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1 /**************************************************************************
2  * Author: Panos Christakoglou.                                           *
3  * Contributors are mentioned in the code where appropriate.              *
4  *                                                                        *
5  * Permission to use, copy, modify and distribute this software and its   *
6  * documentation strictly for non-commercial purposes is hereby granted   *
7  * without fee, provided that the above copyright notice appears in all   *
8  * copies and that both the copyright notice and this permission notice   *
9  * appear in the supporting documentation. The authors make no claims     *
10  * about the suitability of this software for any purpose. It is          *
11  * provided "as is" without express or implied warranty.                  *
12  **************************************************************************/
13
14 /* $Id$ */
15
16 //-----------------------------------------------------------------
17 //           Balance Function class
18 //   This is the class to deal with the Balance Function analysis
19 //   Origin: Panos Christakoglou, UOA-CERN, Panos.Christakoglou@cern.ch
20 //-----------------------------------------------------------------
21
22
23 //ROOT
24 #include <Riostream.h>
25 #include <TMath.h>
26 #include <TAxis.h>
27 #include <TH2D.h>
28 #include <TLorentzVector.h>
29 #include <TObjArray.h>
30 #include <TGraphErrors.h>
31 #include <TString.h>
32
33 #include "AliVParticle.h"
34 #include "AliMCParticle.h"
35 #include "AliESDtrack.h"
36 #include "AliAODTrack.h"
37
38 #include "AliBalance.h"
39
40 ClassImp(AliBalance)
41
42 //____________________________________________________________________//
43 AliBalance::AliBalance() :
44   TObject(), 
45   bShuffle(kFALSE),
46   bHBTcut(kFALSE),
47   bConversionCut(kFALSE),
48   fAnalysisLevel("ESD"),
49   fAnalyzedEvents(0) ,
50   fCentralityId(0) ,
51   fCentStart(0.),
52   fCentStop(0.)
53 {
54   // Default constructor
55  
56   for(Int_t i = 0; i < ANALYSIS_TYPES; i++){
57     if(i == 6) {
58       fNumberOfBins[i] = 180;
59       fP1Start[i]      = -360.0;
60       fP1Stop[i]       = 360.0;
61       fP2Start[i]      = -360.0;
62       fP2Stop[i]       = 360.0;
63       fP2Step[i]       = 0.1;
64     }
65     else {
66       fNumberOfBins[i] = 20;
67       fP1Start[i]      = -1.0;
68       fP1Stop[i]       = 1.0;
69       fP2Start[i]      = 0.0;
70       fP2Stop[i]       = 2.0;
71     }
72     fP2Step[i] = TMath::Abs(fP2Start - fP2Stop) / (Double_t)fNumberOfBins[i];
73     fCentStart = 0.;
74     fCentStop  = 0.;
75
76     fNn[i] = 0.0;
77     fNp[i] = 0.0;
78
79     for(Int_t j = 0; j < MAXIMUM_NUMBER_OF_STEPS; j++) {
80       fNpp[i][j] = .0;
81       fNnn[i][j] = .0;
82       fNpn[i][j] = .0;
83       fNnp[i][j] = .0;
84       fB[i][j] = 0.0;
85       ferror[i][j] = 0.0;
86     }
87
88     fHistP[i]  = NULL;
89     fHistN[i]  = NULL;
90     fHistPP[i] = NULL;
91     fHistPN[i] = NULL;
92     fHistNP[i] = NULL;
93     fHistNN[i] = NULL;
94
95   }
96 }
97
98
99 //____________________________________________________________________//
100 AliBalance::AliBalance(const AliBalance& balance):
101   TObject(balance), 
102   bShuffle(balance.bShuffle),
103   bHBTcut(balance.bHBTcut), 
104   bConversionCut(balance.bConversionCut), 
105   fAnalysisLevel(balance.fAnalysisLevel),
106   fAnalyzedEvents(balance.fAnalyzedEvents), 
107   fCentralityId(balance.fCentralityId),
108   fCentStart(balance.fCentStart),
109   fCentStop(balance.fCentStop) {
110   //copy constructor
111   for(Int_t i = 0; i < ANALYSIS_TYPES; i++){
112     fNn[i] = balance.fNn[i];
113     fNp[i] = balance.fNp[i];
114
115     fP1Start[i]      = balance.fP1Start[i];
116     fP1Stop[i]       = balance.fP1Stop[i];
117     fNumberOfBins[i] = balance.fNumberOfBins[i];
118     fP2Start[i]      = balance.fP2Start[i];
119     fP2Stop[i]       = balance.fP2Stop[i];
120     fP2Step[i]       = balance.fP2Step[i];
121     fCentStart       = balance.fCentStart;
122     fCentStop        = balance.fCentStop; 
123
124     fHistP[i]        = balance.fHistP[i];
125     fHistN[i]        = balance.fHistN[i];
126     fHistPN[i]        = balance.fHistPN[i];
127     fHistNP[i]        = balance.fHistNP[i];
128     fHistPP[i]        = balance.fHistPP[i];
129     fHistNN[i]        = balance.fHistNN[i];
130
131     for(Int_t j = 0; j < MAXIMUM_NUMBER_OF_STEPS; j++) {
132       fNpp[i][j] = .0;
133       fNnn[i][j] = .0;
134       fNpn[i][j] = .0;
135       fNnp[i][j] = .0;
136       fB[i][j] = 0.0;
137       ferror[i][j] = 0.0;
138     } 
139   }
140  }
141  
142
143 //____________________________________________________________________//
144 AliBalance::~AliBalance() {
145   // Destructor
146
147   for(Int_t i = 0; i < ANALYSIS_TYPES; i++){
148  
149     delete fHistP[i];
150     delete fHistN[i];
151     delete fHistPN[i];
152     delete fHistNP[i];
153     delete fHistPP[i];
154     delete fHistNN[i];
155   
156   }
157 }
158
159 //____________________________________________________________________//
160 void AliBalance::SetInterval(Int_t iAnalysisType,
161                              Double_t p1Start, Double_t p1Stop,
162                              Int_t ibins, Double_t p2Start, Double_t p2Stop) {
163   // Sets the analyzed interval. 
