Rivet analyses

Jet rates and event shapes at LEP I and II

Experiment: ALEPH (LEP Run 1 and 2)

Inspire ID: 636645

Status: VALIDATED

Authors: - Frank Siegert

References: - Eur.Phys.J.C35:457-486,2004 - DOI: 10.1140/epjc/s2004-01891-4 - http://cdsweb.cern.ch/record/690637/files/ep-2003-084.pdf

Beams: e+ e-

Beam energies: (45.6, 45.6); (66.5, 66.5); (80.5, 80.5); (86.0, 86.0); (91.5, 91.5); (94.5, 94.5); (98.0, 98.0); (100.0, 100.0); (103.0, 103.0)GeV

Run details: - e+e jet jet (+ jets).

Jet rates, event-shape variables and inclusive charged particle spectra are measured in e+e collisions at CMS energies between 91 and 209 GeV. The previously published data at 91.2 GeV and 133 GeV have been re-processed and the higher energy data are presented here for the first time. Note that the data have been corrected to include neutrinos.

Source code:ALEPH_2004_I636645.cc

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

namespace Rivet {


  /// ALEPH jet rates and event shapes at LEP 1 and 2
  class ALEPH_2004_I636645 : public Analysis {
  public:

    RIVET_DEFAULT_ANALYSIS_CTOR(ALEPH_2004_I636645);


    void init() {
      // TODO: According to the paper they seem to discard neutral particles
      //       between 1 and 2 GeV. That correction is included in the systematic
      //       uncertainties and overly complicated to program, so we ignore it.
      const FinalState fs;
      declare(fs, "FS");
      FastJets durhamjets(fs, JetAlg::DURHAM, 0.7, JetMuons::ALL, JetInvisibles::ALL);
      declare(durhamjets, "DurhamJets");

      const Thrust thrust(fs);
      declare(thrust, "Thrust");
      declare(Sphericity(fs), "Sphericity");
      declare(ParisiTensor(fs), "Parisi");
      declare(Hemispheres(thrust), "Hemispheres");

      const ChargedFinalState cfs;
      declare(Beam(), "Beams");
      declare(cfs, "CFS");

      // Histos
      book(_p["mult"], 1, 1, 1);
      book(_p["totaljetbroadening"], 53, 1, 1);
      book(_p["widejetbroadening"], 53, 1, 2);
      book(_p["C"], 53, 1, 3);
      book(_p["rho"], 53, 1, 4);
      book(_p["thrust"], 53, 1, 5);
      size_t ih = 0, ik = 0;
      for (const string& en : _p["mult"].binning().edges<0>()) {
        double eval = stod(en);
        if (isCompatibleWithSqrtS(eval)) _sqs = en;
        // offset for the charged particle distributions
        book(_s[en], "_sumW_" + en);
        book(_c[en], "_weightedTotalChargedPartNum_" + en);

        // event shapes
        if (en != "196.0"s) {
          book(_h[en + "thrust"], ih + 54, 1, 1);
          book(_h[en + "heavyjetmass"], ih + 62, 1, 1);
          book(_h[en + "totaljetbroadening"], ih + 70, 1, 1);
          book(_h[en + "widejetbroadening"], ih + 78, 1, 1);
          book(_h[en + "cparameter"], ih + 86, 1, 1);
          book(_h[en + "thrustmajor"], ih + 94, 1, 1);
          book(_h[en + "thrustminor"], ih + 102, 1, 1);
          book(_h[en + "jetmassdifference"], ih + 110, 1, 1);
          book(_h[en + "aplanarity"], ih + 118, 1, 1);
          book(_h[en + "oblateness"], ih + 133, 1, 1);
          book(_h[en + "sphericity"], ih + 141, 1, 1);
          if (ih) book(_h[en + "planarity"], ih + 125, 1, 1);

