to_HepLorentzVector(*(BeginIn+1)); const auto pg = to_HepLorentzVector(*BeginPart); const auto p1 = to_HepLorentzVector(*(BeginPart+1)); const auto pn = to_HepLorentzVector(*(EndPart-1)); bool wc = (BeginIn)->type==(BeginPart+1)->type; //leg b emits w auto q0 = pa - p1 - pg; if(!wc) q0 -= pl + plbar; const double current_factor = ME_W_uno_current( (BeginIn)->type, (BeginIn+1)->type, pn, pb, p1, pa, pg, plbar, pl, wc, Wprop ); const double ladder_factor = FKL_ladder_weight( BeginPart+2, EndPart-1, q0, pa, pb, p1, pn, lambda ); return current_factor*ladder_factor; } template 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*ladder_factor; } double tree_kin_W_qqxmid( ParticleID aptype, ParticleID bptype, CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pb, std::vector 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 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(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 tree_kin_Z_FKL( const ParticleID aptype, const ParticleID bptype, CLHEP::HepLorentzVector const & pa, CLHEP::HepLorentzVector const & pb, std::vector 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 current_factor = ME_Z_current( aptype, bptype, pn, pb, p1, pa, plbar, pl, Zprop, stw2, ctw ); std::vector 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 result; for(size_t i=0; i std::vector 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 current_factor = ME_Z_uno_current( aptype, bptype, pn, pb, p1, pa, pg, plbar, pl, Zprop, stw2, ctw ); std::vector 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 result; for(size_t i=0; i 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 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/jets.cc b/src/jets.cc index 8a4a0fa..265ea9b 100644 --- a/src/jets.cc +++ b/src/jets.cc @@ -1,361 +1,357 @@ /** * \authors The HEJ collaboration (see AUTHORS for details) * \date 2019-2020 * \copyright GPLv2 or later */ #include "HEJ/jets.hh" #include #include #include #include "HEJ/Constants.hh" // generated headers #include "HEJ/currents/j_j.hh" #include "HEJ/currents/j_jqqbar.hh" #include "HEJ/currents/j_qqbar_j.hh" #include "HEJ/currents/juno_j.hh" namespace { // short hand for math functions using std::abs; using std::conj; using std::sqrt; } // Anonymous Namespace namespace HEJ { namespace currents { // Colour acceleration multiplier for gluons see eq. (7) in arXiv:0910.5113 // @TODO: this is not a current and should be moved somewhere else double K_g(double p1minus, double paminus) { return 1./2.*(p1minus/paminus + paminus/p1minus)*(C_A - 1./C_A) + 1./C_A; } double K_g( HLV const & pout, HLV const & pin ) { if(pin.z() > 0) return K_g(pout.plus(), pin.plus()); return K_g(pout.minus(), pin.minus()); } namespace { //@{ /** * @brief Pure Jet FKL Contributions, function to handle all incoming types. * @param p1out Outgoing Particle 1. * @param p1in Incoming Particle 1. * @param p2out Outgoing Particle 2 * @param p2in Incoming Particle 2 * * Calculates j_\mu j^\mu. * Handles all possible incoming states. Helicity doesn't matter since we sum * over all of them. In addition, we only have to distinguish between the two * possibilities of contracting same-helicity or opposite-helicity currents. */ double j_j(HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ using helicity::plus; using helicity::minus; COM const Mp = HEJ::j_j(p1in, p1out, p2in, p2out); COM const Mm = HEJ::j_j(p1in, p1out, p2in, p2out); double const sst = std::norm(Mm) + std::norm(Mp); HLV const q1=p1in-p1out; HLV const q2=-(p2in-p2out); // Multiply by Cf^2 (colour) * 2 (helicities) return 2.