Rivet analyses


title: D0_2008_I782968

Isolated $\gamma$ + jet cross-sections, differential in pT($\gamma$) for various $y$ bins

Experiment: D0 (Tevatron Run 2)

Inspire ID: 782968

Status: VALIDATED

Authors: - Andy Buckley - Gavin Hesketh - Frank Siegert

References: - Phys.Lett.B666:435-445,2008 - DOI: 10.1016/j.physletb.2008.06.076 - arXiv: 0804.1107

Beams: p- p+

Beam energies: (980.0, 980.0)GeV

Run details: - Produce only gamma + jet ($q,\bar{q},g$) hard processes (for Pythia 6, this means MSEL=10 and MSUB indices 14, 29 & 115 enabled). The lowest bin edge is at 30 GeV, so a kinematic pTmin cut is probably required to fill the histograms.

The process $p \bar{p}$ -> photon + jet + X as studied by the D0 detector at the Fermilab Tevatron collider at center-of-mass energy $\sqrt{s} = 1.96~\TeV$. Photons are reconstructed in the central rapidity region $|y_\gamma| < 1.0$ with transverse momenta in the range 30--400~GeV, while jets are reconstructed in either the central $|y_\text{jet}| < 0.8$ or forward $1.5 < |y_\text{jet}| < 2.5$ rapidity intervals with $\pT^\text{jet} > 15~\GeV$. The differential cross section $\mathrm{d}^3 \sigma / \mathrm{d}{\pT^\gamma} \mathrm{d}{y_\gamma} \mathrm{d}{y_\text{jet}}$ is measured as a function of $\pT^\gamma$ in four regions, differing by the relative orientations of the photon and the jet. MC predictions have trouble with simultaneously describing the measured normalization and $\pT^\gamma$ dependence of the cross section in any of the four measured regions.

Source code:D0_2008_I782968.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 bins. /// /// @author Andy Buckley /// @author Gavin Hesketh class D0_2008_I782968 : public Analysis { public:

RIVET_DEFAULT_ANALYSIS_CTOR(D0_2008_I782968);


/// @name Analysis methods
/// @{

/// Set up projections and book histograms
void init() {
  // General FS
  FinalState fs;
  declare(fs, "FS");

  // Get leading photon
  LeadingParticlesFinalState photonfs(FinalState((Cuts::etaIn(-1.0, 1.0) && Cuts::pT >= 30.0 * 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::D0ILCONE, 0.7);
  declare(jetpro, "Jets");

  // Histograms
  book(_h_central_same_cross_section, 1, 1, 1);
  book(_h_central_opp_cross_section, 2, 1, 1);
  book(_h_forward_same_cross_section, 3, 1, 1);
  book(_h_forward_opp_cross_section, 4, 1, 1);

  // Ratio histos to be filled by divide()
  book(_h_cen_opp_same, 5, 1, 1);
  book(_h_fwd_opp_same, 8, 1, 1);
  // Ratio histos to be filled manually, since the num/denom inputs don't match
  book(_h_cen_same_fwd_same, 6, 1, 1);
  book(_h_cen_opp_fwd_same, 7, 1, 1);
  book(_h_cen_same_fwd_opp, 9, 1, 1);
  book(_h_cen_opp_fwd_opp, 10, 1, 1);
}


/// Do the 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();

  // Isolate photon by ensuring that a 0.4 cone around it contains less than 7% of the photon's energy
  double egamma = photon.E();
  double eta_P = photon.eta();
  double phi_P = photon.phi();
  double econe = 0.0;
  for (const Particle& p : apply<FinalState>(event, "JetFS").particles()) {
    if (deltaR(eta_P, phi_P, p.eta(), p.phi()) < 0.4) {
      econe += p.E();
      // Veto as soon as E_cone gets larger
      if (econe / egamma > 0.07) {
        MSG_DEBUG("Vetoing event because photon is insufficiently isolated");
        vetoEvent;
      }
    }
  }

  Jets jets = apply<FastJets>(event, "Jets").jetsByPt(Cuts::pT > 15.0 * GeV);
  if (jets.empty()) vetoEvent;

  FourMomentum leadingJet = jets[0].momentum();
  if (deltaR(eta_P, phi_P, leadingJet.eta(), leadingJet.phi()) < 0.7) {
    vetoEvent;
  }

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

  // Veto if leading jet is outside plotted rapidity regions
  const double abs_y1 = fabs(leadingJet.rapidity());
  if (inRange(abs_y1, 0.8, 1.5) || abs_y1 > 2.5) {
    MSG_DEBUG("Leading jet falls outside acceptance range; |y1| = " << abs_y1);
    vetoEvent;
  }

