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 **************************************************************************/
18 // Class to generate correlated Heavy Flavor hadron pairs (one or several pairs
19 // per event) using paramtrized kinematics of quark pairs from some generator
20 // and quark fragmentation functions.
21 // Is a generalisation of AliGenParam class for correlated pairs of hadrons.
22 // In this version quark pairs and fragmentation functions are obtained from
23 // Pythia6.124 using 100K events generated with kCharmppMNRwmi & kBeautyppMNRwmi
24 // in pp collisions at 14 TeV.
25 // Decays are performed by Pythia. Used AliRoot version: v4-04-Release
26 // Author: S. Grigoryan, LPC Clermont-Fd & YerPhI, Smbat.Grigoryan@cern.ch
28 //-------------------------------------------------------------------------
29 // How it works (for the given flavor):
31 // 1) Reads QQbar kinematical grid from the Input file and generates
32 // quark pairs according to the weights of the cells.
33 // It is a 5D grid in y1,y2,pt1,pt2 and deltaphi, with occupancy weights
34 // of the cells obtained from Pythia (see details in GetQuarkPair).
35 // 2) Reads "soft" and "hard" fragmentation functions (12 2D-histograms each,
36 // for 12 pt bins) from the Input file, applies to quarks and produces hadrons
37 // (only lower states, with proportions of species obtained from Pythia).
38 // Fragmentation functions are the same for all hadron species and depend
39 // on 2 variables - light cone energy-momentum fractions:
40 // z1=(E_H + Pz_H)/(E_Q + Pz_Q), z2=(E_H - Pz_H)/(E_Q - Pz_Q).
41 // "soft" & "hard" FFs correspond to "slower" & "faster" quark of a pair
42 // (see details in GetHadronPair).
43 // 3) Decays the hadrons and saves all the particles in the event stack in the
44 // following order: HF hadron from Q, then its decay products, then HF hadron
45 // from Qbar, then its decay productes, then next HF hadon pair (if any)
46 // in the same way, etc...
47 // 4) It is fast, e.g., generates the same number of events with a beauty pair
48 // ~15 times faster than AliGenPythia with kBeautyppMNRwmi (w/o tracking)
50 // An Input file for each quark flavor is included in EVGEN/dataCorrHF/
51 // One can use also user-defined Input files.
53 // More details could be found in my presentation at DiMuonNet Workshop, Dec 2006:
54 // http://www-dapnia.cea.fr/Sphn/Alice/DiMuonNet
55 // and will be published in an Internal Note.
57 //-------------------------------------------------------------------------
60 // add the following typical lines in Config.C
62 if (!strcmp(option,"corr")) {
63 // Example for correlated charm or beauty hadron pair production
65 // AliGenCorrHF *gener = new AliGenCorrHF(1, 4); // for charm, 1 pair per event
66 AliGenCorrHF *gener = new AliGenCorrHF(1, 5); // for beauty, 1 pair per event
68 gener->SetMomentumRange(0,9999);
69 gener->SetCutOnChild(0); // 1/0 means cuts on children enable/disable
70 gener->SetChildThetaRange(171.0,178.0);
71 gener->SetOrigin(0,0,0); //vertex position
72 gener->SetSigma(0,0,0); //Sigma in (X,Y,Z) (cm) on IP position
73 gener->SetForceDecay(kSemiMuonic);
74 gener->SetTrackingFlag(0);
78 // and in aliroot do e.g. gAlice->Run(10,"Config.C") to produce 10 events.
79 // One can include AliGenCorrHF in an AliGenCocktail generator.