164   // Set the same Information for all analyses
165
166   if(iAnalysisType == -1){             
167     for(Int_t i = 0; i < ANALYSIS_TYPES; i++){
168       fP1Start[i] = p1Start;
169       fP1Stop[i] = p1Stop;
170       fNumberOfBins[i] = ibins;
171       fP2Start[i] = p2Start;
172       fP2Stop[i] = p2Stop;
173       fP2Step[i] = TMath::Abs(p2Start - p2Stop) / (Double_t)fNumberOfBins[i];
174     }
175   }
176   // Set the Information for one analysis
177   else if((iAnalysisType > -1) && (iAnalysisType < ANALYSIS_TYPES)) {
178     fP1Start[iAnalysisType] = p1Start;
179     fP1Stop[iAnalysisType] = p1Stop;
180     fNumberOfBins[iAnalysisType] = ibins;
181     fP2Start[iAnalysisType] = p2Start;
182     fP2Stop[iAnalysisType] = p2Stop;
183     fP2Step[iAnalysisType] = TMath::Abs(p2Start - p2Stop) / (Double_t)fNumberOfBins[iAnalysisType];
184   }
185   else {
186     AliError("Wrong ANALYSIS number!");
187   }
188 }
189
190 //____________________________________________________________________//
191 void AliBalance::InitHistograms() {
192   //Initialize the histograms
193   TString histName;
194   for(Int_t iAnalysisType = 0; iAnalysisType < ANALYSIS_TYPES; iAnalysisType++) {
195     histName = "fHistP"; histName += gBFAnalysisType[iAnalysisType]; 
196     if(bShuffle) histName.Append("_shuffle");
197     if(fCentralityId) histName += fCentralityId.Data();
198     fHistP[iAnalysisType] = new TH2D(histName.Data(),"",fCentStop-fCentStart,fCentStart,fCentStop,100,fP1Start[iAnalysisType],fP1Stop[iAnalysisType]);
199
200     histName = "fHistN"; histName += gBFAnalysisType[iAnalysisType]; 
201     if(bShuffle) histName.Append("_shuffle");
202     if(fCentralityId) histName += fCentralityId.Data();
203     fHistN[iAnalysisType] = new TH2D(histName.Data(),"",fCentStop-fCentStart,fCentStart,fCentStop,100,fP1Start[iAnalysisType],fP1Stop[iAnalysisType]);
204   
205     histName = "fHistPN"; histName += gBFAnalysisType[iAnalysisType]; 
206     if(bShuffle) histName.Append("_shuffle");
207     if(fCentralityId) histName += fCentralityId.Data();
208     fHistPN[iAnalysisType] = new TH2D(histName.Data(),"",fCentStop-fCentStart,fCentStart,fCentStop,fNumberOfBins[iAnalysisType],fP2Start[iAnalysisType],fP2Stop[iAnalysisType]);
209     
210     histName = "fHistNP"; histName += gBFAnalysisType[iAnalysisType]; 
211     if(bShuffle) histName.Append("_shuffle");
212     if(fCentralityId) histName += fCentralityId.Data();
213     fHistNP[iAnalysisType] = new TH2D(histName.Data(),"",fCentStop-fCentStart,fCentStart,fCentStop,fNumberOfBins[iAnalysisType],fP2Start[iAnalysisType],fP2Stop[iAnalysisType]);
214     
215     histName = "fHistPP"; histName += gBFAnalysisType[iAnalysisType]; 
216     if(bShuffle) histName.Append("_shuffle");
217     if(fCentralityId) histName += fCentralityId.Data();
218     fHistPP[iAnalysisType] = new TH2D(histName.Data(),"",fCentStop-fCentStart,fCentStart,fCentStop,fNumberOfBins[iAnalysisType],fP2Start[iAnalysisType],fP2Stop[iAnalysisType]);
219     
220     histName = "fHistNN"; histName += gBFAnalysisType[iAnalysisType]; 
221     if(bShuffle) histName.Append("_shuffle");
222     if(fCentralityId) histName += fCentralityId.Data();
223     fHistNN[iAnalysisType] = new TH2D(histName.Data(),"",fCentStop-fCentStart,fCentStart,fCentStop,fNumberOfBins[iAnalysisType],fP2Start[iAnalysisType],fP2Stop[iAnalysisType]);
224   }
225 }
226
227 //____________________________________________________________________//
228 void AliBalance::PrintAnalysisSettings() {
229   
230   Printf("======================================");
231   Printf("Analysis level: %s",fAnalysisLevel.Data());
232   Printf("======================================");
233   for(Int_t ibin = 0; ibin < ANALYSIS_TYPES; ibin++){
234     Printf("Interval info for variable %d",ibin);
235     Printf("Analyzed interval (min.): %lf",fP2Start[ibin]);
236     Printf("Analyzed interval (max.): %lf",fP2Stop[ibin]);
237     Printf("Number of bins: %d",fNumberOfBins[ibin]);
238     Printf("Step: %lf",fP2Step[ibin]);
239     Printf("          ");
240   }
241   Printf("======================================");
242 }
243
244 //____________________________________________________________________//
245 void AliBalance::CalculateBalance(Float_t fCentrality,vector<Double_t> **chargeVector,Float_t bSign) {
246   // Calculates the balance function
247   fAnalyzedEvents++;
248   Int_t i = 0 , j = 0;
249   Int_t iBin = 0;
250
251   // Initialize histograms if not done yet
252   if(!fHistPN[0]){
253     AliWarning("Histograms not yet initialized! --> Will be done now");
254     AliWarning("This works only in local mode --> Add 'gBalance->InitHistograms()' in your configBalanceFunction");
255     InitHistograms();
256   }
257
258   Int_t gNtrack = chargeVector[0]->size();
259   //Printf("(AliBalance) Number of tracks: %d",gNtrack);
260
261   for(i = 0; i < gNtrack;i++){
262       Short_t charge          = chargeVector[0]->at(i);
263       Double_t rapidity       = chargeVector[1]->at(i);
264       Double_t pseudorapidity = chargeVector[2]->at(i);