  // Fill histos
  if (fabs(leadingJet.rapidity()) < 0.8) {
    Histo1DPtr h = (photon_jet_sign >= 1) ? _h_central_same_cross_section : _h_central_opp_cross_section;
    h->fill(photon.pT());
  }
  else if (inRange(fabs(leadingJet.rapidity()), 1.5, 2.5)) {
    Histo1DPtr h = (photon_jet_sign >= 1) ? _h_forward_same_cross_section : _h_forward_opp_cross_section;
    h->fill(photon.pT());
  }
}


/// Finalize
void finalize() {
  const double lumi_gen = sumOfWeights() / crossSection() / picobarn;
  const double dy_photon = 2.0;
  const double dy_jet_central = 1.6;
  const double dy_jet_forward = 2.0;

  // Cross-section ratios (6 plots)
  // Central/central and forward/forward ratios
  divide(_h_central_opp_cross_section, _h_central_same_cross_section, _h_cen_opp_same);
  divide(_h_forward_opp_cross_section, _h_forward_same_cross_section, _h_fwd_opp_same);
  // Central/forward ratio combinations
  /// @note The central/forward histo binnings are not the same! Hence the need to do these by hand :-(
  for (size_t i = 1; i < _h_cen_same_fwd_same->numBins() + 1; ++i) {
    const auto& cen_same_bini = _h_central_same_cross_section->bin(i);
    const auto& cen_opp_bini = _h_central_opp_cross_section->bin(i);
    const auto& fwd_same_bini = _h_central_same_cross_section->bin(i);
    const auto& fwd_opp_bini = _h_central_opp_cross_section->bin(i);
    _h_cen_same_fwd_same->bin(i).set(_safediv(cen_same_bini.sumW(), fwd_same_bini.sumW(), 0),
                                     add_quad(cen_same_bini.relErrW(), fwd_same_bini.relErrW()));
    _h_cen_opp_fwd_same->bin(i).set(_safediv(cen_opp_bini.sumW(), fwd_same_bini.sumW(), 0),
                                    add_quad(cen_opp_bini.relErrW(), fwd_same_bini.relErrW()));
    _h_cen_same_fwd_opp->bin(i).set(_safediv(cen_same_bini.sumW(), fwd_opp_bini.sumW(), 0),
                                    add_quad(cen_same_bini.relErrW(), fwd_opp_bini.relErrW()));
    _h_cen_opp_fwd_opp->bin(i).set(_safediv(cen_opp_bini.sumW(), fwd_opp_bini.sumW(), 0),
                                   add_quad(cen_opp_bini.relErrW(), fwd_opp_bini.relErrW()));
  }

  // Use generator cross section for remaining histograms
  // Each of these needs the additional factor 2 because the
  // y_photon * y_jet requirement reduces the corresponding 2D "bin width"
  // by a factor 1/2.
  scale(_h_central_same_cross_section, 2.0 / lumi_gen * 1.0 / dy_photon * 1.0 / dy_jet_central);
  scale(_h_central_opp_cross_section, 2.0 / lumi_gen * 1.0 / dy_photon * 1.0 / dy_jet_central);
  scale(_h_forward_same_cross_section, 2.0 / lumi_gen * 1.0 / dy_photon * 1.0 / dy_jet_forward);
  scale(_h_forward_opp_cross_section, 2.0 / lumi_gen * 1.0 / dy_photon * 1.0 / dy_jet_forward);
}

/// @}

private:

// A local scope function for division, handling the div-by-zero case
/// @todo Why isn't the math divide() function being found?
double _safediv(double a, double b, double result_if_err) {
  return (b != 0) ? a / b : result_if_err;
}

/// @name Histograms
/// @{
Histo1DPtr _h_central_same_cross_section;
Histo1DPtr _h_central_opp_cross_section;
Histo1DPtr _h_forward_same_cross_section;
Histo1DPtr _h_forward_opp_cross_section;

Estimate1DPtr _h_cen_opp_same;
Estimate1DPtr _h_fwd_opp_same;
Estimate1DPtr _h_cen_same_fwd_same;
Estimate1DPtr _h_cen_opp_fwd_same;
Estimate1DPtr _h_cen_same_fwd_opp;
Estimate1DPtr _h_cen_opp_fwd_opp;
/// @}

};

RIVET_DECLARE_ALIASED_PLUGIN(D0_2008_I782968, D0_2008_S7719523);

} ```

Aliases: - D0_2008_S7719523