Rivet Analyses Reference

ATLAS_2021_I1913061

b-fragmentation at 13 TeV
Experiment: ATLAS (LHC)
Inspire ID: 1913061
Status: VALIDATED
Authors:
  • Javier Llorente
References:Beams: p+ p+
Beam energies: (6500.0, 6500.0) GeV
Run details:
  • pp interactions at 13000 GeV. Particles with c*tau>10mm are stable.

The fragmentation properties of jets containing $b$-hadrons are studied using charged $B$-mesons in 139 fb$^{-1}$ of $pp$ collisions at $\sqrt{s} = 13$ TeV, recorded with the ATLAS detector at the LHC during the period from 2015 to 2018. The $B$ mesons are reconstructed using the decay of $B^{\pm}$ into $J/\psi K^{\pm}$, with the $J/\psi$ decaying into a pair of muons. Jets are reconstructed using the anti-$k_t$ algorithm with radius parameter $R=0.4$. The measurement determines the longitudinal and transverse momentum profiles of the reconstructed $B$-hadrons with respect to the axes of the jets to which they are geometrically associated. These distributions are measured in intervals of the jet transverse momentum, ranging from 50 GeV to above 100 GeV. The results are corrected for detector effects and compared with several Monte Carlo predictions using different parton shower and hadronisation models. The results for the longitudinal and transverse profiles provide useful inputs to improve the description of heavy-flavour fragmentation in jets.

Source code: ATLAS_2021_I1913061.cc
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// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/FinalState.hh"
#include "Rivet/Projections/PromptFinalState.hh"
#include "Rivet/Projections/DressedLeptons.hh"
#include "Rivet/Projections/VetoedFinalState.hh"
#include "Rivet/Projections/UnstableParticles.hh"
#include "Rivet/Projections/FastJets.hh"

namespace Rivet {

  /// @brief b-fragmentation at 13 TeV
  class ATLAS_2021_I1913061 : public Analysis {

  public:

    /// Default constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(ATLAS_2021_I1913061);

    /// @name Analysis methods
    //@{

    void init() {

      //Jet building: anti-kT R = 0.4, including muons and neutrinos.
      FinalState photons(Cuts::abspid == PID::PHOTON);

      PromptFinalState bare_mu(Cuts::abspid == PID::MUON, true);
      DressedLeptons all_dressed_mu(photons, bare_mu, 0.1, Cuts::abseta < 2.5, true);

      PromptFinalState bare_el(Cuts::abspid == PID::ELECTRON, true);
      DressedLeptons all_dressed_el(photons, bare_el, 0.1, Cuts::abseta < 2.5, true);

      VetoedFinalState vfs(FinalState(Cuts::abseta < 4.5));
      vfs.addVetoOnThisFinalState(all_dressed_el);
      vfs.addVetoOnThisFinalState(all_dressed_mu);
      
      FastJets jets(vfs, FastJets::ANTIKT, 0.4, JetAlg::Muons::ALL, JetAlg::Invisibles::DECAY);
      declare(jets, "JETS");

      //Charged B mesons
      UnstableParticles bpm_fs(Cuts::abspid == 521);
      declare(bpm_fs, "BPM_FS");

      // Book histograms
      book(_h["zFrag_pt01"], 1,1,1);
      book(_h["ptRel_pt01"], 2,1,1);
      book(_h["zFrag_pt02"], 3,1,1);
      book(_h["ptRel_pt02"], 4,1,1);
      book(_h["zFrag_pt03"], 5,1,1);
      book(_h["ptRel_pt03"], 6,1,1);
      book(_p["zFrag"], 7,1,1);
      book(_p["ptRel"], 8,1,1);
    }

    /// Perform the per-event analysis
    void analyze(const Event& event) {
      
      const Jets& jets = apply<FastJets>(event, "JETS").jetsByPt(7*GeV);
      const Particles& bpmFS = apply<UnstableParticles>(event, "BPM_FS").particlesByPt();      

      //Preselect B mesons in J/psi K decay channel
      Particles goodHadrons;

      for (const Particle& p : bpmFS) {

        bool passKaon = 0;
        bool passMuon1 = 0;
        bool passMuon2 = 0;

        const Particles& bDecays = p.children();

        for (const Particle& s : bDecays){
          
          if (s.abspid() == PID::KPLUS && s.pt() > 4*GeV) passKaon = 1;
          if (s.abspid() == PID::JPSI) {

            const Particles& jpsiDecays = s.children();

            for (const Particle& m : jpsiDecays){

              if (m.pid() == PID::ANTIMUON && m.pt() > 6*GeV) passMuon1 = 1;
              if (m.pid() == PID::MUON && m.pt() > 6*GeV) passMuon2 = 1;
            }
          }
        }

        if (passKaon && passMuon1 && passMuon2) goodHadrons += p;
      }
          
      //Preselect jets passing kinematic cuts
      Jets goodJets;
      for (size_t i = 0; i < jets.size(); ++i) {
        if (jets[i].pT() <= 20*GeV) continue;
        if (jets[i].abseta() >= 2.1) continue;
        bool overlaps = false;
        for (size_t j = i + 1; j < jets.size(); ++j) {
          if (jets[j].pT() > 20*GeV && deltaR(jets[i], jets[j]) < 0.8) {
            overlaps = true; break;
          }
        }
        if (!overlaps)  goodJets += jets[i];
      }

