Rivet analyses

Polarization in D0 → ωϕ

Experiment: BESIII (BEPC)

Inspire ID: 1900094

Status: VALIDATED NOHEPDATA

Authors: - Peter Richardson

References: - Phys.Rev.Lett. 128 (2022) 1, 011803

Beams: * *

Beam energies: ANY

Run details: - Any process producing D0 mesons

Measurement of polarization in the decay D0 → ωϕ by BESIII. Data read from the plots in the paper.

Source code:BESIII_2022_I1900094.cc

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

namespace Rivet {


  /// @brief D0 -> omega phi
  class BESIII_2022_I1900094 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(BESIII_2022_I1900094);


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

    /// Book histograms and initialise projections before the run
    void init() {
      // Initialise and register projections
      declare(UnstableParticles(Cuts::abspid==PID::D0), "UFS");
      for(unsigned int ix=0;ix<2;++ix)
    book(_h[ix],1,1,1+ix);
    }

    void findDecayProducts(const Particle & mother, unsigned int & nstable,
               Particles & pip , Particles & pim , Particles & pi0) {
      for(const Particle & p : mother.children()) {
        int id = p.pid();
        if ( id == PID::KPLUS || id == PID::KMINUS || id == PID::K0S || id == PID::K0L ) {
      ++nstable;
    }
    else if (id == PID::PIPLUS) {
      pip.push_back(p);
      ++nstable;
    }
    else if (id == PID::PIMINUS) {
      pim.push_back(p);
      ++nstable;
    }
    else if (id == PID::PI0) {
      pi0.push_back(p);
      ++nstable;
    }
    else if ( !p.children().empty() ) {
      findDecayProducts(p, nstable, pip, pim, pi0);
    }
    else
      ++nstable;
      }
    }

    /// Perform the per-event analysis
    void analyze(const Event& event) {
      for(const Particle & D0 : apply<UnstableParticles>(event, "UFS").particles()) {
    Particle omega,phi;
    if(D0.children()[0].pid()==PID::OMEGA && D0.children()[1].pid()==PID::PHI) {
      omega = D0.children()[0];
      phi   = D0.children()[1];
    }
    else if(D0.children()[1].pid()==PID::OMEGA && D0.children()[0].pid()==PID::PHI) {
      omega = D0.children()[1];
      phi   = D0.children()[0];
    }
    else
      continue;
    LorentzTransform boost = LorentzTransform::mkFrameTransformFromBeta(D0.momentum().betaVec());
    // first the phi
    if(phi.children().size()==2 &&
       phi.children()[0].abspid()==PID::KPLUS &&
       phi.children()[1].abspid()==PID::KPLUS ) {
      // first boost all relevant momenta to D0 rest frame
      FourMomentum pD0  = boost.transform(D0.momentum());
      FourMomentum pphi = boost.transform(phi.momentum());
      FourMomentum pK   = boost.transform(phi.children()[0].momentum());
      LorentzTransform boost2 = LorentzTransform::mkFrameTransformFromBeta(pphi.betaVec());
      Vector3 axis1 = boost2.transform(pD0).p3().unit();
      Vector3 axis2 = boost2.transform(pK ).p3().unit();
      _h[1]->fill(abs(axis1.dot(axis2)));
    }
    // then the omega
    unsigned int nstable(0);
    Particles pip, pim, pi0;
    findDecayProducts(omega, nstable, pip, pim, pi0);
    if(nstable==3 && pip.size()==1 && pip.size()==1 && pi0.size()==1) {
      FourMomentum pD0    = boost.transform(D0.momentum());
      FourMomentum pomega = boost.transform(omega.momentum() );
      FourMomentum ppip   = boost.transform(pip[0].momentum());
      FourMomentum ppim   = boost.transform(pim[0].momentum());
      LorentzTransform boost2 = LorentzTransform::mkFrameTransformFromBeta(pomega.betaVec());
      Vector3 axis = boost2.transform(pD0).p3().unit();
      Vector3 pp   = boost2.transform(ppip).p3();
      Vector3 pm   = boost2.transform(ppim).p3();
      Vector3 axis2 = pp.cross(pm).unit();
      _h[0]->fill(abs(axis.dot(axis2)));
    }
      }
    }


    /// Normalise histograms etc., after the run
    void finalize() {
      for(unsigned int ix=0;ix<2;++ix) normalize(_h[ix]);
    }

    /// @}


    /// @name Histograms
    /// @{
    Histo1DPtr _h[2];
    /// @}


  };


  RIVET_DECLARE_PLUGIN(BESIII_2022_I1900094);

}