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Particle mass access updated: Evi Ganoti, University of Athens (pganoti@phys.uoa.gr)
[u/mrichter/AliRoot.git] / PWG2 / KINK / AliAnalysisKinkESDMC.cxx
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10eaad41 1/**************************************************************************
2 * Authors: Martha Spyropoulou-Stassinaki and the members
3 * of the Greek group at Physics Department of Athens University
4 * Paraskevi Ganoti, Anastasia Belogianni and Filimon Roukoutakis
5 * Contributors are mentioned in the code where appropriate. *
6 * *
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 **************************************************************************/
15
16//-----------------------------------------------------------------
17// AliAnalysisKinkESDMC class
18// Example of an analysis task for kink topology study
19// Kaons from kink topology are 'identified' in this code
20//-----------------------------------------------------------------
21
22#include "TChain.h"
23#include "TTree.h"
24#include "TH1F.h"
25#include "TH2F.h"
26#include "TH1D.h"
27#include "TH2D.h"
28#include "TParticle.h"
29#include <TVector3.h>
30#include "TF1.h"
31
32#include "AliAnalysisTaskSE.h"
33#include "AliAnalysisManager.h"
34
35#include "AliESDEvent.h"
36#include "AliESDInputHandler.h"
37
38#include "AliMCEventHandler.h"
39#include "AliMCEvent.h"
40
41#include "AliAnalysisKinkESDMC.h"
42
43#include "AliStack.h"
44#include "AliESDpid.h"
45#include "AliESDkink.h"
46
47ClassImp(AliAnalysisKinkESDMC)
48
49//________________________________________________________________________
50AliAnalysisKinkESDMC::AliAnalysisKinkESDMC()
51 : AliAnalysisTaskSE(), fESD(0),fHistPtESD(),fHistPt(0),fHistQtAll(0),fHistQt1(0),fHistQt2(0)
52 , fHistPtKaon(0),fHistPtKPDG(0),fHistEta(0),fHistEtaK(0),fptKMC(0),fMultiplMC(0),fESDMult(0),fgenpt(0),frad(0),
53 fKinkKaon(0), fKinkKaonBg(0), fM1kaon(0), fgenPtEtR(0),fPtKink(0), fptKink(0),
54 fcodeH(0), fdcodeH(0), fAngMomK(0),fAngMomPi(0),
55 fRpr(0),fZpr(0),
56 fAngMomKC(0),
57 fZvXv(0),fZvYv(0), fXvYv(0), fPtPrKink(0), f1(0), f2(0),
58 fListOfHistos(0)
59
60{
61 // Constructor
62
63}
64
65
66//________________________________________________________________________
67AliAnalysisKinkESDMC::AliAnalysisKinkESDMC(const char *name)
68 : AliAnalysisTaskSE(name), fESD(0),fHistPtESD(0),fHistPt(0),fHistQtAll(0),fHistQt1(0),fHistQt2(0)
69 , fHistPtKaon(0),fHistPtKPDG(0),fHistEta(0),fHistEtaK(0),fptKMC(0),fMultiplMC(0),fESDMult(0),fgenpt(0),frad(0),
70 fKinkKaon(0), fKinkKaonBg(0), fM1kaon(0), fgenPtEtR(0),fPtKink(0), fptKink(0),
71 fcodeH(0), fdcodeH(0), fAngMomK(0),fAngMomPi(0),
72 fRpr(0),fZpr(0),
73 fAngMomKC(0),
74 fZvXv(0),fZvYv(0), fXvYv(0), fPtPrKink(0), f1(0), f2(0),
75 fListOfHistos(0)
76 // , faod(0), fSignalTree(0)
77
78{
79 // Constructor
80
81 // Define input and output slots here
82 // Input slot #0 works with a TChain
83 DefineInput(0, TChain::Class());
84 DefineOutput(1, TList::Class());
85}
86
