Rivet analyses

ttbar + jets at 13 TeV

Experiment: ATLAS (LHC)

Inspire ID: 1495243

Status: VALIDATED

Authors: - Callie Bertsche - Judith Katzy - Krishna Kulkarni - Christian Gutschow

References: - Eur.Phys.J. C77 (2017) no.4, 220 - DOI: 10.1140/epjc/s10052-017-4766-0 - arXiv: 1610.09978

Beams: p+ p+

Beam energies: (6500.0, 6500.0)GeV

Run details: - p + p -> ttbar (dileptonic, needs high statistics [~2 million] to populate gap fractions).

Measurements of jet activity in top-quark pair events produced in proton–proton collisions are presented, using 3.2 fb$^{-1}$ of $pp$ collision data at a centre-of-mass energy of 13 TeV collected by the ATLAS experiment at the Large Hadron Collider. Events are chosen by requiring an opposite-charge $e\mu$ pair and two $b$-tagged jets in the final state. The normalised differential cross-sections of top-quark pair production are presented as functions of additional-jet multiplicity and transverse momentum, $p_\text{T}$. The fraction of signal events that do not contain additional jet activity in a given rapidity region, the gap fraction, is measured as a function of the $p_\text{T}$ threshold for additional jets, and is also presented for different invariant mass regions of the $e\mu b\bar{b}$ system. All measurements are corrected for detector effects and presented as particle-level distributions compared to predictions with different theoretical approaches for QCD radiation. While the kinematics of the jets from top-quark decays are described well, the generators show differing levels of agreement with the measurements of observables that depend on the production of additional jets.

Source code:ATLAS_2017_I1495243.cc

// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/FastJets.hh"
#include "Rivet/Projections/IdentifiedFinalState.hh"
#include "Rivet/Projections/LeptonFinder.hh"
#include "Rivet/Projections/PromptFinalState.hh"
#include "Rivet/Projections/VetoedFinalState.hh"

namespace Rivet {


  /// @brief $t\bar{t}$ + jets at 13 TeV
  class ATLAS_2017_I1495243 : public Analysis {
  public:

    RIVET_DEFAULT_ANALYSIS_CTOR(ATLAS_2017_I1495243);


    void init() {

      Cut eta_full = Cuts::abseta < 5.0 && Cuts::pT > 1.0 * MeV;
      Cut eta_lep = Cuts::abseta < 2.5;

      // Collect final state particles
      FinalState FS(eta_full);

      // Get photons to dress leptons
      IdentifiedFinalState photons(FS);
      photons.acceptIdPair(PID::PHOTON);

      // Projection to find the electrons
      IdentifiedFinalState el_id(FS);
      el_id.acceptIdPair(PID::ELECTRON);
      PromptFinalState electrons(el_id);
      electrons.acceptTauDecays(false);
      LeptonFinder dressedelectrons(electrons, photons, 0.1, Cuts::abseta < 2.5 && Cuts::pT > 25 * GeV);
      declare(dressedelectrons, "electrons");
      LeptonFinder fulldressedelectrons(electrons, photons, 0.1, eta_full);

      // Projection to find the muons
      IdentifiedFinalState mu_id(FS);
      mu_id.acceptIdPair(PID::MUON);
      PromptFinalState muons(mu_id);
      muons.acceptTauDecays(false);
      LeptonFinder dressedmuons(muons, photons, 0.1, Cuts::abseta < 2.5 && Cuts::pT > 25 * GeV);
      declare(dressedmuons, "muons");
      LeptonFinder fulldressedmuons(muons, photons, 0.1, eta_full);

      // Projection to find neutrinos to exclude from jets
      IdentifiedFinalState nu_id;
      nu_id.acceptNeutrinos();
      PromptFinalState neutrinos(nu_id);
      neutrinos.acceptTauDecays(false);

      // Jet clustering
      VetoedFinalState vfs;
      vfs.addVetoOnThisFinalState(fulldressedelectrons);
      vfs.addVetoOnThisFinalState(fulldressedmuons);
      vfs.addVetoOnThisFinalState(neutrinos);
      FastJets jets(vfs, JetAlg::ANTIKT, 0.4, JetMuons::ALL, JetInvisibles::DECAY);
      declare(jets, "jets");

