1 | /** \class TrackSmearing
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2 | *
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3 | * Performs d0, dZ, p, Theta, Phi smearing of tracks.
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4 | *
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5 | * \authors A. Hart, M. Selvaggi
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6 | *
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7 | */
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8 |
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9 | #include "modules/TrackSmearing.h"
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10 |
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11 | #include "classes/DelphesClasses.h"
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12 | #include "classes/DelphesFactory.h"
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13 | #include "classes/DelphesFormula.h"
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14 |
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15 | #include "ExRootAnalysis/ExRootClassifier.h"
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16 | #include "ExRootAnalysis/ExRootFilter.h"
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17 | #include "ExRootAnalysis/ExRootResult.h"
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18 |
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19 | #include "TDatabasePDG.h"
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20 | #include "TFile.h"
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21 | #include "TFormula.h"
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22 | #include "TLorentzVector.h"
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23 | #include "TMath.h"
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24 | #include "TObjArray.h"
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25 | #include "TProfile2D.h"
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26 | #include "TRandom3.h"
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27 | #include "TString.h"
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28 |
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29 | #include <algorithm>
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30 | #include <iostream>
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31 | #include <sstream>
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32 | #include <stdexcept>
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33 |
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34 | using namespace std;
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35 |
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36 | //------------------------------------------------------------------------------
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37 |
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38 | TrackSmearing::TrackSmearing() :
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39 | fD0Formula(0), fDZFormula(0), fPFormula(0), fCtgThetaFormula(0), fPhiFormula(0), fItInputArray(0)
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40 | {
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41 | fD0Formula = new DelphesFormula;
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42 | fDZFormula = new DelphesFormula;
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43 | fPFormula = new DelphesFormula;
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44 | fCtgThetaFormula = new DelphesFormula;
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45 | fPhiFormula = new DelphesFormula;
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46 | }
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47 |
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48 | //------------------------------------------------------------------------------
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49 |
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50 | TrackSmearing::~TrackSmearing()
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51 | {
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52 | if(fD0Formula) delete fD0Formula;
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53 | if(fDZFormula) delete fDZFormula;
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54 | if(fPFormula) delete fPFormula;
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55 | if(fCtgThetaFormula) delete fCtgThetaFormula;
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56 | if(fPhiFormula) delete fPhiFormula;
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57 | }
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58 |
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59 | //------------------------------------------------------------------------------
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60 |
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61 | void TrackSmearing::Init()
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62 | {
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63 | fBz = GetDouble("Bz", 0.0);
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64 |
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65 | // read resolution formula
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66 |
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67 | // !!! IF WE WANT TO KEEP ROOT INPUT !!!
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68 | if(string(GetString("D0ResolutionFormula", "0.0")) != "0.0")
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69 | {
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70 | fD0Formula->Compile(GetString("D0ResolutionFormula", "0.0"));
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71 | fUseD0Formula = true;
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72 | }
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73 | else
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74 | {
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75 | fD0ResolutionFile = GetString("D0ResolutionFile", "errors.root");
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76 | fD0ResolutionHist = GetString("D0ResolutionHist", "d0");
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77 | fUseD0Formula = false;
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78 | }
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79 | if(string(GetString("DZResolutionFormula", "0.0")) != "0.0")
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80 | {
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81 | fDZFormula->Compile(GetString("DZResolutionFormula", "0.0"));
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82 | fUseDZFormula = true;
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83 | }
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84 | else
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85 | {
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86 | fDZResolutionFile = GetString("DZResolutionFile", "errors.root");
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87 | fDZResolutionHist = GetString("DZResolutionHist", "dz");
