Rivet analyses

Event shapes in e+e collisions at 29 GeV

Experiment: HRS (PEP)

Inspire ID: 201482

Status: VALIDATED

Authors: - Peter Richardson

References: - Phys.Rev. D31 (1985) 1, 1985

Beams: e+ e-

Beam energies: (14.5, 14.5)GeV

Run details: - Hadronic e+e- events at $\sqrt{s} = 29.$ GeV

Measurement of a range of event shapes at 29 GeV by the HRS experiment. The event are seperate into two (S ≤ 0.25, A ≤ 0.1) and jet three(S > 0.25, A ≤ 0.1) jet regions. The mean values of event shapes are not implemented.

Source code:HRS_1985_I201482.cc

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

namespace Rivet {


  /// @brief event shapes at 29 GeV
  class HRS_1985_I201482 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(HRS_1985_I201482);


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

    /// Book histograms and initialise projections before the run
    void init() {

      // Initialise and register projections
      declare(Beam(), "Beams");
      const ChargedFinalState cfs;
      declare(cfs, "FS");
      declare(Sphericity(cfs), "Sphericity");
      const Thrust thrust(cfs);
      declare(thrust, "Thrust");

      // Book histograms
      book(_histSphericity, 1, 1, 1);
      book(_histThrust, 3, 1, 1);
      book(_histThrust2Jet, 4, 1, 1);
      book(_histAplanarity, 6, 1, 1);
      book(_histZ, 10, 1, 1);
      book(_histZ2Jet, 11, 1, 1);
      book(_histZScale, 12, 1, 1);
      book(_histZJet[0], 13, 1, 1);
      book(_histZJet[1], 14, 1, 1);
      book(_histZJet[2], 15, 1, 1);
      book(_histXFeyn, 16, 1, 1);
      book(_histXFeyn2Jet, 17, 1, 1);
      book(_histRap[0], 19, 1, 1);
      book(_histRap[1], 20, 1, 1);
      book(_histPtT, 22, 1, 1);
      book(_histPtT2Jet, 23, 1, 1);
      book(_histPtTIn, 24, 1, 1);
      book(_histPtTOut, 25, 1, 1);
      book(_wSum, "TMP/wSum");
      book(_wSum2, "TMP/wSum2");

      _axes[0] = YODA::Axis<double>({-5.0, -4.0,  -3.5, -3.0,  -2.75, -2.5, -2.3, -2.0, -1.75, -1.5, -1.25,
                                     -1.0, -0.75, -0.5, -0.25, 0.0,   0.25, 0.5,  0.75, 1.0,   1.25, 1.5,
                                     1.75, 2.0,   2.3,  2.5,   2.75,  3.0,  3.5,  4.0,  5.0});
      _axes[1] = YODA::Axis<double>({-4.0, -3.5,  -3.0, -2.75, -2.5, -2.25, -2.0, -1.75, -1.5, -1.25,
                                     -1.0, -0.75, -0.5, -0.25, 0.0,  0.25,  0.5,  0.75,  1.0,  1.25,
                                     1.5,  1.75,  2.0,  2.25,  2.5,  2.75,  3.0,  3.5,   4.0});
    }


