Rivet analyses
Leptonic mass moments in B → Xcℓν decays
Experiment: BELLE (KEKB)
Inspire ID: 1917200
Status: VALIDATED
Authors: - Peter Richardson
References: - Phys.Rev.D 104 (2021) 11, 112011
Beams: * *
Beam energies: ANY
Run details: - B meson production in Upsilon(4S) decays
Measurement of leptonic mass moments in B → Xcℓν decays.
Source
code:BELLE_2021_I1917200.cc
// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/UnstableParticles.hh"
namespace Rivet {
/// @brief B -> c l nu moments
class BELLE_2021_I1917200 : public Analysis {
public:
/// Constructor
RIVET_DEFAULT_ANALYSIS_CTOR(BELLE_2021_I1917200);
/// @name Analysis methods
/// @{
/// Book histograms and initialise projections before the run
void init() {
// projections
declare(UnstableParticles(Cuts::abspid==511 || Cuts::abspid==521),"UFS");
// histos
for (unsigned int il=0; il<2; ++il) {
for (unsigned int ix=0; ix<4; ++ix) {
book(_p[il][ix], 4*il+1+ix, 1, 1);
}
for (unsigned int ix=4; ix<8; ++ix) {
book(_p[il][ix], "TMP/p_"+toString(il)+"_"+toString(ix),
refData<YODA::BinnedEstimate<string>>(4*il+1, 1, 1));
}
}
}
void findDecayProducts(const Particle& parent, Particles& em, Particles& ep,
Particles& nue, Particles & nueBar, bool& charm) {
for (const Particle& p : parent.children()) {
if(PID::isCharmHadron(p.pid())) {
charm=true;
}
else if (p.pid() == PID::EMINUS || p.pid()==PID::MUON) {
em.push_back(p);
}
else if (p.pid() == PID::EPLUS || p.pid()==PID::ANTIMUON) {
ep.push_back(p);
}
else if (p.pid() == PID::NU_E || p.pid()==PID::NU_MU) {
nue.push_back(p);
}
else if (p.pid() == PID::NU_EBAR || p.pid()==PID::NU_MUBAR) {
nueBar.push_back(p);
}
else if (PID::isBottomHadron(p.pid())) {
findDecayProducts(p,em,ep,nue,nueBar,charm);
}
else if (!PID::isHadron(p.pid())) {
findDecayProducts(p,em,ep,nue,nueBar,charm);
}
}
}
/// Perform the per-event analysis
void analyze(const Event& event) {
if(_edges.empty()) _edges = _p[0][0]->xEdges();
// find and loop over Upslion(4S)
for (const Particle& p : apply<UnstableParticles>(event, "UFS").particles()) {
if (p.children().empty() || (p.children().size()==1 && p.children()[1].abspid()==p.abspid())) {
continue;
}
// find decay products
bool charm = false;
Particles em,ep,nue,nueBar;
findDecayProducts(p,em,ep,nue,nueBar,charm);
if (!charm) continue;
FourMomentum pl,pnu;
unsigned int il = 0;
if (em.size()==1 && nueBar.size()==1 && em[0].pid()+1==-nueBar[0].pid()) {
pl = em[0].momentum();
pnu = nueBar[0].momentum();
if (em[0].abspid()==13) il=1;
}
else if (ep.size()==1 && nue.size()==1 && nue[0].pid()==-ep[0].pid()+1) {
pl = ep[0].momentum();
pnu = nue[0].momentum();
if(ep[0].abspid()==13) il=1;
}
else {
continue;
}
double q2 = (pl+pnu).mass2();
vector<double> q2n(8);
for (unsigned int ix=0; ix<8; ++ix) q2n[ix] = pow(q2,1+ix);
if (q2<3.0) continue;
double q2cut=3.0;
for (unsigned int ibin=0; ibin<15; ++ibin) {
if (q2>q2cut) {
for(unsigned int ix=0; ix<8; ++ix) {
_p[il][ix]->fill(_edges[ibin],q2n[ix]);
}
}
else {
break;
}
q2cut+=0.5;
}
}
}
/// Normalise histograms etc., after the run
void finalize() {
for (unsigned int il=0; il<2; ++il) {
BinnedEstimatePtr<string> tmp[3];
for (unsigned int ix=0;ix<3;++ix) book(tmp[ix],3*il+9+ix,1,1);
for (unsigned int iy=0;iy<_p[il][0]->numBins();++iy) {
const double N = _p[il][0]->bin(iy+1).effNumEntries();
double q2 = _p[il][0]->bin(iy+1).mean(2), q4 = _p[il][1]->bin(iy+1).mean(2),
q6 = _p[il][2]->bin(iy+1).mean(2), q8 = _p[il][3]->bin(iy+1).mean(2),
q10 = _p[il][4]->bin(iy+1).mean(2), q12 = _p[il][5]->bin(iy+1).mean(2),
q14 = _p[il][6]->bin(iy+1).mean(2), q16 = _p[il][7]->bin(iy+1).mean(2);
// q4 case
if (N <= 9) continue; // q8 needs 8 events + Bessel correction
double value = q4 - sqr(q2);
double error = (-sqr(q4) + 4*sqr(q2)*(-sqr(q2) + 2*q4) - 4*q2*q6 + q8)/N;
tmp[0]->bin(iy+1).set(value,sqrt(error));
// q6 case
if (N <= 13) continue; // q12 needs 12 events + Bessel correction
value = q6 + q2*(2*sqr(q2) - 3*q4);
error = (q12 - sqr(q6) - 6*q2*(q10 - 5*q4*q6) + 3*q4*(3*sqr(q4) - 2*q8) +
sqr(q2)*(-72*sqr(q4) + 36*sqr(q2)*(-sqr(q2) + 3*q4) - 48*q2*q6 + 21*q8))/N;
tmp[1]->bin(iy+1).set(value,sqrt(error));
// q8 case
if (N <= 17) continue; // q16 needs 16 events + Bessel correction
value = q8 + q2*(-3*q2*sqr(q2) + 6*q2*q4 - 4*q6);
error = (q16 - 8*q6*(q10 - 2*q4*q6) - sqr(q8) - 8*q2*(q14 - 3*q4*(q10 - 4*q4*q6) - 6*q6*q8) +
4*sqr(q2)*(7*q12 - 28*sqr(q6) + 6*q2*(-3*q10 + 22*q4*q6) + 3*q4*(12*sqr(q4) - 11*q8) +
3*sqr(q2)*(-12*sqr(q2)*(sqr(q2) - 4*q4) - 51*sqr(q4) - 28*q2*q6 + 13*q8)))/N;
tmp[2]->bin(iy+1).set(value,sqrt(error));
}
}
}
/// @}
/// @name Histograms
/// @{
BinnedProfilePtr<string> _p[2][8];
vector<string> _edges;
/// @}
};
RIVET_DECLARE_PLUGIN(BELLE_2021_I1917200);
}