      // Book Histograms
      book(_h["bjet_pt"], 5, 1, 1);
      book(_h["2bjet_pt"], 6, 1, 1);
      book(_h["ljet_pt"], 7, 1, 1);

      for (size_t i = 0; i < 4; ++i) {
        book(_d["njet" + to_str(i)], i + 1, 1, 1);
        book(_h["Q0" + to_str(i)], "_Q0" + to_str(i + 7),
             refData((i > 1 ? "d" : "d0") + to_str(i + 8) + "-x01-y01"));
        book(_h["MQ0" + to_str(i)], "_MQ0" + to_str(i + 12), refData("d" + to_str(i + 12) + "-x01-y01"));
        book(_h["Qsum" + to_str(i)], "_Qsum" + to_str(i + 16), refData("d" + to_str(i + 16) + "-x01-y01"));
        book(_h["MQsum" + to_str(i)], "_MQsum" + to_str(i + 20), refData("d" + to_str(i + 20) + "-x01-y01"));
        book(_s["gapFracQ0" + to_str(i)], 8 + i, 1, 1);
        book(_s["gapFracMQ0" + to_str(i)], 12 + i, 1, 1);
        book(_s["gapFracQsum" + to_str(i)], 16 + i, 1, 1);
        book(_s["gapFracMQsum" + to_str(i)], 20 + i, 1, 1);
      }
    }


    void analyze(const Event& event) {
      // Get the selected objects, using the projections.
      Jets all_jets = apply<FastJets>(event, "jets").jetsByPt(Cuts::pT > 25 * GeV && Cuts::abseta < 2.5);

      const DressedLeptons electrons = discard(apply<LeptonFinder>(event, "electrons").dressedLeptons(),
                                               [&](const DressedLepton& e) {
                                                 return any(all_jets, deltaRLess(e, 0.4));
                                               });

      const DressedLeptons muons = discard(apply<LeptonFinder>(event, "muons").dressedLeptons(),
                                           [&](const DressedLepton& m) {
                                             return any(all_jets, deltaRLess(m, 0.4));
                                           });

      if (electrons.size() != 1 || muons.size() != 1) vetoEvent;
      if (electrons[0].charge() == muons[0].charge()) vetoEvent;

      Jets bjets, extrajets;
      for (Jet j : all_jets) {
        size_t b_tagged = j.bTags(Cuts::pT > 5 * GeV).size();
        if (bjets.size() < 2 && b_tagged)
          bjets += j;
        else
          extrajets += j;
      }
      if (bjets.size() < 2) vetoEvent;

      double bjetpt = bjets[0].pt();
      if (bjetpt > 250 * GeV) bjetpt = 275 * GeV;
      _h["bjet_pt"]->fill(bjetpt);

      double b2jetpt = bjets[1].pt();
      if (b2jetpt > 150 * GeV) b2jetpt = 175 * GeV;
      _h["2bjet_pt"]->fill(b2jetpt);

      if (extrajets.size()) {
        double ljetpt = extrajets[0].pt();
        if (ljetpt > 250 * GeV) ljetpt = 275 * GeV;
        _h["ljet_pt"]->fill(ljetpt);
      }

      double Memubb =
          (electrons[0].momentum() + muons[0].momentum() + bjets[0].momentum() + bjets[1].momentum()).mass();
      vector<double> leadpt = {0., 0., 0., 0.}, ptsum = {0., 0., 0., 0.};
      vector<size_t> njetcount = {0, 0, 0, 0};
      for (size_t i = 0; i < extrajets.size(); ++i) {
        double absrap = extrajets[i].absrap(), pt = extrajets[i].pT();
        if (pt > 25 * GeV) ++njetcount[0];
        if (pt > 40 * GeV) ++njetcount[1];
        if (pt > 60 * GeV) ++njetcount[2];
        if (pt > 80 * GeV) ++njetcount[3];

