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 *
9 * without fee, provided that the above copyright notice appears in all *
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 *
13 * provided "as is" without express or implied warranty. *
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::fgSelectedPtParam=AliGenEMlib::kPizero7TeVpp;
40 Int_t AliGenEMlib::fgSelectedCentrality=AliGenEMlib::kpp;
41 Int_t AliGenEMlib::fgSelectedV2Systematic=AliGenEMlib::kNoV2Sys;
43 Double_t AliGenEMlib::CrossOverLc(const double a, const double b, const double x){
44 if(x<b-a/2) return 1.0;
45 else if(x>b+a/2) return 0.0;
46 else return cos(((x-b)/a+0.5)*TMath::Pi())/2+0.5;
48 Double_t AliGenEMlib::CrossOverRc(const double a, const double b, const double x){
49 return 1-CrossOverLc(a,b,x);
52 const Double_t AliGenEMlib::fgkV2param[16][15] = {
53 // charged pion cent, based on
54 { 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 } // pp no V2
55 ,{ 6.551541e-02, 1.438274e+00, 4.626379e-02, 2.512477e+00, 1.371824e+00, 2.964543e-02, 4.630670e+00, 4.228889e+00, 6.037970e-02, 1.425269e-03, 1.144124e+00, 0, 1, 9.154016e-04, 1.288285e+00 } // 0-5, Francesco
56 ,{ 1.171360e-01, 1.333046e+00, 4.536752e-02, 3.046448e+00, 3.903714e+00, 4.407124e-02, 9.122534e-01, 4.834519e+00, 1.186237e-01, 2.179274e-03, 8.968478e-01, 0, 1, 1.501201e-03, 9.902785e-01 } // 5-10, Francesco
57 ,{ 1.748423e-01, 1.285211e+00, 4.219624e-02, 4.019148e+00, 4.255047e+00, 7.956751e-03, 1.184731e-01,-9.211391e+00, 5.768716e-01, 3.127110e-03, 6.808650e-01, 0, 1, 2.786807e-03, 6.159338e-01 } // 10-20,Francesco
58 ,{ 2.152937e-01, 1.405391e+00, 5.037925e-02, 3.214458e+00, 3.991894e+00, 3.655882e-02, 1.968766e-01,-1.637650e+01, 7.023397e+00, 4.573453e-03, 6.031381e-01, 0, 1, 3.564348e-03, 5.748053e-01 } // 20-30,Francesco
59 ,{ 2.409800e-01, 1.476557e+00, 5.759362e-02, 3.339713e+00, 3.642386e+00,-1.544366e-02, 1.098611e-01,-1.373154e+01, 1.471955e+00, 5.200180e-03, 6.315474e-01, 0, 1, 3.776112e-03, 6.298605e-01 } // 30-40,Francesco
60 ,{ 2.495087e-01, 1.543711e+00, 6.217817e-02, 3.517101e+00, 4.558221e+00, 6.021316e-02, 1.486822e-01,-5.769155e+00, 5.576843e-01, 5.348029e-03, 7.255976e-01, 0, 1, 3.531350e-03, 7.661694e-01 } // 40-50,Francesco
61 ,{ 2.166449e-01, 1.931014e+00, 8.195656e-02, 2.226742e+00, 3.106472e+00, 1.058786e-01, 8.558786e-01, 4.006680e+00, 2.476313e-01, 5.137623e-03, 9.104401e-01, 0, 1, 2.477450e-03, 1.109649e+00 } // 50-60,Francesco
62 ,{ 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 } // 0-10
63 ,{ 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 } // 20-40
64 ,{ 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 } // 40-60
65 ,{ 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 } // 60-80
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 } // 0-20
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 } // 0-40
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 } // 20-80
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 } // 40-80
72 const Double_t AliGenEMlib::fgkRawPtOfV2Param[16][10] = {
73 { 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // pp no V2
74 ,{ 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
