Rivet analyses

Azimuthal correlations for inclusive 2-jet, 3-jet, and 4-jet events in pp collisions at $\sqrt{s}$ = 13 TeV

Experiment: CMS (LHC)

Inspire ID: 1643640

Status: VALIDATED

Authors: - cms-pag-conveners-smp@cern.ch - Hannes Jung - Paolo Gunnellini - Panos Kokkas

References: - 10.1140/epjc/s10052-018-6033-4 - arxiv:1712.05471 - Expt page: CMS-SMP-16-014

Beams: p+ p+

Beam energies: (6500.0, 6500.0)GeV

Run details: - QCD at $\sqrt{s} = 13~\TeV$

Azimuthal correlations between the two jets with the largest transverse momenta pT in inclusive 2-, 3-, and 4-jet events are presented for several regions of the leading jet pT up to 4 TeV. For 3- and 4-jet scenarios, measurements of the minimum azimuthal angles between any two of the three or four leading pT jets are also presented. The analysis is based on data from proton-proton collisions collected by the CMS Collaboration at a centre-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 35.9 fb−1. Calculations based on leading-order matrix elements supplemented with parton showering and hadronization do not fully describe the data, so next-to-leading-order calculations matched with parton shower and hadronization models are needed to better describe the measured distributions. Furthermore, we show that azimuthal jet correlations are sensitive to details of the parton showering, hadronization, and multiparton interactions. A next-to-leading-order calculation matched with parton showers in the MC@NLO method, as implemented in HERWIG 7, gives a better overall description of the measurements than the POWHEG method.

Source code:CMS_2018_I1643640.cc

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

namespace Rivet {


  /// CMS Azimuthal corellations at 13 TeV
  class CMS_2018_I1643640 : public Analysis {
  public:

    RIVET_DEFAULT_ANALYSIS_CTOR(CMS_2018_I1643640);

    void init() {
      FinalState fs;
      FastJets akt(fs, JetAlg::ANTIKT, 0.4);
      declare(akt, "antikT");

      const vector<double> edges_2J{200., 300., 400., 500., 600., 700., 800., 1000., 1200., 7000.};
      const vector<double> edges{200., 300., 400., 500., 600., 700., 800., 1000., 7000.};
      book(_h_deltaPhi_2J_phi12, edges_2J);
      book(_h_deltaPhi_3J_phi12, edges);
      book(_h_deltaPhi_4J_phi12, edges);
      book(_h_deltaPhi_3J_phimin2J, edges);
      book(_h_deltaPhi_4J_phimin2J, edges);
      for (size_t i=1; i<_h_deltaPhi_2J_phi12->numBins()+1; ++i) {
        book(_h_deltaPhi_2J_phi12->bin(i), i, 1, 1);
        if (i==9)  continue;
        book(_h_deltaPhi_3J_phi12->bin(i), 9+i, 1, 1);
        book(_h_deltaPhi_4J_phi12->bin(i), 17+i, 1, 1);
        book(_h_deltaPhi_3J_phimin2J->bin(i), 25+i, 1, 1);
        book(_h_deltaPhi_4J_phimin2J->bin(i), 33+i, 1, 1);
      }
    }


    void analyze(const Event & event) {
      const Jets& jets = apply<JetFinder>(event, "antikT").jetsByPt();

      // 2 jet case and Delta_phi12
      if( jets.size() >= 2 ) {
        if ( (jets[0].pT() >= 200.*GeV)  &&  (jets[1].pT() >= 100.*GeV) ) {
          if ( (fabs(jets[0].rap()) <= 2.5)  &&  (fabs(jets[1].rap()) <= 2.5) ) {
            double dphi = deltaPhi(jets[0].phi(), jets[1].phi());
            _h_deltaPhi_2J_phi12->fill(jets[0].pT(), dphi);
          }
        }
      }

      // 3 jet case and Delta_phi12
      if ( jets.size() >= 3 ) {
        if ( (jets[0].pT() >= 200.*GeV)  &&  (jets[1].pT() >= 100.*GeV)  && (jets[2].pT() >= 100.*GeV) ) {
          if ( (fabs(jets[0].rap()) <= 2.5)  &&  (fabs(jets[1].rap()) <= 2.5) &&  (fabs(jets[2].rap()) <= 2.5)) {
            double dphi = deltaPhi(jets[0].phi(), jets[1].phi());
            _h_deltaPhi_3J_phi12->fill(jets[0].pT(), dphi);
          }
        }
      }

