Rivet Analyses Reference

LHCB_2012_I1208102

Differential cross-sections of Z/γ∗→e+e− vs rapidity and ϕ∗
Experiment: LHCb (LHC)
Inspire ID: 1208102
Status: VALIDATED
Authors:
  • Ana Elena Dumitriu
  • Marek Sirendi
  • David Ward
  • Alex Grecu
References:Beams: p+ p+
Beam energies: (3500.0, 3500.0) GeV
Run details:
  • \mathrm{Z}/\gamma^* \to e^{+}e^{-}_ decays with di-lepton invariant mass >40 GeV/c2 produced in pp collisions at s=7 TeV.

Measurement of the pp→Z0 cross-section in the Z/γ→e+e− mode at s=7 TeV. Daughter electrons are required to have pT>20 GeV/c, 2<η<4.5 and the dielectron invariant mass in range 60-120 GeV/c2. The cross-section is given as a function of Z rapidity and an angular variable (ϕ∗) closely related to Z transverse momentum (derived from the lepton pseudorapidity and azimuthal angle differences). For event generators implementing cross-section QCD corrections only at LO the distributions are normalized to the cross-section measured in data 76.0±0.8±2.0±2.6±0.4 pb, where the first uncertainty is statistical, the second is systematic, the third is due to luminosity uncertainty and the fourth to FSR corrections.

Source code: LHCB_2012_I1208102.cc
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// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/ZFinder.hh"

namespace Rivet {


  /// Differential cross-sections of $\mathrm{Z}/\gamma^* \to e^{+}e^{-}$ vs rapidity and $\phi^*$
  class LHCB_2012_I1208102 : public Analysis {
  public:


    /// Constructor
    LHCB_2012_I1208102()
      : Analysis("LHCB_2012_I1208102")
    {    }


    /// @name Analysis methods
    //@{

    /// Book histograms
    void init() {
      ZFinder zeefinder(FinalState(), Cuts::etaIn(2.0, 4.5) && Cuts::pT > 20*GeV, PID::ELECTRON, 60*GeV, 120*GeV);
      declare(zeefinder, "ZeeFinder");

      book(_h_sigma_vs_y ,2, 1, 1);
      book(_h_sigma_vs_phi ,3, 1, 1);
    }


    /// Do the analysis
    void analyze(const Event& e) {
      const ZFinder& zeefinder = apply<ZFinder>(e, "ZeeFinder");
      if (zeefinder.empty()) vetoEvent;
      if (zeefinder.bosons().size() > 1)
        MSG_WARNING("Found multiple (" << zeefinder.bosons().size() << ") Z -> e+ e- decays!");

      // Z momenta
      const FourMomentum zee = zeefinder.bosons()[0].momentum();

      if (zeefinder.constituents().size() < 2) vetoEvent;

      const Particle pozitron = zeefinder.constituents()[0];
      const Particle electron = zeefinder.constituents()[1];

      // Calculation of the angular variable
      const double diffphi = deltaPhi(pozitron, electron);
      const double diffpsd = deltaEta(pozitron, electron);
      const double accphi = M_PI - diffphi;
      const double angular = tan(accphi/2) / cosh(diffpsd/2);

      // Fill histograms
      _h_sigma_vs_y->fill(zee.rapidity());
      _h_sigma_vs_phi->fill(angular);
    }


    /// Finalize
    void finalize() {
      const double xs = crossSection()/picobarn;
      scale(_h_sigma_vs_y, xs/sumOfWeights());
      scale(_h_sigma_vs_phi, xs/sumOfWeights());
    }

    //@}


  private:

    /// @name Histograms
    //@{
    Histo1DPtr _h_sigma_vs_y, _h_sigma_vs_phi;
    //@}

  };


  // The hook for the plugin system
  RIVET_DECLARE_PLUGIN(LHCB_2012_I1208102);

}

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