75 ,{ 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
76 ,{ 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
77 ,{ 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
78 ,{ 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
79 ,{ 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
80 ,{ 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
81 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 0-10
82 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 20-40
83 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 40-60
84 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 60-80
85 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 0-20
86 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 0-40
87 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 20-80
88 ,{ 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000,-1.0000000000, 1.0000000000,-1.0000000000, 1.0000000000, 0.0000000000, 0.0000000000 } // 40-80
91 const Double_t AliGenEMlib::fgkThermPtParam[16][2] = {
92 { 0.0000000000, 0.0000000000 } // pp no V2
93 ,{ 0.0000000000, 0.0000000000 } // 0-5
94 ,{ 0.0000000000, 0.0000000000 } // 5-10
95 ,{ 2.581823e+01, 3.187900e+00 } // 10-20 //from: https://aliceinfo.cern.ch/Notes/node/249
96 ,{ 0.0000000000, 0.0000000000 } // 20-30
97 ,{ 0.0000000000, 0.0000000000 } // 30-40
98 ,{ 0.0000000000, 0.0000000000 } // 40-50
99 ,{ 0.0000000000, 0.0000000000 } // 50-60
100 ,{ 7.177551e+02, 4.946179e+00 } // 0-10 //from: https://aliceinfo.cern.ch/Notes/node/249
101 ,{ 2.328661e+00, 2.635257e+00 } // 20-40 //from: https://twiki.cern.ch/twiki/pub/ALICE/ALICEDirectPhotonSpectrumPaper/directPbPb.pdf
102 ,{ 0.0000000000, 0.0000000000 } // 40-60
103 ,{ 0.0000000000, 0.0000000000 } // 60-80
104 ,{ 1.919280e+01, 2.946472e+00 } // 0-20 //from: https://twiki.cern.ch/twiki/pub/ALICE/ALICEDirectPhotonSpectrumPaper/directPbPb.pdf
105 ,{ 0.0000000000, 0.0000000000 } // 0-40
106 ,{ 0.0000000000, 0.0000000000 } // 20-80
107 ,{ 0.0000000000, 0.0000000000 } // 40-80
110 // MASS 0=>PIZERO, 1=>ETA, 2=>RHO, 3=>OMEGA, 4=>ETAPRIME, 5=>PHI, 6=>JPSI
111 const Double_t AliGenEMlib::fgkHM[8] = {0.13498, 0.54751, 0.7755, 0.78265, 0.95778, 1.01946, 3.0969, 0.0};
113 const Double_t AliGenEMlib::fgkMtFactor[2][8] = {
114 // {1.0, 0.5, 1.0, 0.9, 0.4, 0.23, 0.054}, // factor for pp from arXiv:1110.3929
115 // {1.0, 0.55, 1.0, 0.9, 0.4, 0.25, 0.004} // factor for PbPb from arXiv:1110.3929
116 //{1., 0.48, 1.0, 0.9, 0.25, 0.4}, (old values)
117 //{1., 0.48, 1.0, 0.9, 0.4, 0.25}, (nlo values)
118 //{1., 0.48, 1.0, 0.8, 0.4, 0.2, 0.06} (combination of nlo and LHC measurements)
119 //https://aliceinfo.cern.ch/Figure/node/2634
120 //https://aliceinfo.cern.ch/Figure/node/2788
121 //https://aliceinfo.cern.ch/Figure/node/4403
122 //J/Psi PbPb from Comparison with Julian Books J/Psi -> e+e-, might be contradicting with https://aliceinfo.cern.ch/Figure/node/3457
123 //https://aliceinfo.cern.ch/Notes/node/87
125 {1., 0.48, 1.0, 0.9, 0.4, 0.25, 0.004, 0.}, //pp
126 {1., 0.48, 1.0, 0.9, 0.4, 0.25, 0.0195, 0.} //PbPb
129 //==========================================================================
131 // Definition of Particle Distributions