87//________________________________________________________________________
88void AliAnalysisKinkESDMC::ConnectInputData(Option_t *)
89{
90 // Connect ESD or AOD here
91 // Called once
92
93 TTree* tree = dynamic_cast<TTree*> (GetInputData(0));
94 if (!tree) {
95 Printf("ERROR: Could not read chain from input slot 0");
96 } else {
10eaad41 97
98 AliESDInputHandler *esdH = dynamic_cast<AliESDInputHandler*> (AliAnalysisManager::GetAnalysisManager()->GetInputEventHandler());
99
100 if (!esdH) {
101 Printf("ERROR: Could not get ESDInputHandler");
102 } else
103 fESD = esdH->GetEvent();
104 }
105}
106
107//________________________________________________________________________
108void AliAnalysisKinkESDMC::CreateOutputObjects()
109{
110 // Create histograms
111 // Called once
112
113 f1=new TF1("f1","((atan([0]*[1]*(1.0/(sqrt((x^2)*(1.0-([1]^2))-([0]^2)*([1]^2))))))*180.)/[2]",1.1,10.0);
114 f1->SetParameter(0,0.493677);
115 f1->SetParameter(1,0.9127037);
116 f1->SetParameter(2,TMath::Pi());
117
118
119 f2=new TF1("f2","((atan([0]*[1]*(1.0/(sqrt((x^2)*(1.0-([1]^2))-([0]^2)*([1]^2))))))*180.)/[2]",0.1,10.0);
120 f2->SetParameter(0,0.13957018);
121 f2->SetParameter(1,0.2731374);
122 f2->SetParameter(2,TMath::Pi());
123 //Open file 1= CAF
124 //OpenFile(1);
125
126 fHistPtESD = new TH1F("fHistPtESD", "P_{T} distribution", 60, 0.0, 6.0);
127 fHistPtESD->GetXaxis()->SetTitle("P_{T} (GeV/c)");
128 fHistPtESD->GetYaxis()->SetTitle("dN/dP_{T} (c/GeV)");
129 fHistPtESD->SetMarkerStyle(kFullCircle);
130 fHistPt = new TH1F("fHistPt", "P_{T} distribution", 60, 0.0, 6.0);
131 fHistQtAll = new TH1F("fHistQtAll", "Q_{T} distr All Kinks ",100, 0.0,.250);
132 fHistQt1= new TH1F("fHistQt1", "Q_{T} distribution",100, 0.0,.300);
133 fHistQt2= new TH1F("fHistQt2", "Q_{T} distribution",100, 0.0,.300);
134 fHistPtKaon = new TH1F("fHistPtKaon", "P_{T}Kaon distribution", 60, 0.0, 6.0);
135 fHistPtKPDG = new TH1F("fHistPtKPDG", "P_{T}Kaon distribution", 60, 0.0, 6.0);
136 fHistEta= new TH1F("fHistEta", "Eta distribution", 26,-1.3, 1.3);
137 fHistEtaK= new TH1F("fHistEtaK", "EtaK distribution", 26,-1.3, 1.3);
138 fptKMC= new TH1F("fptKMC", "P_{T}Kaon generated", 60, 0.0, 6.0);
139 fMultiplMC= new TH1F("fMultiplMC", "charge multiplicity MC", 60, 0.5,120.5);
140 fESDMult= new TH1F("fESDMult", "charge multipliESD", 60, 0.5,120.5);
141 fgenpt= new TH1F("fgenpt", "genpt K distribution", 60, 0.0, 6.0);
142 frad= new TH1F("frad", "radius K generated",100,0.,400.);
143 fKinkKaon= new TH1F("fKinkKaon", "P_{T}Kaon kinks identi", 60, 0.0, 6.0);
144 fKinkKaonBg= new TH1F("fKinkKaonBg", "P_{T}Kaon kinks backgr", 60, 0.0, 6.0);
145 fM1kaon= new TH1F("fM1kaon","Invar m(kaon) from kink->mu+netrino decay",80,0.0, 0.8);
146 fgenPtEtR= new TH1F("fgenPtEtR", "P_{T}Kaon distribution", 60, 0.0, 6.0);
147 fPtKink= new TH1F("fPtKink", "P_{T}Kaon Kink bution", 60, 0.0, 6.0);
148 fptKink= new TH1F("fptKink", "P_{T}Kaon Kink bution", 60, 0.0, 6.0);
149 fcodeH = new TH2F("fcodeH", "code vrs dcode dist. kinks,K",100,0.,2500.,100,0.,2500.);