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88 | fUseDZFormula = false;
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89 | }
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90 | if(string(GetString("PResolutionFormula", "0.0")) != "0.0")
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91 | {
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92 | fPFormula->Compile(GetString("PResolutionFormula", "0.0"));
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93 | fUsePFormula = true;
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94 | }
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95 | else
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96 | {
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97 | fPResolutionFile = GetString("PResolutionFile", "errors.root");
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98 | fPResolutionHist = GetString("PResolutionHist", "p");
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99 | fUsePFormula = false;
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100 | }
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101 | if(string(GetString("CtgThetaResolutionFormula", "0.0")) != "0.0")
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102 | {
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103 | fCtgThetaFormula->Compile(GetString("CtgThetaResolutionFormula", "0.0"));
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104 | fUseCtgThetaFormula = true;
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105 | }
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106 | else
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107 | {
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108 | fCtgThetaResolutionFile = GetString("CtgThetaResolutionFile", "errors.root");
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109 | fCtgThetaResolutionHist = GetString("CtgThetaResolutionHist", "ctgTheta");
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110 | fUseCtgThetaFormula = false;
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111 | }
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112 | if(string(GetString("PhiResolutionFormula", "0.0")) != "0.0")
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113 | {
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114 | fPhiFormula->Compile(GetString("PhiResolutionFormula", "0.0"));
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115 | fUsePhiFormula = true;
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116 | }
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117 | else
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118 | {
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119 | fPhiResolutionFile = GetString("PhiResolutionFile", "errors.root");
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120 | fPhiResolutionHist = GetString("PhiResolutionHist", "phi");
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121 | fUsePhiFormula = false;
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122 | }
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123 |
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124 | fApplyToPileUp = GetBool("ApplyToPileUp", true);
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125 |
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126 | // import input array
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127 |
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128 | fInputArray = ImportArray(GetString("InputArray", "ParticlePropagator/stableParticles"));
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129 | fItInputArray = fInputArray->MakeIterator();
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130 |
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131 | // import beamspot
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132 | try
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133 | {
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134 | fBeamSpotInputArray = ImportArray(GetString("BeamSpotInputArray", "BeamSpotFilter/beamSpotParticle"));
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135 | }
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136 | catch(runtime_error &e)
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137 | {
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138 | fBeamSpotInputArray = 0;
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139 | }
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140 |
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141 | // create output array
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142 |
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143 | fOutputArray = ExportArray(GetString("OutputArray", "stableParticles"));
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144 | }
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145 |
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146 | //------------------------------------------------------------------------------
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147 |
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148 | void TrackSmearing::Finish()
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149 | {
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150 | if(fItInputArray) delete fItInputArray;
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151 | }
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152 |
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153 | //------------------------------------------------------------------------------
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154 |
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155 | void TrackSmearing::Process()
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156 | {
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157 | Int_t iCandidate = 0;
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158 | TLorentzVector beamSpotPosition;
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159 | Candidate *candidate, *mother;
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160 | Double_t pt, eta, e, d0, d0Error, trueD0, dz, dzError, trueDZ, p, pError, trueP, ctgTheta, ctgThetaError, trueCtgTheta, phi, phiError, truePhi;
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161 | Double_t x, y, z, t, px, py, pz, theta;
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162 | Double_t q, r;
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163 | Double_t x_c, y_c, r_c, phi_0;
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164 | Double_t rcu, rc2, xd, yd, zd;
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165 | const Double_t c_light = 2.99792458E8;
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166 | TProfile2D *d0ErrorHist = NULL,
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167 | *dzErrorHist = NULL,
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168 | *pErrorHist = NULL,
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169 | *ctgThetaErrorHist = NULL,
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170 | *phiErrorHist = NULL;