133 //==========================================================================
135 //--------------------------------------------------------------------------
139 //--------------------------------------------------------------------------
140 Double_t AliGenEMlib::PtModifiedHagedornThermal(const Double_t pt,
148 // Modified Hagedorn Thermal fit to Picharged for PbPb:
150 invYield = c/TMath::Power(p0+pt/p1,n) + cT*exp(-1.0*pt/T);
152 return invYield*(2*TMath::Pi()*pt);
157 Double_t AliGenEMlib::PtModifiedHagedornExp(const Double_t pt,
164 // Modified Hagedorn exponentiel fit to Pizero for PbPb:
166 invYield = c*TMath::Power(exp(-1*(p1*pt-p2*pt*pt))+pt/p0,-n);
168 return invYield*(2*TMath::Pi()*pt);
172 Double_t AliGenEMlib::PtModifiedHagedornExp2(const Double_t pt,
181 // Modified Hagedorn exponential fit to charged pions for pPb:
183 invYield = c*TMath::Power(exp(-a*pt-b*pt*pt)+pt/p0+TMath::Power(pt/p1,d),-n);
185 return invYield*(2*TMath::Pi()*pt);
188 Double_t AliGenEMlib::PtTsallis(const Double_t pt,
194 // Tsallis fit to Pizero for pp:
198 mt = sqrt(m*m + pt*pt);
199 invYield = c*((n-1.)*(n-2.))/(n*T*(n*T+m*(n-2.)))*pow(1.+(mt-m)/(n*T),-n);
201 return invYield*(2*TMath::Pi()*pt);
205 Double_t AliGenEMlib::PtExponential(const Double_t *px, const Double_t *c){
206 const double &pt=px[0];
207 Double_t invYield = c[0]*exp(-pt*c[1]);
209 return invYield*(2*TMath::Pi()*pt);
212 // Hagedorn with additional Powerlaw
213 Double_t AliGenEMlib::PtModifiedHagedornPowerlaw(const Double_t *px, const Double_t *c){
214 double pt=px[0]+0.0001;
215 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,-c[9]);
217 return invYield*(2*TMath::Pi()*pt);
220 Double_t AliGenEMlib::IntegratedKrollWada(Double_t mh){
221 if(mh<0.003) return 0;
222 const double me=0.000511;
223 return 2*log(mh/me/exp(7.0/4.0))/411.0/TMath::Pi();
226 //--------------------------------------------------------------------------
230 //--------------------------------------------------------------------------
231 Int_t AliGenEMlib::IpPromptRealGamma(TRandom *)
236 Double_t AliGenEMlib::PtPromptRealGamma( const Double_t *px, const Double_t */*dummy*/ )
238 //if(*px<0.001) return 0;
239 const static Double_t promptGammaPtParam[10] = { 7.019259e-02, 6.771695e-01, 8.249346e-01, 5.720419e+00, 1.848869e+01, 2.629075e+01, 1.061126e+01, 3.699205e+01, 5.253572e-02, 5.167275e+00 };
240 //{ 5.449971e-02, 3.843241e-01, 9.469766e-01, 4.993039e+00, 5.342451e+00, 4.457944e+00, 5.555146e+00, 4.458580e+00, 6.035177e-02, 5.102109e+00 };
242 return PtModifiedHagedornPowerlaw(px,promptGammaPtParam)*GetTAA(fgSelectedCentrality);
245 Double_t AliGenEMlib::YPromptRealGamma( const Double_t *px, const Double_t */*dummy*/ )
250 Double_t AliGenEMlib::V2PromptRealGamma( const Double_t */*px*/, const Double_t */*dummy*/ )
255 //--------------------------------------------------------------------------
259 //--------------------------------------------------------------------------
260 Int_t AliGenEMlib::IpPromptVirtGamma(TRandom *)
265 Double_t AliGenEMlib::PtPromptVirtGamma( const Double_t *px, const Double_t */*dummy*/ )
267 return IntegratedKrollWada(*px)*PtPromptRealGamma(px,px);