150 fdcodeH = new TH2F("fdcodeH", "code vrs dcode dist. kinks,K",100,0.,2500.,100,0.,2500.);
151 fAngMomK= new TH2F("fAngMomK","Decay angle vrs Mother Mom,K",100,0.0,5.0,80,0.,80.);
152 fAngMomPi= new TH2F("fAngMomPi","Decay angle vrs Mother Mom,Pi",100,0.0,5.0,80,0.,80.);
153
154 fRpr = new TH1D("fRpr", "rad distribution PID pr",50,0.0, 2.5);
155 fZpr = new TH1D("fZpr", "z distribution PID pr ",60,-15.,15.);
156 fAngMomKC= new TH2F("fAngMomKC","Decay angle vrs Mother Mom,K",100,0.0,5.0,80,0.,80.);
157 fZvXv= new TH2F("fZvXv","Xv-Zv main vtx",60,-0.5,0.5,60, -15., 15.0);
158 fZvYv= new TH2F("fZvYv","Yv-Zv main vtx",60,-0.5,0.5, 60, -15., 15.);
159 fXvYv= new TH2F("fXvYv","Xv-Yv main vtx", 60,-1.5,1.5, 60, -1.5, 1.5);
160 fPtPrKink=new TH1F("fPtPrKink","pt of ESD kaonKink tracks", 60, 0.0, 6.0);
161
162 fListOfHistos=new TList();
163
164 fListOfHistos->Add(fHistPtESD);
165 fListOfHistos->Add(fHistPt);
166 fListOfHistos->Add(fHistQtAll);
167 fListOfHistos->Add(fHistQt1);
168 fListOfHistos->Add(fHistQt2);
169 fListOfHistos->Add(fHistPtKaon);
170 fListOfHistos->Add(fHistPtKPDG);
171 fListOfHistos->Add(fHistEta);
172 fListOfHistos->Add(fHistEtaK);
173 fListOfHistos->Add(fptKMC);
174 fListOfHistos->Add(fMultiplMC);
175 fListOfHistos->Add(fESDMult);
176 fListOfHistos->Add(fgenpt);
177 fListOfHistos->Add(frad);
178 fListOfHistos->Add(fKinkKaon);
179 fListOfHistos->Add(fKinkKaonBg);
180 fListOfHistos->Add(fM1kaon);
181 fListOfHistos->Add(fgenPtEtR);
182 fListOfHistos->Add(fPtKink);
183 fListOfHistos->Add(fptKink);
184 fListOfHistos->Add(fcodeH);
185 fListOfHistos->Add(fdcodeH);
186 fListOfHistos->Add(fdcodeH);
187 fListOfHistos->Add(fAngMomK);
188 fListOfHistos->Add(fAngMomPi);
189 fListOfHistos->Add(fRpr);
190 fListOfHistos->Add(fZpr);
191 fListOfHistos->Add(fAngMomKC);
192 fListOfHistos->Add(fZvXv);
193 fListOfHistos->Add(fZvYv);
194 fListOfHistos->Add(fXvYv);
195 fListOfHistos->Add(fPtPrKink);
196}
197
198//________________________________________________________________________
199void AliAnalysisKinkESDMC::Exec(Option_t *)
200{
201 // Main loop
202 // Called for each event
203
204 // Process MC truth, therefore we receive the AliAnalysisManager and ask it for the AliMCEventHandler
205 // This handler can return the current MC event
206
207 AliMCEventHandler* eventHandler = dynamic_cast<AliMCEventHandler*> (AliAnalysisManager::GetAnalysisManager()->GetMCtruthEventHandler());
208 if (!eventHandler) {
209 Printf("ERROR: Could not retrieve MC event handler");
210 return;
211 }
212
213 AliMCEvent* mcEvent = eventHandler->MCEvent();
214 if (!mcEvent) {
215 Printf("ERROR: Could not retrieve MC event");
216 return;
217 }
218
219 Printf("MC particles: %d", mcEvent->GetNumberOfTracks());
220
221 if (!fESD) {
222 Printf("ERROR: fESD not available");
223 return;
224 }
225 AliStack* stack=mcEvent->Stack();
226
227//primary tracks in MC
228 Int_t nPrim = stack->GetNprimary();
229//
230 const AliESDVertex *vertex=GetEventVertex(fESD);
231 if(!vertex) return;
232//
