1 /**************************************************************************
2 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
7 * Permission to use, copy, modify and distribute this software and its *
8 * documentation strictly for non-commercial purposes is hereby granted *
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10 * copies and that both the copyright notice and this permission notice *
11 * appear in the supporting documentation. The authors make no claims *
12 * about the suitability of this software for any purpose. It is *
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14 **************************************************************************/
16 /* $Id: AliGenEMlib.cxx 30052 2008-11-25 14:54:18Z morsch $ */
18 /////////////////////////////////////////////////////////////////////////////
20 // Implementation of AliGenEMlib for electron, di-electron, and photon //
21 // cocktail calculations. //
22 // It is based on AliGenGSIlib. //
24 // Responsible: R.Averbeck@gsi.de //
26 /////////////////////////////////////////////////////////////////////////////
29 #include <Riostream.h>
33 #include "AliGenEMlib.h"
38 //Initializers for static members
39 Int_t AliGenEMlib::fgSelectedCollisionsSystem=AliGenEMlib::kpp7TeV;
40 Int_t AliGenEMlib::fgSelectedPtParamPi0=AliGenEMlib::kPizeroParam;
41 Int_t AliGenEMlib::fgSelectedPtParamEta=AliGenEMlib::kEtaParamRatiopp;
42 Int_t AliGenEMlib::fgSelectedPtParamOmega=AliGenEMlib::kOmegaParampp;
43 Int_t AliGenEMlib::fgSelectedPtParamPhi=AliGenEMlib::kPhiParampp;
44 Int_t AliGenEMlib::fgSelectedCentrality=AliGenEMlib::kpp;
45 Int_t AliGenEMlib::fgSelectedV2Systematic=AliGenEMlib::kNoV2Sys;
47 Double_t AliGenEMlib::CrossOverLc(double a, double b, double x){
48 if(x<b-a/2) return 1.0;
49 else if(x>b+a/2) return 0.0;
50 else return cos(((x-b)/a+0.5)*TMath::Pi())/2+0.5;
52 Double_t AliGenEMlib::CrossOverRc(double a, double b, double x){
53 return 1-CrossOverLc(a,b,x);
56 const Double_t AliGenEMlib::fgkV2param[kCentralities][16] = {
57 // charged pion cent, based on: https://twiki.cern.ch/twiki/bin/viewauth/ALICE/FlowPAGQM2012talkIdentified
58 { 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 2.0000000000, 0.0000000000, 1.0000000000, 0, 1, 0.0000000000, 1.0000000000, 10 } // pp no V2
59 ,{ 6.554571e-02, 1.436915e+00, 4.610598e-02, 2.554090e+00, 1.300948e+00, 2.970850e-02, 4.767877e+00, 4.228885e+00, 6.025959e-02, 1.570851e-03, 1.108941e+00, 0, 1, 1.715434e-03, 4.088070e-01, 25 } // 0-5
60 ,{ 1.171348e-01, 1.333067e+00, 4.537086e-02, 3.046348e+00, 3.903416e+00, 4.407152e-02, 9.123846e-01, 4.834531e+00, 1.186227e-01, 2.259463e-03, 8.916458e-01, 0, 1, 2.300647e-03, 4.531172e-01, 25 } // 5-10
61 ,{ 1.748434e-01, 1.285199e+00, 4.219881e-02, 4.018858e+00, 4.255082e+00, 7.955896e-03, 1.183264e-01,-9.329627e+00, 5.826570e-01, 3.368057e-03, 5.437668e-01, 0, 1, 3.178663e-03, 3.617552e-01, 25 } // 10-20
62 ,{ 2.149526e-01, 1.408792e+00, 5.062101e-02, 3.206279e+00, 3.988517e+00, 3.724655e-02, 1.995791e-01,-1.571536e+01, 6.494227e+00, 4.957874e-03, 4.903140e-01, 0, 1, 4.214626e-03, 3.457922e-01, 25 } // 20-30
63 ,{ 2.408942e-01, 1.477541e+00, 5.768983e-02, 3.333347e+00, 3.648508e+00,-2.044309e-02, 1.004145e-01,-2.386625e+01, 3.301913e+00, 5.666750e-03, 5.118686e-01, 0, 1, 4.626802e-03, 3.188974e-01, 25 } // 30-40
64 ,{ 2.495109e-01, 1.543680e+00, 6.217835e-02, 3.518863e+00, 4.557145e+00, 6.014553e-02, 1.491814e-01,-5.443647e+00, 5.403300e-01, 6.217285e-03, 5.580218e-01, 0, 1, 4.620486e-03, 3.792879e-01, 25 } // 40-50
65 ,{ 2.166399e-01, 1.931033e+00, 8.195390e-02, 2.226640e+00, 3.106649e+00, 1.058755e-01, 8.557791e-01, 4.006501e+00, 2.476449e-01, 6.720714e-03, 6.342966e-01, 0, 1, 4.449839e-03, 4.968750e-01, 25 } // 50-60
66 ,{ 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 2.0000000000, 0.0000000000, 1.0000000000, 0, 1, 0.0000000000, 1.0000000000, 10 } // 0-10
67 ,{ 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 2.0000000000, 0.0000000000, 1.0000000000, 0, 1, 0.0000000000, 1.0000000000, 10 } // 20-40
68 ,{ 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 2.0000000000, 0.0000000000, 1.0000000000, 0, 1, 0.0000000000, 1.0000000000, 10 } // 40-60
69 ,{ 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 2.0000000000, 0.0000000000, 1.0000000000, 0, 1, 0.0000000000, 1.0000000000, 10 } // 60-80
70 ,{ 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 2.0000000000, 0.0000000000, 1.0000000000, 0, 1, 0.0000000000, 1.0000000000, 10 } // 0-20
71 ,{ 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 2.0000000000, 0.0000000000, 1.0000000000, 0, 1, 0.0000000000, 1.0000000000, 10 } // 0-40
72 ,{ 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 2.0000000000, 0.0000000000, 1.0000000000, 0, 1, 0.0000000000, 1.0000000000, 10 } // 20-80
73 ,{ 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 2.0000000000, 0.0000000000, 1.0000000000, 0, 1, 0.0000000000, 1.0000000000, 10 } // 40-80
76 const Double_t AliGenEMlib::fgkRawPtOfV2Param[kCentralities][10] = {
77 { 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // pp no V2
78 ,{ 2.181446e+08, 9.412925e-01, 1.158774e-01, 3.020303e+01, 6.790828e+00, 9.999996e+01, 2.616827e+00, 3.980492e+00, 1.225169e+07, 5.575243e+00 } // 0-5
79 ,{ 3.006215e+08, 9.511881e-01, 1.192788e-01, 2.981931e+01, 5.068175e+01, 9.999993e+01, 2.650635e+00, 4.073982e+00, 2.508045e+07, 5.621039e+00 } // 5-10
80 ,{ 1.643438e+09, 9.604242e-01, 1.218512e-01, 2.912684e+01, 1.164242e+00, 9.999709e+01, 2.662326e+00, 4.027795e+00, 7.020810e+07, 5.696860e+00 } // 10-20
81 ,{ 8.109985e+08, 9.421935e-01, 1.328020e-01, 2.655910e+01, 1.053677e+00, 9.999812e+01, 2.722949e+00, 3.964547e+00, 6.104096e+07, 5.694703e+00 } // 20-30
82 ,{ 5.219789e+08, 9.417339e-01, 1.417541e-01, 2.518080e+01, 7.430803e-02, 9.303295e+01, 2.780227e+00, 3.909570e+00, 4.723116e+07, 5.778375e+00 } // 30-40
83 ,{ 2.547159e+08, 9.481459e-01, 2.364858e-01, 1.689288e+01, 3.858883e+00, 6.352619e+00, 2.742270e+00, 3.855226e+00, 3.120535e+07, 5.878677e+00 } // 40-50
84 ,{ 9.396097e+07, 9.304491e-01, 3.244940e-01, 1.291696e+01, 2.854367e+00, 6.325908e+00, 2.828258e+00, 4.133699e+00, 1.302739e+07, 5.977896e+00 } // 50-60
85 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 0-10
86 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 20-40
87 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 40-60
88 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 60-80