270 Double_t AliGenEMlib::YPromptVirtGamma( const Double_t *px, const Double_t */*dummy*/ )
275 Double_t AliGenEMlib::V2PromptVirtGamma( const Double_t */*px*/, const Double_t */*dummy*/ )
280 //--------------------------------------------------------------------------
284 //--------------------------------------------------------------------------
285 Int_t AliGenEMlib::IpThermRealGamma(TRandom *)
290 Double_t AliGenEMlib::PtThermRealGamma( const Double_t *px, const Double_t */*dummy*/ )
292 return PtExponential(px,fgkThermPtParam[fgSelectedCentrality]);
295 Double_t AliGenEMlib::YThermRealGamma( const Double_t *px, const Double_t */*dummy*/ )
300 Double_t AliGenEMlib::V2ThermRealGamma( const Double_t *px, const Double_t */*dummy*/ )
302 return KEtScal(*px,8);
305 //--------------------------------------------------------------------------
309 //--------------------------------------------------------------------------
310 Int_t AliGenEMlib::IpThermVirtGamma(TRandom *)
315 Double_t AliGenEMlib::PtThermVirtGamma( const Double_t *px, const Double_t */*dummy*/ )
317 return IntegratedKrollWada(*px)*PtThermRealGamma(px,px);
320 Double_t AliGenEMlib::YThermVirtGamma( const Double_t *px, const Double_t */*dummy*/ )
325 Double_t AliGenEMlib::V2ThermVirtGamma( const Double_t *px, const Double_t */*dummy*/ )
327 return KEtScal(*px,8);
330 //--------------------------------------------------------------------------
334 //--------------------------------------------------------------------------
335 Int_t AliGenEMlib::IpPizero(TRandom *)
337 // Return pizero pdg code
341 Double_t AliGenEMlib::PtPizero( const Double_t *px, const Double_t */*dummy*/ )
343 // double pigammacorr=2.385389e-01*log(*px+0.001)+1.557687e+00;
344 // pigammacorr*=9.513666e-03*log(*px+0.001)+9.509347e-01;
345 // return pigammacorr*PtPromptRealGamma(px,px); //misuse pion for direct gammas
347 // fit functions and corresponding parameter of Pizero pT for pp @ 2.76 TeV and @ 7 TeV and for PbPb @ 2.76 TeV
361 switch(fgSelectedPtParam|fgSelectedCentrality) {
362 // fit to pi charged v1
363 // charged pion from ToF, unidentified hadrons scaled with pion from TPC
364 // for Pb-Pb @ 2.76 TeV
365 case kPichargedPbPb|k0005:
366 kc=1347.5; kp0=0.9393; kp1=2.254; kn=11.294; kcT=0.002537; kT=2.414;
367 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
369 case kPichargedPbPb|k0510:
370 kc=1256.1; kp0=0.9545; kp1=2.248; kn=11.291; kcT=0.002662; kT=2.326;
371 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
373 case kPichargedPbPb|k2030:
374 kc=7421.6; kp0=1.2059; kp1=1.520; kn=10.220; kcT=0.002150; kT=2.196;
375 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
377 case kPichargedPbPb|k3040:
378 kc=1183.2; kp0=1.0478; kp1=1.623; kn=9.8073; kcT=0.00198333; kT=2.073;
379 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
381 // the following is what went into the Pb-Pb preliminary approval (0-10%)
382 case kPichargedPbPb|k0010:
383 kc=1296.0; kp0=0.968; kp1=2.567; kn=12.27; kcT=0.004219; kT=2.207;
384 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
386 case kPichargedPbPb|k1020:
387 kc=986.0; kp0=0.9752; kp1=2.376; kn=11.62; kcT=0.003116; kT=2.213;