265       Double_t phi            = chargeVector[3]->at(i);
266       
267       //0:y - 1:eta - 2:Qlong - 3:Qout - 4:Qside - 5:Qinv - 6:phi
268       for(Int_t iAnalysisType = 0; iAnalysisType < ANALYSIS_TYPES; iAnalysisType++) {
269         if(iAnalysisType == kEta) {
270           if((pseudorapidity >= fP1Start[iAnalysisType]) && (pseudorapidity <= fP1Stop[iAnalysisType])) {
271             if(charge > 0) {
272               fNp[iAnalysisType] += 1.;
273               fHistP[iAnalysisType]->Fill(fCentrality,pseudorapidity);
274             }//charge > 0
275             if(charge < 0) {
276               fNn[iAnalysisType] += 1.;
277               fHistN[iAnalysisType]->Fill(fCentrality,pseudorapidity);
278             }//charge < 0
279           }//p1 interval check
280         }//analysis type: eta
281         else if(iAnalysisType == kPhi) {
282           if((phi >= fP1Start[iAnalysisType]) && (phi <= fP1Stop[iAnalysisType])) {
283             if(charge > 0) {
284               fNp[iAnalysisType] += 1.;
285               fHistP[iAnalysisType]->Fill(fCentrality,phi);
286             }//charge > 0
287             if(charge < 0) {
288               fNn[iAnalysisType] += 1.;
289               fHistN[iAnalysisType]->Fill(fCentrality,phi);
290             }//charge < 0
291           }//p1 interval check
292         }//analysis type: phi
293         else {
294           if((rapidity >= fP1Start[iAnalysisType]) && (rapidity <= fP1Stop[iAnalysisType])) {
295             if(charge > 0) {
296               fNp[iAnalysisType] += 1.;
297               fHistP[iAnalysisType]->Fill(fCentrality,rapidity);
298             }//charge > 0
299             if(charge < 0) {
300               fNn[iAnalysisType] += 1.;
301               fHistN[iAnalysisType]->Fill(fCentrality,rapidity);
302             }//charge < 0
303           }//p1 interval check
304         }//analysis type: y, qside, qout, qlong, qinv
305       }//analysis type loop
306   }
307
308   //Printf("Np: %lf - Nn: %lf",fNp[0],fNn[0]);
309
310   Double_t dy = 0., deta = 0.;
311   Double_t qLong = 0., qOut = 0., qSide = 0., qInv = 0.;
312   Double_t dphi = 0.;
313
314   Short_t charge1  = 0;
315   Double_t eta1 = 0., rap1 = 0.;
316   Double_t px1 = 0., py1 = 0., pz1 = 0.;
317   Double_t pt1 = 0.;
318   Double_t energy1 = 0.;
319   Double_t phi1    = 0.;
320
321   Short_t charge2  = 0;
322   Double_t eta2 = 0., rap2 = 0.;
323   Double_t px2 = 0., py2 = 0., pz2 = 0.;
324   Double_t pt2 = 0.;
325   Double_t energy2 = 0.;
326   Double_t phi2    = 0.;
327   //0:y - 1:eta - 2:Qlong - 3:Qout - 4:Qside - 5:Qinv - 6:phi
328   for(i = 1; i < gNtrack; i++) {
329
330       charge1 = chargeVector[0]->at(i);
331       rap1    = chargeVector[1]->at(i);
332       eta1    = chargeVector[2]->at(i);
333       phi1    = chargeVector[3]->at(i);
334       px1     = chargeVector[4]->at(i);
335       py1     = chargeVector[5]->at(i);
336       pz1     = chargeVector[6]->at(i);
337       pt1     = chargeVector[7]->at(i);
338       energy1 = chargeVector[8]->at(i);
339     
340     for(j = 0; j < i; j++) {
341    
342       charge2 = chargeVector[0]->at(j);
343       rap2    = chargeVector[1]->at(j);
344       eta2    = chargeVector[2]->at(j);
345       phi2    = chargeVector[3]->at(j);
346       px2     = chargeVector[4]->at(j);
347       py2     = chargeVector[5]->at(j);
348       pz2     = chargeVector[6]->at(j);
349       pt2     = chargeVector[7]->at(i);
350       energy2 = chargeVector[8]->at(j);
351     
352         // filling the arrays
353
354         // RAPIDITY 
355         dy = TMath::Abs(rap1 - rap2);
356
357         // Eta
358         deta = TMath::Abs(eta1 - eta2);
359
360         //qlong
361         Double_t eTot = energy1 + energy2;
362         Double_t pxTot = px1 + px2;
363         Double_t pyTot = py1 + py2;
364         Double_t pzTot = pz1 + pz2;
365         Double_t q0Tot = energy1 - energy2;
366         Double_t qxTot = px1 - px2;
367         Double_t qyTot = py1 - py2;
368         Double_t qzTot = pz1 - pz2;
369
370         Double_t eTot2 = eTot*eTot;
371         Double_t pTot2 = pxTot*pxTot + pyTot*pyTot + pzTot*pzTot;
372         Double_t pzTot2 = pzTot*pzTot;
373
374         Double_t q0Tot2 = q0Tot*q0Tot;
375         Double_t qTot2  = qxTot*qxTot + qyTot*qyTot + qzTot*qzTot;
376
377         Double_t snn    = eTot2 - pTot2;
378         Double_t ptTot2 = pTot2 - pzTot2 ;
379         Double_t ptTot  = TMath::Sqrt( ptTot2 );
380         
381         qLong = TMath::Abs(eTot*qzTot - pzTot*q0Tot)/TMath::Sqrt(snn + ptTot2);
382         
383         //qout
384         qOut = TMath::Sqrt(snn/(snn + ptTot2)) * TMath::Abs(pxTot*qxTot + pyTot*qyTot)/ptTot;
385         
386         //qside
387         qSide = TMath::Abs(pxTot*qyTot - pyTot*qxTot)/ptTot;
388         
389         //qinv
390         qInv = TMath::Sqrt(TMath::Abs(-q0Tot2 + qTot2 ));
391         
392         //phi
393         dphi = TMath::Abs(phi1 - phi2);
394         if(dphi>180) dphi = 360 - dphi;  //dphi should be between 0 and 180!
