Rivet analyses
Measurement of the WZ production cross section at 8 TeV
Experiment: ATLAS (LHC)
Inspire ID: 1426523
Status: VALIDATED
Authors: - Elena Yatsenko
References: - Expt page: ATLAS-STDM-2014-02 - Phys. Rev. D 93, 092004 (2016) - arXiv: 1603.02151 - DOI: 10.1103/PhysRevD.93.092004
Beams: p+ p+
Beam energies: (4000.0, 4000.0)GeV
Run details: - pp -> WZ + X, diboson decays to electrons and muons
This paper presents measurements of W±Z production in pp collisions at a center-of-mass energy of 8 TeV. The gauge bosons are reconstructed using their leptonic decay modes into electrons and muons. The data were collected in 2012 by the ATLAS experiment at the Large Hadron Collider and correspond to an integrated luminosity of 20.3 fb−1. The measured inclusive cross section in the detector fiducial region is σ(W±Z → ℓ′νℓℓ) = 35.1 ± 0.9(stat)±0.8(sys)±0.8(lumi) fb, for one leptonic decay channel. In comparison, the next-to-leading-order Standard Model expectation is 30.0 ± 2.1 fb. Cross sections for W+Z and W−Z production and their ratio are presented as well as differential cross sections for several kinematic observables. Limits on anomalous triple gauge boson couplings are derived from the transverse mass spectrum of the W±Z system. From the analysis of events with a W and a Z boson associated with two or more forward jets an upper limit at 95% confidence level on the W±Z scattering cross section of 0.63 fb, for each leptonic decay channel, is established, while the Standard Model prediction at next-to-leading order is 0.13 ± 0.01 fb. Limits on anomalous quartic gauge boson couplings are also extracted. For distributions that include the infinity symbol (∞) on the horizontal axis, the last bin will include the events from the overflow bin. Users should note that explicit matching of lepton flavour between individual SM neutrinos and charged leptons is used in this analysis routine, to match the MC-based correction to the fiducial region applied in the paper. The data are therefore only valid under the assumption of the Standard Model and cannot be used for BSM reinterpretation.
Source
code:ATLAS_2016_I1426523.cc
// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/FinalState.hh"
#include "Rivet/Projections/FastJets.hh"
#include "Rivet/Projections/IdentifiedFinalState.hh"
#include "Rivet/Projections/PromptFinalState.hh"
#include "Rivet/Projections/LeptonFinder.hh"
#include "Rivet/Projections/VetoedFinalState.hh"
namespace Rivet {
/// @brief Measurement of the WZ production cross section at 8 TeV
class ATLAS_2016_I1426523 : public Analysis {
public:
/// Constructor
RIVET_DEFAULT_ANALYSIS_CTOR(ATLAS_2016_I1426523);
/// @name Analysis methods
/// @{
/// Book histograms and initialise projections before the run
void init() {
// Lepton cuts
Cut FS_Zlept = Cuts::abseta < 2.5 && Cuts::pT > 15*GeV;
const FinalState fs;
Cut fs_z = Cuts::abseta < 2.5 && Cuts::pT > 15*GeV;
Cut fs_j = Cuts::abseta < 4.5 && Cuts::pT > 25*GeV;
// Get photons to dress leptons
PromptFinalState photons(Cuts::abspid == PID::PHOTON);
// Electrons and muons in Fiducial PS
PromptFinalState leptons(fs_z && (Cuts::abspid == PID::ELECTRON || Cuts::abspid == PID::MUON));
leptons.acceptTauDecays(false);
