Rivet analyses

Measurement of inclusive production of D* mesons both with and without dijet production in DIS collisions (H1)

Experiment: H1 (HERA)

Inspire ID: 736052

Status: VALIDATED

Authors: - Maksim Davydov - Hannes Jung

References: - Eur.Phys.J.C 51 (2007) 271 - DOI: 10.1140/epjc/s10052-007-0296-5 - arXiv: hep-ex/0701023 - DESY-06-240

Beams: e+ p+, p+ e+

Beam energies: (27.5, 920.0); (920.0, 27.5)GeV

Run details: none listed

Inclusive D* production is measured in deep-inelastic ep scattering at HERA with the H1 detector. In addition, the production of dijets in events with a D* meson is investigated. The analysis covers values of photon virtuality 2 < Q2 ≤ 100 GeV2 and of inelasticity 0.05 ≤ y ≤ 0.7. Differential cross sections are measured as a function of Q2 and x and of various D* meson and jet observables.

Source code:H1_2007_I736052.cc

// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/FinalState.hh"
#include "Rivet/Projections/DISFinalState.hh"
#include "Rivet/Projections/FastJets.hh"
#include "Rivet/Projections/DISKinematics.hh"
#include "Rivet/Projections/DISLepton.hh"
#include "Rivet/Projections/UnstableParticles.hh"

namespace Rivet {


  /// @brief Measurement of inclusive production of D* mesons both with and without dijet production in DIS collisions (H1)
  class H1_2007_I736052 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(H1_2007_I736052);


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

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

        declare(DISLepton(), "Lepton");
        declare(DISKinematics(), "Kinematics");

        const FinalState fs;
        declare(fs, "FS");
        const UnstableParticles ufs;
        declare(ufs, "UFS");

        double jet_radius = 1.0;
        const DISFinalState DISfs(DISFrame::BREIT);
        declare(FastJets(DISfs, fastjet::JetAlgorithm::kt_algorithm, fastjet::RecombinationScheme::Et_scheme, jet_radius), "jets_fs");

        Histo1DPtr tmp;
        book(_h["411"], 4, 1, 1);
        book(_h["511"], 5, 1, 1);
        book(_h["611"], 6, 1, 1);
        book(_h["711"], 7, 1, 1);
        book(_h["811"], 8, 1, 1);
        book(_h["911"], 9, 1, 1);
        book(_h_binned["Q2xbj"], {2., 4.22, 10., 17.8, 31.6, 100.},
                                 {"d10-x01-y01", "d11-x01-y01", "d12-x01-y01",
                                  "d13-x01-y01", "d14-x01-y01"});
        book(_h["1511"], 15, 1, 1);
        book(_h["1611"], 16, 1, 1);
        book(_h["1711"], 17, 1, 1);
        book(_h["1811"], 18, 1, 1);
        book(_h["1911"], 19, 1, 1);
        book(_h["2011"], 20, 1, 1);
        book(_h["2111"], 21, 1, 1);
        book(_h["2211"], 22, 1, 1);

        book(_h_binned["Q2phi"], {2., 10., 100.}, {"d23-x01-y01", "d24-x01-y01"});
        book(_h["2511"], 25, 1, 1);
        book(_h["2611"], 26, 1, 1);
        book(_h["2711"], 27, 1, 1);
        book(_h["2811"], 28, 1, 1);
        book(_h_binned["Q2xgam"], {2., 5., 10., 100.}, {"d29-x01-y01", "d29-x01-y02", "d29-x01-y03"});
        book(_h["3011"], 30, 1, 1);
        book(_h_binned["Q2xglue"], {2., 5., 10., 100.}, {"d31-x01-y01", "d31-x01-y02", "d31-x01-y03"});
    }


    /// Perform the per-event analysis
    void analyze(const Event& event) {

        const FinalState& fs = apply<FinalState>(event, "FS");
        const size_t numParticles = fs.particles().size();

        Jets jets_fs = apply<JetFinder>(event, "jets_fs").jetsByPt(); // Jets with cut on eta
        double jet_radius = 1.0;

        const UnstableParticles& ufs = apply<UnstableFinalState>(event, "UFS");

        if (numParticles < 2){
            MSG_DEBUG("Failed leptonic event cut");
            vetoEvent;
        }

