1 | /*
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2 | * ---- Delphes ----
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3 | * A Fast Simulator for general purpose LHC detector
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4 | * S. Ovyn ~~~~ severine.ovyn@uclouvain.be
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5 | *
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6 | * Center for Particle Physics and Phenomenology (CP3)
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7 | * Universite Catholique de Louvain (UCL)
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8 | * Louvain-la-Neuve, Belgium
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9 | * */
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10 |
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11 | #include "BFieldProp.h"
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12 | #include<cmath>
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13 | using namespace std;
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14 |
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15 |
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16 | //------------------------------------------------------------------------------
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17 |
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18 | TrackPropagation::TrackPropagation(){
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19 | DET = new RESOLution();
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20 | init();
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21 | }
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22 |
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23 | TrackPropagation::TrackPropagation(const string& DetDatacard){
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24 | DET = new RESOLution();
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25 | DET->ReadDataCard(DetDatacard);
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26 | init();
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27 | }
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28 |
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29 | TrackPropagation::TrackPropagation(const RESOLution* DetDatacard){
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30 | DET= new RESOLution(*DetDatacard);
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31 | init();
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32 | }
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33 |
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34 | TrackPropagation::TrackPropagation(const TrackPropagation & tp){
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35 | MAXITERATION = tp.MAXITERATION;
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36 | DET = new RESOLution(*(tp.DET));
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37 | R_max = tp.R_max; z_max = tp.z_max;
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38 | B_x = tp.B_x; B_y = tp.B_y; B_z = tp.B_z;
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39 | q = tp.q; phi_0 = tp.phi_0;
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40 | gammam= tp.gammam; omega = tp.omega;
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41 | r = tp.r; rr = tp.rr;
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42 | x_c = tp.x_c; y_c = tp.y_c;
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43 | R_c = tp.R_c; Phi_c = tp.Phi_c;
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44 | t = tp.t; t_z = tp.t_z; t_T = tp.t_T;
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45 | x_t = tp.x_t; y_t = tp.y_t; z_t = tp.z_t;
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46 | R_t = tp.R_t; Phi_t = tp.Phi_t;
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47 | Theta_t=tp.Theta_t; Eta_t = tp.Eta_t;
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48 | Px_t = tp.Px_t; Py_t = tp.Py_t; Pz_t = tp.Pz_t;
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49 | PT_t = tp.PT_t; p_t = tp.p_t; E_t = tp.E_t;
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50 | loop_overflow_counter = tp.loop_overflow_counter;
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51 | }
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52 |
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53 | TrackPropagation& TrackPropagation::operator=(const TrackPropagation & tp) {
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54 | if(this==&tp) return *this;
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55 | MAXITERATION = tp.MAXITERATION;
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56 | DET = new RESOLution(*(tp.DET));
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57 | R_max = tp.R_max; z_max = tp.z_max;
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58 | B_x = tp.B_x; B_y = tp.B_y; B_z = tp.B_z;
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59 | q = tp.q; phi_0 = tp.phi_0;
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60 | gammam= tp.gammam; omega = tp.omega;
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61 | r = tp.r; rr = tp.rr;
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62 | x_c = tp.x_c; y_c = tp.y_c;
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63 | R_c = tp.R_c; Phi_c = tp.Phi_c;
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64 | t = tp.t; t_z = tp.t_z; t_T = tp.t_T;
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65 | x_t = tp.x_t; y_t = tp.y_t; z_t = tp.z_t;
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66 | R_t = tp.R_t; Phi_t = tp.Phi_t;