LeptonFinder dressedleptons(leptons, photons, 0.1, FS_Zlept);
declare(dressedleptons, "LeptonFinder");
// Electrons and muons in Total PS
PromptFinalState leptons_total(Cuts::abspid == PID::ELECTRON || Cuts::abspid == PID::MUON);
leptons_total.acceptTauDecays(false);
LeptonFinder dressedleptonsTotal(leptons_total, photons, 0.1);
declare(dressedleptonsTotal, "LeptonFinderTotal");
// Neutrinos
IdentifiedFinalState nu_id;
nu_id.acceptNeutrinos();
PromptFinalState neutrinos(nu_id);
neutrinos.acceptTauDecays(false);
declare(neutrinos, "Neutrinos");
MSG_WARNING("\033[91;1mLIMITED VALIDITY - check info file for details!\033[m");
// Jets
VetoedFinalState veto;
veto.addVetoOnThisFinalState(dressedleptons);
FastJets jets(veto, JetAlg::ANTIKT, 0.4);
declare(jets, "Jets");
// Book histograms
book(_i["eee"] , 1, 1, 1);
book(_i["mee"] , 1, 1, 2);
book(_i["emm"] , 1, 1, 3);
book(_i["mmm"] , 1, 1, 4);
book(_i["fid"] , 1, 1, 5);
book(_i["eee_Plus"] , 2, 1, 1);
book(_i["mee_Plus"] , 2, 1, 2);
book(_i["emm_Plus"] , 2, 1, 3);
book(_i["mmm_Plus"] , 2, 1, 4);
book(_i["fid_Plus"] , 2, 1, 5);
book(_i["eee_Minus"] , 3, 1, 1);
book(_i["mee_Minus"] , 3, 1, 2);
book(_i["emm_Minus"] , 3, 1, 3);
book(_i["mmm_Minus"] , 3, 1, 4);
book(_i["fid_Minus"] , 3, 1, 5);
book(_i["total"] , 5, 1, 1);
book(_ss["Njets"] , 27, 1, 1);
book(_ss["Njets_norm"], 41, 1, 1);
bookHandler("ZpT", 12);
bookHandler("ZpT_Plus", 13);
bookHandler("ZpT_Minus", 14);
bookHandler("WpT", 15);
bookHandler("WpT_Plus", 16);
bookHandler("WpT_Minus", 17);
bookHandler("mTWZ", 18);
bookHandler("mTWZ_Plus", 19);
bookHandler("mTWZ_Minus", 20);
bookHandler("pTv", 21);
bookHandler("pTv_Plus", 22);
bookHandler("pTv_Minus", 23);
bookHandler("Deltay", 24);
bookHandler("Deltay_Plus", 25);
bookHandler("Deltay_Minus", 26);
bookHandler("mjj", 28);
bookHandler("Deltayjj", 29);
bookHandler("ZpT_norm", 30);
bookHandler("ZpT_Plus_norm", 31);
bookHandler("ZpT_Minus_norm", 32);
bookHandler("WpT_norm", 33);
bookHandler("mTWZ_norm", 34);
bookHandler("pTv_norm", 35);
bookHandler("pTv_Plus_norm", 36);
bookHandler("pTv_Minus_norm", 37);
bookHandler("Deltay_norm", 38);
bookHandler("Deltay_Minus_norm", 39);
bookHandler("Deltay_Plus_norm", 40);
bookHandler("mjj_norm", 42);
bookHandler("Deltayjj_norm", 43);
}
void bookHandler(const string& tag, size_t ID) {
book(_s[tag], ID, 1, 1);
const string code1 = mkAxisCode(ID, 1, 1);
const string code2 = mkAxisCode(ID, 1, 2);
book(_h[tag], code2, refData(code1));
}
/// Perform the per-event analysis
void analyze(const Event& event) {
if(_edges.empty()) _edges = _ss["Njets"]->xEdges();
const DressedLeptons& dressedleptons = apply<LeptonFinder>(event, "LeptonFinder").dressedLeptons();
const DressedLeptons& dressedleptonsTotal = apply<LeptonFinder>(event, "LeptonFinderTotal").dressedLeptons();
const Particles& neutrinos = apply<PromptFinalState>(event, "Neutrinos").particlesByPt();
Jets jets = apply<JetFinder>(event, "Jets").jetsByPt( (Cuts::abseta < 4.5) && (Cuts::pT > 25*GeV) );
if ((dressedleptonsTotal.size()<3) || (neutrinos.size()<1)) vetoEvent;
//---Total PS: assign leptons to W and Z bosons using Resonant shape algorithm
// NB: This resonant shape algorithm assumes the Standard Model and can therefore
// NOT be used for reinterpretation in terms of new-physics models.