89 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 0-20
90 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 0-40
91 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 20-80
92 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 40-80
95 const Double_t AliGenEMlib::fgkPtParam[kCentralities][10] = {
96 { 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // pp no V2
97 ,{ 7.641493e+01, 7.203468e-01, 3.651383e-01, 1.047542e+01, 3.494331e+00, 5.129019e+00, 3.081716e+00, 5.154525e+00, 3.065719e+01, 5.823718e+00 } // 0-5
98 ,{ 1.704676e+02, 7.852682e-01, 4.177172e-01, 1.014652e+01, 3.324409e+00, 4.825894e+00, 2.889738e+00, 4.772249e+00, 3.502627e+01, 5.938773e+00 } // 5-10
99 ,{ 1.823377e+02, 8.144309e-01, 4.291562e-01, 1.022767e+01, 3.585469e+00, 5.275078e+00, 3.144351e+00, 5.259097e+00, 2.675708e+01, 5.892506e+00 } // 10-20
100 ,{ 4.851407e+02, 9.341151e-01, 4.716673e-01, 1.058090e+01, 4.681218e+00, 7.261284e+00, 3.883227e+00, 6.638627e+00, 1.562806e+01, 5.772127e+00 } // 20-30
101 ,{ 3.157060e+01, 6.849451e-01, 4.868669e-01, 8.394558e+00, 3.539142e+00, 5.495280e+00, 4.102638e+00, 3.722991e+00, 1.638622e+01, 5.935963e+00 } // 30-40
102 ,{ 1.857919e+01, 6.185989e-01, 5.878869e-01, 7.035064e+00, 2.892415e+00, 4.339383e+00, 3.549679e+00, 2.821061e+00, 1.529318e+01, 6.091388e+00 } // 40-50
103 ,{ 1.069397e+01, 5.816587e-01, 6.542961e-01, 6.472858e+00, 2.643870e+00, 3.929020e+00, 3.339224e+00, 2.410371e+00, 9.606748e+00, 6.116685e+00 } // 50-60
104 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 0-10
105 ,{ 1.271594e+02, 7.790165e-01, 5.793214e-01, 8.050008e+00, 3.211312e+00, 4.825258e+00, 3.840509e+00, 3.046231e+00, 2.172177e+01, 5.983496e+00 } // 20-40
106 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 40-60
107 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 60-80
108 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 0-20
109 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 0-40
110 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 20-80
111 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 40-80
114 const Double_t AliGenEMlib::fgkThermPtParam[kCentralities][2] = {
115 { 0.0000000000, 0.0000000000 } // pp no V2
116 ,{ 0.0000000000, 0.0000000000 } // 0-5
117 ,{ 0.0000000000, 0.0000000000 } // 5-10
118 ,{ 3.335661e+01, 3.400585e+00 } // 10-20 //based on: https://aliceinfo.cern.ch/Notes/node/249
119 ,{ 0.0000000000, 0.0000000000 } // 20-30
120 ,{ 0.0000000000, 0.0000000000 } // 30-40
121 ,{ 0.0000000000, 0.0000000000 } // 40-50
122 ,{ 0.0000000000, 0.0000000000 } // 50-60
123 ,{ 3.648327e+02, 4.477749e+00 } // 0-10 //based on: https://aliceinfo.cern.ch/Notes/node/249
124 ,{ 1.696223e+00, 2.429660e+00 } // 20-40 //based on: https://twiki.cern.ch/twiki/pub/ALICE/ALICEDirectPhotonSpectrumPaper/directPbPb.pdf
125 ,{ 0.0000000000, 0.0000000000 } // 40-60
126 ,{ 0.0000000000, 0.0000000000 } // 60-80
127 ,{ 1.492160e+01, 2.805213e+00 } // 0-20 //based on: https://twiki.cern.ch/twiki/pub/ALICE/ALICEDirectPhotonSpectrumPaper/directPbPb.pdf
128 ,{ 4.215110e+01, 3.242719e+00 } // 0-40 //based on: https://aliceinfo.cern.ch/Figure/node/2866
129 ,{ 0.0000000000, 0.0000000000 } // 20-80
130 ,{ 0.0000000000, 0.0000000000 } // 40-80
133 const Double_t AliGenEMlib::fgkModTsallisParamPi0PbPb[kCentralities][7] = {
134 {0., 0., 0., 0., 0., 0., 0. }, // pp
135 {0., 0., 0., 0., 0., 0., 0. }, // 0-5
136 {0., 0., 0., 0., 0., 0., 0. }, // 5-10
137 {2.09114, 2.7482, 6.911, 51.1383, -10.6896, 1.30818, -1.59137 }, // 10-20
138 {0., 0., 0., 0., 0., 0., 0. }, // 20-30
139 {0., 0., 0., 0., 0., 0., 0. }, // 30-40
140 {0., 0., 0., 0., 0., 0., 0. }, // 40-50
141 {0., 0., 0., 0., 0., 0., 0. }, // 50-60
142 {970.684, 0.46451, 5.52064, 21.7707, -4.2495, 4.62292, -3.47699 }, // 00-10
143 {3.22534, 2.83717, 7.50505, 38.8015, -8.93242, 0.9842, -0.821508 }, // 20-40
144 {0., 0., 0., 0., 0., 0., 0. }, // 40-60
145 {0., 0., 0., 0., 0., 0., 0. }, // 60-80
146 {44.3972, 1.0644, 5.92254, 40.9254, -8.07759, 3.30333, -2.25078 }, // 00-20
147 {38.187, 1.58985, 6.81705, 31.2526, -8.35251, 3.39482, -1.56172 }, // 00-40
148 {0., 0., 0., 0., 0., 0., 0. }, // 20-80
149 {89.2412, 0.150509, 4.97424, 112.986, 643.257, 3.41969, -2.46034 }, // 40-80
152 const Double_t AliGenEMlib::fgkModTsallisParamPiChargedPbPb[kCentralities][7] = {
153 {0., 0., 0., 0., 0., 0., 0. }, // pp
154 {0., 0., 0., 0., 0., 0., 0. }, // 0-5
155 {0., 0., 0., 0., 0., 0., 0. }, // 5-10
156 {117.693, 1.20567, 6.57362, 29.2275, -7.71065, 4.50046, -1.91093 }, // 10-20
157 {0., 0., 0., 0., 0., 0., 0. }, // 20-30
158 {0., 0., 0., 0., 0., 0., 0. }, // 30-40
159 {0., 0., 0., 0., 0., 0., 0. }, // 40-50
160 {0., 0., 0., 0., 0., 0., 0. }, // 50-60
161 {229.035, 1.11283, 6.53404, 28.9739, -8.15381, 5.05703, -2.32825 }, // 00-10
162 {45.5686, 1.39268, 6.72519, 29.4513, -7.23335, 3.80987, -1.18599 }, // 20-40
163 {0., 0., 0., 0., 0., 0., 0. }, // 40-60
164 {0., 0., 0., 0., 0., 0., 0. }, // 60-80
165 {171.812, 1.14849, 6.54742, 29.0473, -7.96679, 4.82915, -2.15967 }, // 00-20
166 {108.083, 1.21125, 6.59362, 28.9651, -7.70072, 4.56583, -1.89318 }, // 00-40
167 {0., 0., 0., 0., 0., 0., 0. }, // 20-80
168 {3.14057, 0.329224, 4.8235, 491.145, 186.041, 2.91138, -2.20281 }, // 40-80
171 const Double_t AliGenEMlib::fgkParamSetPi07TeV[kNPi0Param][7] = {
172 {0.134977, 2.31335/(2*TMath::Pi()), 0.1433, 7.003, 0, 0, 0 }, //kPizeroParam
173 {-0.0580977, 0.580804, 5.0964, -669.913, -160.2, 4.45906, -0.465125 }, //kPizeroParamlow
174 {-7.09454, 0.218554, 5.2278, 77.9877, -359.457, 4.67862, -0.996938 }, //kPizeroParamhigh
175 {0., 0., 0., 0., 0., 0., 0. }, //kPichargedParam
176 {0., 0., 0., 0., 0., 0., 0. }, //kPichargedParamlow
177 {-0.000632204, 0.371249, 4.56778, -111488, -15573.4, 4.33064, -1.5506 }, //kPichargedParamhigh
178 {0., 0., 0., 0., 0., 0., 0. }, //kPizeroParamAlter
179 {0., 0., 0., 0., 0., 0., 0. }, //kPizeroParamAlterlow
180 {0., 0., 0., 0., 0., 0., 0. }, //kPizeroParamAlterhigh
183 const Double_t AliGenEMlib::fgkParamSetPi02760GeV[kNPi0Param][7] = {
184 {0.134977, 1.7/(2*TMath::Pi()), 0.135, 7.1, 0, 0, 0 }, //kPizeroParam
185 {-1.4583, 0.188108, 5.34499, 546.328, -2142.93, 4.55572, -1.82455 }, //kPizeroParamlow
186 {-0.0648943, 0.231029, 4.39238, -3705.4, -35.9761, 4.87127, -2.00983 }, //kPizeroParamhigh
187 {0.755554, 0.20772, 5.24167, 11.8279, 1492.53, 3.93863, -1.72404 }, //kPichargedParam
188 {0., 0., 0., 0., 0., 0., 0. }, //kPichargedParamlow
189 {0., 0., 0., 0., 0., 0., 0. }, //kPichargedParamhigh