          // Durham n->m jet resolutions
          book(_h[en + "y_Durham0"], ih + 149, 1, 1);   // y12 d149 ... d156
          book(_h[en + "y_Durham1"], ih + 157, 1, 1);   // y23 d157 ... d164
          if (ih < 6) {                                 // there is no y34, y45 and y56 for 200 gev
            book(_h[en + "y_Durham2"], ih + 165, 1, 1); // y34 d165 ... d172, but not 171
            book(_h[en + "y_Durham3"], ih + 173, 1, 1); // y45 d173 ... d179
            book(_h[en + "y_Durham4"], ih + 180, 1, 1); // y56 d180 ... d186
          }
          else if (ih == 7) {
            book(_h[en + "y_Durham2"], 172, 1, 1);
            book(_h[en + "y_Durham3"], 179, 1, 1);
            book(_h[en + "y_Durham4"], 186, 1, 1);
          }

          // Durham n-jet fractions
          book(_h[en + "R_Durham0"], ih + 187, 1, 1); // R1 d187 ... d194
          book(_h[en + "R_Durham1"], ih + 195, 1, 1); // R2 d195 ... d202
          book(_h[en + "R_Durham2"], ih + 203, 1, 1); // R3 d203 ... d210
          book(_h[en + "R_Durham3"], ih + 211, 1, 1); // R4 d211 ... d218
          book(_h[en + "R_Durham4"], ih + 219, 1, 1); // R5 d219 ... d226
          book(_h[en + "R_Durham5"], ih + 227, 1, 1); // R>=6 d227 ... d234

          ++ih;
        }
        if (en != "91.2"s) {
          book(_avg[en]["xp"], 2 + ik, 1, 1);
          book(_avg[en]["xi"], 11 + ik, 1, 1);
          book(_avg[en]["xe"], 19 + ik, 1, 1);
          book(_avg[en]["pTin"], 27 + ik, 1, 1);
          if (ik == 7) book(_avg[en]["pTout"], 35, 1, 1);
          book(_avg[en]["rapidityT"], 36 + ik, 1, 1);
          book(_avg[en]["rapidityS"], 44 + ik, 1, 1);
          ++ik;
        }
      }
      raiseBeamErrorIf(_sqs.empty());
    }


    void analyze(const Event& e) {

      _s[_sqs]->fill();
      const Thrust& thrust = apply<Thrust>(e, "Thrust");
      const Sphericity& sphericity = apply<Sphericity>(e, "Sphericity");
      const Hemispheres& hemi = apply<Hemispheres>(e, "Hemispheres");
      _p["thrust"]->fill(_sqs, 1.0 - thrust.thrust());
      _p["totaljetbroadening"]->fill(_sqs, hemi.Bsum());
      _p["widejetbroadening"]->fill(_sqs, hemi.Bmax());
      _p["rho"]->fill(_sqs, hemi.scaledM2high());
      const ParisiTensor& parisi = apply<ParisiTensor>(e, "Parisi");
      _p["C"]->fill(_sqs, parisi.C());

      if (_sqs != "196.0"s) {
        const bool LEP1(_sqs == "91.2"s);
        // event shapes
        const double thr = LEP1 ? thrust.thrust() : 1.0 - thrust.thrust();
        _h[_sqs + "thrust"]->fill(thr);
        _h[_sqs + "thrustmajor"]->fill(thrust.thrustMajor());
        if (LEP1)
          _h[_sqs + "thrustminor"]->fill(log(thrust.thrustMinor()));
        else
          _h[_sqs + "thrustminor"]->fill(thrust.thrustMinor());
        _h[_sqs + "oblateness"]->fill(thrust.oblateness());

        _h[_sqs + "heavyjetmass"]->fill(hemi.scaledM2high());
        _h[_sqs + "jetmassdifference"]->fill(hemi.scaledM2diff());
        _h[_sqs + "totaljetbroadening"]->fill(hemi.Bsum());
        _h[_sqs + "widejetbroadening"]->fill(hemi.Bmax());
        _h[_sqs + "cparameter"]->fill(parisi.C());

        _h[_sqs + "aplanarity"]->fill(sphericity.aplanarity());
        if (!LEP1) _h[_sqs + "planarity"]->fill(sphericity.planarity());
        _h[_sqs + "sphericity"]->fill(sphericity.sphericity());