int i, j, k;
double MassZ01 = 0., MassZ02 = 0., MassZ12 = 0.;
double MassW0 = 0., MassW1 = 0., MassW2 = 0.;
double WeightZ1, WeightZ2, WeightZ3;
double WeightW1, WeightW2, WeightW3;
double M1, M2, M3;
double WeightTotal1, WeightTotal2, WeightTotal3;
//try Z pair of leptons 01
if ( (dressedleptonsTotal[0].pid()==-(dressedleptonsTotal[1].pid())) && (dressedleptonsTotal[2].abspid()==neutrinos[0].abspid()-1)){
MassZ01 = (dressedleptonsTotal[0].momentum()+dressedleptonsTotal[1].momentum()).mass();
MassW2 = (dressedleptonsTotal[2].momentum()+neutrinos[0].momentum()).mass();
}
//try Z pair of leptons 02
if ( (dressedleptonsTotal[0].pid()==-(dressedleptonsTotal[2].pid())) && (dressedleptonsTotal[1].abspid()==neutrinos[0].abspid()-1)){
MassZ02 = (dressedleptonsTotal[0].momentum()+dressedleptonsTotal[2].momentum()).mass();
MassW1 = (dressedleptonsTotal[1].momentum()+neutrinos[0].momentum()).mass();
}
//try Z pair of leptons 12
if ( (dressedleptonsTotal[1].pid()==-(dressedleptonsTotal[2].pid())) && (dressedleptonsTotal[0].abspid()==neutrinos[0].abspid()-1)){
MassZ12 = (dressedleptonsTotal[1].momentum()+dressedleptonsTotal[2].momentum()).mass();
MassW0 = (dressedleptonsTotal[0].momentum()+neutrinos[0].momentum()).mass();
}
WeightZ1 = 1/(pow(MassZ01*MassZ01 - MZ_PDG*MZ_PDG,2) + pow(MZ_PDG*GammaZ_PDG,2));
WeightW1 = 1/(pow(MassW2*MassW2 - MW_PDG*MW_PDG,2) + pow(MW_PDG*GammaW_PDG,2));
WeightTotal1 = WeightZ1*WeightW1;
M1 = -1*WeightTotal1;
WeightZ2 = 1/(pow(MassZ02*MassZ02- MZ_PDG*MZ_PDG,2) + pow(MZ_PDG*GammaZ_PDG,2));
WeightW2 = 1/(pow(MassW1*MassW1- MW_PDG*MW_PDG,2) + pow(MW_PDG*GammaW_PDG,2));
WeightTotal2 = WeightZ2*WeightW2;
M2 = -1*WeightTotal2;
WeightZ3 = 1/(pow(MassZ12*MassZ12 - MZ_PDG*MZ_PDG,2) + pow(MZ_PDG*GammaZ_PDG,2));
WeightW3 = 1/(pow(MassW0*MassW0 - MW_PDG*MW_PDG,2) + pow(MW_PDG*GammaW_PDG,2));
WeightTotal3 = WeightZ3*WeightW3;
M3 = -1*WeightTotal3;
bool found = false;
if( (M1 < M2 && M1 < M3) || (MassZ01 != 0 && MassW2 != 0 && MassZ02 == 0 && MassZ12 == 0) ){
i = 0; j = 1; k = 2;
found = true;
}
if( (M2 < M1 && M2 < M3) || (MassZ02 != 0 && MassW1 != 0 && MassZ01 == 0 && MassZ12 == 0) ){
i = 0; j = 2; k = 1;
found = true;
}
if( (M3 < M1 && M3 < M2) || (MassZ12 != 0 && MassW0 != 0 && MassZ01 == 0 && MassZ02 == 0) ){
i = 1; j = 2; k = 0;
found = true;
}
if (!found) vetoEvent;
FourMomentum ZbosonTotal = dressedleptonsTotal[i].momentum()+dressedleptonsTotal[j].momentum();
if ( (ZbosonTotal.mass() >= 66*GeV) && (ZbosonTotal.mass() <= 116*GeV) ) _i["total"]->fill(8000);
//---end Total PS
//---Fiducial PS: assign leptons to W and Z bosons using Resonant shape algorithm
if (dressedleptons.size() < 3 || neutrinos.size() < 1) vetoEvent;
int EventType = -1;
int Nel = 0, Nmu = 0;
for (const DressedLepton& l : dressedleptons) {
if (l.abspid() == 11) ++Nel;
if (l.abspid() == 13) ++Nmu;