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67 | Theta_t=tp.Theta_t; Eta_t = tp.Eta_t;
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68 | Px_t = tp.Px_t; Py_t = tp.Py_t; Pz_t = tp.Pz_t;
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69 | PT_t = tp.PT_t; p_t = tp.p_t; E_t = tp.E_t;
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70 | loop_overflow_counter = tp.loop_overflow_counter;
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71 | return *this;
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72 | }
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73 |
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74 |
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75 |
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76 | void TrackPropagation::init() {
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77 | MAXITERATION = 10000;
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78 | q= UNDEFINED; phi_0= UNDEFINED; gammam= UNDEFINED; omega=UNDEFINED; r=UNDEFINED;
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79 | x_c=UNDEFINED; y_c=UNDEFINED; R_c=UNDEFINED; Phi_c=UNDEFINED;
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80 | rr=UNDEFINED; t=UNDEFINED; t_z=UNDEFINED; t_T=UNDEFINED;
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81 | x_t=UNDEFINED; y_t=UNDEFINED; z_t=UNDEFINED;
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82 | R_t=UNDEFINED; Phi_t=UNDEFINED; Theta_t=UNDEFINED; Eta_t=UNDEFINED;
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83 | Px_t=UNDEFINED; Py_t=UNDEFINED; Pz_t=UNDEFINED; PT_t=UNDEFINED; p_t=UNDEFINED; E_t=UNDEFINED;
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84 |
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85 | // DET has been initialised in the constructors
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86 | // magnetic field parameters
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87 | R_max = DET->TRACK_radius;
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88 | z_max = DET->TRACK_length/2.;
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89 | B_x = DET->TRACK_bfield_x;
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90 | B_y = DET->TRACK_bfield_y;
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91 | B_z = DET->TRACK_bfield_z;
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92 |
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93 | loop_overflow_counter=0;
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94 | }
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95 |
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96 |
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97 |
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98 | void TrackPropagation::Propagation(const TRootGenParticle *Part,TLorentzVector &momentum) {
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99 |
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100 | q = Charge(Part->PID);
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101 | if(q==0) return;
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102 |
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103 | if(R_max ==0) { cout << "ERROR: magnetic field has no lateral extention\n"; return;}
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104 | if(z_max==0) { cout << "ERROR: magnetic field has no longitudinal extention\n"; return;}
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105 |
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106 | if (B_x== 0 && B_y== 0) { // faster if only B_z
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107 | if (B_z==0) return; // nothing to do
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108 |
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109 | // initial conditions:
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110 | // p_X0 = Part->Px, p_Y0 = Part->Py, p_Z0 = Part->Pz, p_T0 = Part->PT;
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111 | // X_0 = Part->X, Y_0 = Part->Y, Z_0 = Part->Z;
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112 |
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113 | // 1. initial transverse momentum p_{T0} : Part->PT
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114 | // initial transverse momentum direction \phi_0 = -atan(p_X0/p_Y0)
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115 | // relativistic gamma : gamma = E/mc² ; gammam = gamma \times m
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116 | // giration frequency \omega = q/(gamma m) B_z
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117 | // helix radius r = p_T0 / (omega gamma m)
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118 | phi_0 = -atan2(Part->Px,Part->Py);
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119 | gammam = Part->E; // here c==1
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120 | //cout << "gammam" << gammam << "\t gamma" << gammam/Part->M << endl;
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121 | omega = q * B_z /gammam;
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122 | r = Part->PT / (omega * gammam);
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123 |
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124 | // 2. Helix parameters : center coordinates in transverse plane
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125 | // x_c = x_0 - r*cos(phi_0) and y_c = y_0 - r*sin(phi_0)
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126 | // R_c = \sqrt{x_c² + y_c²} and \Phi_c = atan{y_c/x_c}
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127 | x_c = Part->X - r*cos(phi_0); /// TEST !!