80 //--------------------------------------------------------------------------
88 #include <TLorentzVector.h>
89 #include <TParticle.h>
90 #include <TParticlePDG.h>
91 #include <TDatabasePDG.h>
92 #include <TVirtualMC.h>
94 #include <Riostream.h>
96 #include "AliGenCorrHF.h"
99 #include "AliDecayer.h"
103 ClassImp(AliGenCorrHF)
107 <img src="picts/AliGenCorrHF.gif">
111 Double_t AliGenCorrHF::fgdph[19] = {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180};
112 Double_t AliGenCorrHF::fgy[31] = {-10,-7, -6.5, -6, -5.5, -5, -4.5, -4, -3.5, -3, -2.5, -2,- 1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6, 6.5, 7, 10};
113 Double_t AliGenCorrHF::fgpt[33] = {0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6, 6.6, 7.2, 7.8, 8.4, 9, 9.6, 10.3, 11.1, 12, 13.1, 14.3, 15.6, 17.1, 19, 21, 24, 28, 35, 50, 100};
114 Int_t AliGenCorrHF::fgnptbins = 12;
115 Double_t AliGenCorrHF::fgptbmin[12] = {0, 0.5, 1, 1.5, 2, 2.5, 3, 4, 5, 6, 7, 9};
116 Double_t AliGenCorrHF::fgptbmax[12] = {0.5, 1, 1.5, 2, 2.5, 3, 4, 5, 6, 7, 9, 100};
118 Double_t* AliGenCorrHF::fgIntegral = 0;
120 //____________________________________________________________
121 AliGenCorrHF::AliGenCorrHF():
129 // Default constructor
132 //____________________________________________________________
133 AliGenCorrHF::AliGenCorrHF(Int_t npart, Int_t param):
140 // fDecayer(new AliDecayerPythia())
143 // Constructor using number of particles, quark type & default InputFile
145 if (fQuark != 5) fQuark = 4;
146 fFileName = "$ALICE_ROOT/EVGEN/dataCorrHF/CharmppMNRwmiCorr100K.root";
147 if (fQuark == 5) fFileName = "$ALICE_ROOT/EVGEN/dataCorrHF/BeautyppMNRwmiCorr100K.root";
150 fTitle= "Generator for correlated pairs of HF hadrons";
153 for (Int_t i=0; i<5; i++) fChildSelect[i]=0;
156 SetChildMomentumRange();
159 SetChildThetaRange();
162 //___________________________________________________________________
163 AliGenCorrHF::AliGenCorrHF(char* tname, Int_t npart, Int_t param):
170 // fDecayer(new AliDecayerPythia())
173 // Constructor using number of particles, quark type & user-defined InputFile
175 if (fQuark != 5) fQuark = 4;
176 fName = "UserDefined";
177 fTitle= "Generator for correlated pairs of HF hadrons";
180 for (Int_t i=0; i<5; i++) fChildSelect[i]=0;
183 SetChildMomentumRange();
186 SetChildThetaRange();
189 //____________________________________________________________
190 AliGenCorrHF::AliGenCorrHF(const AliGenCorrHF & CorrHF)
203 //____________________________________________________________
204 AliGenCorrHF::~AliGenCorrHF()
210 //____________________________________________________________
211 void AliGenCorrHF::Init()
215 AliInfo(Form(" QQbar kinematics and fragm. functions from: %s",fFileName.Data() ));
216 fFile = TFile::Open(fFileName.Data());
217 if(!fFile->IsOpen()){
218 AliError(Form("Could not open file %s",fFileName.Data() ));
221 ComputeIntegral(fFile);
223 fParentWeight = 1./fNpart; // fNpart is number of HF-hadron pairs
225 // particle decay related initialization
227 if (gMC) fDecayer = gMC->GetDecayer();
228 fDecayer->SetForceDecay(fForceDecay);
235 //____________________________________________________________
236 void AliGenCorrHF::Generate()
239 // Generate fNpart of correlated HF hadron pairs per event
240 // in the the desired theta and momentum windows (phi = 0 - 2pi).
241 // Gaussian smearing on the vertex is done if selected.
