Rivet analyses

Helicity angles in B → J/ψK*

Experiment: ARGUS (DORIS)

Inspire ID: 376001

Status: VALIDATED NOHEPDATA

Authors: - Peter Richardson

References: - Phys.Lett.B 340 (1994) 217-220

Beams: * *

Beam energies: ANY

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

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

Source code:ARGUS_1994_I376001.cc

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

namespace Rivet {


  /// @brief B -> J/psi K*
  class ARGUS_1994_I376001 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(ARGUS_1994_I376001);


    /// @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 < 2; ++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);
        // fill hists
        _h[0]->fill(cosL);
        _h[1]->fill(cosK);
      }
    }


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

    /// @}


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


  RIVET_DECLARE_PLUGIN(ARGUS_1994_I376001);

}