233 Double_t vpos[3];
234 vertex->GetXYZ(vpos);
235 fZpr->Fill(vpos[2]);
236 fZvXv->Fill( vpos[1], vpos[2]);
237 fZvYv->Fill( vpos[0], vpos[2]);
238
239 Double_t vtrack[3], ptrack[3];
240
241
242
243 Int_t nGoodTracks = fESD->GetNumberOfTracks();
244 fESDMult->Fill(nGoodTracks);
245//
246// track loop
247 for (Int_t iTracks = 0; iTracks < fESD->GetNumberOfTracks(); iTracks++) {
248 AliESDtrack* track = fESD->GetTrack(iTracks);
249 if (!track) {
250 Printf("ERROR: Could not receive track %d", iTracks);
251 continue;
252 }
253
254
255 fHistPt->Fill(track->Pt());
256
257 // pt cut at 300 MeV
258 if ( (track->Pt())<.300)continue;
259
260 UInt_t status=track->GetStatus();
261
262 // if((status&AliESDtrack::kITSrefit)==0) continue;
263 if((status&AliESDtrack::kTPCrefit)==0) continue;
264 if((track->GetTPCchi2()/track->GetTPCclusters(0))>3.5) continue;
265
266 Double_t extCovPos[15];
267 track->GetExternalCovariance(extCovPos);
268 if(extCovPos[0]>2) continue;
269 if(extCovPos[2]>2) continue;
270 if(extCovPos[5]>0.5) continue;
271 if(extCovPos[9]>0.5) continue;
272 if(extCovPos[14]>2) continue;
273
274
275 track->GetXYZ(vtrack);
276 fXvYv->Fill(vtrack[0],vtrack[1]);
277
278// track momentum
279 track->GetPxPyPz(ptrack);
280
281 TVector3 trackMom(ptrack[0],ptrack[1],ptrack[2]);
282
283 Double_t trackEta=trackMom.Eta();
284
285
286
287 Float_t nSigmaToVertex = GetSigmaToVertex(track);
288
289 Float_t bpos[2];
290 Float_t bCovpos[3];
291 track->GetImpactParameters(bpos,bCovpos);
292
293 if (bCovpos[0]<=0 || bCovpos[2]<=0) {
294 Printf("Estimated b resolution lower or equal zero!");
295 bCovpos[0]=0; bCovpos[2]=0;
296 }
297
298 Float_t dcaToVertexXYpos = bpos[0];
299 Float_t dcaToVertexZpos = bpos[1];
300
301 fRpr->Fill(dcaToVertexZpos);
302
303 if(nSigmaToVertex>=4) continue;
304 if((dcaToVertexXYpos>3.0)||(dcaToVertexZpos>3.0)) continue;
305
306
307 Int_t label = track->GetLabel();
308 label = TMath::Abs(label);
309 TParticle * part = stack->Particle(label);
310 if (!part) continue;
311
312 // cut on eta
313 if( (TMath::Abs(trackEta )) > 1.1 ) continue;
314 fHistPtESD->Fill(track->Pt());
315
316 // Add Kink analysis
317
318 Int_t indexKinkPos=track->GetKinkIndex(0);
319// loop on kinks
320 if(indexKinkPos<0){
321 fPtKink->Fill(track->Pt()); /// pt from track
322
323 // select kink class
324
325 AliESDkink *kink=fESD->GetKink(TMath::Abs(indexKinkPos)-1);
326//
327
328 Int_t eSDfLabel1=kink->GetLabel(0);
329 TParticle *particle1= stack->Particle(TMath::Abs(eSDfLabel1));
330 Int_t code1= particle1->GetPdgCode();
331
332 Int_t eSDfLabeld=kink->GetLabel(1);
333 TParticle *particled= stack->Particle(TMath::Abs(eSDfLabeld));
334 Int_t dcode1= particled->GetPdgCode();
335
336 const TVector3 motherMfromKink(kink->GetMotherP());
337 const TVector3 daughterMKink(kink->GetDaughterP());
338 Float_t qT=kink->GetQt();
339
340 fHistEta->Fill(trackEta) ; // Eta distr
341 fHistQtAll->Fill(qT) ; // Qt distr
342
343 fptKink->Fill(motherMfromKink.Pt()); /// pt from kink
344
345// fake kinks, small Qt and small kink angle