        // Jet rates
        const FastJets& durjet = apply<FastJets>(e, "DurhamJets");
        double log10e = log10(exp(1.0));
        if (durjet.clusterSeq()) {
          double logynm1 = 0.;
          double logyn;
          for (size_t i = 0; i < 5; ++i) {
            const double yn = durjet.clusterSeq()->exclusive_ymerge_max(i + 1);
            if (yn <= 0.0) continue;
            logyn = -log(yn);
            const string suff = "_Durham" + toString(i);
            if (_h.find(_sqs + "y"s + suff) != _h.end()) {
              _h[_sqs + "y"s + suff]->fill(logyn);
            }
            if (!LEP1) logyn *= log10e;
            for (const auto& b : _h[_sqs + "R"s + suff]->bins()) {
              const double xMin = b.xMin();
              if (-xMin <= logynm1) break;
              if (-xMin < logyn) _h[_sqs + "R"s + suff]->fill(b.xMid(), b.xWidth());
            }
            logynm1 = logyn;
          }
          for (const auto& b : _h[_sqs + "R_Durham5"]->bins()) {
            if (-b.xMin() <= logynm1) break;
            _h[_sqs + "R_Durham5"]->fill(b.xMid(), b.xWidth());
          }
        }
      }

      const ChargedFinalState& cfs = apply<ChargedFinalState>(e, "CFS");
      const size_t numParticles = cfs.particles().size();
      _c[_sqs]->fill(numParticles);

      // charged particle distributions
      if (_sqs != "91.2"s) {
        const ParticlePair& beams = apply<Beam>(e, "Beams").beams();
        const double meanBeamMom = 0.5 * (beams.first.p3().mod() + beams.second.p3().mod());
        for (const Particle& p : cfs.particles()) {
          const double xp = p.p3().mod() / meanBeamMom;
          _avg[_sqs]["xp"]->fill(xp);
          const double logxp = -std::log(xp);
          _avg[_sqs]["xi"]->fill(logxp);
          const double xe = p.E() / meanBeamMom;
          _avg[_sqs]["xe"]->fill(xe);
          const double pTinT = dot(p.p3(), thrust.thrustMajorAxis());
          const double pToutT = dot(p.p3(), thrust.thrustMinorAxis());
          _avg[_sqs]["pTin"]->fill(fabs(pTinT / GeV));
          if (_sqs == "206.0"s) _avg[_sqs]["pTout"]->fill(fabs(pToutT / GeV));
          const double momT = dot(thrust.thrustAxis(), p.p3());
          const double rapidityT = 0.5 * std::log((p.E() + momT) / (p.E() - momT));
          _avg[_sqs]["rapidityT"]->fill(fabs(rapidityT));
          const double momS = dot(sphericity.sphericityAxis(), p.p3());
          const double rapidityS = 0.5 * std::log((p.E() + momS) / (p.E() - momS));
          _avg[_sqs]["rapidityS"]->fill(fabs(rapidityS));
        }
      }
    }

    void finalize() {
      scale(_h, crossSectionPerEvent());
      scale(_c, crossSectionPerEvent());
      scale(_s, crossSectionPerEvent());
      for (auto& item : _h) {
        size_t pos = item.first.find("Durham");
        if (pos != string::npos) {
          const string en = item.first.substr(0, pos - 2);
          scale(item.second, 1.0 / dbl(*_s[en]));
        }
        else {
          normalize(item.second);
        }
      }
      for (const auto& item : _c) {
        const double avgNumParts = dbl(*item.second) / dbl(*_s[item.first]);
        if (!avgNumParts) continue;
        _p["mult"]->fill(item.first, avgNumParts);
        normalize(_avg[item.first], avgNumParts);
      }
    }


  private:

    map<string, BinnedProfilePtr<string>> _p;
    map<string, map<string, Histo1DPtr>> _avg;
    map<string, Histo1DPtr> _h;
    map<string, CounterPtr> _c, _s;
    string _sqs = "";
  };


  RIVET_DECLARE_ALIASED_PLUGIN(ALEPH_2004_I636645, ALEPH_2004_S5765862);

}

Aliases: - ALEPH_2004_S5765862