388 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
390 case kPichargedPbPb|k2040:
391 kc=17337.0; kp0=1.337; kp1=1.507; kn=10.629; kcT=0.00184; kT=2.234;
392 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
394 case kPichargedPbPb|k4050:
395 kc=6220.0; kp0=1.322; kp1=1.224; kn=9.378; kcT=0.000595; kT=2.383;
396 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
398 case kPichargedPbPb|k5060:
399 kc=2319.0; kp0=1.267; kp1=1.188; kn=9.044; kcT=0.000437; kT=2.276;
400 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
402 case kPichargedPbPb|k4060:
403 kc=4724.0; kp0=1.319; kp1=1.195; kn=9.255; kcT=0.000511; kT=2.344;
404 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
406 case kPichargedPbPb|k6080:
407 kc=2842.0; kp0=1.465; kp1=0.8324; kn=8.167; kcT=0.0001049; kT=2.29;
408 return PtModifiedHagedornThermal(*px,kc,kp0,kp1,kn,kcT,kT);
412 // fit to pizero from conversion analysis
413 // for PbPb @ 2.76 TeV
414 // Pi0 spectra --> not final results
415 case kPizeroPbPb|k0005:
416 kc=1952.832; kp1=0.264; kp2=0.069; kp0=1.206; kn=9.732;
417 return PtModifiedHagedornExp(*px,kc,kp1,kp2,kp0,kn);
419 case kPizeroPbPb|k0010:
420 kc=1810.029; kp1=0.291; kp2=0.059; kp0=1.170; kn=9.447;
421 return PtModifiedHagedornExp(*px,kc,kp1,kp2,kp0,kn);
423 case kPizeroPbPb|k0020:
424 kc=856.241; kp1=-0.409; kp2=-0.127; kp0=1.219; kn=9.030;
425 return PtModifiedHagedornExp(*px,kc,kp1,kp2,kp0,kn);
427 case kPizeroPbPb|k1020:
428 kc=509.781; kp1=-0.784; kp2=-0.120; kp0=0.931; kn=7.299;
429 return PtModifiedHagedornExp(*px,kc,kp1,kp2,kp0,kn);
431 case kPizeroPbPb|k2040:
432 kc=541.049; kp1=0.542; kp2=-0.069; kp0=0.972; kn=7.866;
433 return PtModifiedHagedornExp(*px,kc,kp1,kp2,kp0,kn);
435 case kPizeroPbPb|k2080:
436 kc=222.577; kp1=0.634; kp2=0.009; kp0=0.915; kn=7.431;
437 return PtModifiedHagedornExp(*px,kc,kp1,kp2,kp0,kn);
439 case kPizeroPbPb|k4080:
440 kc=120.153; kp1=0.7; kp2=-0.14; kp0=0.835; kn=6.980;
441 return PtModifiedHagedornExp(*px,kc,kp1,kp2,kp0,kn);
443 case kPizeroPbPb|k0040:
444 kc=560.532; kp1=0.548; kp2=-0.048; kp0=1.055; kn=8.132;
445 return PtModifiedHagedornExp(*px,kc,kp1,kp2,kp0,kn);
449 // fit to charged pions for p-Pb @ 5.02TeV
451 kc=235.5; ka=0.6903; kb=0.06864; kp0=2.289; kp1=0.5872; kd=0.6474; kn=7.842;
452 return PtModifiedHagedornExp2(*px,kc,ka,kb,kp0,kp1,kd,kn);
456 // Tsallis fit to final pizero (PHOS+PCM) -> used for publication
459 case kPizeroEta7TeVpp:
460 km=0.13498; kc=28.01; kT=0.139; kn=6.875;
461 return PtTsallis(*px,km,kc,kT,kn);
463 case kPizero7TeVpplow:
464 case kPizeroEta7TeVpplow:
465 km=0.13498; kc=23.84; kT=0.147; kn=7.025;
466 return PtTsallis(*px,km,kc,kT,kn);
468 case kPizero7TeVpphigh:
469 case kPizeroEta7TeVpphigh:
470 km=0.13498; kc=32.47; kT=0.132; kn=6.749;
471 return PtTsallis(*px,km,kc,kT,kn);
473 // Tsallis fit to pizero: preliminary result from PCM and PHOS (QM'11)
475 case kPizero2760GeVpp:
476 case kPizeroEta2760GeVpp:
477 km = 0.13498; kc = 19.75; kT = 0.130; kn = 7.051;
478 return PtTsallis(*px,km,kc,kT,kn);
480 case kPizero2760GeVpplow:
481 case kPizeroEta2760GeVpplow:
482 km = 0.13498; kc = 16.12; kT = 0.142; kn = 7.327;
483 return PtTsallis(*px,km,kc,kT,kn);
485 case kPizero2760GeVpphigh:
