Rivet analyses

title: ATLAS_2012_I1093738

Isolated prompt photon + jet cross-section

Experiment: ATLAS (LHC)

Inspire ID: 1093738

Status: VALIDATED

Authors: - Giovanni Marchiori

References: - Expt page: ATLAS-STDM-2011-28 - arXiv: 1203.3161

Beams: p+ p+

Beam energies: (3500.0, 3500.0)GeV

Run details: - Inclusive photon+jet+X events at $\sqrt{s} = 7$~TeV.

A measurement of the production cross section for isolated photons in association with jets in $pp$ collisions at $\sqrt{s} = 7$ TeV. Photons with $|\eta|<1.37$ and $E_T>25$~GeV and jets with $|y|<4.4$ and $p_T>20$ GeV are selected. The differential cross section as a function of the photon transverse energy is measured, for three leading jet rapidity configurations, separately for the cases where the photon and jet rapidities have the same or the opposite sign. The measurement uses 37 pb$^{-1}$ of integrated luminosity collected with the ATLAS detector.

Source code:ATLAS_2012_I1093738.cc

```c++ // -- C++ --

include "Rivet/Analysis.hh"

include "Rivet/Projections/FastJets.hh"

include "Rivet/Projections/FinalState.hh"

include "Rivet/Projections/LeadingParticlesFinalState.hh"

include "Rivet/Projections/VetoedFinalState.hh"

namespace Rivet {

/// @brief Measurement of isolated gamma + jet + X differential cross-sections /// /// Inclusive isolated gamma + jet cross-sections, differential in pT(gamma), for /// various photon and jet rapidity configurations. /// /// @author Giovanni Marchiori class ATLAS_2012_I1093738 : public Analysis { public:

// Constructor
ATLAS_2012_I1093738()
    : Analysis("ATLAS_2012_I1093738") { }


// Book histograms and initialise projections before the run
void init() {
  // Final state
  FinalState fs;
  declare(fs, "FS");

  // Voronoi eta-phi tessellation with KT jets, for ambient energy density calculation
  FastJets fj(fs, JetAlg::KT, 0.5);
  fj.useJetArea(new fastjet::AreaDefinition(fastjet::VoronoiAreaSpec()));
  declare(fj, "KtJetsD05");

  // Leading photon
  LeadingParticlesFinalState photonfs(FinalState((Cuts::etaIn(-1.37, 1.37) && Cuts::pT >= 25.0 * GeV)));
  photonfs.addParticleId(PID::PHOTON);
  declare(photonfs, "LeadingPhoton");

  // FS excluding the leading photon
  VetoedFinalState vfs(fs);
  vfs.addVetoOnThisFinalState(photonfs);
  declare(vfs, "JetFS");

  // Jets
  FastJets jetpro(vfs, JetAlg::ANTIKT, 0.4);
  jetpro.useInvisibles();
  declare(jetpro, "Jets");

  book(_h_phbarrel_jetcentral_SS, 1, 1, 1);
  book(_h_phbarrel_jetmedium_SS, 2, 1, 1);
  book(_h_phbarrel_jetforward_SS, 3, 1, 1);

  book(_h_phbarrel_jetcentral_OS, 4, 1, 1);
  book(_h_phbarrel_jetmedium_OS, 5, 1, 1);
  book(_h_phbarrel_jetforward_OS, 6, 1, 1);
}


int getEtaBin(double eta, int what) const {
  const double aeta = fabs(eta);
  if (what == 0) return binIndex(aeta, _eta_bins_ph);
  if (what == 1) return binIndex(aeta, _eta_bins_jet);
  return binIndex(aeta, _eta_bins_areaoffset);
}


// Perform the per-event analysis
void analyze(const Event& event) {

  // Get the photon
  const FinalState& photonfs = apply<FinalState>(event, "LeadingPhoton");
  if (photonfs.particles().size() < 1) vetoEvent;
  const FourMomentum photon = photonfs.particles().front().momentum();

  // Get the jet
  Jets jets = apply<FastJets>(event, "Jets").jetsByPt(Cuts::pT > 20 * GeV);
  if (jets.empty()) vetoEvent;
  FourMomentum leadingJet = jets[0].momentum();

  // Require jet separated from photon
  if (deltaR(photon, leadingJet) < 1.0) vetoEvent;

  // Veto if leading jet is outside plotted rapidity regions
  if (leadingJet.absrap() > 4.4) vetoEvent;

  // Compute the jet pT densities
  vector<vector<double>> ptDensities(_eta_bins_areaoffset.size() - 1);
  FastJets fastjets = apply<FastJets>(event, "KtJetsD05");
  const shared_ptr<fastjet::ClusterSequenceArea> clust_seq_area = fastjets.clusterSeqArea();