      //Associate the jets to the B hadrons.
      for (const Jet& thisJet : goodJets) {

        Particles jetHads;
        for (const Particle& thisHad : goodHadrons) {
          if (deltaR(thisJet, thisHad) < 0.4) jetHads += thisHad;
        }

        if (jetHads.size() == 1){
          const Particle& jetHadron = jetHads[0];

          //Out-of-cone correction for B-decay products
          Vector3 jetVector = momentum3(thisJet); Vector3 jetVector0 = jetVector;
          Vector3 hadronVector = momentum3(jetHadron);
          Vector3 kaonVector; Vector3 muonVector1; Vector3 muonVector2;
          
          const Particles& bDecays = jetHadron.children();
          for (const Particle& s : bDecays){
            
            if (s.abspid() == PID::KPLUS) kaonVector = momentum3(s);
            if (s.abspid() == PID::JPSI) {

              const Particles& jpsiDecays = s.children();

              for (const Particle& m : jpsiDecays){

                if (m.pid() == PID::ANTIMUON && m.pt() > 6*GeV) muonVector1 = momentum3(m);
                if (m.pid() == PID::MUON && m.pt() > 6*GeV) muonVector2 = momentum3(m);
              }
            }
          }

          if (deltaR(muonVector1, jetVector0) > 0.4) jetVector += muonVector1;
          if (deltaR(muonVector2, jetVector0) > 0.4) jetVector += muonVector2;
          if (deltaR(kaonVector, jetVector0) > 0.4) jetVector += kaonVector;

          if (jetVector.perp() <= 30.0*GeV) vetoEvent;
          if (jetVector.abseta() >= 2.1)    vetoEvent;
          if (deltaR(jetVector, hadronVector) >= 0.4)  vetoEvent;

          //Longitudinal and transverse profiles
          double zFrag = hadronVector.dot(jetVector)/jetVector.mod2();
          double ptRel = (hadronVector.cross(jetVector)).mod()/jetVector.mod();
          
          if (jetVector.perp() >= 50*GeV && jetVector.perp() < 70*GeV) {
            if (zFrag <= 0.23) zFrag = 0.24;
            if (zFrag >= 1.00) zFrag = 0.99;
            if (ptRel >= 8.00) ptRel = 7.90; 

            _h["zFrag_pt01"]->fill(zFrag);
            _h["ptRel_pt01"]->fill(ptRel);
          }

          if (jetVector.perp() >= 70*GeV && jetVector.perp() < 100*GeV) {
            if (zFrag <= 0.23) zFrag = 0.24;
            if (zFrag >= 1.00) zFrag = 0.99;
            if (ptRel >= 10.0) ptRel = 9.90;

            _h["zFrag_pt02"]->fill(zFrag);
            _h["ptRel_pt02"]->fill(ptRel);
          }

          if (jetVector.perp() >= 100*GeV) {
            if (zFrag <= 0.16) zFrag = 0.17;
            if (zFrag >= 1.00) zFrag = 0.99;
            if (ptRel >= 14.0) ptRel = 13.9;

            _h["zFrag_pt03"]->fill(zFrag);
            _h["ptRel_pt03"]->fill(ptRel);
          }

          double ptFill = jetVector.perp()/GeV;
          if (ptFill >= 150.)  ptFill = 125.;
		
          // For pTrel, we need to weight the mean by 1/binWidth 
          // (what is being plotted is the mean of the histogram, not the variable!)
          // This doesn't apply to z since all bins have the same width.
          double binWidth = 0.0;
          double transBins[12] = { 0.0, 0.5, 1.0, 1.5, 2.2, 3.0, 4.0, 5.0, 6.5, 8.0, 10.0, 14.0 };

          for (size_t iBin = 0; iBin < 11; ++iBin) {
            if (ptRel >= transBins[iBin] && ptRel < transBins[iBin+1])  binWidth = transBins[iBin+1]-transBins[iBin];
          }

          _p["zFrag"]->fill(ptFill, zFrag);
          _p["ptRel"]->fill(ptFill, ptRel, 1./binWidth);

        }
      }
    }
    
    void finalize() {
      normalize(_h);
    }
    
  private:
  
    //Histograms
    map<string, Histo1DPtr> _h;
    map<string, Profile1DPtr> _p;

  };

  // The hook for the plugin system
  RIVET_DECLARE_PLUGIN(ATLAS_2021_I1913061);
}