395
396         // HBT like cut
397         if(bHBTcut){
398           //if( dphi < 3 || deta < 0.01 ){   // VERSION 1
399           //  continue;
400           
401           // VERSION 2 (Taken from DPhiCorrelations)
402           // the variables & cuthave been developed by the HBT group 
403           // see e.g. https://indico.cern.ch/materialDisplay.py?contribId=36&sessionId=6&materialId=slides&confId=142700
404           
405           // optimization
406           if (TMath::Abs(deta) < 0.02 * 2.5 * 3) //twoTrackEfficiencyCutValue = 0.02 [default for dphicorrelations]
407             {
408               // check first boundaries to see if is worth to loop and find the minimum
409               Float_t dphistar1 = GetDPhiStar(phi1*TMath::DegToRad(), pt1, charge1, phi2*TMath::DegToRad(), pt2, charge2, 0.8, bSign);
410               Float_t dphistar2 = GetDPhiStar(phi1*TMath::DegToRad(), pt1, charge1, phi2*TMath::DegToRad(), pt2, charge2, 2.5, bSign);
411               
412               const Float_t kLimit = 0.02 * 3;
413               
414               Float_t dphistarminabs = 1e5;
415               Float_t dphistarmin = 1e5;
416               if (TMath::Abs(dphistar1) < kLimit || TMath::Abs(dphistar2) < kLimit || dphistar1 * dphistar2 < 0)
417                 {
418                   for (Double_t rad=0.8; rad<2.51; rad+=0.01) 
419                     {
420                       Float_t dphistar = GetDPhiStar(phi1*TMath::DegToRad(), pt1, charge1, phi2*TMath::DegToRad(), pt2, charge2, rad, bSign);
421                       
422                       Float_t dphistarabs = TMath::Abs(dphistar);
423                       
424                       if (dphistarabs < dphistarminabs)
425                         {
426                           dphistarmin = dphistar;
427                           dphistarminabs = dphistarabs;
428                         }
429                     }
430                   
431                   if (dphistarminabs < 0.02 && TMath::Abs(deta) < 0.02)
432                     {
433                       //Printf("Removed track pair %d %d with %f %f %f %f %d %f %f %d %f", i, j, deta, dphistarminabs, phi1, pt1, charge1, phi2, pt2, charge2, bSign);
434                       continue;
435                     }
436                 }
437             }
438         }
439         
440         // conversions
441         if(bConversionCut){
442           if (charge1 * charge2 < 0)
443             {
444               Float_t m0 = 0.510e-3;
445               Float_t tantheta1 = 1e10;
446               
447               if (eta1 < -1e-10 || eta1 > 1e-10)
448                 tantheta1 = 2 * TMath::Exp(-eta1) / ( 1 - TMath::Exp(-2*eta1));
449               
450               Float_t tantheta2 = 1e10;
451               if (eta2 < -1e-10 || eta2 > 1e-10)
452                 tantheta2 = 2 * TMath::Exp(-eta2) / ( 1 - TMath::Exp(-2*eta2));
453               
454               Float_t e1squ = m0 * m0 + pt1 * pt1 * (1.0 + 1.0 / tantheta1 / tantheta1);
455               Float_t e2squ = m0 * m0 + pt2 * pt2 * (1.0 + 1.0 / tantheta2 / tantheta2);
456               
457               Float_t mass = 2 * m0 * m0 + 2 * ( TMath::Sqrt(e1squ * e2squ) - ( pt1 * pt2 * ( TMath::Cos(phi1 - phi2) + 1.0 / tantheta1 / tantheta2 ) ) );
458               
459               if (mass < 0.04*0.04){
460                 //Printf("Removed track pair %d %d with %f %f %d %d ", i, j, deta, mass, charge1, charge2);
461                 continue;
462               }
463             }
464         }
465         
466         
467         //0:y - 1:eta - 2:Qlong - 3:Qout - 4:Qside - 5:Qinv - 6:phi
468         if((rap1 >= fP1Start[kRapidity]) && (rap1 <= fP1Stop[kRapidity]) && (rap2 >= fP1Start[kRapidity]) && (rap2 <= fP1Stop[kRapidity])) {
469
470           // rapidity
471           if( dy > fP2Start[kRapidity] && dy < fP2Stop[kRapidity]){
472             iBin = Int_t((dy-fP2Start[kRapidity])/fP2Step[kRapidity]);
473             if(iBin >=0 && iBin < MAXIMUM_NUMBER_OF_STEPS){
474               
475               if((charge1 > 0)&&(charge2 > 0)) {
476                 fNpp[kRapidity][iBin] += 1.;
477                 fHistPP[kRapidity]->Fill(fCentrality,dy);
478               }
479               else if((charge1 < 0)&&(charge2 < 0)) {
480                 fNnn[kRapidity][iBin] += 1.;
481                 fHistNN[kRapidity]->Fill(fCentrality,dy);
482               }
483               else if((charge1 > 0)&&(charge2 < 0)) {
484                 fNpn[kRapidity][iBin] += 1.;
485                 fHistPN[kRapidity]->Fill(fCentrality,dy);
486               }
487               else if((charge1 < 0)&&(charge2 > 0)) {
488                 fNpn[kRapidity][iBin] += 1.;
489                     fHistPN[kRapidity]->Fill(fCentrality,dy);
490               }
491             }//BF binning check
492           }//p2 interval check
493         }//p1 interval check
494         
495         // pseudorapidity
