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BELLE_2004_I623102

Mass and angular distributions in $B^-\to D^{(*)+}\pi^-\pi^-$
Experiment: BELLE (KEKB)
Inspire ID: 623102
Status: VALIDATED NOHEPDATA
Authors:
  • Peter Richardson
References:
  • Phys.Rev.D 69 (2004) 112002
Beams: * *
Beam energies: ANY
Run details:
  • Any process producing B mesons, originally Upsilon(4S) decays

Mass and angular distributions in $B^-\to D^{(*)+}\pi^-\pi^-$. The data were read from the figures in the paper and the backgrounds given subtracted.

Source code: BELLE_2004_I623102.cc
  1// -*- C++ -*-
  2#include "Rivet/Analysis.hh"
  3#include "Rivet/Projections/UnstableParticles.hh"
  4#include "Rivet/Projections/DecayedParticles.hh"
  5
  6namespace Rivet {
  7
  8
  9  /// @brief B -> D** pi
 10  class BELLE_2004_I623102 : public Analysis {
 11  public:
 12
 13    /// Constructor
 14    RIVET_DEFAULT_ANALYSIS_CTOR(BELLE_2004_I623102);
 15
 16
 17    /// @name Analysis methods
 18    /// @{
 19
 20    /// Book histograms and initialise projections before the run
 21    void init() {
 22      // projections
 23      UnstableParticles ufs = UnstableParticles(Cuts::abspid==521);
 24      declare(ufs, "UFS");
 25      DecayedParticles BP(ufs);
 26      BP.addStable( 411);
 27      BP.addStable(-411);
 28      BP.addStable( 413);
 29      BP.addStable(-413);
 30      declare(BP, "BP");
 31      // histograms
 32      book(_h_mass[0],1,1,1);
 33      book(_h_mass[1],4,1,1);
 34      book(_b_mass,{-1.,-0.67,-0.33,0,0.33,0.67,1.});
 35      for (unsigned int ix=0; ix<6; ++ix) {
 36        book(_b_mass->bin(ix+1), 2, 1, 1+ix);
 37      }
 38      for (unsigned int iy=0; iy<4; ++iy) {
 39        if (iy==0) book(_b_angle[0 ], {0.,5.,5.9,6.2,400});
 40        else       book(_b_angle[iy], {0.,5.76,5.98,6.15,400});
 41        for (unsigned int ix=0; ix<4; ++ix) {
 42          if (iy==0) book(_b_angle[0 ]->bin(ix+1),3, 1,1+ix);
 43          else       book(_b_angle[iy]->bin(ix+1),5,iy,1+ix);
 44        }
 45      }
 46    }
 47
 48
 49    /// Perform the per-event analysis
 50    void analyze(const Event& event) {
 51      DecayedParticles BP = apply<DecayedParticles>(event, "BP");
 52      for (unsigned int ix=0; ix<BP.decaying().size(); ++ix) {
 53      	int sign = BP.decaying()[ix].pid()/BP.decaying()[ix].abspid();
 54        int imode=0;
 55      	if      (sign>0 && BP.modeMatches(ix,3,mode1))   imode=0;
 56      	else if (sign<0 && BP.modeMatches(ix,3,mode1CC)) imode=0;
 57      	else if (sign>0 && BP.modeMatches(ix,3,mode2))   imode=1;
 58      	else if (sign<0 && BP.modeMatches(ix,3,mode2CC)) imode=1;
 59        else continue;
 60        const Particles& pip = BP.decayProducts()[ix].at( sign*211);
 61        const Particle & Dm  = BP.decayProducts()[ix].at(-sign*(411+imode*2))[0];
 62        // find the mnimum Dpi mass
 63        double mDpi[2] = {(Dm.mom()+pip[0].mom()).mass(),
 64                          (Dm.mom()+pip[1].mom()).mass()};
 65        unsigned int iloc=0;
 66        if (mDpi[0]>mDpi[1]) {
 67          iloc=1;
 68          swap(mDpi[0],mDpi[1]);
 69        }
 70        _h_mass[imode]->fill(mDpi[0]);