        Particles Dstar;
        for(const Particle& p : select(ufs.particles(), Cuts::pT > 1.5*GeV and Cuts::pT < 15*GeV and Cuts::abseta < 1.5 and Cuts::abspid==413)) {
            Dstar.push_back(p);
        }
        if(Dstar.size() == 0){ // Cut on Dstar
            MSG_DEBUG("Failed Dstar cut");
            vetoEvent;
        }

        const DISKinematics& dk = apply<DISKinematics>(event, "Kinematics");
        const DISLepton& dl = apply<DISLepton>(event,"Lepton");


        double Q2 = dk.Q2();
        double y  = dk.y();

        if(y < 0.05 or y > 0.7 or Q2 < 2 or Q2 > 100){ // Cut on event kinematics
            MSG_DEBUG("Failed kinematics cut");
            vetoEvent;
        }

        // Extract the particles other than the lepton
        Particles particles;
        particles.reserve(fs.particles().size());
        ConstGenParticlePtr dislepGP = dl.out().genParticle();
        for (const Particle& p : fs.particles()) {
           ConstGenParticlePtr loopGP = p.genParticle();
           if (loopGP == dislepGP) continue;
           particles.push_back(p);
        }



        const LorentzTransform hcmboost = dk.boostHCM(); // Hadron cm system
        const LorentzTransform breitboost = dk.boostBreit(); //Breit system
        const LorentzTransform labboost = breitboost.inverse(); //Labsystem from Breit

        double xbj  = dk.x();
        double W2 = dk.W2();
        double pT_cm(0);

        _h["411"] -> fill(Q2);
        _h["511"] -> fill(xbj);
        _h["611"] -> fill(std::sqrt(W2));

        _h_binned["Q2xbj"]->fill(Q2, xbj);

        for(const Particle& p : Dstar){
            _h["711"] -> fill(p.pT());
            _h["811"] -> fill(p.eta());
            _h["911"] -> fill((p.E() - p.pz())/(2*y*dk.beamLepton().E()));

            const FourMomentum hcmMom = hcmboost.transform(p.momentum());
            if(pT_cm < hcmMom.pT()) pT_cm = hcmMom.pT();

            if(hcmMom.pT() > 2){              //Cut for 1711 and 1811 histograms
                _h["1711"] -> fill(p.pT());
                _h["1811"] -> fill(p.eta());
            }
        }

        if(pT_cm > 2){
            _h["1511"] -> fill(Q2);
            _h["1611"] -> fill(xbj);
        }

        bool two_jets_with_cut(false);

        Jets jet_cut;

        for(const Jet& j : jets_fs){
            double etalab = labboost.transform(j.momentum()).eta() ;
            if(j.momentum().Et() > 3 and etalab > -1 and etalab < 2.5){  // Cut on jet energy in Breit sys.
                jet_cut.push_back(j);                            }
        }

        if(jet_cut.size() >= 2 && jet_cut[0].momentum().Et() > 4 ) two_jets_with_cut = true;

        double delta_phi;
        FourMomentum jet1;
        FourMomentum jet2;

        Jets jet_DJ, jet_OJ;
        bool found_DJ(false), found_OJ(false);
        //cout << " check D and other jets " << endl;
        if (two_jets_with_cut){
            jet1 = jet_cut[0].momentum(); // momentum of jet #1 in Breit sys.
            jet2 = jet_cut[1].momentum(); // momentum of jet #2 in Breit sys.

            delta_phi = deltaPhi(jet1,jet2);
            _h["1911"] -> fill(Q2);
            _h["2011"] -> fill(xbj);
            _h["2111"] -> fill(jet_cut[0].momentum().Et()/GeV);
            _h["2211"] -> fill(FourMomentum(jet1+jet2).mass()/GeV);  // Jets invariant mass in Breit sys.
            _h_binned["Q2phi"]->fill(Q2, delta_phi);
            for (const Jet& jet : jet_cut) {
                for(const Particle & p : Dstar) {
                    if(deltaR(breitboost.transform(p.momentum()), jet.momentum()) < jet_radius  ) {
                        jet_DJ.push_back(jet);
                        found_DJ = true;
                    }
                    else {
                    jet_OJ.push_back(jet);
                    found_OJ = true;
                    }
                }

               if( found_DJ &&  found_OJ ) break ;
            }
            if(jet_DJ.size()>0 && jet_OJ.size()>0 ) {
                double eta_DJ_breit = jet_DJ[0].momentum().eta();
                double eta_OJ_breit = jet_OJ[0].momentum().eta();