}
if ( Nel == 3 && Nmu==0 ) EventType = 3;
if ( Nel == 2 && Nmu==1 ) EventType = 2;
if ( Nel == 1 && Nmu==2 ) EventType = 1;
if ( Nel == 0 && Nmu==3 ) EventType = 0;
int EventCharge = -dressedleptons[0].charge()*dressedleptons[1].charge()*dressedleptons[2].charge();
MassZ01 = 0; MassZ02 = 0; MassZ12 = 0;
MassW0 = 0; MassW1 = 0; MassW2 = 0;
//try Z pair of leptons 01
if ( (dressedleptons[0].pid()==-(dressedleptons[1].pid())) && (dressedleptons[2].abspid()==neutrinos[0].abspid()-1)){
MassZ01 = (dressedleptons[0].momentum()+dressedleptons[1].momentum()).mass();
MassW2 = (dressedleptons[2].momentum()+neutrinos[0].momentum()).mass();
}
//try Z pair of leptons 02
if ( (dressedleptons[0].pid()==-(dressedleptons[2].pid())) && (dressedleptons[1].abspid()==neutrinos[0].abspid()-1)){
MassZ02 = (dressedleptons[0].momentum()+dressedleptons[2].momentum()).mass();
MassW1 = (dressedleptons[1].momentum()+neutrinos[0].momentum()).mass();
}
//try Z pair of leptons 12
if ( (dressedleptons[1].pid()==-(dressedleptons[2].pid())) && (dressedleptons[0].abspid()==neutrinos[0].abspid()-1)){
MassZ12 = (dressedleptons[1].momentum()+dressedleptons[2].momentum()).mass();
MassW0 = (dressedleptons[0].momentum()+neutrinos[0].momentum()).mass();
}
WeightZ1 = 1/(pow(MassZ01*MassZ01 - MZ_PDG*MZ_PDG,2) + pow(MZ_PDG*GammaZ_PDG,2));
WeightW1 = 1/(pow(MassW2*MassW2 - MW_PDG*MW_PDG,2) + pow(MW_PDG*GammaW_PDG,2));
WeightTotal1 = WeightZ1*WeightW1;
M1 = -1*WeightTotal1;
WeightZ2 = 1/(pow(MassZ02*MassZ02- MZ_PDG*MZ_PDG,2) + pow(MZ_PDG*GammaZ_PDG,2));
WeightW2 = 1/(pow(MassW1*MassW1- MW_PDG*MW_PDG,2) + pow(MW_PDG*GammaW_PDG,2));
WeightTotal2 = WeightZ2*WeightW2;
M2 = -1*WeightTotal2;
WeightZ3 = 1/(pow(MassZ12*MassZ12 - MZ_PDG*MZ_PDG,2) + pow(MZ_PDG*GammaZ_PDG,2));
WeightW3 = 1/(pow(MassW0*MassW0 - MW_PDG*MW_PDG,2) + pow(MW_PDG*GammaW_PDG,2));
WeightTotal3 = WeightZ3*WeightW3;
M3 = -1*WeightTotal3;
found = false;
if( (M1 < M2 && M1 < M3) || (MassZ01 != 0 && MassW2 != 0 && MassZ02 == 0 && MassZ12 == 0) ){
i = 0; j = 1; k = 2;
found=true;
}
if( (M2 < M1 && M2 < M3) || (MassZ02 != 0 && MassW1 != 0 && MassZ01 == 0 && MassZ12 == 0) ){
i = 0; j = 2; k = 1;
found=true;
}
if( (M3 < M1 && M3 < M2) || (MassZ12 != 0 && MassW0 != 0 && MassZ01 == 0 && MassZ02 == 0) ){
i = 1; j = 2; k = 0;
found=true;
}
if(!found) vetoEvent;
FourMomentum Zlepton1 = dressedleptons[i].momentum();
FourMomentum Zlepton2 = dressedleptons[j].momentum();
FourMomentum Wlepton = dressedleptons[k].momentum();
FourMomentum Zboson = dressedleptons[i].momentum()+dressedleptons[j].momentum();
FourMomentum Wboson = dressedleptons[k].momentum()+neutrinos[0].momentum();
double Wboson_mT = sqrt( 2 * Wlepton.pT() * neutrinos[0].pt() * (1 - cos(deltaPhi(Wlepton, neutrinos[0]))) )/GeV;
if (fabs(Zboson.mass()-MZ_PDG)>=10.) vetoEvent;
if (Wboson_mT<=30.) vetoEvent;
