1 /**************************************************************************
2 * Copyright(c) 2007-2009, 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 **************************************************************************/
19 #include <TClonesArray.h>
23 #include "AliAODEvent.h"
24 #include "AliAODMCHeader.h"
25 #include "AliAODMCParticle.h"
26 #include "AliAODRecoDecayHF.h"
27 #include "AliVertexingHFUtils.h"
31 ///////////////////////////////////////////////////////////////////
33 // Class with functions useful for different D2H analyses //
34 // - event plane resolution //
35 // - <pt> calculation with side band subtraction //
36 // - tracklet multiplicity calculation //
37 // Origin: F.Prino, Torino, prino@to.infn.it //
39 ///////////////////////////////////////////////////////////////////
41 ClassImp(AliVertexingHFUtils)
43 //______________________________________________________________________
44 AliVertexingHFUtils::AliVertexingHFUtils():TObject(),
47 fMinEtaForTracklets(-1.),
48 fMaxEtaForTracklets(1.)
54 //______________________________________________________________________
55 AliVertexingHFUtils::AliVertexingHFUtils(Int_t k):
59 fMinEtaForTracklets(-1.),
60 fMaxEtaForTracklets(1.)
62 // Standard constructor
66 //______________________________________________________________________
67 void AliVertexingHFUtils::ComputeSignificance(Double_t signal, Double_t errsignal, Double_t background, Double_t errbackground, Double_t &significance,Double_t &errsignificance){
68 // calculate significance from S, B and errors
71 Double_t errSigSq=errsignal*errsignal;
72 Double_t errBkgSq=errbackground*errbackground;
73 Double_t sigPlusBkg=signal+background;
74 if(sigPlusBkg>0. && signal>0.){
75 significance = signal/TMath::Sqrt(signal+background);
76 errsignificance = significance*TMath::Sqrt((errSigSq+errBkgSq)/(4.*sigPlusBkg*sigPlusBkg)+(background/sigPlusBkg)*errSigSq/signal/signal);
84 //______________________________________________________________________
85 Double_t AliVertexingHFUtils::Pol(Double_t x, Int_t k){
86 // compute chi from polynomial approximation
89 c[0]=0.626657; c[1]=0.; c[2]=-0.09694; c[3]=0.02754; c[4]=-0.002283;
92 c[0]=0.; c[1]=0.25; c[2]=-0.011414; c[3]=-0.034726; c[4]=0.006815;
95 return c[0]*x+c[1]*x*x+c[2]*x*x*x+c[3]*x*x*x*x+c[4]*x*x*x*x*x;
98 //______________________________________________________________________
99 Double_t AliVertexingHFUtils:: ResolK1(Double_t x){
100 return TMath::Sqrt(TMath::Pi()/8)*x*TMath::Exp(-x*x/4)*(TMath::BesselI0(x*x/4)+TMath::BesselI1(x*x/4));
104 //______________________________________________________________________
105 Double_t AliVertexingHFUtils::FindChi(Double_t res, Int_t k){
106 // compute chi variable (=v2*sqrt(N)) from external values
121 if(y1*y2>0) return -1;
126 while((x2-x1)>0.0001){
131 ymed=ResolK1(xmed)-res;
136 ymed=Pol(xmed,2)-res;
139 if((y1*ymed)<0) x2=xmed;
140 if((y2*ymed)<0)x1=xmed;
141 if(ymed==0) return xmed;
147 //______________________________________________________________________
148 Double_t AliVertexingHFUtils::GetFullEvResol(Double_t resSub, Int_t k){
149 // computes event plane resolution starting from sub event resolution
150 Double_t chisub=FindChi(resSub,k);
151 Double_t chifull=chisub*TMath::Sqrt(2);
152 if(k==1) return ResolK1(chifull);
153 else if(k==2) return Pol(chifull,2);
155 printf("k should be <=2\n");
160 //______________________________________________________________________
161 Double_t AliVertexingHFUtils::GetFullEvResol(const TH1F* hSubEvCorr, Int_t k){
162 // computes event plane resolution starting from sub event correlation histogram