      // 4 jet case and Delta_phi12
      if ( jets.size() >= 4 ) {
        if ( (jets[0].pT() >= 200.*GeV)  &&  (jets[1].pT() >= 100.*GeV)  && (jets[2].pT() >= 100.*GeV)   && (jets[3].pT() >= 100.*GeV)) {
          if ( (fabs(jets[0].rap()) <= 2.5)  &&  (fabs(jets[1].rap()) <= 2.5) &&  (fabs(jets[2].rap()) <= 2.5) &&  (fabs(jets[3].rap()) <= 2.5)) {
            double dphi = deltaPhi(jets[0].phi(), jets[1].phi());
            _h_deltaPhi_4J_phi12->fill(jets[0].pT(), dphi);
          }
        }
      }

      // 3 jet case and Delta_Phi_min2j
      if ( jets.size() >= 3 ) {
        if ( (jets[0].pT() >= 200.*GeV)  &&  (jets[1].pT() >= 100.*GeV)  && (jets[2].pT() >= 100.*GeV) ) {
          if ( (fabs(jets[0].rap()) <= 2.5)  &&  (fabs(jets[1].rap()) <= 2.5) &&  (fabs(jets[2].rap()) <= 2.5)) {
            double dphi01 = deltaPhi(jets[0].phi(), jets[1].phi());
            if (dphi01 >= PI/2. ){
              double dphi02 = deltaPhi(jets[0].phi(), jets[2].phi());
              double dphi12 = deltaPhi(jets[1].phi(), jets[2].phi());
              // evaluate DPhi2Jmin
              vector<double> Dphis2J{dphi01,dphi02,dphi12};
              double DPhi2Jmin = min(Dphis2J);
              // double Dphis2J[3] = {dphi01,dphi02,dphi12};
              // double DPhi2Jmin = Dphis2J[0];
              // for (int gg=1; gg<3; ++gg) { if (DPhi2Jmin>Dphis2J[gg]) DPhi2Jmin = Dphis2J[gg]; }
              _h_deltaPhi_3J_phimin2J->fill(jets[0].pT(), DPhi2Jmin);
            }
          }
        }
      }

      // 4 jet case and Delta_Phi_min2j
      if ( jets.size() >= 4 ) {
        if ( (jets[0].pT() >= 200.*GeV)  &&  (jets[1].pT() >= 100.*GeV)  && (jets[2].pT() >= 100.*GeV)   && (jets[3].pT() >= 100.*GeV)) {
          if ( (fabs(jets[0].rap()) <= 2.5)  &&  (fabs(jets[1].rap()) <= 2.5) &&  (fabs(jets[2].rap()) <= 2.5) &&  (fabs(jets[3].rap()) <= 2.5)) {
            double dphi01 = deltaPhi(jets[0].phi(), jets[1].phi());
            if (dphi01 >= PI/2.) {
              double dphi02 = deltaPhi(jets[0].phi(), jets[2].phi());
              double dphi03 = deltaPhi(jets[0].phi(), jets[3].phi());
              double dphi12 = deltaPhi(jets[1].phi(), jets[2].phi());
              double dphi13 = deltaPhi(jets[1].phi(), jets[3].phi());
              double dphi23 = deltaPhi(jets[2].phi(), jets[3].phi());
              /// evaluate DPhi2Jmin
              // double Dphis2J[6]={dphi01,dphi02,dphi03,dphi12,dphi13,dphi23};
              // double DPhi2Jmin=Dphis2J[0];
              // for(int gg=1; gg<6; ++gg){ if(DPhi2Jmin>Dphis2J[gg]){DPhi2Jmin=Dphis2J[gg];} }
              vector<double> Dphis2J{dphi01,dphi02,dphi03,dphi12,dphi13,dphi23};
              double DPhi2Jmin = min(Dphis2J);
              _h_deltaPhi_4J_phimin2J->fill(jets[0].pT(), DPhi2Jmin);
            }
          }
        }
      }
    }  // end analyze


    void finalize() {
      normalize(_h_deltaPhi_2J_phi12);
      normalize(_h_deltaPhi_3J_phi12);
      normalize(_h_deltaPhi_4J_phi12);
      normalize(_h_deltaPhi_3J_phimin2J);
      normalize(_h_deltaPhi_4J_phimin2J);
    }


  private:

    Histo1DGroupPtr _h_deltaPhi_2J_phi12;
    Histo1DGroupPtr _h_deltaPhi_3J_phi12;
    Histo1DGroupPtr _h_deltaPhi_4J_phi12;
    Histo1DGroupPtr _h_deltaPhi_3J_phimin2J;
    Histo1DGroupPtr _h_deltaPhi_4J_phimin2J;

  };


  RIVET_DECLARE_PLUGIN(CMS_2018_I1643640);

}