Rivet analyses

Lepton differential ttbar analysis at 13 TeV

Experiment: ATLAS (LHC)

Inspire ID: 2971071

Status: VALIDATED

Authors: - Richard Hawkings

References: - Expt page: ATLAS-TOPQ-2024-12

Beams: p+ p+

Beam energies: (6500.0, 6500.0)GeV

Run details: - dileptonic top-quark pair production

The inclusive top quark pair (t) cross-section σt has been measured in $\sqrt{s}=13$ TeV proton–proton collisions, using 140 fb−1 of data collected by the ATLAS experiment at the Large Hadron Collider. Using events with an opposite-charge eμ pair and b-tagged jets, the cross-section is measured to be: σt = 829.3 ± 1.3(stat)  ± 8.0(syst)  ± 7.3(lumi)  ± 1.9(beam)pb, where the uncertainties reflect the limited size of the data sample, experimental and theoretical systematic effects, the integrated luminosity, and the proton beam energy, giving a total unce rtainty of 1.3%. The result is used to determine the top quark pole mass via the dependence of the predicted cross-section on mtpole, giving mtpole = 172.8−1.7+1.5 GeV. The same event sample is used to measure absolute and normalised differential cross-sections for the t → eμνν̄b process as a function of single-lepton and dilepton kinematic variables. Complementary measurements of eμb production, treating both t and Wt events as signal, are also provided. Both sets of differential cross-sections are compared to the predictions of various Monte Carlo event generators, demonstrating that the state-of-the-art generators Powheg MiNNLO and Powheg bb4l describe the data better than Powheg hvq. The sensitivity of some of the measured differential distributions to quasi-bound-state formation near the t threshold is investigated in an addendum.

Source code:ATLAS_2025_I2971071.cc

#include "Rivet/Analysis.hh"
#include "Rivet/Projections/FastJets.hh"
#include "Rivet/Projections/VetoedFinalState.hh"
#include "Rivet/Projections/IdentifiedFinalState.hh"
#include "Rivet/Projections/DirectFinalState.hh"
#include "Rivet/Projections/LeptonFinder.hh"
#include "Rivet/Projections/InvisibleFinalState.hh"

namespace Rivet {


  /// @brief Lepton differential ttbar analysis at 13 TeV
  class ATLAS_2025_I2971071 : public Analysis {
  public:

    RIVET_DEFAULT_ANALYSIS_CTOR(ATLAS_2025_I2971071);

    void init() {

      Cut eta_full = Cuts::abseta < 5.0 && Cuts::pT > 1.0*MeV;

      // Get photons to dress leptons
      DirectFinalState photons(Cuts::pid == PID::PHOTON);

      // Projection to find the electrons
      DirectFinalState prompt_el(Cuts::abspid == PID::ELECTRON, TauDecaysAs::PROMPT);
      LeptonFinder elecs(prompt_el, photons, 0.1, Cuts::abseta < 2.5 && Cuts::pT > 20*GeV);
      LeptonFinder veto_elecs(prompt_el, photons, 0.1, eta_full);
      declare(elecs, "elecs");

      // Projection to find the muons
      DirectFinalState prompt_mu(Cuts::abspid == PID::MUON, TauDecaysAs::PROMPT);
      LeptonFinder muons(prompt_mu, photons, 0.1, Cuts::abseta < 2.5 && Cuts::pT > 20*GeV);
      LeptonFinder veto_muons(prompt_mu, photons, 0.1, eta_full);
      declare(muons, "muons");

      // needed to form jets
      const InvisibleFinalState neutrinos(OnlyPrompt::YES, TauDecaysAs::PROMPT);

      VetoedFinalState vfs;
      vfs.addVetoOnThisFinalState(veto_elecs);
      vfs.addVetoOnThisFinalState(veto_muons);
      vfs.addVetoOnThisFinalState(neutrinos);

      FastJets jet(vfs, JetAlg::ANTIKT, 0.4, JetMuons::ALL, JetInvisibles::ALL);
      declare(jet, "Jets");

      // Book histograms
      bookHistos("lep_pt",       1);
      bookHistos("lep_eta",      2);
      bookHistos("dilep_pt",     3);
      bookHistos("dilep_mass",   4);
      bookHistos("dilep_rap",    5);
      bookHistos("dilep_dphi",   6);
      bookHistos("dilep_sumpt",  7);
      bookHistos("dilep_sumE",   8);
      bookHistos("lep_ptmax",    9);
      bookHistos("lep_ptmin",   10);

      // unrolled 2D distributions - 2nd-dim bin edges must be specified
      std::vector<double> massbins={0.,80.,120.,200.,500.};

      bookHisto2D("lep_eta_mass",21,massbins);
      bookHisto2D("dilep_rap_mass",22,massbins);
      bookHisto2D("dilep_dphi_mass",23,massbins);
    }

    void analyze(const Event& event) {
      DressedLeptons elecs = apply<LeptonFinder>(event, "elecs").dressedLeptons();
      DressedLeptons muons = apply<LeptonFinder>(event, "muons").dressedLeptons();

      if (elecs.empty() || muons.empty())  vetoEvent;
      if (elecs[0].charge() == muons[0].charge())  vetoEvent;

