Rivet analyses referenceBESIII_2022_I2158325Analysis of ψ(2S) decays to Σ−ˉΣ+Experiment: BES (BEPC) Inspire ID: 2158325 Status: VALIDATED NOHEPDATA Authors:
Beam energies: (1.8, 1.8) GeV Run details:
Analysis of the angular distribution of the baryons in e+e−→ψ(2S)→Σ−ˉΣ+. Gives information about the decay and is useful for testing correlations in hadron decays. Source code: BESIII_2022_I2158325.cc 1// -*- C++ -*-
2#include "Rivet/Analysis.hh"
3#include "Rivet/Projections/Beam.hh"
4#include "Rivet/Projections/FinalState.hh"
5#include "Rivet/Projections/UnstableParticles.hh"
6
7namespace Rivet {
8
9
10 /// @brief psi(2s) -> Sigma- sigmabar+
11 class BESIII_2022_I2158325 : public Analysis {
12 public:
13
14 /// Constructor
15 RIVET_DEFAULT_ANALYSIS_CTOR(BESIII_2022_I2158325);
16
17
18 /// @name Analysis methods
19 /// @{
20
21 /// Book histograms and initialise projections before the run
22 void init() {
23
24 // Initialise and register projections
25 declare(Beam(), "Beams");
26 declare(UnstableParticles(Cuts::abspid==3112), "UFS");
27 declare(FinalState(), "FS");
28 // histograms
29 book(_h,1,1,1);
30 }
31
32 void findChildren(const Particle & p,map<long,int> & nRes, int &ncount) {
33 for( const Particle &child : p.children()) {
34 if(child.children().empty()) {
35 nRes[child.pid()]-=1;
36 --ncount;
37 }
38 else
39 findChildren(child,nRes,ncount);
40 }
41 }
42
43 /// Perform the per-event analysis
44 void analyze(const Event& event) {
45 // get the axis, direction of incoming electron
46 const ParticlePair& beams = apply<Beam>(event, "Beams").beams();
47 Vector3 axis;
48 if(beams.first.pid()>0)
49 axis = beams.first .momentum().p3().unit();
50 else
51 axis = beams.second.momentum().p3().unit();
52 // types of final state particles
53 const FinalState& fs = apply<FinalState>(event, "FS");
54 map<long,int> nCount;
55 int ntotal(0);
56 for (const Particle& p : fs.particles()) {
57 nCount[p.pid()] += 1;
58 ++ntotal;
59 }
60 // loop over Sigma+ baryons
61 const UnstableParticles & ufs = apply<UnstableParticles>(event, "UFS");
62 Particle Sigma,SigBar;
63 bool matched(false);
64 for (const Particle& p : ufs.particles()) {
65 if(p.children().empty()) continue;
66 map<long,int> nRes=nCount;
67 int ncount = ntotal;
68 findChildren(p,nRes,ncount);
69 matched=false;
70 // check for antiparticle
71 for (const Particle& p2 : ufs.particles(Cuts::pid==-p.pid())) {
72 if(p2.children().empty()) continue;
73 map<long,int> nRes2=nRes;
74 int ncount2 = ncount;
75 findChildren(p2,nRes2,ncount2);
76 if(ncount2==0) {
77 matched = true;
78 for(auto const & val : nRes2) {
79 if(val.second!=0) {
80 matched = false;
81 break;
82 }
83 }
84 // fond baryon and antibaryon
85 if(matched) {
86 if(p.pid()>0) {
87 Sigma = p;
88 SigBar = p2;
89 }
90 else {
91 Sigma = p2;
92 SigBar = p;
93 }
94 break;
95 }
96 }
97 }
98 if(matched) break;
99 }
100 if(!matched) vetoEvent;
101 _h->fill(axis.dot(Sigma.momentum().p3().unit()));
102 }
103
104 pair<double,pair<double,double> > calcAlpha0(Histo1DPtr hist) {
105 if(hist->numEntries()==0.) return make_pair(0.,make_pair(0.,0.));
106 double d = 3./(pow(hist->xMax(),3)-pow(hist->xMin(),3));
107 double c = 3.*(hist->xMax()-hist->xMin())/(pow(hist->xMax(),3)-pow(hist->xMin(),3));
108 double sum1(0.),sum2(0.),sum3(0.),sum4(0.),sum5(0.);
109 for (const auto& bin : hist->bins() ) {
110 double Oi = bin.sumW();
111 if(Oi==0.) continue;
112 double a = d*(bin.xMax() - bin.xMin());
113 double b = d/3.*(pow(bin.xMax(),3) - pow(bin.xMin(),3));
114 double Ei = bin.errW();
115 sum1 += a*Oi/sqr(Ei);
116 sum2 += b*Oi/sqr(Ei);
117 sum3 += sqr(a)/sqr(Ei);
118 sum4 += sqr(b)/sqr(Ei);
119 sum5 += a*b/sqr(Ei);
120 }
121 // calculate alpha
122 double alpha = (-c*sum1 + sqr(c)*sum2 + sum3 - c*sum5)/(sum1 - c*sum2 + c*sum4 - sum5);
123 // and error
124 double cc = -pow((sum3 + sqr(c)*sum4 - 2*c*sum5),3);
125 double bb = -2*sqr(sum3 + sqr(c)*sum4 - 2*c*sum5)*(sum1 - c*sum2 + c*sum4 - sum5);
126 double aa = sqr(sum1 - c*sum2 + c*sum4 - sum5)*(-sum3 - sqr(c)*sum4 + sqr(sum1 - c*sum2 + c*sum4 - sum5) + 2*c*sum5);
127 double dis = sqr(bb)-4.*aa*cc;
128 if(dis>0.) {
129 dis = sqrt(dis);
130 return make_pair(alpha,make_pair(0.5*(-bb+dis)/aa,-0.5*(-bb-dis)/aa));
131 }
132 else {
133 return make_pair(alpha,make_pair(0.,0.));
134 }
135 }
136
137 /// Normalise histograms etc., after the run
138 void finalize() {
139 normalize(_h);
140 // calculate alpha0
141 pair<double,pair<double,double> > alpha0 = calcAlpha0(_h);
142 Estimate0DPtr _h_alpha0;
143 book(_h_alpha0,2,1,1);
144 _h_alpha0->set(alpha0.first, make_pair(alpha0.second.first,alpha0.second.second));
145 }
146
147 /// @}
148
149
150 /// @name Histograms
151 /// @{
152 Histo1DPtr _h;
153 /// @}
154
155
156 };
157
158
159 RIVET_DECLARE_PLUGIN(BESIII_2022_I2158325);
160
161}
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