163 if(!hSubEvCorr) return 1.;
164 Double_t resSub=GetSubEvResol(hSubEvCorr);
165 return GetFullEvResol(resSub,k);
167 //______________________________________________________________________
168 Double_t AliVertexingHFUtils::GetFullEvResolLowLim(const TH1F* hSubEvCorr, Int_t k){
169 // computes low limit event plane resolution starting from sub event correlation histogram
170 if(!hSubEvCorr) return 1.;
171 Double_t resSub=GetSubEvResolLowLim(hSubEvCorr);
172 printf("%f\n",resSub);
173 return GetFullEvResol(resSub,k);
175 //______________________________________________________________________
176 Double_t AliVertexingHFUtils::GetFullEvResolHighLim(const TH1F* hSubEvCorr, Int_t k){
177 // computes high limit event plane resolution starting from sub event correlation histogram
178 if(!hSubEvCorr) return 1.;
179 Double_t resSub=GetSubEvResolHighLim(hSubEvCorr);
180 printf("%f\n",resSub);
181 return GetFullEvResol(resSub,k);
183 //______________________________________________________________________
184 Int_t AliVertexingHFUtils::GetNumberOfTrackletsInEtaRange(AliAODEvent* ev, Double_t mineta, Double_t maxeta){
185 // counts tracklets in given eta range
186 AliAODTracklets* tracklets=ev->GetTracklets();
187 Int_t nTr=tracklets->GetNumberOfTracklets();
189 for(Int_t iTr=0; iTr<nTr; iTr++){
190 Double_t theta=tracklets->GetTheta(iTr);
191 Double_t eta=-TMath::Log(TMath::Tan(theta/2.));
192 if(eta>mineta && eta<maxeta) count++;
196 //______________________________________________________________________
197 Int_t AliVertexingHFUtils::GetGeneratedMultiplicityInEtaRange(TClonesArray* arrayMC, Double_t mineta, Double_t maxeta){
198 // counts generated particles in fgiven eta range
201 for(Int_t i=0;i<arrayMC->GetEntriesFast();i++){
202 AliAODMCParticle *part=(AliAODMCParticle*)arrayMC->UncheckedAt(i);
203 Int_t charge = part->Charge();
204 Double_t eta = part->Eta();
205 if(charge!=0 && eta>mineta && eta<maxeta) nChargedMC++;
209 //______________________________________________________________________
210 Int_t AliVertexingHFUtils::GetGeneratedPrimariesInEtaRange(TClonesArray* arrayMC, Double_t mineta, Double_t maxeta){
211 // counts generated primary particles in given eta range
214 for(Int_t i=0;i<arrayMC->GetEntriesFast();i++){
215 AliAODMCParticle *part=(AliAODMCParticle*)arrayMC->UncheckedAt(i);
216 Int_t charge = part->Charge();
217 Double_t eta = part->Eta();
218 if(charge!=0 && eta>mineta && eta<maxeta){
219 if(part->IsPrimary())nChargedMC++;
224 //______________________________________________________________________
225 Int_t AliVertexingHFUtils::GetGeneratedPhysicalPrimariesInEtaRange(TClonesArray* arrayMC, Double_t mineta, Double_t maxeta){
226 // counts generated primary particles in given eta range
229 for(Int_t i=0;i<arrayMC->GetEntriesFast();i++){
230 AliAODMCParticle *part=(AliAODMCParticle*)arrayMC->UncheckedAt(i);
231 Int_t charge = part->Charge();
232 Double_t eta = part->Eta();
233 if(charge!=0 && eta>mineta && eta<maxeta){
234 if(part->IsPhysicalPrimary())nChargedMC++;
239 //______________________________________________________________________
240 void AliVertexingHFUtils::AveragePt(Float_t& averagePt, Float_t& errorPt,Float_t ptmin,Float_t ptmax, TH2F* hMassD, Float_t massFromFit, Float_t sigmaFromFit, TF1* funcB2, Float_t sigmaRangeForSig,Float_t sigmaRangeForBkg, Int_t rebin){
242 // Compute <pt> from 2D histogram M vs pt
244 //Make 2D histos in the desired pt range
245 Int_t start=hMassD->FindBin(ptmin);
246 Int_t end=hMassD->FindBin(ptmax)-1;