496         if((eta1 >= fP1Start[kEta]) && (eta1 <= fP1Stop[kEta]) && (eta2 >= fP1Start[kEta]) && (eta2 <= fP1Stop[kEta])) {
497           if( deta > fP2Start[kEta] && deta < fP2Stop[kEta]){
498             iBin = Int_t((deta-fP2Start[kEta])/fP2Step[kEta]);  
499             if(iBin >=0 && iBin < MAXIMUM_NUMBER_OF_STEPS){
500               if((charge1 > 0)&&(charge2 > 0)) {
501                 fNpp[kEta][iBin] += 1.;
502                 fHistPP[kEta]->Fill(fCentrality,deta);
503               }
504               if((charge1 < 0)&&(charge2 < 0)) {
505                 fNnn[kEta][iBin] += 1.;
506                     fHistNN[kEta]->Fill(fCentrality,deta);
507               }
508               if((charge1 > 0)&&(charge2 < 0)) {
509                 fNpn[kEta][iBin] += 1.;
510                 fHistPN[kEta]->Fill(fCentrality,deta);
511               }
512               if((charge1 < 0)&&(charge2 > 0)) {
513                 fNpn[kEta][iBin] += 1.;
514                     fHistPN[kEta]->Fill(fCentrality,deta);
515               }
516             }//BF binning check
517           }//p2 interval check
518         }//p1 interval check
519         
520         // Qlong, out, side, inv
521         // Check the p1 intervall for rapidity here (like for single tracks above)
522         if((rap1 >= fP1Start[kRapidity]) && (rap1 <= fP1Stop[kRapidity]) && (rap2 >= fP1Start[kRapidity]) && (rap2 <= fP1Stop[kRapidity])) {
523           if( qLong > fP2Start[kQlong] && qLong < fP2Stop[kQlong]){
524             iBin = Int_t((qLong-fP2Start[kQlong])/fP2Step[kQlong]);     
525             if(iBin >=0 && iBin < MAXIMUM_NUMBER_OF_STEPS){
526               if((charge1 > 0)&&(charge2 > 0)) {
527                 fNpp[kQlong][iBin] += 1.;
528                 fHistPP[kQlong]->Fill(fCentrality,qLong);
529               }
530               if((charge1 < 0)&&(charge2 < 0)) {
531                 fNnn[kQlong][iBin] += 1.;
532                 fHistNN[kQlong]->Fill(fCentrality,qLong);
533               }
534               if((charge1 > 0)&&(charge2 < 0)) {
535                 fNpn[kQlong][iBin] += 1.;
536                 fHistPN[kQlong]->Fill(fCentrality,qLong);
537               }
538               if((charge1 < 0)&&(charge2 > 0)) {
539                 fNpn[kQlong][iBin] += 1.;
540                 fHistPN[kQlong]->Fill(fCentrality,qLong);
541               }
542             }//BF binning check
543           }//p2 interval check
544         }//p1 interval check
545           
546         if((rap1 >= fP1Start[kRapidity]) && (rap1 <= fP1Stop[kRapidity]) && (rap2 >= fP1Start[kRapidity]) && (rap2 <= fP1Stop[kRapidity])) {
547           if( qOut > fP2Start[kQout] && qOut < fP2Stop[kQout]){
548             iBin = Int_t((qOut-fP2Start[kQout])/fP2Step[kQout]);        
549             if(iBin >=0 && iBin < MAXIMUM_NUMBER_OF_STEPS){
550               if((charge1 > 0)&&(charge2 > 0)) {
551                 fNpp[kQout][iBin] += 1.;
552                 fHistPP[kQout]->Fill(fCentrality,qOut);
553                   }
554               if((charge1 < 0)&&(charge2 < 0)) {
555                 fNnn[kQout][iBin] += 1.;
556                 fHistNN[kQout]->Fill(fCentrality,qOut);
557               }
558               if((charge1 > 0)&&(charge2 < 0)) {
559                 fNpn[kQout][iBin] += 1.;
560                 fHistPN[kQout]->Fill(fCentrality,qOut);
561               }
562               if((charge1 < 0)&&(charge2 > 0)) {
563                 fNpn[kQout][iBin] += 1.;
564                 fHistPN[kQout]->Fill(fCentrality,qOut);
565               }
566             }//BF binning check
567           }//p2 interval check
568         }//p1 interval check    
569         
570         if((rap1 >= fP1Start[kRapidity]) && (rap1 <= fP1Stop[kRapidity]) && (rap2 >= fP1Start[kRapidity]) && (rap2 <= fP1Stop[kRapidity])) {
571           if( qSide > fP2Start[kQside] && qSide < fP2Stop[kQside]){
572             iBin = Int_t((qSide-fP2Start[kQside])/fP2Step[kQside]);     
573             if(iBin >=0 && iBin < MAXIMUM_NUMBER_OF_STEPS){
574               if((charge1 > 0)&&(charge2 > 0)) {
575                 fNpp[kQside][iBin] += 1.;
576                 fHistPP[kQside]->Fill(fCentrality,qSide);
577               }
578               if((charge1 < 0)&&(charge2 < 0)) {
579                 fNnn[kQside][iBin] += 1.;
580                 fHistNN[kQside]->Fill(fCentrality,qSide);
581               }
582               if((charge1 > 0)&&(charge2 < 0)) {
583                 fNpn[kQside][iBin] += 1.;
584                 fHistPN[kQside]->Fill(fCentrality,qSide);
585               }
586               if((charge1 < 0)&&(charge2 > 0)) {
587                 fNpn[kQside][iBin] += 1.;
588                 fHistPN[kQside]->Fill(fCentrality,qSide);
589                           }
590             }//BF binning check
591           }//p2 interval check
592         }//p1 interval check
593         
594         if((rap1 >= fP1Start[kRapidity]) && (rap1 <= fP1Stop[kRapidity]) && (rap2 >= fP1Start[kRapidity]) && (rap2 <= fP1Stop[kRapidity])) {