190 {0.0610774, 5.86289, -7.83516, 1.29301, 2.62416, 0., 0. }, //kPizeroParamAlter
191 {0.065338, 5.86705, -9.05494, 1.38435, 3.58848, 0., 0. }, //kPizeroParamAlterlow
192 {0., 0., 0., 0., 0., 0., 0. }, //kPizeroParamAlterhigh
195 const Double_t AliGenEMlib::fgkParamSetPi0900GeV[kNPi0Param][7] = {
196 {0.134977, 1.5/(2*TMath::Pi()), 0.132, 7.8, 0, 0, 0 }, //kPizeroParam
197 {0., 0., 0., 0., 0., 0., 0. }, //kPizeroParamlow
198 {0., 0., 0., 0., 0., 0., 0. }, //kPizeroParamhigh
199 {0., 0., 0., 0., 0., 0., 0. }, //kPichargedParam
200 {0., 0., 0., 0., 0., 0., 0. }, //kPichargedParamlow
201 {0., 0., 0., 0., 0., 0., 0. }, //kPichargedParamhigh
202 {0.0467285, 59.6495, -212.865, 0.0584012, 2.83816, 0., 0. }, //kPizeroParamAlter
203 {0.0468173, 66.9511, -136.287, 0.0298099, 1.17147, 0., 0. }, //kPizeroParamAlterlow
204 {0., 0., 0., 0., 0., 0., 0. }, //kPizeroParamAlterhigh
208 // MASS 0=>PIZERO, 1=>ETA, 2=>RHO0, 3=>OMEGA, 4=>ETAPRIME, 5=>PHI, 6=>JPSI, 7=>SIGMA, 8=>K0s, 9=>DELTA++, 10=>DELTA+, 11=>DELTA-, 12=>DELTA0, 13=>Rho+, 14=>Rho-, 15=>K0*
209 const Double_t AliGenEMlib::fgkHM[16] = {0.1349766, 0.547853, 0.77549, 0.78265, 0.95778, 1.019455, 3.096916, 1.192642, 0.497614, 1.2311, 1.2349, 1.2349, 1.23340, 0.77549, 0.77549, 0.896};
211 const Double_t AliGenEMlib::fgkMtFactor[3][16] = {
212 // {1.0, 0.5, 1.0, 0.9, 0.4, 0.23, 0.054}, // factor for pp from arXiv:1110.3929
213 // {1.0, 0.55, 1.0, 0.9, 0.4, 0.25, 0.004} // factor for PbPb from arXiv:1110.3929
214 //{1., 0.48, 1.0, 0.9, 0.25, 0.4}, (old values)
215 //{1., 0.48, 1.0, 0.9, 0.4, 0.25}, (nlo values)
216 //{1., 0.48, 1.0, 0.8, 0.4, 0.2, 0.06} (combination of nlo and LHC measurements)
217 //https://aliceinfo.cern.ch/Figure/node/2634
218 //https://aliceinfo.cern.ch/Figure/node/2788
219 //https://aliceinfo.cern.ch/Figure/node/4403
220 //https://aliceinfo.cern.ch/Notes/node/87
222 - pp values for eta/pi0 [arXiv:1205.5724], omega/pi0 [arXiv:1210.5749], phi/(pi+/-) [arXiv:1208.5717] from measured 7 Tev data
224 {1., 0.476, 1.0, 0.85, 0.4, 0.13, 1., 0.49, 0.575, 1, 1, 1, 1, 1.0, 1.0, 1.0}, //pp
225 {1., 0.476, 1.0, 0.85, 0.4, 0.25, 1., 0.49, 0.575, 1, 1, 1, 1, 1.0, 1.0, 1.0}, //pPb
226 {1., 0.476, 1.0, 0.85, 0.4, 0.25, 1., 0.49, 0.575, 1, 1, 1, 1, 1.0, 1.0, 1.0} //PbPb
229 //==========================================================================
231 // Definition of Particle Distributions
233 //==========================================================================
235 //--------------------------------------------------------------------------
239 //--------------------------------------------------------------------------
240 Double_t AliGenEMlib::PtModifiedHagedornThermal(Double_t pt,
248 // Modified Hagedorn Thermal fit to Picharged for PbPb:
250 invYield = c/TMath::Power(p0+pt/p1,n) + cT*exp(-1.0*pt/T);
252 return invYield*(2*TMath::Pi()*pt);
257 Double_t AliGenEMlib::PtModifiedHagedornExp(Double_t pt,
264 // Modified Hagedorn exponentiel fit to Pizero for PbPb:
266 invYield = c*TMath::Power(exp(-1*(p1*pt-p2*pt*pt))+pt/p0,-n);
268 return invYield*(2*TMath::Pi()*pt);
272 Double_t AliGenEMlib::PtModifiedHagedornExp2(Double_t pt,
281 // Modified Hagedorn exponential fit to charged pions for pPb:
283 invYield = c*TMath::Power(exp(-a*pt-b*pt*pt)+pt/p0+TMath::Power(pt/p1,d),-n);
285 return invYield*(2*TMath::Pi()*pt);
288 Double_t AliGenEMlib::PtTsallis(Double_t pt,
294 // Tsallis fit to Pizero for pp:
298 mt = sqrt(m*m + pt*pt);
299 invYield = c*((n-1.)*(n-2.))/(n*T*(n*T+m*(n-2.)))*pow(1.+(mt-m)/(n*T),-n);
301 return invYield*(2*TMath::Pi()*pt);
305 Double_t AliGenEMlib::PtXQCD( Double_t pt,
313 // QCD inspired function by Martin Wilde
314 // DISCLAIMER: Please be careful outside of the measured pT range
315 Double_t invYield = 0;
317 invYield = a*pow(pt,-1*(b+c/(pow(pt,d)+e*pow(pt,f))));
318 } else invYield = 100;
319 return invYield*(2*TMath::Pi()*pt);
322 Double_t AliGenEMlib::PtQCD( Double_t pt,
329 // QCD inspired function by Martin Wilde
330 // DISCLAIMER: Please be careful outside of the measured pT range
331 Double_t invYield = 0;
333 invYield = a*pow(pt,-1*(b+c/(pow(pt,d)+e)));
334 } else invYield = 100;
335 return invYield*(2*TMath::Pi()*pt);
338 Double_t AliGenEMlib::PtModTsallis( Double_t pt,
349 Double_t invYield = 0;
350 Double_t mt = sqrt(mass*mass + pt*pt);
351 Double_t pt2 = pt*pt;
353 invYield = a*TMath::Power((1.+(mt-mass)/(b)),-c)*(d+e*pt+pt2)/(f+g*pt+pt2);
354 } else invYield = 100;
355 return invYield*(2*TMath::Pi()*pt);
358 Double_t AliGenEMlib::PtParticleRatiopp(Double_t pt,
369 if (PtTsallis (pt, m2, c2, T2, n)>0) ratio = PtTsallis (pt, m1, c1, T1, n)/ PtTsallis (pt, m2, c2, T2, n);
375 Double_t AliGenEMlib::PtExponential(const Double_t *px, const Double_t *c){
376 const double &pt=px[0];
377 Double_t invYield = c[0]*exp(-pt*c[1]);
379 return invYield*(2*TMath::Pi()*pt);
382 // Hagedorn with additional Powerlaw
383 Double_t AliGenEMlib::PtModifiedHagedornPowerlaw(const Double_t *px, const Double_t *c){
384 const double &pt=px[0];
385 Double_t invYield = c[0]*pow(c[1]+pt*c[2],-c[3])*CrossOverLc(c[5],c[4],pt)+CrossOverRc(c[7],c[6],pt)*c[8]*pow(pt+0.001,-c[9]); //pt+0.001: prevent powerlaw from exploding for pt->0
387 return invYield*(2*TMath::Pi()*pt+0.001); //pt+0.001: be sure to be > 0
390 // double powerlaw for J/Psi yield
391 Double_t AliGenEMlib::PtDoublePowerlaw(const Double_t *px, const Double_t *c){
392 const double &pt=px[0];
393 Double_t yield = c[0]*pt*pow(1+pow(pt*c[1],2),-c[2]);
398 // integral over krollwada with S=1^2*(1-mee^2/mh^2)^3 from mee=0 up to mee=mh
399 // approximation is perfect for mh>20MeV
400 Double_t AliGenEMlib::IntegratedKrollWada(const Double_t *mh, const Double_t *){
401 if(*mh<0.002941) return 0;
402 return 2*log(*mh/0.000511/exp(1.75))/411.11/TMath::Pi();
405 //--------------------------------------------------------------------------
409 //--------------------------------------------------------------------------
410 Double_t AliGenEMlib::PtPromptRealGamma( const Double_t *px, const Double_t */*dummy*/ )
412 const static Double_t promptGammaPtParam[10] = { 8.715017e-02, 4.439243e-01, 1.011650e+00, 5.193789e+00, 2.194442e+01, 1.062124e+01, 2.469876e+01, 6.052479e-02, 5.611410e-02, 5.169743e+00 };
414 return PtModifiedHagedornPowerlaw(px,promptGammaPtParam)*GetTAA(fgSelectedCentrality);
417 Double_t AliGenEMlib::PtThermalRealGamma( const Double_t *px, const Double_t */*dummy*/ )