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171 |
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172 | if(!fBeamSpotInputArray || fBeamSpotInputArray->GetSize() == 0)
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173 | beamSpotPosition.SetXYZT(0.0, 0.0, 0.0, 0.0);
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174 | else
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175 | {
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176 | Candidate &beamSpotCandidate = *((Candidate *)fBeamSpotInputArray->At(0));
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177 | beamSpotPosition = beamSpotCandidate.Position;
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178 | }
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179 |
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180 | if(!fUseD0Formula)
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181 | {
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182 | TFile *fin = TFile::Open(fD0ResolutionFile.c_str());
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183 | d0ErrorHist = (TProfile2D *)fin->Get(fD0ResolutionHist.c_str());
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184 | d0ErrorHist->SetDirectory(0);
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185 | fin->Close();
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186 | }
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187 | if(!fUseDZFormula)
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188 | {
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189 | TFile *fin = TFile::Open(fDZResolutionFile.c_str());
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190 | dzErrorHist = (TProfile2D *)fin->Get(fDZResolutionHist.c_str());
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191 | dzErrorHist->SetDirectory(0);
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192 | fin->Close();
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193 | }
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194 | if(!fUsePFormula)
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195 | {
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196 | TFile *fin = TFile::Open(fPResolutionFile.c_str());
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197 | pErrorHist = (TProfile2D *)fin->Get(fPResolutionHist.c_str());
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198 | pErrorHist->SetDirectory(0);
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199 | fin->Close();
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200 | }
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201 | if(!fUseCtgThetaFormula)
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202 | {
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203 | TFile *fin = TFile::Open(fCtgThetaResolutionFile.c_str());
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204 | ctgThetaErrorHist = (TProfile2D *)fin->Get(fCtgThetaResolutionHist.c_str());
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205 | ctgThetaErrorHist->SetDirectory(0);
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206 | fin->Close();
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207 | }
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208 | if(!fUsePhiFormula)
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209 | {
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210 | TFile *fin = TFile::Open(fPhiResolutionFile.c_str());
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211 | phiErrorHist = (TProfile2D *)fin->Get(fPhiResolutionHist.c_str());
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212 | phiErrorHist->SetDirectory(0);
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213 | fin->Close();
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214 | }
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215 |
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216 | fItInputArray->Reset();
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217 | while((candidate = static_cast<Candidate *>(fItInputArray->Next())))
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218 | {
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219 |
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220 | const TLorentzVector &momentum = candidate->Momentum;
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221 | const TLorentzVector &position = candidate->InitialPosition;
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222 |
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223 | pt = momentum.Pt();
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224 | eta = momentum.Eta();
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225 | e = momentum.E();
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226 |
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227 | d0 = trueD0 = candidate->D0;
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228 | dz = trueDZ = candidate->DZ;
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229 |
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230 | p = trueP = candidate->P;
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231 | ctgTheta = trueCtgTheta = candidate->CtgTheta;
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232 | phi = truePhi = candidate->Phi;
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233 |
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234 | if(fUseD0Formula)
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235 | d0Error = fD0Formula->Eval(pt, eta, phi, e, candidate);
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236 | else
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237 | {
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238 | Int_t xbin, ybin;
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239 |
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240 | xbin = pt < d0ErrorHist->GetXaxis()->GetXmax() ? d0ErrorHist->GetXaxis()->FindBin(pt) : d0ErrorHist->GetXaxis()->GetBinCenter(d0ErrorHist->GetXaxis()->GetNbins());
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241 | ybin = d0ErrorHist->GetYaxis()->FindBin(TMath::Abs(eta));
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242 | d0Error = d0ErrorHist->GetBinContent(xbin, ybin);
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243 | if(!d0Error)
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244 | d0Error = -1.0;
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245 | }
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246 | if(d0Error < 0.0)
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247 | continue;
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248 |
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249 | if(fUseDZFormula)
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250 | dzError = fDZFormula->Eval(pt, eta, phi, e, candidate);
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251 | else
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252 | {
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253 | Int_t xbin, ybin;
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254 |
