Rivet analyses
Mass and angular distributions in B− → D(*)+π−π−
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− → D(*)+π−π−. The data were read from the figures in the paper and the backgrounds given subtracted.
Source
code:BELLE_2004_I623102.cc
// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/UnstableParticles.hh"
#include "Rivet/Projections/DecayedParticles.hh"
namespace Rivet {
/// @brief B -> D** pi
class BELLE_2004_I623102 : public Analysis {
public:
/// Constructor
RIVET_DEFAULT_ANALYSIS_CTOR(BELLE_2004_I623102);
/// @name Analysis methods
/// @{
/// Book histograms and initialise projections before the run
void init() {
// projections
UnstableParticles ufs = UnstableParticles(Cuts::abspid==521);
declare(ufs, "UFS");
DecayedParticles BP(ufs);
BP.addStable( 411);
BP.addStable(-411);
BP.addStable( 413);
BP.addStable(-413);
declare(BP, "BP");
// histograms
book(_h_mass[0],1,1,1);
book(_h_mass[1],4,1,1);
book(_b_mass,{-1.,-0.67,-0.33,0,0.33,0.67,1.});
for (unsigned int ix=0; ix<6; ++ix) {
book(_b_mass->bin(ix+1), 2, 1, 1+ix);
}
for (unsigned int iy=0; iy<4; ++iy) {
if (iy==0) book(_b_angle[0 ], {0.,5.,5.9,6.2,400});
else book(_b_angle[iy], {0.,5.76,5.98,6.15,400});
for (unsigned int ix=0; ix<4; ++ix) {
if (iy==0) book(_b_angle[0 ]->bin(ix+1),3, 1,1+ix);
else book(_b_angle[iy]->bin(ix+1),5,iy,1+ix);
}
}
}
/// Perform the per-event analysis
void analyze(const Event& event) {
DecayedParticles BP = apply<DecayedParticles>(event, "BP");
for (unsigned int ix=0; ix<BP.decaying().size(); ++ix) {
int sign = BP.decaying()[ix].pid()/BP.decaying()[ix].abspid();
int imode=0;
if (sign>0 && BP.modeMatches(ix,3,mode1)) imode=0;
else if (sign<0 && BP.modeMatches(ix,3,mode1CC)) imode=0;
else if (sign>0 && BP.modeMatches(ix,3,mode2)) imode=1;
else if (sign<0 && BP.modeMatches(ix,3,mode2CC)) imode=1;
else continue;
const Particles& pip = BP.decayProducts()[ix].at( sign*211);
const Particle & Dm = BP.decayProducts()[ix].at(-sign*(411+imode*2))[0];
// find the mnimum Dpi mass
double mDpi[2] = {(Dm.mom()+pip[0].mom()).mass(),
(Dm.mom()+pip[1].mom()).mass()};
unsigned int iloc=0;
if (mDpi[0]>mDpi[1]) {
iloc=1;
swap(mDpi[0],mDpi[1]);
}
_h_mass[imode]->fill(mDpi[0]);
// compute the helicity angles
LorentzTransform boost1 = LorentzTransform::mkFrameTransformFromBeta(BP.decaying()[ix].mom().betaVec());
// D pi mass and angle
FourMomentum pDpi = Dm.mom()+pip[iloc].mom();
pDpi = boost1.transform(pDpi);
LorentzTransform boost2 = LorentzTransform::mkFrameTransformFromBeta(pDpi.betaVec());
FourMomentum pPi = boost1.transform(pip[iloc].mom());
FourMomentum pPi3 = boost2.transform(pPi);
double cDpi = -pPi3.p3().unit().dot(pDpi.p3().unit());
// fill histos
if (imode==0) {
_b_mass->fill(cDpi,mDpi[0]);
_b_angle[0]->fill(sqr(mDpi[0]),cDpi);
}
else {
_b_angle[1]->fill(sqr(mDpi[0]),cDpi);
// find the pion from the D* decay
Particle pi2;
if (Dm.children().size()!=2) continue;
if ((Dm.children()[0].pid()==-sign*411 ||
Dm.children()[0].pid()==-sign*411) &&
(Dm.children()[1].pid()==-sign*211 ||
Dm.children()[1].pid()== 111)) {
pi2 = Dm.children()[1];
}
else if ((Dm.children()[1].pid()==-sign*411 ||
Dm.children()[1].pid()==-sign*411) &&
(Dm.children()[0].pid()==-sign*211 ||
Dm.children()[0].pid()== 111)) {
pi2 = Dm.children()[0];
}
else {
continue;
}
FourMomentum pPi2 = boost1.transform(pi2.mom());
FourMomentum pDm = boost1.transform( Dm.mom());
Vector3 axis = pDm.p3().unit();
Vector3 trans1 = pPi .p3() - pPi .p3().dot(axis)*axis;
Vector3 trans2 = pPi2.p3() - pPi2.p3().dot(axis)*axis;
const double chi = atan2(trans1.cross(trans2).dot(axis),trans1.dot(trans2));
_b_angle[3]->fill(sqr(mDpi[0]),chi);
pDm = boost2.transform(pDm );
pPi2 = boost2.transform(pPi2);
LorentzTransform boost3 = LorentzTransform::mkFrameTransformFromBeta(pDm.betaVec());
pPi2 = boost3.transform(pPi2);
const double cTheta = pPi2.p3().unit().dot(pPi3.p3().unit());
_b_angle[2]->fill(sqr(mDpi[0]),cTheta);
}
}
}
/// Normalise histograms etc., after the run
void finalize() {
normalize(_h_mass, 1.0, false);
normalize(_b_mass, 1.0, false);
normalize(_b_angle, 1.0, false);
}
/// @}
/// @name Histograms
/// @{
Histo1DPtr _h_mass[2];
Histo1DGroupPtr _b_mass, _b_angle[4];
const map<PdgId,unsigned int> mode1 = { { 211,2}, {-411,1}};
const map<PdgId,unsigned int> mode1CC = { {-211,2}, { 411,1}};
const map<PdgId,unsigned int> mode2 = { { 211,2}, {-413,1}};
const map<PdgId,unsigned int> mode2CC = { {-211,2}, { 413,1}};
/// @}
};
RIVET_DECLARE_PLUGIN(BELLE_2004_I623102);
}