                _h["2511"] -> fill(eta_DJ_breit);
                _h["2611"] -> fill(eta_OJ_breit);
                _h["2711"] -> fill(abs(eta_DJ_breit - eta_OJ_breit));

                double x_gamma, x_gluon;
                double E_star_p_z_star(0); // E() - pz() sum for x_gamma in \gamma p cm
                double E_star_p_z_had(0);

                // for jets in had cms: boost first back to lab and then to hcm
               Jet jet_DJ_hcm, jet_OJ_hcm;
               jet_DJ_hcm = hcmboost.transform(labboost(jet_DJ[0].momentum()));
               jet_OJ_hcm = hcmboost.transform(labboost(jet_OJ[0].momentum()));

               // Need to change sign: by default hcmboost has gamma* in +z dir,
               // and p in -z dir, but here we need: gamma* -in -z and proton in +z.
               // so - -> +: watch out for E-pz -> E+pz  and exp(eta_OJ_hcm) -> exp(-eta_OJ_hcm)
               // this was already noted in  H1_2007_I746380

               double Et_DJ_hcm = jet_DJ_hcm.Et();
               double eta_DJ_hcm = jet_DJ_hcm.eta();
               double Et_OJ_hcm = jet_OJ_hcm.Et();
               double eta_OJ_hcm = jet_OJ_hcm.eta();

                //observed fraction of the photon momentum carried by the parton involved in the hard subprocess

                E_star_p_z_star = jet_DJ_hcm.momentum().E() + jet_DJ_hcm.momentum().pz() + jet_OJ_hcm.momentum().E() + jet_OJ_hcm.momentum().pz();

                for (size_t ip1 = 0; ip1 < particles.size(); ++ip1) {
                  const Particle& p = particles[ip1];
                  E_star_p_z_had += (hcmboost.transform(p.momentum())).E() + (hcmboost.transform(p.momentum())).pz();
                }
                x_gamma = E_star_p_z_star/E_star_p_z_had;
                x_gluon = (Et_OJ_hcm*exp(-eta_OJ_hcm) + Et_DJ_hcm*exp(-eta_DJ_hcm))/(2.*hcmboost.transform(dk.beamHadron().momentum()).E());
                //observed fraction of the proton momentum carried by the gluon

                _h["2811"]->fill(x_gamma);
                _h_binned["Q2xgam"]->fill(Q2, x_gamma);

                _h["3011"]->fill(log10(x_gluon));
                _h_binned["Q2xglue"]->fill(Q2, log10(x_gluon));
            }
        }
    }


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

        const double norm = crossSection()/nanobarn/sumW();
        scale(_h, norm);
        scale(_h_binned, norm);
        divByGroupWidth(_h_binned);

        // new scaling needed, since x bins are in log10(x)
        for (auto& b : _h["3011"]->bins()) {
           const double scale_new = b.xWidth()/pow(10,b.xWidth()) ;
           // jacobian d log10/dx = dlog10 / dlogx dlogx/dx = 2.3026 /x
           const double factor = pow(10,b.xMid())/2.3026;
           b.scaleW(scale_new/factor) ;
        }

        // new scaling needed, since x bins are in log10(x)
        for (auto& histo : _h_binned["Q2xglue"]->bins()) {
           for (auto& b : histo->bins()) {
              const double scale_new = b.xWidth()/pow(10,b.xWidth()) ;
              // jacobian d log10/dx = dlog10 / dlogx dlogx/dx = 2.3026 /x
              const double factor = pow(10,b.xMid())/2.3026;
              b.scaleW(scale_new/factor) ;
           }
        }

    }

    ///@}


    /// @name Histograms
    ///@{
    map<string, Histo1DPtr> _h;
    map<string, Histo1DGroupPtr> _h_binned;
    ///@}


  };


  RIVET_DECLARE_PLUGIN(H1_2007_I736052);

}