486 case kPizeroEta2760GeVpphigh:
487 km = 0.13498; kc = 25.18; kT = 0.118; kn = 6.782;
488 return PtTsallis(*px,km,kc,kT,kn);
497 Double_t AliGenEMlib::YPizero( const Double_t *py, const Double_t */*dummy*/ )
503 Double_t AliGenEMlib::V2Pizero( const Double_t *px, const Double_t */*dummy*/ )
506 switch(fgSelectedCentrality) {
508 n1=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k0005]);
509 v1=V2Param(px,fgkV2param[k0005]);
510 n2=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k0510]);
511 v2=V2Param(px,fgkV2param[k0510]);
512 return (n1*v1+n2*v2)/(n1+n2);
515 n1=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k2030]);
516 v1=V2Param(px,fgkV2param[k2030]);
517 n2=PtModifiedHagedornPowerlaw(px,fgkRawPtOfV2Param[k3040]);
518 v2=V2Param(px,fgkV2param[k3040]);
519 return (n1*v1+n2*v2)/(n1+n2);
523 return V2Param(px,fgkV2param[fgSelectedCentrality]);
527 //--------------------------------------------------------------------------
531 //--------------------------------------------------------------------------
532 Int_t AliGenEMlib::IpEta(TRandom *)
534 // Return eta pdg code
538 Double_t AliGenEMlib::PtEta( const Double_t *px, const Double_t */*dummy*/ )
541 // fit functions and corresponding parameter of Eta pT for pp @ 2.76 TeV and @ 7 TeV
549 switch(fgSelectedPtParam){
550 // Tsallis fit to final eta (PHOS+PCM) -> used for final publication
552 case kPizeroEta7TeVpp:
553 km = 0.547853; kc = 2.496; kT = 0.229; kn = 6.985;
554 return PtTsallis(*px,km,kc,kT,kn);
556 case kPizeroEta7TeVpplow:
557 km = 0.547853; kc = 1.970; kT = 0.253; kn = 7.591;
558 return PtTsallis(*px,km,kc,kT,kn);
560 case kPizeroEta7TeVpphigh:
561 km = 0.547853; kc = 3.060; kT = 0.212; kn = 6.578;
562 return PtTsallis(*px,km,kc,kT,kn);
564 // Tsallis fit to preliminary eta (QM'11)
566 case kPizeroEta2760GeVpp:
567 km = 0.547853; kc = 1.971; kT = 0.188; kn = 6.308;
568 return PtTsallis(*px,km,kc,kT,kn);
569 case kPizeroEta2760GeVpplow:
570 km = 0.547853; kc = 1.228; kT = 0.220; kn = 7.030;
571 return PtTsallis(*px,km,kc,kT,kn);
573 case kPizeroEta2760GeVpphigh:
574 km = 0.547853; kc = 2.802; kT = 0.164; kn = 5.815;
575 return PtTsallis(*px,km,kc,kT,kn);
579 return MtScal(*px,1);
586 Double_t AliGenEMlib::YEta( const Double_t *py, const Double_t */*dummy*/ )
591 Double_t AliGenEMlib::V2Eta( const Double_t *px, const Double_t */*dummy*/ )
593 return KEtScal(*px,1); //V2Param(px,fgkV2param[1][fgSelectedV2Param]);
596 //--------------------------------------------------------------------------
600 //--------------------------------------------------------------------------
601 Int_t AliGenEMlib::IpRho(TRandom *)
603 // Return rho pdg code
607 Double_t AliGenEMlib::PtRho( const Double_t *px, const Double_t */*dummy*/ )
610 return MtScal(*px,2);
613 Double_t AliGenEMlib::YRho( const Double_t *py, const Double_t */*dummy*/ )
618 Double_t AliGenEMlib::V2Rho( const Double_t *px, const Double_t */*dummy*/ )
620 return KEtScal(*px,2);
623 //--------------------------------------------------------------------------
627 //--------------------------------------------------------------------------
628 Int_t AliGenEMlib::IpOmega(TRandom *)