242 // The decay of heavy hadrons is done using lujet,
243 // and the childern particle are tracked by GEANT
244 // However, light mesons are directly tracked by GEANT
245 // setting fForceDecay = nodecay (SetForceDecay(nodecay))
249 Float_t polar[3]= {0,0,0}; // Polarisation of the parent particle (for GEANT tracking)
250 Float_t origin0[3]; // Origin of the generated parent particle (for GEANT tracking)
251 Float_t pt, pl, ptot; // Transverse, logitudinal and total momenta of the parent particle
252 Float_t phi, theta; // Phi and theta spherical angles of the parent particle momentum
253 Float_t p[3], pc[3], och[3];// Momentum, polarisation and origin of the children particles from lujet
256 Double_t dphi=0, ptq[2], yq[2], pth[2], plh[2], ph[2], phih[2];
257 Int_t i, j, ipair, ihadron[2];
258 for (i=0; i<2; i++) {
266 static TClonesArray *particles;
268 if(!particles) particles = new TClonesArray("TParticle",1000);
270 TDatabasePDG* pDataBase = TDatabasePDG::Instance();
272 // Calculating vertex position per event
273 for (j=0;j<3;j++) origin0[j]=fOrigin[j];
274 if(fVertexSmear==kPerEvent) {
276 for (j=0;j<3;j++) origin0[j]=fVertex[j];
279 Float_t wgtp, wgtch, random[6];
283 // Generating fNpart HF-hadron pairs per event
288 GetQuarkPair(fFile, fgIntegral, yq[0], yq[1], ptq[0], ptq[1], dphi);
290 GetHadronPair(fFile, fQuark, yq[0], yq[1], ptq[0], ptq[1], ihadron[0], ihadron[1], plh[0], plh[1], pth[0], pth[1]);
292 // Here we assume that |phi_H1 - phi_H2| = |phi_Q1 - phi_Q2| = dphi
293 // which is a good approximation for heavy flavors in Pythia
295 /* // doesn't work if PhiMax < k2PI or PhiMin > 0, since dphi = 0 - 180
296 phih[0] = fPhiMin + Rndm()*(fPhiMax-fPhiMin);
297 phih[1] = phih[0] + dphi*kDegrad;
298 if (phih[0] > fPhiMax/2.) phih[1] = phih[0] - dphi*kDegrad;
300 phih[0] = Rndm()*k2PI;
301 phih[1] = phih[0] + dphi*kDegrad;
302 if (phih[0] > TMath::Pi()) phih[1] = phih[0] - dphi*kDegrad;
305 theta=TMath::ATan2(pth[0],plh[0]);
306 if(theta<fThetaMin || theta>fThetaMax) continue;
307 theta=TMath::ATan2(pth[1],plh[1]);
308 if(theta<fThetaMin || theta>fThetaMax) continue;
311 ph[0]=TMath::Sqrt(pth[0]*pth[0]+plh[0]*plh[0]);
312 if (ph[0]<fPMin || ph[0]>fPMax) continue;
313 ph[1]=TMath::Sqrt(pth[1]*pth[1]+plh[1]*plh[1]);
314 if (ph[1]<fPMin || ph[1]>fPMax) continue;
316 // Common origin for particles of the HF-hadron pair
317 if(fVertexSmear==kPerTrack) {
321 fOrigin[j]+fOsigma[j]*TMath::Cos(2*random[2*j]*TMath::Pi())*
322 TMath::Sqrt(-2*TMath::Log(random[2*j+1]));
326 Int_t np1=0, kf1[100], select1[100], iparent1[100], trackIt1[100];
327 Float_t wgtch1=0, p1[3], pc1[100][3], och1[100][3];
329 for (j=0; j<3; j++) p1[j] = 0;
330 for (i=0; i<100; i++) {
335 for (j=0; j<3; j++) {
342 // Loop over particles of the HF-hadron pair
344 for (ipair=0;ipair<2;ipair++) {
351 Int_t iPart = ihadron[ipair];
352 Float_t am = pDataBase->GetParticle(iPart)->Mass();
353 fChildWeight=(fDecayer->GetPartialBranchingRatio(iPart))*fParentWeight;
355 wgtp = fParentWeight;
356 wgtch = fChildWeight;
359 p[0]=pt*TMath::Cos(phi);
360 p[1]=pt*TMath::Sin(phi);
363 // Looking at fForceDecay :
364 // if fForceDecay != none Primary particle decays using
365 // AliPythia and children are tracked by GEANT
367 // if fForceDecay == none Primary particle is tracked by GEANT
368 // (In the latest, make sure that GEANT actually does all the decays you want)
371 if (fForceDecay != kNoDecay) {