247 const Int_t nx=end-start;
248 TH2F *hMassDpt=new TH2F("hptmass","hptmass",nx,ptmin,ptmax,hMassD->GetNbinsY(),hMassD->GetYaxis()->GetBinLowEdge(1),hMassD->GetYaxis()->GetBinLowEdge(hMassD->GetNbinsY())+hMassD->GetYaxis()->GetBinWidth(hMassD->GetNbinsY()));
249 for(Int_t ix=start;ix<end;ix++){
250 for(Int_t iy=1;iy<=hMassD->GetNbinsY();iy++){
251 hMassDpt->SetBinContent(ix-start+1,iy,hMassD->GetBinContent(ix,iy));
252 hMassDpt->SetBinError(ix-start+1,iy,hMassD->GetBinError(ix,iy));
256 Double_t minMassSig=massFromFit-sigmaRangeForSig*sigmaFromFit;
257 Double_t maxMassSig=massFromFit+sigmaRangeForSig*sigmaFromFit;
258 Int_t minBinSig=hMassD->GetYaxis()->FindBin(minMassSig);
259 Int_t maxBinSig=hMassD->GetYaxis()->FindBin(maxMassSig);
260 Double_t minMassSigBin=hMassD->GetYaxis()->GetBinLowEdge(minBinSig);
261 Double_t maxMassSigBin=hMassD->GetYaxis()->GetBinLowEdge(maxBinSig)+hMassD->GetYaxis()->GetBinWidth(maxBinSig);
262 // printf("Signal Fit Limits = %f %f\n",minMassSigBin,maxMassSigBin);
264 Double_t maxMassBkgLow=massFromFit-sigmaRangeForBkg*sigmaFromFit;
265 Int_t minBinBkgLow=2;
266 Int_t maxBinBkgLow=hMassD->GetYaxis()->FindBin(maxMassBkgLow);
267 Double_t minMassBkgLowBin=hMassD->GetYaxis()->GetBinLowEdge(minBinBkgLow);
268 Double_t maxMassBkgLowBin=hMassD->GetYaxis()->GetBinLowEdge(maxBinBkgLow)+hMassD->GetYaxis()->GetBinWidth(maxBinBkgLow);
269 Double_t minMassBkgHi=massFromFit+sigmaRangeForBkg*sigmaFromFit;
270 Int_t minBinBkgHi=hMassD->GetYaxis()->FindBin(minMassBkgHi);
271 Int_t maxBinBkgHi=hMassD->GetNbinsY()-1;
272 Double_t minMassBkgHiBin=hMassD->GetYaxis()->GetBinLowEdge(minBinBkgHi);
273 Double_t maxMassBkgHiBin=hMassD->GetYaxis()->GetBinLowEdge(maxBinBkgHi)+hMassD->GetYaxis()->GetBinWidth(maxBinBkgHi);
274 // printf("BKG Fit Limits = %f %f && %f %f\n",minMassBkgLowBin,maxMassBkgLowBin,minMassBkgHiBin,maxMassBkgHiBin);
276 Double_t bkgSig=funcB2->Integral(minMassSigBin,maxMassSigBin);
277 Double_t bkgLow=funcB2->Integral(minMassBkgLowBin,maxMassBkgLowBin);
278 Double_t bkgHi=funcB2->Integral(minMassBkgHiBin,maxMassBkgHiBin);
279 // printf("Background integrals = %f %f %f\n",bkgLow,bkgSig,bkgHi);
281 TH1F* hMptBkgLo=(TH1F*)hMassDpt->ProjectionX("hPtBkgLoBin",minBinBkgLow,maxBinBkgLow);
282 TH1F* hMptBkgHi=(TH1F*)hMassDpt->ProjectionX("hPtBkgHiBin",minBinBkgHi,maxBinBkgHi);
283 TH1F* hMptSigReg=(TH1F*)hMassDpt->ProjectionX("hCPtBkgSigBin",minBinSig,maxBinSig);
285 hMptBkgLo->Rebin(rebin);
286 hMptBkgHi->Rebin(rebin);
287 hMptSigReg->Rebin(rebin);
291 TH1F* hMptBkgLoScal=(TH1F*)hMptBkgLo->Clone("hPtBkgLoScalBin");
292 hMptBkgLoScal->Scale(bkgSig/bkgLow);
293 TH1F* hMptBkgHiScal=(TH1F*)hMptBkgHi->Clone("hPtBkgHiScalBin");
294 hMptBkgHiScal->Scale(bkgSig/bkgHi);
296 TH1F* hMptBkgAver=0x0;
297 hMptBkgAver=(TH1F*)hMptBkgLoScal->Clone("hPtBkgAverBin");
298 hMptBkgAver->Add(hMptBkgHiScal);
299 hMptBkgAver->Scale(0.5);
300 TH1F* hMptSig=(TH1F*)hMptSigReg->Clone("hCPtSigBin");
301 hMptSig->Add(hMptBkgAver,-1.);
303 averagePt = hMptSig->GetMean();
304 errorPt = hMptSig->GetMeanError();
309 delete hMptBkgLoScal;
310 delete hMptBkgHiScal;
316 //____________________________________________________________________________
317 Double_t AliVertexingHFUtils::GetTrueImpactParameterDzero(AliAODMCHeader *mcHeader, TClonesArray* arrayMC, AliAODMCParticle *partD) {
318 // true impact parameter calculation for Dzero
320 if(!partD || !arrayMC || !mcHeader) return 99999.;
321 Int_t code=partD->GetPdgCode();
322 if(TMath::Abs(code)!=421) return 99999.;
325 mcHeader->GetVertex(vtxTrue);
327 partD->XvYvZv(origD);
328 Short_t charge=partD->Charge();