419 return PtExponential(px,fgkThermPtParam[fgSelectedCentrality]);
422 Double_t AliGenEMlib::PtDirectRealGamma( const Double_t *px, const Double_t */*dummy*/ )
424 return PtPromptRealGamma(px,px)+PtThermalRealGamma(px,px);
427 Int_t AliGenEMlib::IpDirectRealGamma(TRandom *)
432 Double_t AliGenEMlib::YDirectRealGamma( const Double_t *px, const Double_t */*dummy*/ )
437 Double_t AliGenEMlib::V2DirectRealGamma( const Double_t *px, const Double_t */*dummy*/ )
439 const static Double_t v2Param[3][16] = {
440 { 1.004245e-01, 1.057645e+00, 0.000000e+00, 2.836492e+00, 2.819767e+00, -6.231529e-02, 1.173054e+00, 2.836492e+00, 1.881590e-01, 1.183293e-02, 1.252249e+00, 0, 1, 4.876263e-03, 1.518526e+00, 4.5 } // 00-20, based on: https://aliceinfo.cern.ch/Notes/node/249
441 ,{ 1.619000e-01, 1.868201e+00, 6.983303e-15, 2.242170e+00, 4.484339e+00, -1.695734e-02, 2.301359e+00, 2.871469e+00, 1.619000e-01, 2.264320e-02, 1.028641e+00, 0, 1, 8.172203e-03, 1.271637e+00, 4.5 } // 20-40
442 ,{ 1.335000e-01, 1.076916e+00, 1.462605e-08, 2.785732e+00, 5.571464e+00, -2.356156e-02, 2.745437e+00, 2.785732e+00, 1.335000e-01, 1.571589e-02, 1.001131e+00, 0, 1, 5.179715e-03, 1.329344e+00, 4.5 } // 00-40
444 switch(fgSelectedCentrality){
445 case k0020: return V2Param(px,v2Param[0]); break;
446 case k2040: return V2Param(px,v2Param[1]); break;
447 case k0040: return V2Param(px,v2Param[2]); break;
448 // case k0010: return 0.43*V2Param(px,v2Param[1]); break; //V2Pizero(0010)/V2Pizero(2040)=0.43 +-0.025
449 // case k1020: return 0.75*V2Param(px,v2Param[1]); break; //V2Pizero(1020)/V2Pizero(2040)=0.75 +-0.04
450 case k0010: return 0.53*V2Param(px,v2Param[2]); break; //V2Pizero(0010)/V2Pizero(0040)=0.53 +-0.03
451 case k1020: return 0.91*V2Param(px,v2Param[2]); break; //V2Pizero(1020)/V2Pizero(0040)=0.91 +-0.04
457 //--------------------------------------------------------------------------
461 //--------------------------------------------------------------------------
462 Double_t AliGenEMlib::PtPromptVirtGamma( const Double_t *px, const Double_t */*dummy*/ )
464 return IntegratedKrollWada(px,px)*PtPromptRealGamma(px,px);
467 Double_t AliGenEMlib::PtThermalVirtGamma( const Double_t *px, const Double_t */*dummy*/ )
469 return IntegratedKrollWada(px,px)*PtThermalRealGamma(px,px);
472 Double_t AliGenEMlib::PtDirectVirtGamma( const Double_t *px, const Double_t */*dummy*/ )
474 return IntegratedKrollWada(px,px)*PtDirectRealGamma(px,px);
477 Int_t AliGenEMlib::IpDirectVirtGamma(TRandom *)
482 Double_t AliGenEMlib::YDirectVirtGamma( const Double_t *px, const Double_t */*dummy*/ )
487 Double_t AliGenEMlib::V2DirectVirtGamma( const Double_t *px, const Double_t */*dummy*/ )
489 return V2DirectRealGamma(px,px);
492 //--------------------------------------------------------------------------
496 //--------------------------------------------------------------------------
497 Int_t AliGenEMlib::IpPizero(TRandom *)
499 // Return pizero pdg code
503 Double_t AliGenEMlib::PtPizero( const Double_t *px, const Double_t */*dummy*/ )
505 // double pigammacorr=1; //misuse pion for direct gammas, tuned for 0040, iteration 0
506 // pigammacorr*=2.258900e-01*log(*px+0.001)+1.591291e+00; //iteration 1
507 // pigammacorr*=6.601943e-03*log(*px+0.001)+9.593698e-01; //iteration 2
508 // pigammacorr*=4.019933e-03*log(*px+0.001)+9.843412e-01; //iteration 3
509 // pigammacorr*=-4.543991e-03*log(*px+0.001)+1.010886e+00; //iteration 4
510 // return pigammacorr*PtPromptRealGamma(px,px); //now the gammas from the pi->gg decay have the pt spectrum of prompt real gammas
512 // fit functions and corresponding parameter of Pizero pT for pp @ 2.76 TeV and @ 7 TeV and for PbPb @ 2.76 TeV
527 switch(fgSelectedCollisionsSystem) {
529 switch (fgSelectedPtParamPi0){
530 case kPichargedParamNew:
531 // fit to pi charged, same data like in kPiOldChargedPbPb,
532 // but tested and compared against newest (2014) neutral pi measurement
533 switch (fgSelectedCentrality){
542 return PtModifiedHagedornPowerlaw(px,fgkPtParam[fgSelectedCentrality]);
545 n1=PtModifiedHagedornPowerlaw(px,fgkPtParam[k0005]);
546 n2=PtModifiedHagedornPowerlaw(px,fgkPtParam[k0510]);
550 n1=PtModifiedHagedornPowerlaw(px,fgkPtParam[k0005]);
551 n2=PtModifiedHagedornPowerlaw(px,fgkPtParam[k0510]);
552 n3=PtModifiedHagedornPowerlaw(px,fgkPtParam[k1020]);
553 return (n1+n2+2*n3)/4;
556 n1=PtModifiedHagedornPowerlaw(px,fgkPtParam[k0005]);
557 n2=PtModifiedHagedornPowerlaw(px,fgkPtParam[k0510]);
558 n3=PtModifiedHagedornPowerlaw(px,fgkPtParam[k1020]);
559 n4=PtModifiedHagedornPowerlaw(px,fgkPtParam[k2040]);
560 return (n1+n2+2*n3+4*n4)/8;
563 n1=PtModifiedHagedornPowerlaw(px,fgkPtParam[k4050]);
564 n2=PtModifiedHagedornPowerlaw(px,fgkPtParam[k5060]);
571 case kPichargedParamOld:
572 switch (fgSelectedCentrality){
573 // fit to pi charged v1
574 // charged pion from ToF, unidentified hadrons scaled with pion from TPC
575 // for Pb-Pb @ 2.76 TeV
577 kc=1347.5; kp0=0.9393; kp1=2.254; kn=11.294; kcT=0.002537; kT=2.414;
578 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
582 kc=1256.1; kp0=0.9545; kp1=2.248; kn=11.291; kcT=0.002662; kT=2.326;
583 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
586 kc=7421.6; kp0=1.2059; kp1=1.520; kn=10.220; kcT=0.002150; kT=2.196;
587 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
590 kc=1183.2; kp0=1.0478; kp1=1.623; kn=9.8073; kcT=0.00198333; kT=2.073;
591 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
593 // the following is what went into the Pb-Pb preliminary approval (0-10%)
595 kc=1296.0; kp0=0.968; kp1=2.567; kn=12.27; kcT=0.004219; kT=2.207;
596 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
599 kc=986.0; kp0=0.9752; kp1=2.376; kn=11.62; kcT=0.003116; kT=2.213;
600 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
603 kc=17337.0; kp0=1.337; kp1=1.507; kn=10.629; kcT=0.00184; kT=2.234;
604 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
607 kc=6220.0; kp0=1.322; kp1=1.224; kn=9.378; kcT=0.000595; kT=2.383;
608 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
611 kc=2319.0; kp0=1.267; kp1=1.188; kn=9.044; kcT=0.000437; kT=2.276;
612 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
615 kc=4724.0; kp0=1.319; kp1=1.195; kn=9.255; kcT=0.000511; kT=2.344;
616 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
619 kc=2842.0; kp0=1.465; kp1=0.8324; kn=8.167; kcT=0.0001049; kT=2.29;
620 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