if (Wlepton.pT()<=20.) vetoEvent;
if (deltaR(Zlepton1,Zlepton2) < 0.2) vetoEvent;
if (deltaR(Zlepton1,Wlepton) < 0.3) vetoEvent;
if (deltaR(Zlepton2,Wlepton) < 0.3) vetoEvent;
double WZ_pt = Zlepton1.pt() + Zlepton2.pt() + Wlepton.pt() + neutrinos[0].pt();
double WZ_px = Zlepton1.px() + Zlepton2.px() + Wlepton.px() + neutrinos[0].px();
double WZ_py = Zlepton1.py() + Zlepton2.py() + Wlepton.py() + neutrinos[0].py();
double mTWZ = sqrt( pow(WZ_pt, 2) - ( pow(WZ_px, 2) + pow(WZ_py,2) ) )/GeV;
double AbsDeltay = fabs(Zboson.rapidity()-Wlepton.rapidity());
if (EventType == 3) _i["eee"]->fill(8000);
if (EventType == 2) _i["mee"]->fill(8000);
if (EventType == 1) _i["emm"]->fill(8000);
if (EventType == 0) _i["mmm"]->fill(8000);
_i["fid"]->fill(8000);
if (EventCharge == 1) {
if (EventType == 3) _i["eee_Plus"]->fill(8000);
if (EventType == 2) _i["mee_Plus"]->fill(8000);
if (EventType == 1) _i["emm_Plus"]->fill(8000);
if (EventType == 0) _i["mmm_Plus"]->fill(8000);
_i["fid_Plus"]->fill(8000);
_h["Deltay_Plus"]->fill(AbsDeltay);
_h["Deltay_Plus_norm"]->fill(AbsDeltay);
fillWithOverflow("ZpT_Plus", Zboson.pT()/GeV, 220);
fillWithOverflow("WpT_Plus", Wboson.pT()/GeV, 220);
fillWithOverflow("mTWZ_Plus", mTWZ, 600);
fillWithOverflow("pTv_Plus", neutrinos[0].pt(), 90);
fillWithOverflow("ZpT_Plus_norm", Zboson.pT()/GeV, 220);
fillWithOverflow("pTv_Plus_norm", neutrinos[0].pt()/GeV, 90);
} else {
if (EventType == 3) _i["eee_Minus"]->fill(8000);
if (EventType == 2) _i["mee_Minus"]->fill(8000);
if (EventType == 1) _i["emm_Minus"]->fill(8000);
if (EventType == 0) _i["mmm_Minus"]->fill(8000);
_i["fid_Minus"]->fill(8000);
_h["Deltay_Minus"]->fill(AbsDeltay);
_h["Deltay_Minus_norm"]->fill(AbsDeltay);
fillWithOverflow("ZpT_Minus", Zboson.pT()/GeV, 220);
fillWithOverflow("WpT_Minus", Wboson.pT()/GeV, 220);
fillWithOverflow("mTWZ_Minus", mTWZ, 600);
fillWithOverflow("pTv_Minus", neutrinos[0].pt()/GeV, 90);
fillWithOverflow("ZpT_Minus_norm", Zboson.pT()/GeV, 220);
fillWithOverflow("pTv_Minus_norm", neutrinos[0].pt()/GeV, 90);
}
fillWithOverflow("ZpT", Zboson.pT()/GeV, 220);
fillWithOverflow("WpT", Wboson.pT()/GeV, 220);
fillWithOverflow("mTWZ", mTWZ, 600);
fillWithOverflow("pTv", neutrinos[0].pt()/GeV, 90);
_h["Deltay"]->fill(AbsDeltay);
size_t njets = min(jets.size(),size_t(5));
_ss["Njets" ]->fill(_edges[njets]);
_ss["Njets_norm"]->fill(_edges[njets]);
fillWithOverflow("ZpT_norm", Zboson.pT()/GeV, 220);
fillWithOverflow("WpT_norm", Wboson.pT()/GeV, 220);
fillWithOverflow("mTWZ_norm", mTWZ, 600);
fillWithOverflow("pTv_norm", neutrinos[0].pt()/GeV, 90);
_h["Deltay_norm"]->fill(AbsDeltay);
if (jets.size()>1) {
double mjj = (jets[0].momentum()+jets[1].momentum()).mass()/GeV;
fillWithOverflow("mjj", mjj, 800);
fillWithOverflow("mjj_norm", mjj, 800);
double DeltaYjj = fabs(jets[0].rapidity()-jets[1].rapidity());