630 // Return omega pdg code
634 Double_t AliGenEMlib::PtOmega( const Double_t *px, const Double_t */*dummy*/ )
637 return MtScal(*px,3);
640 Double_t AliGenEMlib::YOmega( const Double_t *py, const Double_t */*dummy*/ )
645 Double_t AliGenEMlib::V2Omega( const Double_t *px, const Double_t */*dummy*/ )
647 return KEtScal(*px,3);
651 //--------------------------------------------------------------------------
655 //--------------------------------------------------------------------------
656 Int_t AliGenEMlib::IpEtaprime(TRandom *)
658 // Return etaprime pdg code
662 Double_t AliGenEMlib::PtEtaprime( const Double_t *px, const Double_t */*dummy*/ )
665 return MtScal(*px,4);
668 Double_t AliGenEMlib::YEtaprime( const Double_t *py, const Double_t */*dummy*/ )
674 Double_t AliGenEMlib::V2Etaprime( const Double_t *px, const Double_t */*dummy*/ )
676 return KEtScal(*px,4);
679 //--------------------------------------------------------------------------
683 //--------------------------------------------------------------------------
684 Int_t AliGenEMlib::IpPhi(TRandom *)
686 // Return phi pdg code
690 Double_t AliGenEMlib::PtPhi( const Double_t *px, const Double_t */*dummy*/ )
693 return MtScal(*px,5);
696 Double_t AliGenEMlib::YPhi( const Double_t *py, const Double_t */*dummy*/ )
701 Double_t AliGenEMlib::V2Phi( const Double_t *px, const Double_t */*dummy*/ )
703 return KEtScal(*px,5);
706 //--------------------------------------------------------------------------
710 //--------------------------------------------------------------------------
711 Int_t AliGenEMlib::IpJpsi(TRandom *)
713 // Return phi pdg code
717 Double_t AliGenEMlib::PtJpsi( const Double_t *px, const Double_t */*dummy*/ )
720 return MtScal(*px,6);
723 Double_t AliGenEMlib::YJpsi( const Double_t *py, const Double_t */*dummy*/ )
728 Double_t AliGenEMlib::V2Jpsi( const Double_t *px, const Double_t */*dummy*/ )
730 const int oldSys=fgSelectedV2Systematic;
731 fgSelectedV2Systematic=kNoV2Sys;
735 case kLoV2Sys: ret=0; break;
736 case kNoV2Sys: ret=KEtScal(*px,6)/2; break;
737 case kUpV2Sys: ret=KEtScal(*px,6); break;
740 fgSelectedV2Systematic=oldSys;
744 Double_t AliGenEMlib::YFlat(Double_t /*y*/)
746 //--------------------------------------------------------------------------
748 // flat rapidity distribution
750 //--------------------------------------------------------------------------
758 //=============================================================
762 //=============================================================
764 Double_t AliGenEMlib::MtScal(Double_t pt, Int_t np)
766 // Function for the calculation of the Pt distribution for a
767 // given particle np, from the pizero Pt distribution using
770 Double_t scaledPt = sqrt(pt*pt + fgkHM[np]*fgkHM[np] - fgkHM[0]*fgkHM[0]);
771 Double_t scaledYield = PtPizero(&scaledPt, (Double_t*) 0);
773 // VALUE MESON/PI AT 5 GeV/c
774 Double_t NormPt = 5.;
775 Double_t scaledNormPt = sqrt(NormPt*NormPt + fgkHM[np]*fgkHM[np] - fgkHM[0]*fgkHM[0]);
777 Double_t norm = fgkMtFactor[int(bool(fgSelectedCentrality))][np] * (PtPizero(&NormPt, (Double_t*) 0) / PtPizero(&scaledNormPt, (Double_t*) 0));
779 return norm*(pt/scaledPt)*scaledYield;