623 oldCent=fgSelectedCentrality;
624 fgSelectedCentrality=k0010;
626 fgSelectedCentrality=k1020;
628 fgSelectedCentrality=oldCent;
632 oldCent=fgSelectedCentrality;
633 fgSelectedCentrality=k0010;
635 fgSelectedCentrality=k1020;
637 fgSelectedCentrality=k2040;
639 fgSelectedCentrality=oldCent;
640 return (n1+n2+2*n3)/4;
645 case kPichargedParam:
646 switch (fgSelectedCentrality){
653 return PtModTsallis( *px,
654 fgkModTsallisParamPiChargedPbPb[fgSelectedCentrality][0],
655 fgkModTsallisParamPiChargedPbPb[fgSelectedCentrality][1],
656 fgkModTsallisParamPiChargedPbPb[fgSelectedCentrality][2],
657 fgkModTsallisParamPiChargedPbPb[fgSelectedCentrality][3],
658 fgkModTsallisParamPiChargedPbPb[fgSelectedCentrality][4],
659 fgkModTsallisParamPiChargedPbPb[fgSelectedCentrality][5],
660 fgkModTsallisParamPiChargedPbPb[fgSelectedCentrality][6],
668 switch (fgSelectedCentrality){
675 return PtModTsallis( *px,
676 fgkModTsallisParamPi0PbPb[fgSelectedCentrality][0],
677 fgkModTsallisParamPi0PbPb[fgSelectedCentrality][1],
678 fgkModTsallisParamPi0PbPb[fgSelectedCentrality][2],
679 fgkModTsallisParamPi0PbPb[fgSelectedCentrality][3],
680 fgkModTsallisParamPi0PbPb[fgSelectedCentrality][4],
681 fgkModTsallisParamPi0PbPb[fgSelectedCentrality][5],
682 fgkModTsallisParamPi0PbPb[fgSelectedCentrality][6],
694 // fit to charged pions for p-Pb @ 5.02TeV
695 switch (fgSelectedPtParamPi0){
696 case kPichargedParam:
697 kc=235.5; ka=0.6903; kb=0.06864; kp0=2.289; kp1=0.5872; kd=0.6474; kn=7.842;
698 return PtModifiedHagedornExp2(*px,kc,ka,kb,kp0,kp1,kd,kn);
705 switch (fgSelectedPtParamPi0){
706 // Tsallis fit to final pizero (PHOS+PCM) -> used for publication
708 case kPizeroParam: // fit to combined spectrum with stat errors only
709 return PtTsallis(*px,fgkParamSetPi07TeV[kPizeroParam][0],fgkParamSetPi07TeV[kPizeroParam][1],fgkParamSetPi07TeV[kPizeroParam][2],fgkParamSetPi07TeV[kPizeroParam][3]);
711 case kPizeroParamlow:
712 return PtModTsallis( *px,
713 fgkParamSetPi07TeV[kPizeroParamlow][0],
714 fgkParamSetPi07TeV[kPizeroParamlow][1],
715 fgkParamSetPi07TeV[kPizeroParamlow][2],
716 fgkParamSetPi07TeV[kPizeroParamlow][3],
717 fgkParamSetPi07TeV[kPizeroParamlow][4],
718 fgkParamSetPi07TeV[kPizeroParamlow][5],
719 fgkParamSetPi07TeV[kPizeroParamlow][6],
722 case kPizeroParamhigh:
723 return PtModTsallis( *px,
724 fgkParamSetPi07TeV[kPizeroParamhigh][0],
725 fgkParamSetPi07TeV[kPizeroParamhigh][1],
726 fgkParamSetPi07TeV[kPizeroParamhigh][2],
727 fgkParamSetPi07TeV[kPizeroParamhigh][3],
728 fgkParamSetPi07TeV[kPizeroParamhigh][4],
729 fgkParamSetPi07TeV[kPizeroParamhigh][5],
730 fgkParamSetPi07TeV[kPizeroParamhigh][6],
733 case kPichargedParamhigh:
734 return PtModTsallis( *px,
735 fgkParamSetPi07TeV[kPichargedParamhigh][0],
736 fgkParamSetPi07TeV[kPichargedParamhigh][1],
737 fgkParamSetPi07TeV[kPichargedParamhigh][2],
738 fgkParamSetPi07TeV[kPichargedParamhigh][3],
739 fgkParamSetPi07TeV[kPichargedParamhigh][4],
740 fgkParamSetPi07TeV[kPichargedParamhigh][5],
741 fgkParamSetPi07TeV[kPichargedParamhigh][6],
751 switch (fgSelectedPtParamPi0){
752 // Tsallis fit to pizero: published pi0
754 case kPizeroParam: //published fit parameters
755 return PtTsallis(*px,fgkParamSetPi02760GeV[kPizeroParam][0],fgkParamSetPi02760GeV[kPizeroParam][1],fgkParamSetPi02760GeV[kPizeroParam][2],fgkParamSetPi02760GeV[kPizeroParam][3]);
757 case kPizeroParamlow:
758 return PtModTsallis( *px,
759 fgkParamSetPi02760GeV[kPizeroParamlow][0],
760 fgkParamSetPi02760GeV[kPizeroParamlow][1],
761 fgkParamSetPi02760GeV[kPizeroParamlow][2],
762 fgkParamSetPi02760GeV[kPizeroParamlow][3],
763 fgkParamSetPi02760GeV[kPizeroParamlow][4],
764 fgkParamSetPi02760GeV[kPizeroParamlow][5],
765 fgkParamSetPi02760GeV[kPizeroParamlow][6],
768 case kPizeroParamhigh:
769 return PtModTsallis( *px,
770 fgkParamSetPi02760GeV[kPizeroParamhigh][0],
771 fgkParamSetPi02760GeV[kPizeroParamhigh][1],
772 fgkParamSetPi02760GeV[kPizeroParamhigh][2],
773 fgkParamSetPi02760GeV[kPizeroParamhigh][3],
774 fgkParamSetPi02760GeV[kPizeroParamhigh][4],
775 fgkParamSetPi02760GeV[kPizeroParamhigh][5],
776 fgkParamSetPi02760GeV[kPizeroParamhigh][6],
779 case kPichargedParam:
780 return PtModTsallis( *px,
781 fgkParamSetPi02760GeV[kPichargedParam][0],
782 fgkParamSetPi02760GeV[kPichargedParam][1],
783 fgkParamSetPi02760GeV[kPichargedParam][2],
784 fgkParamSetPi02760GeV[kPichargedParam][3],
785 fgkParamSetPi02760GeV[kPichargedParam][4],
786 fgkParamSetPi02760GeV[kPichargedParam][5],
787 fgkParamSetPi02760GeV[kPichargedParam][6],
790 case kPizeroParamAlter:
792 fgkParamSetPi02760GeV[kPizeroParamAlter][0],
793 fgkParamSetPi02760GeV[kPizeroParamAlter][1],
794 fgkParamSetPi02760GeV[kPizeroParamAlter][2],
795 fgkParamSetPi02760GeV[kPizeroParamAlter][3],
796 fgkParamSetPi02760GeV[kPizeroParamAlter][4]);
798 case kPizeroParamAlterlow:
800 fgkParamSetPi02760GeV[kPizeroParamAlter][0],
801 fgkParamSetPi02760GeV[kPizeroParamAlter][1],
802 fgkParamSetPi02760GeV[kPizeroParamAlter][2],
803 fgkParamSetPi02760GeV[kPizeroParamAlter][3],
804 fgkParamSetPi02760GeV[kPizeroParamAlter][4]);
810 switch (fgSelectedPtParamPi0){
811 // Tsallis fit to pizero: published pi0
813 case kPizeroParam: //published fit parameters
814 return PtTsallis( *px,
815 fgkParamSetPi0900GeV[kPizeroParam][0],
816 fgkParamSetPi0900GeV[kPizeroParam][1],
817 fgkParamSetPi0900GeV[kPizeroParam][2],
818 fgkParamSetPi0900GeV[kPizeroParam][3]);
820 case kPizeroParamAlter:
822 fgkParamSetPi0900GeV[kPizeroParamAlter][0],
823 fgkParamSetPi0900GeV[kPizeroParamAlter][1],
824 fgkParamSetPi0900GeV[kPizeroParamAlter][2],
825 fgkParamSetPi0900GeV[kPizeroParamAlter][3],
826 fgkParamSetPi0900GeV[kPizeroParamAlter][4]);
828 case kPizeroParamhigh:
830 fgkParamSetPi0900GeV[kPizeroParamAlterlow][0],
831 fgkParamSetPi0900GeV[kPizeroParamAlterlow][1],
832 fgkParamSetPi0900GeV[kPizeroParamAlterlow][2],
833 fgkParamSetPi0900GeV[kPizeroParamAlterlow][3],
834 fgkParamSetPi0900GeV[kPizeroParamAlterlow][4]);
846 Double_t AliGenEMlib::YPizero( const Double_t *py, const Double_t */*dummy*/ )
852 Double_t AliGenEMlib::V2Pizero( const Double_t *px, const Double_t */*dummy*/ )
854 double n1,n2,n3,n4,n5;
855 double v1,v2,v3,v4,v5;
856 switch(fgSelectedCollisionsSystem|fgSelectedCentrality) {
858 n1=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k0005]);
859 v1=V2Param(px,fgkV2param[k0005]);
860 n2=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k0510]);
861 v2=V2Param(px,fgkV2param[k0510]);