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255 | xbin = pt < dzErrorHist->GetXaxis()->GetXmax() ? dzErrorHist->GetXaxis()->FindBin(pt) : dzErrorHist->GetXaxis()->GetBinCenter(dzErrorHist->GetXaxis()->GetNbins());
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256 | ybin = dzErrorHist->GetYaxis()->FindBin(TMath::Abs(eta));
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257 | dzError = dzErrorHist->GetBinContent(xbin, ybin);
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258 | if(!dzError)
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259 | dzError = -1.0;
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260 | }
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261 | if(dzError < 0.0)
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262 | continue;
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263 |
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264 | if(fUsePFormula)
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265 | pError = fPFormula->Eval(pt, eta, phi, e, candidate) * p;
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266 | else
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267 | {
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268 | Int_t xbin, ybin;
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269 |
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270 | xbin = pt < pErrorHist->GetXaxis()->GetXmax() ? pErrorHist->GetXaxis()->FindBin(pt) : pErrorHist->GetXaxis()->GetBinCenter(pErrorHist->GetXaxis()->GetNbins());
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271 | ybin = pErrorHist->GetYaxis()->FindBin(TMath::Abs(eta));
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272 | pError = pErrorHist->GetBinContent(xbin, ybin) * p;
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273 | if(!pError)
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274 | pError = -1.0;
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275 | }
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276 | if(pError < 0.0)
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277 | continue;
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278 |
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279 | if(fUseCtgThetaFormula)
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280 | ctgThetaError = fCtgThetaFormula->Eval(pt, eta, phi, e, candidate);
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281 | else
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282 | {
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283 | Int_t xbin, ybin;
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284 |
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285 | xbin = pt < ctgThetaErrorHist->GetXaxis()->GetXmax() ? ctgThetaErrorHist->GetXaxis()->FindBin(pt) : ctgThetaErrorHist->GetXaxis()->GetBinCenter(ctgThetaErrorHist->GetXaxis()->GetNbins());
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286 | ybin = ctgThetaErrorHist->GetYaxis()->FindBin(TMath::Abs(eta));
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287 | ctgThetaError = ctgThetaErrorHist->GetBinContent(xbin, ybin);
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288 | if(!ctgThetaError)
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289 | ctgThetaError = -1.0;
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290 | }
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291 | if(ctgThetaError < 0.0)
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292 | continue;
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293 |
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294 | if(fUsePhiFormula)
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295 | phiError = fPhiFormula->Eval(pt, eta, phi, e, candidate);
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296 | else
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297 | {
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298 | Int_t xbin, ybin;
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299 |
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300 | xbin = pt < phiErrorHist->GetXaxis()->GetXmax() ? phiErrorHist->GetXaxis()->FindBin(pt) : phiErrorHist->GetXaxis()->GetBinCenter(phiErrorHist->GetXaxis()->GetNbins());
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301 | ybin = phiErrorHist->GetYaxis()->FindBin(TMath::Abs(eta));
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302 | phiError = phiErrorHist->GetBinContent(xbin, ybin);
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303 | if(!phiError)
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304 | phiError = -1.0;
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305 | }
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306 | if(phiError < 0.0)
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307 | continue;
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308 |
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309 | if(fApplyToPileUp || !candidate->IsPU)
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310 | {
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311 | d0 = gRandom->Gaus(d0, d0Error);
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312 | dz = gRandom->Gaus(dz, dzError);
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313 | p = gRandom->Gaus(p, pError);
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314 | ctgTheta = gRandom->Gaus(ctgTheta, ctgThetaError);
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315 | phi = gRandom->Gaus(phi, phiError);
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316 | }
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317 |
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318 | if(p < 0.0) continue;
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319 | while(phi > TMath::Pi()) phi -= TMath::TwoPi();
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320 | while(phi <= -TMath::Pi()) phi += TMath::TwoPi();
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321 |
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322 | mother = candidate;
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323 | candidate = static_cast<Candidate *>(candidate->Clone());
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324 | candidate->D0 = d0;
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325 | candidate->DZ = dz;
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326 | candidate->P = p;
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327 | candidate->CtgTheta = ctgTheta;
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328 | candidate->Phi = phi;
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329 |
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330 | theta = TMath::ACos(ctgTheta / TMath::Sqrt(1.0 + ctgTheta * ctgTheta));
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331 | candidate->Momentum.SetPx(p * TMath::Cos(phi) * TMath::Sin(theta));
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332 | candidate->Momentum.SetPy(p * TMath::Sin(phi) * TMath::Sin(theta));
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333 | candidate->Momentum.SetPz(p * TMath::Cos(theta));
