Rivet analyses

Measurement of angular distributions in B0 → J/ψK*0

Experiment: BELLE (KEKB)

Inspire ID: 680703

Status: VALIDATED NOHEPDATA

Authors: - Peter Richardson

References: - Phys.Rev.Lett. 95 (2005) 091601

Beams: * *

Beam energies: ANY

Run details: - Any process producing B mesons, orginally Upsilon(4S) decay

Measurement of the K* helicity angle and transversality angles in the charmonium decay for B0 → J/ψK*0. The data were read from Figure 2 in the paper which are background subtracted and corrected for efficiency/acceptance.

Source code:BELLE_2005_I680703.cc

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

namespace Rivet {


  /// @brief B -> K* J/psi
  class BELLE_2005_I680703 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(BELLE_2005_I680703);


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

    /// Book histograms and initialise projections before the run
    void init() {
      // Initialise and register projections
      UnstableParticles ufs = UnstableParticles(Cuts::abspid==511 || Cuts::abspid==521);
      declare(ufs, "UFS");
      // histograms
      for (unsigned int iz=0; iz<3; ++iz) {
        book(_h[iz],1,1,1+iz);
      }
    }

    bool isKstar(int pid) const {
      return pid==313 || pid==323;
    }

    bool isK(int pid) const {
      return pid==130 || pid==310 || pid==311 || pid==321;
    }

    bool isPi(int pid) const {
      return pid==211 || pid==111;
    }

    /// Perform the per-event analysis
    void analyze(const Event& event) {
      UnstableParticles ufs = apply<UnstableParticles>(event, "UFS");
      for(const Particle & B : ufs.particles()) {
        if (B.children().size()!=2) continue;
        Particle jPsi,Kstar;
        if (B.children()[0].pid()==443 && isKstar(B.children()[1].abspid())) {
          jPsi = B.children()[0];
          Kstar = B.children()[1];
        }
        else if(B.children()[1].pid()==443 && isKstar(B.children()[0].abspid())) {
          jPsi = B.children()[1];
          Kstar = B.children()[0];
        }
        else {
          continue;
        }
        if (jPsi.children().size()!=2) continue;
        // find Kstar decay products
        Particle K;
        if (isK (Kstar.children()[0].abspid()) &&
            isPi(Kstar.children()[1].abspid())) {
          K = Kstar.children()[0];
        }
        else if (isK(Kstar.children()[1].abspid()) &&
                 isPi(Kstar.children()[0].abspid())) {
          K = Kstar.children()[1];
        }
        else {
          continue;
        }
        // find jPsi decay products
        Particle oDec;
        if (jPsi.children()[0].pid()==-13 && jPsi.children()[1].pid()== 13) {
          oDec = jPsi.children()[1];
        }
        else if (jPsi.children()[1].pid()==-13 && jPsi.children()[0].pid()== 13) {
          oDec = jPsi.children()[0];
        }
        else if (jPsi.children()[0].pid()==-11 && jPsi.children()[1].pid()== 11) {
          oDec = jPsi.children()[1];
        }
        else if (jPsi.children()[1].pid()==-11 && jPsi.children()[0].pid()== 11) {
          oDec = jPsi.children()[0];
        }
        else {
          continue;
        }
        // boost to B rest frame
        LorentzTransform boost = LorentzTransform::mkFrameTransformFromBeta(B.mom().betaVec());
        FourMomentum pJPsi = boost.transform(jPsi.mom());
        FourMomentum pKstar = boost.transform(Kstar.mom());
        FourMomentum pK     = boost.transform(K    .mom());
        FourMomentum pOdec  = boost.transform(oDec .mom());
        // axes
        Vector3 axisX = pJPsi.p3().unit();
        Vector3 axisY = (pK.p3()-axisX.dot(pK.p3())*axisX).unit();
        Vector3 axisZ = axisX.cross(axisY).unit();
        // kaon helicity angle
        LorentzTransform boostK = LorentzTransform::mkFrameTransformFromBeta(pKstar.betaVec());
        double cosK = -axisX.dot(boostK.transform(pK).p3().unit());
        // transversality angles
        LorentzTransform boostL = LorentzTransform::mkFrameTransformFromBeta(pJPsi.betaVec());
        Vector3 axisL = boostL.transform(pOdec).p3().unit();
        double cosL = axisL.dot(axisZ);
        double phiL = atan2(axisL.dot(axisY),axisL.dot(axisX));
        // fill hists
        _h[0]->fill(cosL);
        _h[1]->fill(phiL);
        _h[2]->fill(cosK);
      }
    }


    /// Normalise histograms etc., after the run
    void finalize() {
      normalize(_h, 1.0, false);
    }

    /// @}


    /// @name Histograms
    /// @{
    Histo1DPtr _h[3];
    /// @}


  };


  RIVET_DECLARE_PLUGIN(BELLE_2005_I680703);

}