329 Double_t pXdauTrue[2],pYdauTrue[2],pZdauTrue[2];
330 for(Int_t iDau=0; iDau<2; iDau++){
336 Int_t nDau=partD->GetNDaughters();
337 Int_t labelFirstDau = partD->GetDaughter(0);
339 for(Int_t iDau=0; iDau<2; iDau++){
340 Int_t ind = labelFirstDau+iDau;
341 AliAODMCParticle* part = dynamic_cast<AliAODMCParticle*>(arrayMC->At(ind));
343 printf("Daughter particle not found in MC array");
346 pXdauTrue[iDau]=part->Px();
347 pYdauTrue[iDau]=part->Py();
348 pZdauTrue[iDau]=part->Pz();
354 Double_t d0dummy[2]={0.,0.};
355 AliAODRecoDecayHF aodDvsMC(vtxTrue,origD,2,charge,pXdauTrue,pYdauTrue,pZdauTrue,d0dummy);
356 return aodDvsMC.ImpParXY();
359 //____________________________________________________________________________
360 Double_t AliVertexingHFUtils::GetTrueImpactParameterDplus(AliAODMCHeader *mcHeader, TClonesArray* arrayMC, AliAODMCParticle *partD) {
361 // true impact parameter calculation for Dplus
363 if(!partD || !arrayMC || !mcHeader) return 99999.;
364 Int_t code=partD->GetPdgCode();
365 if(TMath::Abs(code)!=411) return 99999.;
368 mcHeader->GetVertex(vtxTrue);
370 partD->XvYvZv(origD);
371 Short_t charge=partD->Charge();
372 Double_t pXdauTrue[3],pYdauTrue[3],pZdauTrue[3];
373 for(Int_t iDau=0; iDau<3; iDau++){
379 Int_t nDau=partD->GetNDaughters();
380 Int_t labelFirstDau = partD->GetDaughter(0);
382 for(Int_t iDau=0; iDau<3; iDau++){
383 Int_t ind = labelFirstDau+iDau;
384 AliAODMCParticle* part = dynamic_cast<AliAODMCParticle*>(arrayMC->At(ind));
386 printf("Daughter particle not found in MC array");
389 pXdauTrue[iDau]=part->Px();
390 pYdauTrue[iDau]=part->Py();
391 pZdauTrue[iDau]=part->Pz();
395 for(Int_t iDau=0; iDau<2; iDau++){
396 Int_t ind = labelFirstDau+iDau;
397 AliAODMCParticle* part = dynamic_cast<AliAODMCParticle*>(arrayMC->At(ind));
399 printf("Daughter particle not found in MC array");
402 Int_t pdgCode=TMath::Abs(part->GetPdgCode());
403 if(pdgCode==211 || pdgCode==321){
404 pXdauTrue[theDau]=part->Px();
405 pYdauTrue[theDau]=part->Py();
406 pZdauTrue[theDau]=part->Pz();
409 Int_t nDauRes=part->GetNDaughters();
411 Int_t labelFirstDauRes = part->GetDaughter(0);
412 for(Int_t iDauRes=0; iDauRes<2; iDauRes++){
413 Int_t indDR = labelFirstDauRes+iDauRes;
414 AliAODMCParticle* partDR = dynamic_cast<AliAODMCParticle*>(arrayMC->At(indDR));
416 printf("Daughter particle not found in MC array");
420 Int_t pdgCodeDR=TMath::Abs(partDR->GetPdgCode());
421 if(pdgCodeDR==211 || pdgCodeDR==321){
422 pXdauTrue[theDau]=partDR->Px();
423 pYdauTrue[theDau]=partDR->Py();
424 pZdauTrue[theDau]=partDR->Pz();
432 printf("Wrong number of decay prongs");
437 Double_t d0dummy[3]={0.,0.,0.};
438 AliAODRecoDecayHF aodDvsMC(vtxTrue,origD,3,charge,pXdauTrue,pYdauTrue,pZdauTrue,d0dummy);
439 return aodDvsMC.ImpParXY();
445 //____________________________________________________________________________
446 Double_t AliVertexingHFUtils::GetCorrectedNtracklets(TProfile* estimatorAvg, Double_t uncorrectedNacc, Double_t vtxZ, Double_t refMult) {
448 // Correct the number of accepted tracklets based on a TProfile Hist
452 if(TMath::Abs(vtxZ)>10.0){
453 printf("ERROR: Z vertex out of range for correction of multiplicity\n");
454 return uncorrectedNacc;
458 printf("ERROR: Missing TProfile for correction of multiplicity\n");
459 return uncorrectedNacc;
462 Double_t localAvg = estimatorAvg->GetBinContent(estimatorAvg->FindBin(vtxZ));
464 Double_t deltaM = uncorrectedNacc*(refMult/localAvg - 1);
466 Double_t correctedNacc = uncorrectedNacc + (deltaM>0 ? 1 : -1) * gRandom->Poisson(TMath::Abs(deltaM));
468 return correctedNacc;