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334 | candidate->Momentum.SetE(candidate->Momentum.Pt() * TMath::CosH(eta));
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335 | candidate->PT = candidate->Momentum.Pt();
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336 |
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337 | x = position.X();
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338 | y = position.Y();
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339 | z = position.Z();
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340 | t = position.T();
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341 | px = candidate->Momentum.Px();
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342 | py = candidate->Momentum.Py();
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343 | pz = candidate->Momentum.Pz();
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344 | pt = candidate->Momentum.Pt();
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345 |
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346 | // -- solve for delta: d0' = ( (x+delta)*py' - (y+delta)*px' )/pt'
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347 |
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348 | candidate->InitialPosition.SetX(x + ((px * y - py * x + d0 * pt) / (py - px)));
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349 | candidate->InitialPosition.SetY(y + ((px * y - py * x + d0 * pt) / (py - px)));
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350 | x = candidate->InitialPosition.X();
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351 | y = candidate->InitialPosition.Y();
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352 | candidate->InitialPosition.SetZ(z + ((pz * (px * (x - beamSpotPosition.X()) + py * (y - beamSpotPosition.Y())) + pt * pt * (dz - z)) / (pt * pt)));
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353 | z = candidate->InitialPosition.Z();
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354 |
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355 | candidate->InitialPosition.SetT(t);
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356 |
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357 | // update closest approach
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358 | x *= 1.0E-3;
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359 | y *= 1.0E-3;
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360 | z *= 1.0E-3;
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361 |
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362 | q = candidate->Charge;
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363 |
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364 | r = pt / (q * fBz) * 1.0E9 / c_light; // in [m]
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365 | phi_0 = TMath::ATan2(py, px); // [rad] in [-pi, pi]
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366 |
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367 | // 2. helix axis coordinates
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368 | x_c = x + r * TMath::Sin(phi_0);
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369 | y_c = y - r * TMath::Cos(phi_0);
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370 | r_c = TMath::Hypot(x_c, y_c);
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371 |
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372 | rcu = TMath::Abs(r);
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373 | rc2 = r_c * r_c;
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374 |
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375 | // calculate coordinates of closest approach to track circle in transverse plane xd, yd, zd
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376 | xd = x_c * x_c * x_c - x_c * rcu * r_c + x_c * y_c * y_c;
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377 | xd = (rc2 > 0.0) ? xd / rc2 : -999;
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378 | yd = y_c * (-rcu * r_c + rc2);
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379 | yd = (rc2 > 0.0) ? yd / rc2 : -999;
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380 | zd = z + (TMath::Sqrt(xd * xd + yd * yd) - TMath::Sqrt(x * x + y * y)) * pz / pt;
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381 |
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382 | candidate->Xd = xd * 1.0E3;
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383 | candidate->Yd = yd * 1.0E3;
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384 | candidate->Zd = zd * 1.0E3;
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385 |
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386 | if(fApplyToPileUp || !candidate->IsPU)
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387 | {
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388 | candidate->ErrorD0 = d0Error;
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389 | candidate->ErrorDZ = dzError;
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390 | candidate->ErrorP = pError;
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391 | candidate->ErrorCtgTheta = ctgThetaError;
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392 | candidate->ErrorPhi = phiError;
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393 | candidate->ErrorPT = ptError(p, ctgTheta, pError, ctgThetaError);
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394 | candidate->TrackResolution = pError / p;
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395 | }
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396 |
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397 | candidate->AddCandidate(mother);
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398 | fOutputArray->Add(candidate);
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399 |
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400 | iCandidate++;
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401 | }
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402 | }
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403 |
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404 | Double_t TrackSmearing::ptError(const Double_t p, const Double_t ctgTheta, const Double_t dP, const Double_t dCtgTheta)
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405 | {
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406 | Double_t a, b;
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407 | a = (p * p * ctgTheta * ctgTheta * dCtgTheta * dCtgTheta) / ((ctgTheta * ctgTheta + 1) * (ctgTheta * ctgTheta + 1) * (ctgTheta * ctgTheta + 1));
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408 | b = (dP * dP) / (ctgTheta * ctgTheta + 1);
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409 | return sqrt(a + b);
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410 | }
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411 |
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412 | //------------------------------------------------------------------------------
|
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