862 return (n1*v1+n2*v2)/(n1+n2);
865 n1=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k0005]);
866 v1=V2Param(px,fgkV2param[k0005]);
867 n2=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k0510]);
868 v2=V2Param(px,fgkV2param[k0510]);
869 n3=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k1020]);
870 v3=V2Param(px,fgkV2param[k1020]);
871 return (n1*v1+n2*v2+2*n3*v3)/(n1+n2+2*n3);
874 n1=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k2030]);
875 v1=V2Param(px,fgkV2param[k2030]);
876 n2=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k3040]);
877 v2=V2Param(px,fgkV2param[k3040]);
878 return (n1*v1+n2*v2)/(n1+n2);
881 n1=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k0005]);
882 v1=V2Param(px,fgkV2param[k0005]);
883 n2=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k0510]);
884 v2=V2Param(px,fgkV2param[k0510]);
885 n3=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k1020]);
886 v3=V2Param(px,fgkV2param[k1020]);
887 n4=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k2030]);
888 v4=V2Param(px,fgkV2param[k2030]);
889 n5=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k3040]);
890 v5=V2Param(px,fgkV2param[k3040]);
891 return (n1*v1+n2*v2+2*n3*v3+2*n4*v4+2*n5*v5)/(n1+n2+2*n3+2*n4+2*n5);
895 return V2Param(px,fgkV2param[fgSelectedCentrality]);
899 //--------------------------------------------------------------------------
903 //--------------------------------------------------------------------------
904 Int_t AliGenEMlib::IpEta(TRandom *)
906 // Return eta pdg code
910 Double_t AliGenEMlib::PtEta( const Double_t *px, const Double_t */*dummy*/ )
913 // fit functions and corresponding parameter of Eta pT for pp @ 2.76 TeV and @ 7 TeV
916 // parameters for Tsallis fit to eta
922 // parameters for Tsallis fit to pi0
928 // parameters for fit to eta/pi0
937 switch(fgSelectedCollisionsSystem){
939 switch(fgSelectedPtParamEta){
940 // Tsallis fit to final eta (PHOS+PCM) -> used stat errors only for final publication
942 case kEtaParamRatiopp:
943 krm1 = 0.547853; krm2 = 0.134977; krc1 = 1.44198e+11; krc2 = 2.06751e+12 ; krT1 = 0.154567 ; krT2 = 0.139634 ; krn=32.0715;
944 kmPi0=0.134977; kcPi0=2.31335/(2*TMath::Pi()); kTPi0=0.1433; knPi0=7.003;
945 return PtParticleRatiopp(*px, krm1, krm2, krc1, krc2, krT1, krT2, krn) * PtTsallis(*px,kmPi0,kcPi0,kTPi0,knPi0);
948 km = 0.547853; kc = 0.290164/(2*TMath::Pi()); kT = 0.212; kn = 7.352;
949 return PtTsallis(*px,km,kc,kT,kn);
951 // NOTE: None of these parametrisations look right - no idea where they come from
953 km = 0.547853; kc = 1.970; kT = 0.253; kn = 7.591;
954 return PtTsallis(*px,km,kc,kT,kn);
956 case kEtaParampphigh:
957 km = 0.547853; kc = 3.060; kT = 0.212; kn = 6.578;
958 return PtTsallis(*px,km,kc,kT,kn);
961 return MtScal(*px,kEta);
964 switch(fgSelectedPtParamEta){
965 // Tsallis fit to preliminary eta (QM'11)
967 // NOTE: None of these parametrisations look right - no idea where they come from
969 km = 0.547853; kc = 1.971; kT = 0.188; kn = 6.308;
970 return PtTsallis(*px,km,kc,kT,kn);
972 km = 0.547853; kc = 1.228; kT = 0.220; kn = 7.030;
973 return PtTsallis(*px,km,kc,kT,kn);
975 case kEtaParampphigh:
976 km = 0.547853; kc = 2.802; kT = 0.164; kn = 5.815;
977 return PtTsallis(*px,km,kc,kT,kn);
980 return MtScal(*px,kEta);
984 return MtScal(*px,kEta);
989 Double_t AliGenEMlib::YEta( const Double_t *py, const Double_t */*dummy*/ )
994 Double_t AliGenEMlib::V2Eta( const Double_t *px, const Double_t */*dummy*/ )
996 return KEtScal(*px,kEta); //V2Param(px,fgkV2param[1][fgSelectedV2Param]);
999 //--------------------------------------------------------------------------
1003 //--------------------------------------------------------------------------
1004 Int_t AliGenEMlib::IpRho0(TRandom *)
1006 // Return rho pdg code
1010 Double_t AliGenEMlib::PtRho0( const Double_t *px, const Double_t */*dummy*/ )
1013 return MtScal(*px,kRho0);
1016 Double_t AliGenEMlib::YRho0( const Double_t *py, const Double_t */*dummy*/ )
1021 Double_t AliGenEMlib::V2Rho0( const Double_t *px, const Double_t */*dummy*/ )
1023 return KEtScal(*px,kRho0);
1027 //--------------------------------------------------------------------------
1031 //--------------------------------------------------------------------------
1032 Int_t AliGenEMlib::IpOmega(TRandom *)
1034 // Return omega pdg code
1038 Double_t AliGenEMlib::PtOmega( const Double_t *px, const Double_t */*dummy*/ )
1041 // fit functions and corresponding parameter of Omega pT for preliminary pp @ 7 TeV data
1044 // parameters for Tsallis fit to omega
1050 // parameters for Tsallis fit to pi0
1051 Double_t kmPi0 = 0.;
1052 Double_t kcPi0 = 0.;
1053 Double_t kTPi0 = 0.;
1054 Double_t knPi0 = 0.;
1056 // parameters for fit to omega/pi0
1065 switch(fgSelectedCollisionsSystem){
1067 switch(fgSelectedPtParamOmega){
1068 // Tsallis fit to final omega (PHOS) -> stat errors only, preliminary QM12
1070 case kOmegaParamRatiopp:
1071 krm1 = 0.78265; krm2 = 0.134977; krc1 = 21240028553.4600143433; krc2 = 168266377865.0805969238 ; krT1 = 0.21175 ; krT2 = 0.14328 ; krn=12.8831831756;
1072 kmPi0=0.134977; kcPi0=2.31335/(2*TMath::Pi()); kTPi0=0.1433; knPi0=7.003;
1073 return PtParticleRatiopp(*px, krm1, krm2, krc1, krc2, krT1, krT2, krn) * PtTsallis(*px,kmPi0,kcPi0,kTPi0,knPi0);
1076 km = 0.78265; kc = 0.340051/(2*TMath::Pi()); kT = 0.206; kn = 6.31422;
1077 return PtTsallis(*px,km,kc,kT,kn);
1080 return MtScal(*px,kOmega);
1083 return MtScal(*px,kOmega);
1087 return MtScal(*px,kOmega);
1091 Double_t AliGenEMlib::YOmega( const Double_t *py, const Double_t */*dummy*/ )
1096 Double_t AliGenEMlib::V2Omega( const Double_t *px, const Double_t */*dummy*/ )
1098 return KEtScal(*px,kOmega);
1103 //--------------------------------------------------------------------------
1107 //--------------------------------------------------------------------------
1108 Int_t AliGenEMlib::IpEtaprime(TRandom *)
1110 // Return etaprime pdg code
1114 Double_t AliGenEMlib::PtEtaprime( const Double_t *px, const Double_t */*dummy*/ )
1117 return MtScal(*px,kEtaprime);
1120 Double_t AliGenEMlib::YEtaprime( const Double_t *py, const Double_t */*dummy*/ )
1126 Double_t AliGenEMlib::V2Etaprime( const Double_t *px, const Double_t */*dummy*/ )
1128 return KEtScal(*px,kEtaprime);
1131 //--------------------------------------------------------------------------
1135 //--------------------------------------------------------------------------