595           if( qInv > fP2Start[kQinv] && qInv < fP2Stop[kQinv]){
596             iBin = Int_t((qInv-fP2Start[kQinv])/fP2Step[kQinv]);        
597             if(iBin >=0 && iBin < MAXIMUM_NUMBER_OF_STEPS){
598               if((charge1 > 0)&&(charge2 > 0)) {
599                 fNpp[kQinv][iBin] += 1.;
600                 fHistPP[kQinv]->Fill(fCentrality,qInv);
601               }
602               if((charge1 < 0)&&(charge2 < 0)) {
603                 fNnn[kQinv][iBin] += 1.;
604                 fHistNN[kQinv]->Fill(fCentrality,qInv);
605               }
606               if((charge1 > 0)&&(charge2 < 0)) {
607                 fNpn[kQinv][iBin] += 1.;
608                 fHistPN[kQinv]->Fill(fCentrality,qInv);
609               }
610               if((charge1 < 0)&&(charge2 > 0)) {
611                 fNpn[kQinv][iBin] += 1.;
612                 fHistPN[kQinv]->Fill(fCentrality,qInv);
613               }
614             }//BF binning check
615           }//p2 interval check
616         }//p1 interval check
617         
618         // Phi
619         if((phi1 >= fP1Start[kPhi]) && (phi1 <= fP1Stop[kPhi]) && (phi2 >= fP1Start[kPhi]) && (phi2 <= fP1Stop[kPhi])) {
620           if( dphi > fP2Start[kPhi] && dphi < fP2Stop[kPhi]){
621             iBin = Int_t((dphi-fP2Start[kPhi])/fP2Step[kPhi]);  
622             if(iBin >=0 && iBin < MAXIMUM_NUMBER_OF_STEPS){
623               if((charge1 > 0)&&(charge2 > 0)) {
624                 fNpp[kPhi][iBin] += 1.;
625                 fHistPP[kPhi]->Fill(fCentrality,dphi);
626               }
627               if((charge1 < 0)&&(charge2 < 0)) {
628                 fNnn[kPhi][iBin] += 1.;
629                 fHistNN[kPhi]->Fill(fCentrality,dphi);
630               }
631               if((charge1 > 0)&&(charge2 < 0)) {
632                 fNpn[kPhi][iBin] += 1.;
633                 fHistPN[kPhi]->Fill(fCentrality,dphi);
634               }
635               if((charge1 < 0)&&(charge2 > 0)) {
636                 fNpn[kPhi][iBin] += 1.;
637                 fHistPN[kPhi]->Fill(fCentrality,dphi);
638               }
639             }//BF binning check
640           }//p2 interval check
641         }//p1 interval check
642     }//end of 2nd particle loop
643   }//end of 1st particle loop
644   //Printf("Number of analyzed events: %i",fAnalyzedEvents);
645   //Printf("DeltaEta NN[0] = %.0f, PP[0] = %.0f, NP[0] = %.0f, PN[0] = %.0f",fNnn[kEta][0],fNpp[kEta][0],fNnp[kEta][0],fNpn[kEta][0]);
646 }  
647
648
649 //____________________________________________________________________//
650 Double_t AliBalance::GetBalance(Int_t iAnalysisType, Int_t p2) {
651   // Returns the value of the balance function in bin p2
652   fB[iAnalysisType][p2] = 0.5*(((fNpn[iAnalysisType][p2] - 2.*fNnn[iAnalysisType][p2])/fNn[iAnalysisType]) + ((fNpn[iAnalysisType][p2] - 2.*fNpp[iAnalysisType][p2])/fNp[iAnalysisType]))/fP2Step[iAnalysisType];
653   
654   return fB[iAnalysisType][p2];
655 }
656     
657 //____________________________________________________________________//
658 Double_t AliBalance::GetError(Int_t iAnalysisType, Int_t p2) {        
659   // Returns the error on the BF value for bin p2
660   // The errors for fNn and fNp are neglected here (0.1 % of total error)
661   /*ferror[iAnalysisType][p2] = TMath::Sqrt(Double_t(fNpp[iAnalysisType][p2])/(Double_t(fNp[iAnalysisType])*Double_t(fNp[iAnalysisType]))
662                               + Double_t(fNnn[iAnalysisType][p2])/(Double_t(fNn[iAnalysisType])*Double_t(fNn[iAnalysisType]))
663                               + Double_t(fNpn[iAnalysisType][p2])/(Double_t(fNp[iAnalysisType])*Double_t(fNp[iAnalysisType])) 
664                               + Double_t(fNnp[iAnalysisType][p2])/(Double_t(fNp[iAnalysisType])*Double_t(fNp[iAnalysisType]))
665                               //+ TMath::Power(fNpn[iAnalysisType][p2]-fNpp[iAnalysisType][p2],2)/TMath::Power(Double_t(fNp[iAnalysisType]),3)
666                               //+ TMath::Power(fNnp[iAnalysisType][p2]-fNnn[iAnalysisType][p2],2)/TMath::Power(Double_t(fNn[iAnalysisType]),3) 
667                                ) /fP2Step[iAnalysisType];*/
668
669   ferror[iAnalysisType][p2] = TMath::Sqrt( Double_t(fNpp[iAnalysisType][p2])/(Double_t(fNp[iAnalysisType])*Double_t(fNp[iAnalysisType])) + 
670                                            Double_t(fNnn[iAnalysisType][p2])/(Double_t(fNn[iAnalysisType])*Double_t(fNn[iAnalysisType])) + 
671                                            Double_t(fNpn[iAnalysisType][p2])*TMath::Power((0.5/Double_t(fNp[iAnalysisType]) + 0.5/Double_t(fNn[iAnalysisType])),2))/fP2Step[iAnalysisType];
672   
673   return ferror[iAnalysisType][p2];
674 }
675 //____________________________________________________________________//
676 TGraphErrors *AliBalance::DrawBalance(Int_t iAnalysisType) {
677
678   // Draws the BF
679   Double_t x[MAXIMUM_NUMBER_OF_STEPS];
680   Double_t xer[MAXIMUM_NUMBER_OF_STEPS];
681   Double_t b[MAXIMUM_NUMBER_OF_STEPS];
682   Double_t ber[MAXIMUM_NUMBER_OF_STEPS];