372 // Using lujet to decay particle
373 Float_t energy=TMath::Sqrt(ptot*ptot+am*am);
374 TLorentzVector pmom(p[0], p[1], p[2], energy);
375 fDecayer->Decay(iPart,&pmom);
377 // select decay particles
378 Int_t np=fDecayer->ImportParticles(particles);
380 // Selecting GeometryAcceptance for particles fPdgCodeParticleforAcceptanceCut;
381 if (fGeometryAcceptance)
382 if (!CheckAcceptanceGeometry(np,particles)) break;
384 Int_t* pParent = new Int_t[np];
385 Int_t* pSelected = new Int_t[np];
386 Int_t* trackIt = new Int_t[np];
388 for (i=0; i<np; i++) {
394 TParticle* iparticle = (TParticle *) particles->At(0);
395 for (i=1; i<np; i++) {
397 iparticle = (TParticle *) particles->At(i);
398 Int_t kf = iparticle->GetPdgCode();
399 Int_t ks = iparticle->GetStatusCode();
401 // particles with long life-time (c tau > .3 mum)
403 Double_t lifeTime = fDecayer->GetLifetime(kf);
404 if (lifeTime <= (Double_t) fMaxLifeTime) {
410 // children, discard neutrinos
411 if (TMath::Abs(kf) == 12 || TMath::Abs(kf) == 14) continue;
415 pc[0]=iparticle->Px();
416 pc[1]=iparticle->Py();
417 pc[2]=iparticle->Pz();
418 Bool_t childok = KinematicSelection(iparticle, 1);
429 } // if child selection
431 } // decay particle loop
432 } // if decay products
435 if ((fCutOnChild && ncsel >0) || !fCutOnChild){
439 // Parents and Decay Products
443 p1[0] = p[0]; p1[1] = p[1]; p1[2] = p[2];
446 PushTrack(0, -1, ihadron[0], p1, origin0, polar, 0,
447 kPPrimary, nt, wgtp);
449 for (i = 1; i < np1; i++) {
451 for (j=0; j<3; j++) {
455 PushTrack(fTrackIt*trackIt1[i], iparent1[i], kf1[i], pc, och,
456 polar, 0, kPDecay, nt, wgtch1);
460 PushTrack(0, -1, iPart, p, origin0, polar, 0, kPPrimary, nt, wgtp);
467 for (i = 1; i < np; i++) {
469 TParticle* iparticle = (TParticle *) particles->At(i);
470 Int_t kf = iparticle->GetPdgCode();
471 Int_t ipa = iparticle->GetFirstMother()-1;
473 och[0] = origin0[0]+iparticle->Vx()/10;
474 och[1] = origin0[1]+iparticle->Vy()/10;
475 och[2] = origin0[2]+iparticle->Vz()/10;
476 pc[0] = iparticle->Px();
477 pc[1] = iparticle->Py();
478 pc[2] = iparticle->Pz();
481 iparent = pParent[ipa];
488 select1[i] = pSelected[i];
489 iparent1[i] = iparent;
490 trackIt1[i] = trackIt[i];
491 for (j=0; j<3; j++) {
497 PushTrack(fTrackIt*trackIt[i], iparent, kf, pc, och,
498 polar, 0, kPDecay, nt, wgtch);
501 pParent[i] = nt + ntcount;
506 if (pParent) delete[] pParent;
507 if (pSelected) delete[] pSelected;
508 if (trackIt) delete[] trackIt;
509 } // kinematic selection
510 else // nodecay option, so parent will be tracked by GEANT
514 p1[0] = p[0]; p1[1] = p[1]; p1[2] = p[2];
518 PushTrack(fTrackIt,-1,ihadron[0],p1,origin0,polar,0,kPPrimary,nt,wgtp);
520 PushTrack(fTrackIt,-1,iPart,p,origin0,polar,0,kPPrimary,nt,wgtp);
523 if (nhadron == 0) break;
525 if (nhadron != 2) continue;
529 } // while(ipa<fNpart) --> event loop
531 SetHighWaterMark(nt);
534 //____________________________________________________________________________________
535 AliGenCorrHF& AliGenCorrHF::operator=(const AliGenCorrHF& rhs)
537 // Assignment operator
542 //____________________________________________________________________________________
543 Int_t AliGenCorrHF::IpCharm(TRandom* ran)
545 // Composition of lower state charm hadrons, containing a c-quark
547 Int_t ip; // +- 411,421,431,4122,4132,4232,4332
548 random = ran->Rndm();
549 // Rates from Pythia6.214 using 100Kevents with kPyCharmppMNRwmi at 14 TeV.
