Rivet analyses

Study of the fragmentation of b quarks into B mesons at the Z peak

Experiment: ALEPH (LEP 1)

Inspire ID: 558327

Status: VALIDATED

Authors: - Peter Richardson

References: - Phys.Lett.B512:30-48,2001. - hep-ex/0106051

Beams: e+ e-

Beam energies: (45.6, 45.6)GeV

Run details: - Hadronic Z decay events generated on the Z pole ($\sqrt{s} = 91.2$ GeV)

Measurement of the b-quark fragmentation function by ALEPH using LEP 1 data. The fragmentation function for both weakly decaying and leading b-quarks has been determined. The data used for the plots has been renormalised to give a differential distribution rather than the bin-by-bin average in HEPDATA.

Source code:ALEPH_2001_I558327.cc

// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/Beam.hh"
#include "Rivet/Projections/FinalState.hh"
#include "Rivet/Projections/ChargedFinalState.hh"

namespace Rivet {


  /// @brief DELPHI b-fragmentation measurement
  ///
  /// @author Hendrik Hoeth
  class ALEPH_2001_I558327 : public Analysis {
  public:

    RIVET_DEFAULT_ANALYSIS_CTOR(ALEPH_2001_I558327);



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

    /// Book projections and histograms
    void init() {
      declare(Beam(), "Beams");
      declare(ChargedFinalState(), "FS");
      book(_histXbweak     ,1, 1, 1);
      book(_histXbprim     ,1, 1, 2);
      book(_histMeanXbweak ,7, 1, 1);
      book(_histMeanXbprim ,7, 1, 2);
    }


    /// Analyse each event
    void analyze(const Event& e) {
      const FinalState& fs = apply<FinalState>(e, "FS");
      const size_t numParticles = fs.particles().size();

      // Even if we only generate hadronic events, we still need a cut on numCharged >= 2.
      if (numParticles < 2) {
        MSG_DEBUG("Failed ncharged cut");
        vetoEvent;
      }
      MSG_DEBUG("Passed ncharged cut");

      // Get beams and average beam momentum
      const ParticlePair& beams = apply<Beam>(e, "Beams").beams();
      const double meanBeamMom = ( beams.first.p3().mod() +
                                   beams.second.p3().mod() ) / 2.0;
      MSG_DEBUG("Avg beam momentum = " << meanBeamMom);


      for(ConstGenParticlePtr p : HepMCUtils::particles(e.genEvent())) {
        ConstGenVertexPtr pv = p->production_vertex();
        ConstGenVertexPtr dv = p->end_vertex();
        if (PID::isBottomHadron(p->pdg_id())) {
          const double xp = p->momentum().e()/meanBeamMom;

          // If the B-hadron has a parton as parent, call it primary B-hadron:
          if (pv) {
            bool is_primary = false;
            for (ConstGenParticlePtr pp: HepMCUtils::particles(pv, Relatives::PARENTS)){
              if (isParton(pp->pdg_id())) is_primary = true;
            }
            if (is_primary) {
              _histXbprim->fill(xp);
              _histMeanXbprim->fill(_histMeanXbprim->bin(1).xMid(), xp);
            }
          }

          // If the B-hadron has no B-hadron as a child, it decayed weakly:
          if (dv) {
            bool is_weak = true;
            for (ConstGenParticlePtr pp: HepMCUtils::particles(dv, Relatives::CHILDREN)){
              if (PID::isBottomHadron(pp->pdg_id())) {
                is_weak = false;
              }
            }
            if (is_weak) {
              _histXbweak->fill(xp);
              _histMeanXbweak->fill(_histMeanXbweak->bin(1).xMid(), xp);
            }
          }

        }
      }
    }


    /// Finalize the histograms
    void finalize() {
      normalize(_histXbprim);
      normalize(_histXbweak);
    }

    /// @}


    /// @name Helper functions
    /// @note The PID:: namespace functions would be preferable, but don't have exactly the same behaviour. Preserving the original form.
    /// @{
    bool isParton(int id) { return abs(id) <= 100 && abs(id) != 22 && (abs(id) < 11 || abs(id) > 18); }
    // bool isBHadron(int id) { return ((abs(id)/100)%10 == 5) || (abs(id) >= 5000 && abs(id) <= 5999); }
    /// @}


    /// @name Histograms
    ///
    /// Store the weighted sums of numbers of charged / charged+neutral
    /// particles - used to calculate average number of particles for the
    /// inclusive single particle distributions' normalisations.
    /// @{
    Histo1DPtr _histXbprim;
    Histo1DPtr _histXbweak;
    Profile1DPtr _histMeanXbprim;
    Profile1DPtr _histMeanXbweak;
    /// @}

  };



  RIVET_DECLARE_ALIASED_PLUGIN(ALEPH_2001_I558327, ALEPH_2001_S4656318);

}

Aliases: - ALEPH_2001_S4656318