*C_F*C_F*(sst)/(q1.m2()*q2.m2()); } } // Anonymous Namespace double ME_qQ(HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ return j_j(p1out, p1in, p2out, p2in); } double ME_qQbar(HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ return j_j(p1out, p1in, p2out, p2in); } double ME_qbarQbar(HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ return j_j(p1out, p1in, p2out, p2in); } double ME_qg(HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ return j_j(p1out, p1in, p2out, p2in)*K_g(p2out, p2in)/C_F; } double ME_qbarg(HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ return j_j(p1out, p1in, p2out, p2in)*K_g(p2out, p2in)/(C_F); } double ME_gg(HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ return j_j(p1out, p1in, p2out, p2in)*K_g(p1out, p1in)*K_g(p2out, p2in)/(C_F*C_F); } //@} namespace { template double amp_juno_j( HLV const & pa, HLV const & pb, HLV const & pg, HLV const & p1, HLV const & p2 ) { // TODO: code duplication with Wjets const COM u1 = U1_j(pa,p1,pb,p2,pg); const COM u2 = U2_j(pa,p1,pb,p2,pg); const COM l = L_j(pa,p1,pb,p2,pg); - return 2.*C_F*std::real((l-u1)*std::conj(l+u2)) - + 2.*C_F*C_F/3.*std::norm(u1+u2) - ; + const COM x = u1 - l; + const COM y = u2 + l; + + return C_A*C_F*C_F/2.*(norm(x)+norm(y)) - C_F/2.*(x*conj(y)).real(); } double juno_j(HLV const & pg, HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ using helicity::minus; using helicity::plus; const HLV q2 = p2out - p2in; // Bottom End const HLV qg = p1in - p1out - pg; // Extra bit post-gluon // only calculate half of the helicity amplitudes, // the remaining ones follow from CP symmetry const double amm = amp_juno_j(p1in, p2in, pg, p1out, p2out); const double amp = amp_juno_j(p1in, p2in, pg, p1out, p2out); const double apm = amp_juno_j< plus, minus>(p1in, p2in, pg, p1out, p2out); const double app = amp_juno_j< plus, plus>(p1in, p2in, pg, p1out, p2out); constexpr double hel_fac = 2.; - double amp_sq = hel_fac/16.*(amm + amp + apm + app)/(q2.m2()*qg.m2()); - - // Factor of (Cf/Ca) for each quark to match j_j. - amp_sq*=(C_F*C_F)/(C_A*C_A); - - return amp_sq; + return hel_fac/(4.*C_A*C_A)*(amm + amp + apm + app)/(q2.m2()*qg.m2()); } } // Anonymous Namespace //Unordered bits for pure jet double ME_unob_qQ(HLV const & pg, HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ return juno_j(pg, p1out, p1in, p2out, p2in); } double ME_unob_qbarQ(HLV const & pg, HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ return juno_j(pg, p1out, p1in, p2out, p2in); } double ME_unob_qQbar(HLV const & pg, HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ return juno_j(pg, p1out, p1in, p2out, p2in); } double ME_unob_qbarQbar(HLV const & pg, HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ return juno_j(pg, p1out, p1in, p2out, p2in); } double ME_unob_qg( HLV const & pg, HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ return juno_j(pg, p1out, p1in, p2out, p2in)*K_g(p2out,p2in)/C_F; } double ME_unob_qbarg(HLV const & pg, HLV const & p1out, HLV const & p1in, HLV const & p2out, HLV const & p2in ){ return juno_j(pg, p1out, p1in, p2out, p2in)*K_g(p2out,p2in)/C_F; } namespace { // helicity amplitudes for j jqqbar contraction template double amp_j_jqqbar( HLV const & pa, HLV const & pb, HLV const & p1, HLV const & p2, HLV const & p3 ) { // TODO: code duplication with Wjets.cc 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 = j_qggm1(pb,p2,p3,pa,p1); const COM m2 = j_qggm2(pb,p2,p3,pa,p1); const COM m3 = j_qggm3(pb,p2,p3,pa,p1); 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)) ; } //Now the function to give helicity/colour sum/average double MqgtqQQ(HLV const & pa, HLV const & pb, HLV const & p1, HLV const & p2, HLV const & p3 ){ using helicity::minus; using helicity::plus; const double Mmmm = amp_j_jqqbar(pa, pb, p1, p2, p3); const double Mmmp = amp_j_jqqbar(pa, pb, p1, p2, p3); const double Mpmm = amp_j_jqqbar< plus, minus>(pa, pb, p1, p2, p3); const double Mpmp = amp_j_jqqbar< plus, plus>(pa, pb, p1, p2, p3); // Factor of 2 for the helicity for conjugate configurations return (2.