551 if (random < 0.6027) {
553 } else if (random < 0.7962) {
555 } else if (random < 0.9127) {
557 } else if (random < 0.9899) {
559 } else if (random < 0.9948) {
561 } else if (random < 0.9999) {
570 Int_t AliGenCorrHF::IpBeauty(TRandom* ran)
572 // Composition of lower state beauty hadrons, containing a b-quark
574 Int_t ip; // +- 511,521,531,5122,5132,5232,5332
575 random = ran->Rndm();
576 // Rates from Pythia6.214 using 100Kevents with kPyBeautyppMNRwmi at 14 TeV.
577 // B-Bbar mixing will be done by Pythia at the decay point
578 if (random < 0.3965) {
580 } else if (random < 0.7930) {
582 } else if (random < 0.9112) {
584 } else if (random < 0.9887) {
586 } else if (random < 0.9943) {
588 } else if (random < 0.9999) {
597 //____________________________________________________________________________________
598 Double_t AliGenCorrHF::ComputeIntegral(TFile* fG) // needed by GetQuarkPair
600 // Read QQbar kinematical 5D grid's cell occupancy weights
601 Int_t* cell = new Int_t[6]; // cell[6]={wght,iy1,iy2,ipt1,ipt2,idph}
602 TTree* tG = (TTree*) fG->Get("tGqq");
603 tG->GetBranch("cell")->SetAddress(cell);
604 Int_t nbins = tG->GetEntries();
606 // delete previously computed integral (if any)
607 if(fgIntegral) delete [] fgIntegral;
609 fgIntegral = new Double_t[nbins+1];
612 for(bin=0;bin<nbins;bin++) {
614 fgIntegral[bin+1] = fgIntegral[bin] + cell[0];
616 // Normalize integral to 1
617 if (fgIntegral[nbins] == 0 ) {
620 for (bin=1;bin<=nbins;bin++) fgIntegral[bin] /= fgIntegral[nbins];
622 return fgIntegral[nbins];
625 //____________________________________________________________________________________
626 void AliGenCorrHF::GetQuarkPair(TFile* fG, Double_t* fInt, Double_t &y1, Double_t &y2, Double_t &pt1, Double_t &pt2, Double_t &dphi)
627 // modification of ROOT's TH3::GetRandom3 for 5D
629 // Read QQbar kinematical 5D grid's cell coordinates
630 Int_t* cell = new Int_t[6]; // cell[6]={wght,iy1,iy2,ipt1,ipt2,idph}
631 TTree* tG = (TTree*) fG->Get("tGqq");
632 tG->GetBranch("cell")->SetAddress(cell);
633 Int_t nbins = tG->GetEntries();
635 gRandom->RndmArray(6,rand);
636 Int_t ibin = TMath::BinarySearch(nbins,fInt,rand[0]);
638 y1 = fgy[cell[1]] + (fgy[cell[1]+1]-fgy[cell[1]])*rand[1];
639 y2 = fgy[cell[2]] + (fgy[cell[2]+1]-fgy[cell[2]])*rand[2];
640 pt1 = fgpt[cell[3]] + (fgpt[cell[3]+1]-fgpt[cell[3]])*rand[3];
641 pt2 = fgpt[cell[4]] + (fgpt[cell[4]+1]-fgpt[cell[4]])*rand[4];
642 dphi = fgdph[cell[5]]+ (fgdph[cell[5]+1]-fgdph[cell[5]])*rand[5];
645 //____________________________________________________________________________________
646 void AliGenCorrHF::GetHadronPair(TFile* fG, Int_t idq, Double_t y1, Double_t y2, Double_t pt1, Double_t pt2, Int_t &id3, Int_t &id4, Double_t &pz3, Double_t &pz4, Double_t &pt3, Double_t &pt4)