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128 | y_c = Part->Y - r*sin(phi_0);
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129 | R_c = sqrt(pow(x_c,2.) + pow(y_c,2.) );
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130 | Phi_c = atan2(y_c,x_c);
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131 |
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132 | // 3. time evaluation t = min(t_T, t_z)
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133 | // t_T : time to exit from the sides
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134 | // t_T= [ Phi_c - phi_0 + atan( (R_max^2 - (R_c^2 + r^2))/(2rR_c) ) ]/omega
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135 | // t_z : time to exit from the front or the back
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136 | // t_z = gamma * m /p_z0 \times (-z_0 + z_max * sign(p_z0))
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137 | rr = sqrt( pow(R_c,2.) + pow(r,2.) ); // temp variable
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138 | t_T=0;
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139 | int sign_pz= (Part->Pz >0) ? 1 : -1;
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140 | t_z = gammam / Part->Pz * (-Part->Z + z_max*sign_pz ) ;
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141 | if ( fabs(R_c - r) > R_max || R_c + r < R_max ) t = t_z;
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142 | else {
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143 | t_T = (Phi_c - phi_0 + atan2( (R_max + rr)*(R_max - rr) , 2*r*R_c ) ) / omega;
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144 | t = min(t_T,t_z);
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145 | }
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146 |
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147 | // 4. position in terms of x(t), y(t), z(t)
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148 | // x(t) = x_c + r cos (omega t + phi_0)
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149 | // y(t) = y_c + r sin (omega t + phi_0)
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150 | // z(t) = z_0 + (p_Z0/gammam) t
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151 | x_t = x_c + r * cos(omega * t + phi_0);
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152 | y_t = y_c + r * sin(omega * t + phi_0);
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153 | z_t = Part->Z + Part->Pz / gammam * t;
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154 |
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155 | // 5. position in terms of Theta(t), Phi(t), R(t), Eta(t)
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156 | // R(t) = sqrt(x(t)² + y(t)²)
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157 | // Phi(t) = atan(y(t)/x(t))
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158 | // Theta(t) = atan(R(t)/z(t))
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159 | // Eta(t) = -ln tan (Theta(t)/2)
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160 | R_t = sqrt( pow(x_t,2.) + pow(y_t,2.) );
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161 | Phi_t = atan2( y_t, x_t);
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162 | if(R_t>0) {
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163 | Theta_t = acos( z_t / sqrt(z_t*z_t+ R_t*R_t));
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164 | Eta_t = - log(tan(Theta_t/2.));
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165 | } else{
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166 | Theta_t=0; Eta_t = 9999;
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167 | }
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168 |
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169 | Px_t = - Part->PT * sin(omega*t + phi_0);
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170 | Py_t = Part->PT * cos(omega*t + phi_0);
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171 | Pz_t = Part->Pz;
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172 | PT_t = sqrt(Px_t*Px_t + Py_t*Py_t);
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173 | p_t = sqrt(PT_t*PT_t + Pz_t*Pz_t);
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174 | E_t=sqrt(Part->M*Part->M +p_t);
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175 | //if(p_t != fabs(Pz_t) ) Eta_t = log( (p_t+Pz_t)/(p_t-Pz_t) )/2.;
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176 | //if(p_t>0) Theta_t = acos(Pz_t/p_t);
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177 | momentum.SetPxPyPzE(Px_t,Py_t,Pz_t,E_t);
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178 |
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179 | // test zone ---
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180 | /*
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181 | cout << cos(atan(R_t/z_t)) << "\t" << cos(Theta_t) << "\t" << cos(momentum.Theta()) << "\t" << Pz_t/temp_p << endl;
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182 | double Eta_t1 = log( (E+Pz_t)/(E-Pz_t) )/2.;
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183 | double Eta_t2 = log( (temp_p+Pz_t)/(temp_p-Pz_t) )/2.;
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184 | if(0 && fabs(Eta_t -Eta_t2)>1e-310) {
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185 | cout << "ERROR-BUG: Eta_t != Eta_t2\n";
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186 | cout << "Eta_t= " << Eta_t << "\t Eta_t1= " << Eta_t1 << "\t Eta_t2= " << Eta_t2 << endl;
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187 | }
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188 |
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189 | double R_t2 = sqrt( pow(R_c,2.) + pow(r,2.) + 2*r*R_c*cos(phi_0 + omega*t - Phi_c) ); // cross-check
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190 | if(fabs(R_t - R_t2) > 1e-7)
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191 | cout << "ERROR-BUG: R_t != R_t2: R_t=" << R_t << " R_t2=" << R_t2 << " R_t - R_t2 =" << R_t - R_t2 << endl;
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192 | if( fabs(E - gammam) > 1e-3 ) {
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193 | cout << "ERROR-BUG: energy is not conserved in src/BFieldProp.cc\n";
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194 | cout << "E - momentum.E() = " << fabs(E - momentum.E()) << " gammam - E " << fabs(gammam -E) << endl; }
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195 | if( fabs(PT_t - Part->PT) > 1e-10 ) {
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196 | cout << "ERROR-BUG: PT is not conversed in src/BFieldProp.cc. ";
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197 | cout << "(at " << 100*(PT_t - Part->PT) << "%)\n";
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198 | }
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199 | if(momentum.Pz() != Pz_t)
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200 | cout << "ERROR-BUG: Pz is not conserved in src/BFieldProp.cc\n";
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201 |
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202 | double temp_p0=sqrt(Part->PT*Part->PT + Part->Pz*Part->Pz);
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203 | if(fabs( (temp_p-temp_p0)*(temp_p+temp_p0) )>1e-10 ) {
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204 | cout << "ERROR-BUG: momentum |vec{p}| is not conserved in src/BFieldProp.cc\n";
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205 | cout << temp_p << "\t" << temp_p0 << endl;
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206 | }
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207 |
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208 | // if x_c == y_c ==0 (set it by hand!), easy cross-check
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209 | //cout << "tan(phi_p)= " << momentum.Py()/momentum.Px() << "\t -1/tan(phi_x)= " << -x_t/y_t << endl;
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210 | */
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211 |
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212 | } else { // if B_x or B_y are non zero: longer computation
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213 |
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214 | float Xvertex1 = Part->X;
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215 | float Yvertex1 = Part->Y;
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216 | float Zvertex1 = Part->Z;
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217 |
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218 | //out of tracking coverage?