782 Double_t AliGenEMlib::KEtScal(const Double_t pt, Int_t np)
784 const int nq=2; //number of quarks for particle np, here always 2
785 Double_t scaledPt = sqrt(pow(2.0/nq*(sqrt(pt*pt+fgkHM[np]*fgkHM[np])-fgkHM[np])+fgkHM[0],2)-fgkHM[0]*fgkHM[0]);
786 // double val=V2Pizero(&scaledPt, (Double_t*) 0);
787 // static const double syserr[12]={0., 0.09, 0.07, 0.06, 0.04, 0.04, 0.04, 0.05, 0., 0., 0., 0.}; //based on pi vs kaon
788 // double sys=fgSelectedV2Systematic*min(fgkV2param[fgSelectedCentrality][0],fgkV2param[fgSelectedCentrality][8])*syserr[fgSelectedCentrality];
789 // return TMath::Max(val+sys,0.0);
790 return V2Pizero(&scaledPt, (Double_t*) 0);
793 Double_t AliGenEMlib::V2Param(const Double_t *px, const Double_t *par)
795 // Very general parametrization of the v2
797 const double &pt=px[0];
798 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]);
799 double sys=fgSelectedV2Systematic*par[11+fgSelectedV2Systematic*2]*pow(pt,par[12+fgSelectedV2Systematic*2]);
800 return TMath::Max(val+sys,0.0);
803 Double_t AliGenEMlib::V2Flat(const Double_t */*px*/, const Double_t */*param*/)
810 Double_t AliGenEMlib::GetTAA(Int_t cent){
811 const static Double_t taa[16] = { 1.0, // pp
830 //==========================================================================
834 //==========================================================================
836 typedef Double_t (*GenFunc) (const Double_t*, const Double_t*);
838 typedef Int_t (*GenFuncIp) (TRandom *);
840 GenFunc AliGenEMlib::GetPt(Int_t param, const char * tname) const
842 // Return pointer to pT parameterisation
844 TString sname(tname);
848 case kPromptRealGamma:
849 func=PtPromptRealGamma;
851 case kPromptVirtGamma:
852 func=PtPromptVirtGamma;
854 case kThermRealGamma:
855 func=PtThermRealGamma;
857 case kThermVirtGamma:
858 func=PtThermVirtGamma;
884 printf("<AliGenEMlib::GetPt> unknown parametrisation\n");
889 GenFunc AliGenEMlib::GetY(Int_t param, const char * tname) const
891 // Return pointer to y- parameterisation
893 TString sname(tname);
897 case kPromptRealGamma:
898 func=YPromptRealGamma;
900 case kPromptVirtGamma:
901 func=YPromptVirtGamma;
903 case kThermRealGamma:
904 func=YThermRealGamma;
906 case kThermVirtGamma:
907 func=YThermVirtGamma;
933 printf("<AliGenEMlib::GetY> unknown parametrisation\n");
938 GenFuncIp AliGenEMlib::GetIp(Int_t param, const char * tname) const
940 // Return pointer to particle type parameterisation
942 TString sname(tname);
946 case kPromptRealGamma:
947 func=IpPromptRealGamma;
949 case kPromptVirtGamma:
950 func=IpPromptVirtGamma;
952 case kThermRealGamma:
953 func=IpThermRealGamma;
955 case kThermVirtGamma:
956 func=IpThermVirtGamma;
982 printf("<AliGenEMlib::GetIp> unknown parametrisation\n");
987 GenFunc AliGenEMlib::GetV2(Int_t param, const char * tname) const
989 // Return pointer to v2-parameterisation
991 TString sname(tname);
995 case kPromptRealGamma:
996 func=V2PromptRealGamma;
998 case kPromptVirtGamma:
999 func=V2PromptVirtGamma;
1001 case kThermRealGamma:
1002 func=V2ThermRealGamma;
1004 case kThermVirtGamma:
1005 func=V2ThermVirtGamma;
1031 printf("<AliGenEMlib::GetV2> unknown parametrisation\n");