*(Mmmm+Mmmp+Mpmm+Mpmp)/3.)/(pa-p1).m2()/(p2+p3-pb).m2(); } } // Anonymous Namespace // Extremal qqx double ME_Exqqx_qbarqQ(HLV const & pgin, HLV const & pqout, HLV const & pqbarout, HLV const & p2out, HLV const & p2in ){ return MqgtqQQ(p2in, pgin, p2out, pqout, pqbarout); } double ME_Exqqx_qqbarQ(HLV const & pgin, HLV const & pqout, HLV const & pqbarout, HLV const & p2out, HLV const & p2in ){ return MqgtqQQ(p2in, pgin, p2out, pqbarout, pqout); } double ME_Exqqx_qbarqg(HLV const & pgin, HLV const & pqout, HLV const & pqbarout, HLV const & p2out, HLV const & p2in ){ return MqgtqQQ(p2in, pgin, p2out, pqout, pqbarout)*K_g(p2out,p2in)/C_F; } double ME_Exqqx_qqbarg(HLV const & pgin, HLV const & pqout, HLV const & pqbarout, HLV const & p2out, HLV const & p2in ){ return MqgtqQQ(p2in, pgin, p2out, pqbarout, pqout)*K_g(p2out,p2in)/C_F; } namespace { // helicity amplitudes for matrix element with central qqbar template double amp_Cenqqx_qq( HLV const & pa, HLV const & p1, HLV const & pb, HLV const & p4, HLV const & pq, HLV const & pqbar, HLV const & q11, HLV const & q12 ){ using std::norm; const COM sym = M_sym( pa, p1, pb, p4, pq, pqbar, q11, q12 ); const COM cross = M_cross( pa, p1, pb, p4, pq, pqbar, q11, q12 ); const COM uncross = M_qbar( pa, p1, pb, p4, pq, pqbar, 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 double ME_Cenqqx_qq( HLV const & pa, HLV const & pb, std::vector const & partons, bool /* aqlinepa */, bool /* aqlinepb */, const bool qqxmarker, const std::size_t nabove ){ using helicity::plus; using helicity::minus; CLHEP::HepLorentzVector q1 = pa; for(std::size_t 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 = partons[nabove+1]; HLV pqbar = partons[nabove+2]; if(qqxmarker) std::swap(pq, pqbar); const HLV p1 = partons.front(); const HLV pn = partons.back(); // 8 helicity choices, but only 4 independent ones //(complex conjugation related). // In principle, the proper helicity labeling depends on // whether we have antiquark lines (aqlinea and aqlineb). // However, this only corresponds to a relabeling, // which doesn't change the sum over all helicities below. const double amp_mm = amp_Cenqqx_qq( pa, p1, pb, pn, pq, pqbar, qq.first, -qq.second ); const double amp_mp = amp_Cenqqx_qq( pa, p1, pb, pn, pq, pqbar, qq.first, -qq.second ); const double amp_pm = amp_Cenqqx_qq( pa, p1, pb, pn, pq, pqbar, qq.first, -qq.second ); const double amp_pp = amp_Cenqqx_qq( pa, p1, pb, pn, pq, pqbar, qq.first, -qq.second ); //Result (averaged, without coupling or t-channel props). Factor of //2 for the 4 helicity configurations I didn't work out explicitly const HLV q3 = q1 - pq - pqbar; return (2.*(amp_mm+amp_mp+amp_pm+amp_pp)/9./4.) / ((pa-p1).m2()*(pb-pn).m2()*q1.m2()*q3.m2()); } } // namespace currents } // namespace HEJ diff --git a/t/ME_data/ME_jets_subl_tree.dat b/t/ME_data/ME_jets_subl_tree.dat index 8ab02fa..0718f5e 100644 --- a/t/ME_data/ME_jets_subl_tree.dat +++ b/t/ME_data/ME_jets_subl_tree.dat @@ -1,7922 +1,7922 @@ 1.125301398e+00 -8.983450236e-03 +1.455318938e+00 3.657200294e-01 -4.747310358e-03 +7.690642779e-01 0.000000000e+00 2.737705260e-03 0.000000000e+00 -3.867904885e-03 +6.266005913e-01 0.000000000e+00 -6.562605514e-04 +1.063142093e-01 2.900001062e+01 2.569681939e+00 -1.009589677e-03 +1.635535276e-01 0.000000000e+00 3.151974098e-03 1.160947414e+01 -1.544464748e-04 +2.502032891e-02 1.669897236e-01 1.411284091e+03 0.000000000e+00 1.012033251e+00 0.000000000e+00 5.462616462e+00 2.440949793e-01 1.078351882e+01 4.810100249e-02 9.394186987e-02 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