        if (absrap < 0.8 && pt > leadpt[0])
          leadpt[0] = pt;
        else if (absrap > 0.8 && absrap < 1.5 && pt > leadpt[1])
          leadpt[1] = pt;
        else if (absrap > 1.5 && absrap < 2.1 && pt > leadpt[2])
          leadpt[2] = pt;
        if (absrap < 2.1 && pt > leadpt[3]) leadpt[3] = pt;

        if (absrap < 0.8)
          ptsum[0] += pt;
        else if (absrap > 0.8 && absrap < 1.5)
          ptsum[1] += pt;
        else if (absrap > 1.5 && absrap < 2.1)
          ptsum[2] += pt;
        if (absrap < 2.1) ptsum[3] += pt;
      }


      for (size_t i = 0; i < 4; ++i) {
        size_t cutoff = i ? 3 : 4;
        if (njetcount[i] > cutoff) njetcount[i] = cutoff;
        _d["njet" + to_str(i)]->fill(discretise(njetcount[i], i));

        if (leadpt[i] > 305 * GeV) leadpt[i] = 305 * GeV;
        _h["Q0" + to_str(i)]->fill(leadpt[i]);

        if (ptsum[i] > 505 * GeV) ptsum[i] = 505 * GeV;
        _h["Qsum" + to_str(i)]->fill(ptsum[i]);
      }


      for (size_t i = 0; i < 4; ++i) {
        if (i == 0 && !(Memubb < 300 * GeV)) continue;
        if (i == 1 && !(Memubb > 300 * GeV && Memubb < 425 * GeV)) continue;
        if (i == 2 && !(Memubb > 425 * GeV && Memubb < 600 * GeV)) continue;
        if (i == 3 && !(Memubb > 600 * GeV)) continue;
        _h["MQ0" + to_str(i)]->fill(leadpt[3]);
        _h["MQsum" + to_str(i)]->fill(ptsum[3]);
      }
    }


    void constructGapFraction(Estimate1DPtr out, Histo1DPtr in) {
      bool hasWeights = in->effNumEntries() != in->numEntries();
      double denW = in->sumW();
      double denW2 = in->sumW2();
      size_t nEnd = out->numBins();

      for (auto& b : out->bins()) {
        double numW = in->sumW(), numW2 = in->sumW2();
        for (size_t j = b.index(); j <= nEnd; ++j) {
          numW -= in->bin(j).sumW();
          numW2 -= in->bin(j).sumW2();
        }
        double yval = safediv(numW, denW);
        double yerr = sqrt(safediv(yval * (1 - yval), denW));
        if (hasWeights) { // use F. James's approximation for weighted events
          yerr = sqrt(safediv((1 - 2 * yval) * numW2 + yval * yval * denW2, denW * denW));
        }
        b.set(yval, yerr);
      }
    }


    void finalize() {

      // Build gap fraction plots
      for (size_t i = 0; i < 4; ++i) {
        constructGapFraction(_s["gapFracQ0" + to_str(i)], _h["Q0" + to_str(i)]);
        constructGapFraction(_s["gapFracMQ0" + to_str(i)], _h["MQ0" + to_str(i)]);
        constructGapFraction(_s["gapFracQsum" + to_str(i)], _h["Qsum" + to_str(i)]);
        constructGapFraction(_s["gapFracMQsum" + to_str(i)], _h["MQsum" + to_str(i)]);
      }

      // Normalize to cross-section
      for (map<string, Histo1DPtr>::iterator hit = _h.begin(); hit != _h.end(); ++hit) {
        if (hit->first.find("jet") != string::npos) normalize(hit->second);
      }
      normalize(_d);
    }

    string discretise(const size_t n, const size_t axis) const {
      if (n == 0) return "0"s;
      if (n == 1) return "1"s;
      if (n == 2) return "2"s;
      if (axis) {
        return ">= 3"s;
      }
      else if (n == 3)
        return "3"s;
      else if (n <= 8)
        return "4.0 - 8.0"s;
      return "OTHER"s;
    }


  private:

    /// @name Histogram helper functions
    map<string, Histo1DPtr> _h;
    map<string, Estimate1DPtr> _s;
    map<string, BinnedHistoPtr<string>> _d;
  };


  RIVET_DECLARE_PLUGIN(ATLAS_2017_I1495243);


}