fillWithOverflow("Deltayjj", DeltaYjj, 5);
fillWithOverflow("Deltayjj_norm", DeltaYjj, 5);
}
}
void fillWithOverflow(const string& tag, const double value, const double overflow){
if (value < overflow) _h[tag]->fill(value);
else _h[tag]->fill(overflow - 0.45);
}
/// Normalise histograms etc., after the run
void finalize() {
const double xs_pb(crossSection() / picobarn);
const double xs_fb(crossSection() / femtobarn);
const double sumw(sumOfWeights());
MSG_DEBUG("Cross-Section/pb: " << xs_pb );
MSG_DEBUG("Cross-Section/fb: " << xs_fb );
MSG_DEBUG("Sum of weights : " << sumw );
MSG_DEBUG("nEvents : " << numEvents());
const double sf_pb(xs_pb / sumw);
const double sf_fb(xs_fb / sumw);
MSG_DEBUG("sf_pb : " << sf_pb);
MSG_DEBUG("sf_fb : " << sf_fb);
float totalBR= 4*0.1086*0.033658; // W and Z leptonic branching fractions
for (auto& it : _h) {
if (it.first.find("total") != string::npos) scale(it.second, sf_pb/totalBR);
else if (it.first.find("norm") != string::npos) normalize(it.second);
else if (it.first.find("fid") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("Njets") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("ZpT") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("WpT") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("mTWZ") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("pTv") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("Deltay") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("mjj") != string::npos) scale(it.second, sf_fb/4.);
else scale(it.second, sf_fb);
}
for (auto& it : _i) {
if (it.first.find("total") != string::npos) scale(it.second, sf_pb/totalBR);
else if (it.first.find("norm") != string::npos) normalize(it.second);
else if (it.first.find("fid") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("Njets") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("ZpT") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("WpT") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("mTWZ") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("pTv") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("Deltay") != string::npos) scale(it.second, sf_fb/4.);
else if (it.first.find("mjj") != string::npos) scale(it.second, sf_fb/4.);
else scale(it.second, sf_fb);
}
for (auto& it : _s) {
barchart(_h[it.first], it.second);
removeAnalysisObject(_h[it.first]);
}
// normalisation of njets
scale(_ss["Njets"], sf_fb/4.);
normalize(_ss["Njets_norm"]);
}
/// @}
private:
/// @name Histograms
/// @{
map<string, Histo1DPtr> _h;
map<string, BinnedHistoPtr<int> > _i;
map<string, BinnedHistoPtr<string> > _ss;
map<string, Estimate1DPtr> _s;
vector<string> _edges;
/// @}
double MZ_PDG = 91.1876;
double MW_PDG = 83.385;
double GammaZ_PDG = 2.4952;
double GammaW_PDG = 2.085;
};
RIVET_DECLARE_PLUGIN(ATLAS_2016_I1426523);
}