 71        // compute the helicity angles
 72        LorentzTransform boost1 = LorentzTransform::mkFrameTransformFromBeta(BP.decaying()[ix].mom().betaVec());
 73        // D pi mass and angle
 74        FourMomentum pDpi = Dm.mom()+pip[iloc].mom();
 75        pDpi = boost1.transform(pDpi);
 76        LorentzTransform boost2 = LorentzTransform::mkFrameTransformFromBeta(pDpi.betaVec());
 77        FourMomentum pPi  = boost1.transform(pip[iloc].mom());
 78        FourMomentum pPi3 = boost2.transform(pPi);
 79        double cDpi = -pPi3.p3().unit().dot(pDpi.p3().unit());
 80        // fill histos
 81        if (imode==0) {
 82          _b_mass->fill(cDpi,mDpi[0]);
 83          _b_angle[0]->fill(sqr(mDpi[0]),cDpi);
 84        }
 85        else {
 86          _b_angle[1]->fill(sqr(mDpi[0]),cDpi);
 87          // find the pion from the D* decay
 88          Particle pi2;
 89          if (Dm.children().size()!=2) continue;
 90          if ((Dm.children()[0].pid()==-sign*411 ||
 91               Dm.children()[0].pid()==-sign*411) &&
 92              (Dm.children()[1].pid()==-sign*211 ||
 93               Dm.children()[1].pid()==      111)) {
 94            pi2 = Dm.children()[1];
 95          }
 96          else if ((Dm.children()[1].pid()==-sign*411 ||
 97                    Dm.children()[1].pid()==-sign*411) &&
 98                   (Dm.children()[0].pid()==-sign*211 ||
 99                    Dm.children()[0].pid()==      111)) {
100            pi2 = Dm.children()[0];
101          }
102          else {
103            continue;
104          }
105          FourMomentum pPi2 = boost1.transform(pi2.mom());
106          FourMomentum pDm  = boost1.transform( Dm.mom());
107          Vector3 axis = pDm.p3().unit();
108          Vector3 trans1 = pPi .p3() - pPi .p3().dot(axis)*axis;
109          Vector3 trans2 = pPi2.p3() - pPi2.p3().dot(axis)*axis;
110          const double chi = atan2(trans1.cross(trans2).dot(axis),trans1.dot(trans2));
111          _b_angle[3]->fill(sqr(mDpi[0]),chi);
112          pDm  = boost2.transform(pDm );
113          pPi2 = boost2.transform(pPi2);
114          LorentzTransform boost3 = LorentzTransform::mkFrameTransformFromBeta(pDm.betaVec());
115          pPi2 = boost3.transform(pPi2);
116          const double cTheta = pPi2.p3().unit().dot(pPi3.p3().unit());
117          _b_angle[2]->fill(sqr(mDpi[0]),cTheta);
118        }
119      }
120    }
121
122
123    /// Normalise histograms etc., after the run
124    void finalize() {
125      normalize(_h_mass, 1.0, false);
126      normalize(_b_mass, 1.0, false);
127      normalize(_b_angle, 1.0, false);
128    }
129
130    /// @}
131
132
133    /// @name Histograms
134    /// @{
135    Histo1DPtr _h_mass[2];
136    Histo1DGroupPtr _b_mass, _b_angle[4];
137    const map<PdgId,unsigned int> mode1   = { { 211,2}, {-411,1}};
138    const map<PdgId,unsigned int> mode1CC = { {-211,2}, { 411,1}};
139    const map<PdgId,unsigned int> mode2   = { { 211,2}, {-413,1}};
140    const map<PdgId,unsigned int> mode2CC = { {-211,2}, { 413,1}};
141    /// @}
142  };
143
144
145  RIVET_DECLARE_PLUGIN(BELLE_2004_I623102);
146
147}