1136 Int_t AliGenEMlib::IpPhi(TRandom *)
1138 // Return phi pdg code
1142 Double_t AliGenEMlib::PtPhi( const Double_t *px, const Double_t */*dummy*/ )
1145 // fit functions and corresponding parameter of Phi pT for preliminary pp @ 7 TeV data
1146 // and PbPb collisions
1149 // parameters for Tsallis fit to phi
1156 switch(fgSelectedCollisionsSystem){
1158 // switch(fgSelectedCentrality){
1159 // // Tsallis fit to final phi->K+K- (TPC, ITS) -> stat+syst
1161 // switch(fgSelectedPtParamPhi){
1162 // case kPhiParamPbPb:
1163 // km = 0.78265; kc = 0.340051/(2*TMath::Pi()); kT = 0.206; kn = 6.31422;
1164 // return PtTsallis(*px,km,kc,kT,kn);
1167 // return MtScal(*px,kPhi);
1170 // return MtScal(*px,kPhi);
1173 switch(fgSelectedPtParamPhi){
1174 // Tsallis fit to final phi->K+K- (TPC, ITS) -> stat+syst
1177 km = 1.01946; kc = 0.0269578/(2*TMath::Pi()); kT = 0.2718119311; kn = 6.6755739295;
1178 return PtTsallis(*px,km,kc,kT,kn);
1181 return MtScal(*px,kPhi);
1184 return MtScal(*px,kPhi);
1187 return MtScal(*px,kPhi);
1191 Double_t AliGenEMlib::YPhi( const Double_t *py, const Double_t */*dummy*/ )
1196 Double_t AliGenEMlib::V2Phi( const Double_t *px, const Double_t */*dummy*/ )
1198 return KEtScal(*px,kPhi);
1201 //--------------------------------------------------------------------------
1205 //--------------------------------------------------------------------------
1206 Int_t AliGenEMlib::IpJpsi(TRandom *)
1208 // Return phi pdg code
1212 Double_t AliGenEMlib::PtJpsi( const Double_t *px, const Double_t */*dummy*/ )
1215 // based on: //https://aliceinfo.cern.ch/Notes/node/242, https://aliceinfo.cern.ch/Figure/node/3457, www.sciencedirect.com/science/article/pii/S0370269312011446
1216 const static Double_t jpsiPtParam[2][3] = {
1217 { 9.686337e-03, 2.629441e-01, 4.552044e+00 }
1218 ,{ 3.403549e-03, 2.897061e-01, 3.644278e+00 }
1220 const double pt=px[0]*2.28/2.613;
1221 switch(fgSelectedCollisionsSystem|fgSelectedCentrality) {
1222 case kPbPb|k0020: return 2.405*PtDoublePowerlaw(&pt,jpsiPtParam[0]); break;
1223 case kPbPb|k2040: return 2.405*PtDoublePowerlaw(&pt,jpsiPtParam[1]); break;
1224 case kPbPb|k0040: return 0.5*2.405*(PtDoublePowerlaw(&pt,jpsiPtParam[0])+PtDoublePowerlaw(&pt,jpsiPtParam[1])); break;
1226 return MtScal(*px,kJpsi);
1231 Double_t AliGenEMlib::YJpsi( const Double_t *py, const Double_t */*dummy*/ )
1236 Double_t AliGenEMlib::V2Jpsi( const Double_t *px, const Double_t */*dummy*/ )
1238 const static Double_t v2Param[16] = { 1.156000e-01, 8.936854e-01, 0.000000e+00, 4.000000e+00, 6.222375e+00, -1.600314e-01, 8.766676e-01, 7.824143e+00, 1.156000e-01, 3.484503e-02, 4.413685e-01, 0, 1, 3.484503e-02, 4.413685e-01, 7.2 };
1239 switch(fgSelectedCollisionsSystem|fgSelectedCentrality){
1240 case kPbPb|k2040: return V2Param(px,v2Param); break;
1241 case kPbPb|k0010: return 0.43*V2Param(px,v2Param); break; //V2Pizero(0010)/V2Pizero(2040)=0.43 +-0.025
1242 case kPbPb|k1020: return 0.75*V2Param(px,v2Param); break; //V2Pizero(1020)/V2Pizero(2040)=0.75 +-0.04
1243 case kPbPb|k0020: return 0.66*V2Param(px,v2Param); break; //V2Pizero(0020)/V2Pizero(2040)=0.66 +-0.035
1244 case kPbPb|k0040: return 0.82*V2Param(px,v2Param); break; //V2Pizero(0040)/V2Pizero(2040)=0.82 +-0.05
1246 return KEtScal(*px,kJpsi);
1251 //--------------------------------------------------------------------------
1255 //--------------------------------------------------------------------------
1256 Int_t AliGenEMlib::IpSigma(TRandom *)
1258 // Return Sigma pdg code
1262 Double_t AliGenEMlib::PtSigma( const Double_t *px, const Double_t */*dummy*/ )
1265 return MtScal(*px,kSigma0);
1268 Double_t AliGenEMlib::YSigma( const Double_t *py, const Double_t */*dummy*/ )
1274 Double_t AliGenEMlib::V2Sigma0( const Double_t *px, const Double_t */*dummy*/ )
1276 return KEtScal(*px,kSigma0,3);
1280 //--------------------------------------------------------------------------
1284 //--------------------------------------------------------------------------
1286 Int_t AliGenEMlib::IpK0short(TRandom *)
1288 // Return kzeroshort pdg code
1292 Double_t AliGenEMlib::PtK0short( const Double_t *px, const Double_t */*dummy*/ )
1303 switch (fgSelectedCentrality){
1305 ka =9.21859; kb=5.71299; kc=-3.34251; kd=0.48796; ke=0.0192272; kf=3.82224;
1306 return PtXQCD( *px, ka, kb, kc, kd, ke, kf);
1309 ka=6.2377; kb=5.6133; kc=-117.295; kd=3.51154; ke=36.3047; kf=0.456243;
1310 return PtXQCD( *px, ka, kb, kc, kd, ke, kf);
1313 ka=7.7278; kb=5.6686; kc=-3.29259; kd=0.475403; ke=0.0223951; kf=3.69326;
1314 return PtXQCD( *px, ka, kb, kc, kd, ke, kf);
1317 ka=3.38301; kb= 5.5323; kc=-96.078; kd=3.30782; ke=31.085; kf=0.466908;
1318 return PtXQCD( *px, ka, kb, kc, kd, ke, kf);
1321 ka=5.55478; kb=5.61919; kc=-125.635; kd=3.5637; ke=38.9668; kf=0.47068;
1322 return PtXQCD( *px, ka, kb, kc, kd, ke, kf);
1325 ka=0.731606; kb=5.49931; kc=-25.3106; kd=2.2439; ke=8.25063; kf= 0.289288;
1326 return PtXQCD( *px, ka, kb, kc, kd, ke, kf);
1329 return MtScal(*px,kK0s);
1334 Double_t AliGenEMlib::YK0short( const Double_t *py, const Double_t */*dummy*/ )
1340 Double_t AliGenEMlib::V2K0sshort( const Double_t *px, const Double_t */*dummy*/ )
1342 return KEtScal(*px,kK0s);
1346 //--------------------------------------------------------------------------
1350 //--------------------------------------------------------------------------
1351 Int_t AliGenEMlib::IpDeltaPlPl(TRandom *)
1353 // Return Delta++ pdg code
1357 Double_t AliGenEMlib::PtDeltaPlPl( const Double_t *px, const Double_t */*dummy*/ )
1360 return MtScal(*px,kDeltaPlPl);
1363 Double_t AliGenEMlib::YDeltaPlPl( const Double_t *py, const Double_t */*dummy*/ )
1369 Double_t AliGenEMlib::V2DeltaPlPl( const Double_t *px, const Double_t */*dummy*/ )
1371 return KEtScal(*px,kDeltaPlPl,3);
1375 //--------------------------------------------------------------------------
1379 //--------------------------------------------------------------------------
1380 Int_t AliGenEMlib::IpDeltaPl(TRandom *)
1382 // Return Delta+ pdg code
1386 Double_t AliGenEMlib::PtDeltaPl( const Double_t *px, const Double_t */*dummy*/ )
1389 return MtScal(*px,kDeltaPl);
1392 Double_t AliGenEMlib::YDeltaPl( const Double_t *py, const Double_t */*dummy*/ )
1398 Double_t AliGenEMlib::V2DeltaPl( const Double_t *px, const Double_t */*dummy*/ )
1400 return KEtScal(*px,kDeltaPl,3);
1404 //--------------------------------------------------------------------------