683
684   if((fNp[iAnalysisType] == 0)||(fNn[iAnalysisType] == 0)) {
685     cerr<<"Couldn't find any particles in the analyzed interval!!!"<<endl;
686     return NULL;
687   }
688   
689   for(Int_t i = 0; i < fNumberOfBins[iAnalysisType]; i++) {
690     b[i] = GetBalance(iAnalysisType,i);
691     ber[i] = GetError(iAnalysisType,i);
692     x[i] = fP2Start[iAnalysisType] + fP2Step[iAnalysisType]*i + fP2Step[iAnalysisType]/2;
693     xer[i] = 0.0;
694   }
695   
696   TGraphErrors *gr = new TGraphErrors(fNumberOfBins[iAnalysisType],x,b,xer,ber);
697   gr->GetXaxis()->SetTitleColor(1);
698   if(iAnalysisType==0) {
699     gr->SetTitle("Balance function B(#Delta y)");
700     gr->GetXaxis()->SetTitle("#Delta y");
701     gr->GetYaxis()->SetTitle("B(#Delta y)");
702   }
703   if(iAnalysisType==1) {
704     gr->SetTitle("Balance function B(#Delta #eta)");
705     gr->GetXaxis()->SetTitle("#Delta #eta");
706     gr->GetYaxis()->SetTitle("B(#Delta #eta)");
707   }
708   if(iAnalysisType==2) {
709     gr->SetTitle("Balance function B(q_{long})");
710     gr->GetXaxis()->SetTitle("q_{long} (GeV/c)");
711     gr->GetYaxis()->SetTitle("B(q_{long}) ((GeV/c)^{-1})");
712   }
713   if(iAnalysisType==3) {
714     gr->SetTitle("Balance function B(q_{out})");
715     gr->GetXaxis()->SetTitle("q_{out} (GeV/c)");
716     gr->GetYaxis()->SetTitle("B(q_{out}) ((GeV/c)^{-1})");
717   }
718   if(iAnalysisType==4) {
719     gr->SetTitle("Balance function B(q_{side})");
720     gr->GetXaxis()->SetTitle("q_{side} (GeV/c)");
721     gr->GetYaxis()->SetTitle("B(q_{side}) ((GeV/c)^{-1})");
722   }
723   if(iAnalysisType==5) {
724     gr->SetTitle("Balance function B(q_{inv})");
725     gr->GetXaxis()->SetTitle("q_{inv} (GeV/c)");
726     gr->GetYaxis()->SetTitle("B(q_{inv}) ((GeV/c)^{-1})");
727   }
728   if(iAnalysisType==6) {
729     gr->SetTitle("Balance function B(#Delta #phi)");
730     gr->GetXaxis()->SetTitle("#Delta #phi");
731     gr->GetYaxis()->SetTitle("B(#Delta #phi)");
732   }
733
734   return gr;
735 }
736
737 //____________________________________________________________________//
738 void AliBalance::PrintResults(Int_t iAnalysisType, TH1D *gHistBalance) {
739   //Prints the calculated width of the BF and its error
740   Double_t x[MAXIMUM_NUMBER_OF_STEPS];
741   Double_t gSumXi = 0.0, gSumBi = 0.0, gSumBiXi = 0.0;
742   Double_t gSumBiXi2 = 0.0, gSumBi2Xi2 = 0.0;
743   Double_t gSumDeltaBi2 = 0.0, gSumXi2DeltaBi2 = 0.0;
744   Double_t deltaBalP2 = 0.0, integral = 0.0;
745   Double_t deltaErrorNew = 0.0;
746   
747   cout<<"=================================================="<<endl;
748   for(Int_t i = 1; i <= fNumberOfBins[iAnalysisType]; i++) { 
749     x[i-1] = fP2Start[iAnalysisType] + fP2Step[iAnalysisType]*i + fP2Step[iAnalysisType]/2;
750     //cout<<"B: "<<gHistBalance->GetBinContent(i)<<"\t Error: "<<gHistBalance->GetBinError(i)<<"\t bin: "<<gHistBalance->GetBinCenter(i)<<endl;
751   } 
752   //cout<<"=================================================="<<endl;
753   for(Int_t i = 2; i <= fNumberOfBins[iAnalysisType]; i++) {
754     gSumXi += gHistBalance->GetBinCenter(i);
755     gSumBi += gHistBalance->GetBinContent(i);
756     gSumBiXi += gHistBalance->GetBinContent(i)*gHistBalance->GetBinCenter(i);
757     gSumBiXi2 += gHistBalance->GetBinContent(i)*TMath::Power(gHistBalance->GetBinCenter(i),2);
758     gSumBi2Xi2 += TMath::Power(gHistBalance->GetBinContent(i),2)*TMath::Power(gHistBalance->GetBinCenter(i),2);
759     gSumDeltaBi2 +=  TMath::Power(gHistBalance->GetBinError(i),2);
760     gSumXi2DeltaBi2 += TMath::Power(gHistBalance->GetBinCenter(i),2) * TMath::Power(gHistBalance->GetBinError(i),2);
761     
762     deltaBalP2 += fP2Step[iAnalysisType]*TMath::Power(gHistBalance->GetBinError(i),2);
763     integral += fP2Step[iAnalysisType]*gHistBalance->GetBinContent(i);
764   }
765   for(Int_t i = 1; i < fNumberOfBins[iAnalysisType]; i++)
766     deltaErrorNew += gHistBalance->GetBinError(i)*(gHistBalance->GetBinCenter(i)*gSumBi - gSumBiXi)/TMath::Power(gSumBi,2);
767   
768   Double_t integralError = TMath::Sqrt(deltaBalP2);
769   
770   Double_t delta = gSumBiXi / gSumBi;
771   Double_t deltaError = (gSumBiXi / gSumBi) * TMath::Sqrt(TMath::Power((TMath::Sqrt(gSumXi2DeltaBi2)/gSumBiXi),2) + TMath::Power((gSumDeltaBi2/gSumBi),2) );
772   cout<<"Analysis type: "<<gBFAnalysisType[iAnalysisType].Data()<<endl;
773   cout<<"Width: "<<delta<<"\t Error: "<<deltaError<<endl;
774   cout<<"New error: "<<deltaErrorNew<<endl;
775   cout<<"Integral: "<<integral<<"\t Error: "<<integralError<<endl;
776   cout<<"=================================================="<<endl;
777 }
778  
779 //____________________________________________________________________//
780 TH1D *AliBalance::GetBalanceFunctionHistogram(Int_t iAnalysisType,Double_t centrMin, Double_t centrMax, Double_t etaWindow) {
781   //Returns the BF histogram, extracted from the 6 TH2D objects 
782   //(private members) of the AliBalance class.