  for (const Jet& jet : fastjets.jets()) {
    const double area = clust_seq_area->area(jet); //< Implicit call to pseudojet()
    if (area > 1e-4 && jet.abseta() < _eta_bins_areaoffset.back()) {
      ptDensities.at(getEtaBin(jet.abseta(), 2)) += jet.pT() / area;
    }
  }

  // Compute the median event energy density
  /// @todo This looks equivalent to median(ptDensities[b]) -- isn't SKIPNHARDJETS meant to be used as an offset?
  const unsigned int SKIPNHARDJETS = 0;
  vector<double> ptDensity;
  for (size_t b = 0; b < _eta_bins_areaoffset.size() - 1; b++) {
    double median = 0.0;
    if (ptDensities[b].size() > SKIPNHARDJETS) {
      std::sort(ptDensities[b].begin(), ptDensities[b].end());
      const int nDens = ptDensities[b].size() - SKIPNHARDJETS;
      if (nDens % 2 == 0) {
        median = (ptDensities[b][nDens / 2] + ptDensities[b][(nDens - 2) / 2]) / 2;
      }
      else {
        median = ptDensities[b][(nDens - 1) / 2];
      }
    }
    ptDensity.push_back(median);
  }

  // Compute photon isolation with a standard ET cone
  const Particles fs = apply<FinalState>(event, "JetFS").particles();
  FourMomentum mom_in_EtCone;
  const double ISO_DR = 0.4;
  const double CLUSTER_ETA_WIDTH = 0.25 * 5.0;
  const double CLUSTER_PHI_WIDTH = (PI / 128.) * 7.0;
  for (const Particle& p : fs) {
    // Check if it's in the cone of .4
    if (deltaR(photon, p) >= ISO_DR) continue;
    // Check if it's in the 5x7 central core
    if (fabs(deltaEta(photon, p)) < CLUSTER_ETA_WIDTH * 0.5
        && fabs(deltaPhi(photon, p)) < CLUSTER_PHI_WIDTH * 0.5)
      continue;
    // Increment sum
    mom_in_EtCone += p.momentum();
  }

  // Figure out the correction (area*density)
  const double ETCONE_AREA = PI * ISO_DR * ISO_DR - CLUSTER_ETA_WIDTH * CLUSTER_PHI_WIDTH;
  const double correction = ptDensity[getEtaBin(photon.abseta(), 2)] * ETCONE_AREA;

  // Require photon to be isolated
  if (mom_in_EtCone.Et() - correction > 4.0 * GeV) vetoEvent;

  const int photon_jet_sign = sign(leadingJet.rapidity() * photon.rapidity());

  // Fill histos
  const double abs_jet_rapidity = fabs(leadingJet.rapidity());
  const double photon_pt = photon.pT() / GeV;
  const double abs_photon_eta = fabs(photon.eta());
  if (abs_photon_eta < 1.37) {
    if (abs_jet_rapidity < 1.2) {
      if (photon_jet_sign >= 1) {
        _h_phbarrel_jetcentral_SS->fill(photon_pt);
      }
      else {
        _h_phbarrel_jetcentral_OS->fill(photon_pt);
      }
    }
    else if (abs_jet_rapidity < 2.8) {
      if (photon_jet_sign >= 1) {
        _h_phbarrel_jetmedium_SS->fill(photon_pt);
      }
      else {
        _h_phbarrel_jetmedium_OS->fill(photon_pt);
      }
    }
    else if (abs_jet_rapidity < 4.4) {
      if (photon_jet_sign >= 1) {
        _h_phbarrel_jetforward_SS->fill(photon_pt);
      }
      else {
        _h_phbarrel_jetforward_OS->fill(photon_pt);
      }
    }
  }
}


/// Normalise histograms etc., after the run
void finalize() {
  scale(_h_phbarrel_jetcentral_SS, crossSection() / picobarn / sumOfWeights());
  scale(_h_phbarrel_jetcentral_OS, crossSection() / picobarn / sumOfWeights());
  scale(_h_phbarrel_jetmedium_SS, crossSection() / picobarn / sumOfWeights());
  scale(_h_phbarrel_jetmedium_OS, crossSection() / picobarn / sumOfWeights());
  scale(_h_phbarrel_jetforward_SS, crossSection() / picobarn / sumOfWeights());
  scale(_h_phbarrel_jetforward_OS, crossSection() / picobarn / sumOfWeights());
}

private:

Histo1DPtr _h_phbarrel_jetcentral_SS, _h_phbarrel_jetmedium_SS, _h_phbarrel_jetforward_SS;
Histo1DPtr _h_phbarrel_jetcentral_OS, _h_phbarrel_jetmedium_OS, _h_phbarrel_jetforward_OS;

const vector<double> _eta_bins_ph = {0.0, 1.37, 1.52, 2.37};
const vector<double> _eta_bins_jet = {0.0, 1.2, 2.8, 4.4};
const vector<double> _eta_bins_areaoffset = {0.0, 1.5, 3.0};

};

RIVET_DECLARE_PLUGIN(ATLAS_2012_I1093738);

} ```