      // construct jets for embb final state
      Jets jets = apply<FastJets>(event, "Jets").jetsByPt(Cuts::pT > 25*GeV && Cuts::abseta < 2.5);
      // count b-tagged jets
      int nbjet=0;
      for (const Jet& jet: jets) {
        if (jet.bTagged(Cuts::pT > 5.0*GeV)) nbjet+=1;
      }
      // embb requires at least two b-jets
      bool embb = (nbjet >= 2);

      FourMomentum el = elecs[0].momentum();
      FourMomentum mu = muons[0].momentum();
      FourMomentum ll = elecs[0].momentum() + muons[0].momentum();

      // Fill histograms
      // include explicit overflow protection as last bins are inclusive
      fillHistos("lep_pt",      min(el.pT()/GeV,299.),embb);
      fillHistos("lep_pt",      min(mu.pT()/GeV,299.),embb);
      fillHistos("lep_eta",     el.abseta(),embb);
      fillHistos("lep_eta",     mu.abseta(),embb);
      fillHistos("dilep_pt",    min(ll.pT()/GeV,299.),embb);
      fillHistos("dilep_mass",  min(ll.mass()/GeV,599.),embb);
      fillHistos("dilep_rap",   ll.absrap(),embb);
      fillHistos("dilep_dphi",  deltaPhi(el, mu),embb);
      fillHistos("dilep_sumpt", min((el.pT()+mu.pT())/GeV,499.),embb);
      fillHistos("dilep_sumE",  min((el.E()+mu.E())/GeV,799.),embb);
      fillHistos("lep_ptmax",   min(max(el.pT(),mu.pT()),299.),embb);
      fillHistos("lep_ptmin",   min(min(el.pT(),mu.pT()),199.),embb);

      // find mass bin variable, with overflow protection
      float massv=ll.mass()/GeV;
      if (massv>499.) massv=499.;
      // Fill unrolled 2D histograms vs mass
      fillHisto2D("lep_eta_mass",el.abseta(),massv,embb);
      fillHisto2D("lep_eta_mass",mu.abseta(),massv,embb);
      fillHisto2D("dilep_rap_mass",ll.absrap(),massv,embb);
      fillHisto2D("dilep_dphi_mass",deltaPhi(el,mu),massv,embb);
    }

    void finalize() {
      // Normalize to cross-section
      const double sf = crossSection()/femtobarn/sumOfWeights();

      // finalisation of 1D histograms
      for (auto& hist : _h) {
        const double norm = 1.0 / hist.second->integral();
        // histogram normalisation
        if (hist.first.find("norm") != string::npos)  scale(hist.second, norm);
        else  scale(hist.second, sf);
      }

      // finalisation of 2D histograms
      for (auto& hist : _h_multi) {
        if (hist.first.find("_norm") != std::string::npos) {
          // scaling for normalised distribution according integral of whole set
          hist.second->normalizeGroup(1.0, false);
        }
        else {
          // scaling for non-normalised distribution
          scale(hist.second, sf);
        }
      }
      divByGroupWidth(_h_multi);
    }


  private:

    /// @name Histogram helper functions
    /// @{
    void bookHistos(const std::string name, unsigned int index) {
      book(_h[name], index, 1, 1);
      book(_h["norm_" + name],index + 10, 1, 1);
      book(_h["embb_" + name],index, 1, 3);
      book(_h["norm_embb_" + name],index + 10, 1, 3);
    }

    void fillHistos(const std::string name, double value, bool embb) {
      _h[name]->fill(value);
      _h["norm_" + name]->fill(value);
      if (embb) {
        _h["embb_" + name]->fill(value);
        _h["norm_embb_" + name]->fill(value);
      }
    }

    void bookHisto2D(const std::string& name, unsigned int index, const std::vector<double>& massbins) {
      book(_h_multi[name], massbins);
      book(_h_multi[name+"_norm"], massbins);
      book(_h_multi[name+"_embb"], massbins);
      book(_h_multi[name+"_norm_embb"], massbins);
      for (size_t i=1; i < _h_multi[name]->numBins()+1; ++i) {
        book(_h_multi[name]->bin(i), index, 1, i);
        book(_h_multi[name+"_norm"]->bin(i), index+3, 1, i);
        book(_h_multi[name+"_embb"]->bin(i), index, 1, 8+i);
        book(_h_multi[name+"_norm_embb"]->bin(i), index+3, 1, 8+i);
      }
    }



    void fillHisto2D(const std::string& name, double val, double massval, bool embb) {
      _h_multi[name]->fill(massval, val);
      _h_multi[name+"_norm"]->fill(massval, val);
      if (embb) {
        _h_multi[name+"_embb"]->fill(massval, val);
        _h_multi[name+"_norm_embb"]->fill(massval, val);
      }
    }


    // pointers to 1D and 2D histograms
    map<string, Histo1DPtr> _h;
    map<string, Histo1DGroupPtr> _h_multi;
    /// @}
    // acceptance counter

  };

  RIVET_DECLARE_PLUGIN(ATLAS_2025_I2971071);
}