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219 | if(sqrt(Xvertex1*Xvertex1+Yvertex1*Yvertex1) > R_max){return;}
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220 | if(fabs(Zvertex1) > z_max){return;}
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221 |
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222 | double px = Part->Px / 0.003;
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223 | double py = Part->Py / 0.003;
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224 | double pz = Part->Pz / 0.003;
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225 | double pt = Part->PT / 0.003; // sqrt(px*px+py*py);
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226 | double p = sqrt(pz*pz + pt*pt); //sqrt(px*px+py*py+pz*pz);
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227 |
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228 | double M = Part->M;
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229 | double vx = px/M;
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230 | double vy = py/M;
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231 | double vz = pz/M;
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232 | double qm = q/M;
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233 |
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234 | double ax = qm*(B_z*vy - B_y*vz);
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235 | double ay = qm*(B_x*vz - B_z*vx);
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236 | double az = qm*(B_y*vx - B_x*vy);
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237 | double dt = 1/p;
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238 | if(pt<266 && vz < 0.0012) dt = fabs(0.001/vz); // ?????
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239 |
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240 | double xold=Xvertex1; double x=xold;
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241 | double yold=Yvertex1; double y=yold;
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242 | double zold=Zvertex1; double z=zold;
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243 |
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244 | double VTold = pt/M; //=sqrt(vx*vx+vy*vy);
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245 |
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246 | unsigned int k = 0;
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247 | double VTratio=0;
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248 | double R_max2 = R_max*R_max;
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249 | double r2=0; // will be x*x+y*y
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250 |
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251 | while(k < MAXITERATION){
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252 | k++;
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253 |
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254 | vx += ax*dt;
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255 | vy += ay*dt;
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256 | vz += az*dt;
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257 |
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258 | VTratio = VTold/sqrt(vx*vx+vy*vy);
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259 | vx *= VTratio;
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260 | vy *= VTratio;
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261 |
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262 | ax = qm*(B_z*vy - B_y*vz);
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263 | ay = qm*(B_x*vz - B_z*vx);
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264 | az = qm*(B_y*vx - B_x*vy);
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265 |
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266 | x += vx*dt;
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267 | y += vy*dt;
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268 | z += vz*dt;
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269 | r2 = x*x + y*y;
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270 |
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271 | if( r2 > R_max2 ){
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272 | x /= r2/R_max2;
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273 | y /= r2/R_max2;
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274 | break;
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275 | }
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276 | if( fabs(z)>z_max)break;
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277 |
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278 | xold = x;
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279 | yold = y;
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280 | zold = z;
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281 | } // while loop
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282 |
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283 | if(k == MAXITERATION) loop_overflow_counter++;
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284 | //cout << "too short loop in " << loop_overflow_counter << " cases" << endl;
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285 |
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286 | if(x!=0 && y!=0 && z!=0) {
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287 | float Theta = atan2(sqrt(r2),z);
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288 | double eta = -log(tan(Theta/2.));
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289 | double phi = atan2(y,x);
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290 | momentum.SetPtEtaPhiE(Part->PT,eta,phi,Part->E);
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291 | }
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292 |
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293 | } // if b_x or b_y non zero
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294 | }
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