1408 //--------------------------------------------------------------------------
1409 Int_t AliGenEMlib::IpDeltaMi(TRandom *)
1411 // Return Delta- pdg code
1415 Double_t AliGenEMlib::PtDeltaMi( const Double_t *px, const Double_t */*dummy*/ )
1418 return MtScal(*px,kDeltaMi);
1421 Double_t AliGenEMlib::YDeltaMi( const Double_t *py, const Double_t */*dummy*/ )
1427 Double_t AliGenEMlib::V2DeltaMi( const Double_t *px, const Double_t */*dummy*/ )
1429 return KEtScal(*px,kDeltaMi,3);
1434 //--------------------------------------------------------------------------
1438 //--------------------------------------------------------------------------
1439 Int_t AliGenEMlib::IpDeltaZero(TRandom *)
1441 // Return Delta0 pdg code
1445 Double_t AliGenEMlib::PtDeltaZero( const Double_t *px, const Double_t */*dummy*/ )
1448 return MtScal(*px,kDeltaZero);
1451 Double_t AliGenEMlib::YDeltaZero( const Double_t *py, const Double_t */*dummy*/ )
1457 Double_t AliGenEMlib::V2DeltaZero( const Double_t *px, const Double_t */*dummy*/ )
1459 return KEtScal(*px,kDeltaZero,3);
1463 //--------------------------------------------------------------------------
1467 //--------------------------------------------------------------------------
1468 Int_t AliGenEMlib::IpRhoPl(TRandom *)
1470 // Return rho+ pdg code
1474 Double_t AliGenEMlib::PtRhoPl( const Double_t *px, const Double_t */*dummy*/ )
1477 return MtScal(*px,kRhoPl);
1480 Double_t AliGenEMlib::YRhoPl( const Double_t *py, const Double_t */*dummy*/ )
1486 Double_t AliGenEMlib::V2RhoPl( const Double_t *px, const Double_t */*dummy*/ )
1488 return KEtScal(*px,kRhoPl);
1492 //--------------------------------------------------------------------------
1496 //--------------------------------------------------------------------------
1497 Int_t AliGenEMlib::IpRhoMi(TRandom *)
1499 // Return rho- pdg code
1503 Double_t AliGenEMlib::PtRhoMi( const Double_t *px, const Double_t */*dummy*/ )
1506 return MtScal(*px,kRhoMi);
1509 Double_t AliGenEMlib::YRhoMi( const Double_t *py, const Double_t */*dummy*/ )
1515 Double_t AliGenEMlib::V2RhoMi( const Double_t *px, const Double_t */*dummy*/ )
1517 return KEtScal(*px,kRhoMi);
1521 //--------------------------------------------------------------------------
1525 //--------------------------------------------------------------------------
1526 Int_t AliGenEMlib::IpK0star(TRandom *)
1528 // Return K0 * pdg code
1532 Double_t AliGenEMlib::PtK0star( const Double_t *px, const Double_t */*dummy*/ )
1535 return MtScal(*px,kK0star);
1538 Double_t AliGenEMlib::YK0star( const Double_t *py, const Double_t */*dummy*/ )
1544 Double_t AliGenEMlib::V2K0star( const Double_t *px, const Double_t */*dummy*/ )
1546 return KEtScal(*px,kK0star);
1551 Double_t AliGenEMlib::YFlat(Double_t /*y*/)
1553 //--------------------------------------------------------------------------
1555 // flat rapidity distribution
1557 //--------------------------------------------------------------------------
1566 //=============================================================
1570 //=============================================================
1572 Double_t AliGenEMlib::MtScal(Double_t pt, Int_t np)
1574 // Function for the calculation of the Pt distribution for a
1575 // given particle np, from the pizero Pt distribution using
1578 Double_t scaledPt = sqrt(pt*pt + fgkHM[np]*fgkHM[np] - fgkHM[0]*fgkHM[0]);
1579 Double_t scaledYield = PtPizero(&scaledPt, (Double_t*) 0);
1581 // VALUE MESON/PI AT 5 GeV/c
1582 Double_t NormPt = 5.;
1583 Double_t scaledNormPt = sqrt(NormPt*NormPt + fgkHM[np]*fgkHM[np] - fgkHM[0]*fgkHM[0]);
1586 switch (fgSelectedCollisionsSystem){
1604 printf("<AliGenEMlib::MtScal> no collision system has been given\n");
1607 Double_t norm = fgkMtFactor[selectedCol][np] * (PtPizero(&NormPt, (Double_t*) 0) / PtPizero(&scaledNormPt, (Double_t*) 0));
1609 return norm*(pt/scaledPt)*scaledYield;
1612 Double_t AliGenEMlib::KEtScal(Double_t pt, Int_t np, Int_t nq)
1614 Double_t scaledPt = sqrt(pow(2.0/nq*(sqrt(pt*pt+fgkHM[np]*fgkHM[np])-fgkHM[np])+fgkHM[0],2)-fgkHM[0]*fgkHM[0]);
1615 return V2Pizero(&scaledPt, (Double_t*) 0);
1618 Double_t AliGenEMlib::V2Param(const Double_t *px, const Double_t *par)
1620 // Very general parametrization of the v2
1622 const double &pt=px[0];
1623 double val=CrossOverLc(par[4],par[3],pt)*(2*par[0]/(1+TMath::Exp(par[1]*(par[2]-pt)))-par[0])+CrossOverRc(par[4],par[3],pt)*((par[8]-par[5])/(1+TMath::Exp(par[6]*(pt-par[7])))+par[5]);
1625 if(fgSelectedV2Systematic){
1626 double syspt=pt>par[15]?par[15]:pt;
1627 sys=fgSelectedV2Systematic*par[11+fgSelectedV2Systematic*2]*pow(syspt,par[12+fgSelectedV2Systematic*2]);
1629 return std::max(val+sys,0.0);
1632 Double_t AliGenEMlib::V2Flat(const Double_t */*px*/, const Double_t */*param*/)
1639 Double_t AliGenEMlib::GetTAA(Int_t cent){
1640 const static Double_t taa[16] = { 1.0, // pp
1659 //==========================================================================
1663 //==========================================================================
1665 typedef Double_t (*GenFunc) (const Double_t*, const Double_t*);
1667 typedef Int_t (*GenFuncIp) (TRandom *);
1669 GenFunc AliGenEMlib::GetPt(Int_t param, const char * tname) const
1671 // Return pointer to pT parameterisation
1673 TString sname(tname);
1676 case kDirectRealGamma:
1677 func=PtDirectRealGamma;
1679 case kDirectVirtGamma:
1680 func=PtDirectVirtGamma;
1732 printf("<AliGenEMlib::GetPt> unknown parametrisation\n");
1737 GenFunc AliGenEMlib::GetY(Int_t param, const char * tname) const
1739 // Return pointer to y- parameterisation
1741 TString sname(tname);
1744 case kDirectRealGamma:
1745 func=YDirectRealGamma;
1747 case kDirectVirtGamma:
1748 func=YDirectVirtGamma;
1800 printf("<AliGenEMlib::GetY> unknown parametrisation\n");
1805 GenFuncIp AliGenEMlib::GetIp(Int_t param, const char * tname) const
1807 // Return pointer to particle type parameterisation
1809 TString sname(tname);
1812 case kDirectRealGamma:
1813 func=IpDirectRealGamma;
1815 case kDirectVirtGamma:
1816 func=IpDirectVirtGamma;
1868 printf("<AliGenEMlib::GetIp> unknown parametrisation\n");
1873 GenFunc AliGenEMlib::GetV2(Int_t param, const char * tname) const
1875 // Return pointer to v2-parameterisation
1877 TString sname(tname);
1880 case kDirectRealGamma:
1881 func=V2DirectRealGamma;
1883 case kDirectVirtGamma:
1884 func=V2DirectVirtGamma;
1937 printf("<AliGenEMlib::GetV2> unknown parametrisation\n");