346 if ( qT<0.012) fcodeH->Fill( TMath::Abs(code1), TMath::Abs(dcode1) );
347 if(qT<0.012) continue; // remove fake kinks
348
349 Float_t kinkAngle=TMath::RadToDeg()*kink->GetAngle(2);
350
351//remove the double taracks
352
353 if( (kinkAngle<1.) ) continue;
354//
355 if( (qT>0.05)&& ( qT<0.25) ) fHistQt2->Fill(qT); // candidate kaon kinks
356
357 if (TMath::Abs(code1)==321) fHistPtKPDG->Fill(track->Pt()); // ALL KAONS (pdg) inside kink sample
358
359// maximum decay angle at a given mother momentum
360 Double_t maxDecAngKmu=f1->Eval(motherMfromKink.Mag(),0.,0.,0.);
361 Double_t maxDecAngpimu=f2->Eval(motherMfromKink.Mag(),0.,0.,0.);
362// two dimensional plot
363 if(TMath::Abs(code1)==321) fAngMomK->Fill(motherMfromKink.Mag(), kinkAngle);
364 if(TMath::Abs(code1)==211) fAngMomPi->Fill(motherMfromKink.Mag(), kinkAngle);
365//
366// invariant mass of mother track decaying to mu
367 Float_t energyDaughterMu=TMath::Sqrt(daughterMKink.Mag()*daughterMKink.Mag()+0.105658*0.105658);
368 Float_t p1XM= motherMfromKink.Px();
369 Float_t p1YM= motherMfromKink.Py();
370 Float_t p1ZM= motherMfromKink.Pz();
371 Float_t p2XM= daughterMKink.Px();
372 Float_t p2YM= daughterMKink.Py();
373 Float_t p2ZM= daughterMKink.Pz();
374 Float_t p3Daughter=TMath::Sqrt(((p1XM-p2XM)*(p1XM-p2XM))+((p1YM-p2YM)*(p1YM-p2YM))+((p1ZM-p2ZM)*(p1ZM-p2ZM)));
375 Double_t invariantMassKmu= TMath::Sqrt((energyDaughterMu+p3Daughter)*(energyDaughterMu+p3Daughter)-motherMfromKink.Mag()*motherMfromKink.Mag());
376
377 fM1kaon->Fill(invariantMassKmu);
378
379// kaon selection from kinks
380if((kinkAngle>maxDecAngpimu)&&(qT>0.05)&&(qT<0.25)&&((kink->GetR()>110.)&&(kink->GetR()<230.))&&(TMath::Abs(trackEta)<1.1)&&(invariantMassKmu<0.6)) {
381 fHistEtaK->Fill(trackEta);
382
383 if(TMath::Abs(code1)==321) fAngMomKC->Fill(motherMfromKink.Mag(), kinkAngle); // real kaons
384
385 fHistQt1 ->Fill(qT) ; // Qt distr
386 if ( (kinkAngle>maxDecAngKmu) && ( motherMfromKink.Mag()> 1.1 ) ) continue; // maximum angle selection
387
388 fHistPtKaon->Fill(track->Pt()); //all PID kink-kaon
389
390// background inside the identified kaons, e.g KK , Kp
391 if((TMath::Abs(code1)==321)&&(( TMath::Abs(dcode1)) >=(TMath::Abs(code1)) )) fdcodeH->Fill( TMath::Abs(code1), TMath::Abs(dcode1));
392
393 if((TMath::Abs(code1)==321) ) {
394
395 if ( label< nPrim ) fPtPrKink->Fill(track->Pt());
396 fKinkKaon->Fill(track->Pt()); }
397 else {
398 fKinkKaonBg->Fill(track->Pt());
399 } // primary and secondary
400
401 } // kink selection
402
403
404 } //End Kink Information
405
406
407 } //track loop
408
409 // loop over mc particles
410
411 // variable to count tracks
412 Int_t nMCTracks = 0;
413
414for (Int_t iMc = 0; iMc < nPrim; ++iMc)
415 {
416 // AliDebug(AliLog::kDebug+1, Form("MC Loop: Processing particle %d.", iMc));
417
418 TParticle* particle = stack->Particle(iMc);
419
420 if (!particle)
421 {
422 // AliDebug(AliLog::kError, Form("UNEXPECTED: particle with label %d not found in stack (mc loop).", iMc));
423 continue;
424 }
425
426 //