648 // Generate a hadron pair
649 Int_t (*fIpParaFunc )(TRandom*);//Pointer to particle type parametrisation function
650 fIpParaFunc = IpCharm;
651 Double_t mq = 1.2; // c & b quark masses (used in AliPythia)
653 fIpParaFunc = IpBeauty;
656 Double_t z11, z12, z21, z22, pz1, pz2, e1, e2, mh, ptemp, rand[2];
658 TH2F *h2h[12], *h2s[12]; // hard & soft Fragmentation Functions
659 for (Int_t ipt = 0; ipt<fgnptbins; ipt++) {
660 sprintf(tag,"h2h_pt%d",ipt);
661 h2h[ipt] = (TH2F*) fG->Get(tag);
662 sprintf(tag,"h2s_pt%d",ipt);
663 h2s[ipt] = (TH2F*) fG->Get(tag);
667 for (Int_t ipt = 0; ipt<fgnptbins; ipt++) {
668 if(pt1 >= fgptbmin[ipt] && pt1 < fgptbmax[ipt])
669 h2h[ipt]->GetRandom2(z11, z21);
670 if(pt2 >= fgptbmin[ipt] && pt2 < fgptbmax[ipt])
671 h2h[ipt]->GetRandom2(z12, z22);
675 if (TMath::Abs(y1) > TMath::Abs(y2)) {
676 for (Int_t ipt = 0; ipt<fgnptbins; ipt++) {
677 if(pt1 >= fgptbmin[ipt] && pt1 < fgptbmax[ipt])
678 h2h[ipt]->GetRandom2(z11, z21);
679 if(pt2 >= fgptbmin[ipt] && pt2 < fgptbmax[ipt])
680 h2s[ipt]->GetRandom2(z12, z22);
684 for (Int_t ipt = 0; ipt<fgnptbins; ipt++) {
685 if(pt1 >= fgptbmin[ipt] && pt1 < fgptbmax[ipt])
686 h2s[ipt]->GetRandom2(z11, z21);
687 if(pt2 >= fgptbmin[ipt] && pt2 < fgptbmax[ipt])
688 h2h[ipt]->GetRandom2(z12, z22);
692 gRandom->RndmArray(2,rand);
693 ptemp = TMath::Sqrt(pt1*pt1 + mq*mq);
694 pz1 = ptemp*TMath::SinH(y1);
695 e1 = ptemp*TMath::CosH(y1);
696 ptemp = TMath::Sqrt(pt2*pt2 + mq*mq);
697 pz2 = ptemp*TMath::SinH(y2);
698 e2 = ptemp*TMath::CosH(y2);
700 id3 = fIpParaFunc(gRandom);
701 mh = TDatabasePDG::Instance()->GetParticle(id3)->Mass();
702 ptemp = z11*z21*(e1*e1-pz1*pz1) - mh*mh;
703 pt3 = (idq-3)*rand[0]; // some smearing at low pt, try better
704 if (ptemp > 0) pt3 = TMath::Sqrt(ptemp);
705 if (pz1 > 0) pz3 = (z11*(e1 + pz1) - z21*(e1 - pz1)) / 2;
706 else pz3 = (z21*(e1 + pz1) - z11*(e1 - pz1)) / 2;
707 e1 = TMath::Sqrt(pz3*pz3 + pt3*pt3 + mh*mh);
709 id4 = - fIpParaFunc(gRandom);
710 mh = TDatabasePDG::Instance()->GetParticle(id4)->Mass();
711 ptemp = z12*z22*(e2*e2-pz2*pz2) - mh*mh;
712 pt4 = (idq-3)*rand[1]; // some smearing at low pt, try better
713 if (ptemp > 0) pt4 = TMath::Sqrt(ptemp);
714 if (pz2 > 0) pz4 = (z12*(e2 + pz2) - z22*(e2 - pz2)) / 2;
715 else pz4 = (z22*(e2 + pz2) - z12*(e2 - pz2)) / 2;
716 e2 = TMath::Sqrt(pz4*pz4 + pt4*pt4 + mh*mh);
718 // small corr. instead of using Frag. Func. depending on yQ (in addition to ptQ)
719 Float_t ycorr = 0.2, y3, y4;
720 gRandom->RndmArray(2,rand);
721 y3 = 0.5 * TMath::Log((e1 + pz3 + 1.e-13)/(e1 - pz3 + 1.e-13));
722 y4 = 0.5 * TMath::Log((e2 + pz4 + 1.e-13)/(e2 - pz4 + 1.e-13));
723 if(TMath::Abs(y3)<ycorr && TMath::Abs(y4)<ycorr && rand[0]>0.5) {
724 ptemp = TMath::Sqrt(e1*e1 - pz3*pz3);
725 y3 = 4*(1 - 2*rand[1]);
726 pz3 = ptemp*TMath::SinH(y3);