    /// Perform the per-event analysis
    void analyze(const Event& event) {
      if (_edges[0].empty()) {
        _edges[0] = _histRap[0]->xEdges();
        _edges[1] = _histRap[1]->xEdges();
      }
      // require 5 charged particles
      const FinalState& fs = apply<FinalState>(event, "FS");
      const size_t numParticles = fs.particles().size();
      if (numParticles < 5) vetoEvent;
      // Get beams and average beam momentum
      const ParticlePair& beams = apply<Beam>(event, "Beams").beams();
      const double meanBeamMom = (beams.first.p3().mod() + beams.second.p3().mod()) / 2.0;
      MSG_DEBUG("Avg beam momentum = " << meanBeamMom);
      // calc thrust and sphericity
      const Thrust& thrust = apply<Thrust>(event, "Thrust");
      Vector3 axis = thrust.thrustAxis();
      const Sphericity& sphericity = apply<Sphericity>(event, "Sphericity");
      // identify two and three jet regions
      bool twoJet = sphericity.sphericity() <= 0.25 && sphericity.aplanarity() <= 0.1;
      //bool threeJet = sphericity.sphericity() >0.25 && sphericity.aplanarity()<=0.1;
      _wSum->fill();
      if (twoJet) _wSum2->fill();
      // basic event shapes
      _histSphericity->fill(sphericity.sphericity());
      _histThrust->fill(thrust.thrust());
      _histAplanarity->fill(sphericity.aplanarity());
      if (twoJet) _histThrust2Jet->fill(thrust.thrust());
      double pTSqIn = 0.;
      double pTSqOut = 0.;
      unsigned int iPlus(0), iMinus(0);
      // single particle  dists
      for (const Particle& p : sortBy(fs.particles(), cmpMomByP)) {
        const double z = p.p3().mod() / meanBeamMom;
        const double momT = axis.dot(p.p3());
        const double xF = fabs(momT) / meanBeamMom;
        const double energy = p.E();
        const double rap = 0.5 * std::log((energy + momT) / (energy - momT));
        const double pTin = dot(p.p3(), thrust.thrustMajorAxis());
        const double pTout = dot(p.p3(), thrust.thrustMinorAxis());
        const double pT2 = sqr(pTin) + sqr(pTout);
        pTSqIn += sqr(dot(p.p3(), sphericity.sphericityMajorAxis()));
        pTSqOut += sqr(dot(p.p3(), sphericity.sphericityMinorAxis()));
        _histZ->fill(z);
        _histZScale->fill(z);
        _histXFeyn->fill(xF, z);
        _histRap[0]->fill(map2string(rap, 0));
        _histPtT->fill(pT2);
        if (twoJet) {
          _histZ2Jet->fill(z);
          _histXFeyn2Jet->fill(xF, z);
          _histRap[1]->fill(map2string(rap, 1));
          _histPtT2Jet->fill(pT2);
          if (momT > 0. && iPlus < 3) {
            _histZJet[iPlus]->fill(z);
            iPlus += 1;
          }
          else if (momT < 0. && iMinus < 3) {
            _histZJet[iMinus]->fill(z);
            iMinus += 1;
          }
        }
      }
      _histPtTIn->fill(pTSqIn / numParticles);
      _histPtTOut->fill(pTSqOut / numParticles);
    }


    /// Normalise histograms etc., after the run
    void finalize() {

      normalize(_histSphericity);
      normalize(_histThrust);
      normalize(_histThrust2Jet);
      normalize(_histAplanarity);
      scale(_histZ, 1. / *_wSum);
      scale(_histZScale, sqr(sqrtS()) * crossSection() / microbarn / sumOfWeights());
      scale(_histXFeyn, 1. / M_PI / *_wSum);
      scale(_histRap[0], 1. / *_wSum);
      scale(_histZ2Jet, 1. / *_wSum2);
      scale(_histXFeyn2Jet, 1. / M_PI / *_wSum2);
      scale(_histRap[1], 1. / *_wSum2);
      scale(_histPtT, 1. / *_wSum);
      scale(_histPtT2Jet, 1. / *_wSum2);
      scale(_histPtTIn, 1. / *_wSum);
      scale(_histPtTOut, 1. / *_wSum);
      for (size_t i = 0; i < 3; ++i) {
        scale(_histZJet[i], 0.5 / *_wSum2);
      }
      for (unsigned int ix = 0; ix < 2; ++ix) {
        for (auto& b : _histRap[ix]->bins()) {
          const size_t idx = b.index();
          b.scaleW(1. / _axes[ix].width(idx));
        }
      }
    }

    /// @}

    string map2string(const double value, const size_t k) const {
      const size_t idx = _axes[k].index(value);
      if (idx && idx <= _edges[k].size()) return _edges[k][idx - 1];
      return "OTHER";
    }


    /// @name Histograms
    /// @{
    Histo1DPtr _histSphericity, _histThrust, _histThrust2Jet, _histAplanarity, _histZ, _histZ2Jet,
        _histZScale, _histXFeyn, _histXFeyn2Jet, _histPtT, _histPtT2Jet, _histPtTIn, _histPtTOut,
        _histZJet[3];
    BinnedHistoPtr<string> _histRap[2];
    CounterPtr _wSum, _wSum2;

    YODA::Axis<double> _axes[2];
    vector<string> _edges[2];

    /// @}
  };


  RIVET_DECLARE_PLUGIN(HRS_1985_I201482);


}