427 Float_t eta = particle->Eta();
428
429 if (TMath::Abs(eta) > 1.1)
430 continue;
431
432 Double_t ptK = particle->Pt();
433
434 if( ptK <0.300) continue;
435
436 Float_t code = particle->GetPdgCode();
437 if (code==321 || code==-321){
438
439 fptKMC->Fill(ptK);
440
441
442 Int_t firstD=particle->GetFirstDaughter();
443 Int_t lastD=particle->GetLastDaughter();
444//loop on secondaries
445 for (Int_t k=firstD;k<lastD;k++) {
446 TParticle* daughter1=stack->Particle(k+1);
447 Float_t dcode = daughter1->GetPdgCode();
448
449
450
451 frad->Fill(daughter1->R());
452
453 if (((daughter1->R())>110)&&((daughter1->R())<230) ){
454 if (( ( code==321 )&& ( dcode ==-13 ))|| (( code == -321 )&& ( dcode == 13))) fgenPtEtR->Fill( ptK );//to muon
455 if (( ( code==321 )&& ( dcode ==211 ))|| (( code == -321 )&& ( dcode ==-211))) fgenPtEtR->Fill( ptK );//to pion
456 // if (( ( code==321 )&& ( dcode ==-11 ))|| (( code == -321 )&& ( dcode ==11))) fgenPtEtR->Fill( ptK );// to electr
457
458 }
459// next only to mu decay
460 if (((code==321)&&(dcode==-13))||((code==-321)&&(dcode==13))){
461
462
463 if (((daughter1->R())>110)&&((daughter1->R())<230)){
464 fgenpt->Fill(ptK);
465 }
466 }
467 }
468
469 }
470
471
472
473 nMCTracks++;
474 }// end of mc particle
475
476// printf("hello mc");
477 fMultiplMC->Fill(nMCTracks);
478
479 PostData(1, fListOfHistos);
480
481}
482
483//________________________________________________________________________
484void AliAnalysisKinkESDMC::Terminate(Option_t *)
485{
486 // Draw result to the screen
487 // Called once at the end of the query
488
489}
490//____________________________________________________________________//
491
492Float_t AliAnalysisKinkESDMC::GetSigmaToVertex(AliESDtrack* esdTrack) const {
493 // Calculates the number of sigma to the vertex.
494
495 Float_t b[2];
496 Float_t bRes[2];
497 Float_t bCov[3];
498
499 esdTrack->GetImpactParameters(b,bCov);
500
501 if (bCov[0]<=0 || bCov[2]<=0) {
502 //AliDebug(1, "Estimated b resolution lower or equal zero!");
503 bCov[0]=0; bCov[2]=0;
504 }
505 bRes[0] = TMath::Sqrt(bCov[0]);
506 bRes[1] = TMath::Sqrt(bCov[2]);
507
508 if (bRes[0] == 0 || bRes[1] ==0) return -1;
509
510 Float_t d = TMath::Sqrt(TMath::Power(b[0]/bRes[0],2) + TMath::Power(b[1]/bRes[1],2));
511
512 if (TMath::Exp(-d * d / 2) < 1e-10) return 1000;
513
514 d = TMath::ErfInverse(1 - TMath::Exp(-d * d / 2)) * TMath::Sqrt(2);
515
516 return d;
517 }
518//____________________________________________________________________//
519
520const AliESDVertex* AliAnalysisKinkESDMC::GetEventVertex(const AliESDEvent* esd) const
521 // Get the vertex from the ESD and returns it if the vertex is valid
522
523{
524 // Get the vertex
525
526 const AliESDVertex* vertex = esd->GetPrimaryVertex();
527
528 if((vertex->GetStatus()==kTRUE)&&(vertex->GetNContributors()>2)) return vertex;
529 else
530 {
531 vertex = esd->GetPrimaryVertexSPD();
532 if((vertex->GetStatus()==kTRUE)&&(vertex->GetNContributors()>2)) return vertex;
533 else
534 return 0;
535 }
536}