783   //
784   // Acceptance correction: 
785   // - only for analysis type = kEta
786   // - only if etaWindow > 0 (default = -1.)
787   // - calculated as proposed by STAR 
788   //
789   TString gAnalysisType[ANALYSIS_TYPES] = {"y","eta","qlong","qout","qside","qinv","phi"};
790   TString histName = "gHistBalanceFunctionHistogram";
791   histName += gAnalysisType[iAnalysisType];
792
793   SetInterval(iAnalysisType, fHistP[iAnalysisType]->GetYaxis()->GetXmin(),
794               fHistP[iAnalysisType]->GetYaxis()->GetXmin(),
795               fHistPP[iAnalysisType]->GetNbinsY(),
796               fHistPP[iAnalysisType]->GetYaxis()->GetXmin(),
797               fHistPP[iAnalysisType]->GetYaxis()->GetXmax());
798
799   // determine the projection thresholds
800   Int_t binMinX, binMinY, binMinZ;
801   Int_t binMaxX, binMaxY, binMaxZ;
802
803   fHistPP[iAnalysisType]->GetBinXYZ(fHistPP[iAnalysisType]->FindBin(centrMin),binMinX,binMinY,binMinZ);
804   fHistPP[iAnalysisType]->GetBinXYZ(fHistPP[iAnalysisType]->FindBin(centrMax),binMaxX,binMaxY,binMaxZ);
805
806   TH1D *gHistBalanceFunctionHistogram = new TH1D(histName.Data(),"",fHistPP[iAnalysisType]->GetNbinsY(),fHistPP[iAnalysisType]->GetYaxis()->GetXmin(),fHistPP[iAnalysisType]->GetYaxis()->GetXmax());
807   switch(iAnalysisType) {
808   case kRapidity:
809     gHistBalanceFunctionHistogram->GetXaxis()->SetTitle("#Delta y");
810     gHistBalanceFunctionHistogram->GetYaxis()->SetTitle("B(#Delta y)");
811     break;
812   case kEta:
813     gHistBalanceFunctionHistogram->GetXaxis()->SetTitle("#Delta #eta");
814     gHistBalanceFunctionHistogram->GetYaxis()->SetTitle("B(#Delta #eta)");
815     break;
816   case kQlong:
817     gHistBalanceFunctionHistogram->GetXaxis()->SetTitle("q_{long} (GeV/c)");
818     gHistBalanceFunctionHistogram->GetYaxis()->SetTitle("B(q_{long})");
819     break;
820   case kQout:
821     gHistBalanceFunctionHistogram->GetXaxis()->SetTitle("q_{out} (GeV/c)");
822     gHistBalanceFunctionHistogram->GetYaxis()->SetTitle("B(q_{out})");
823     break;
824   case kQside:
825     gHistBalanceFunctionHistogram->GetXaxis()->SetTitle("q_{side} (GeV/c)");
826     gHistBalanceFunctionHistogram->GetYaxis()->SetTitle("B(q_{side})");
827     break;
828   case kQinv:
829     gHistBalanceFunctionHistogram->GetXaxis()->SetTitle("q_{inv} (GeV/c)");
830     gHistBalanceFunctionHistogram->GetYaxis()->SetTitle("B(q_{inv})");
831     break;
832   case kPhi:
833     gHistBalanceFunctionHistogram->GetXaxis()->SetTitle("#Delta #phi (deg.)");
834     gHistBalanceFunctionHistogram->GetYaxis()->SetTitle("B(#Delta #phi)");
835     break;
836   default:
837     break;
838   }
839
840   TH1D *hTemp1 = dynamic_cast<TH1D *>(fHistPN[iAnalysisType]->ProjectionY(Form("%s_Cent_%.0f_%.0f",fHistPN[iAnalysisType]->GetName(),centrMin,centrMax),binMinX,binMaxX));
841   TH1D *hTemp2 = dynamic_cast<TH1D *>(fHistPN[iAnalysisType]->ProjectionY(Form("%s_Cent_%.0f_%.0f_copy",fHistPN[iAnalysisType]->GetName(),centrMin,centrMax),binMinX,binMaxX));
842   TH1D *hTemp3 = dynamic_cast<TH1D *>(fHistNN[iAnalysisType]->ProjectionY(Form("%s_Cent_%.0f_%.0f",fHistNN[iAnalysisType]->GetName(),centrMin,centrMax),binMinX,binMaxX));
843   TH1D *hTemp4 = dynamic_cast<TH1D *>(fHistPP[iAnalysisType]->ProjectionY(Form("%s_Cent_%.0f_%.0f",fHistPP[iAnalysisType]->GetName(),centrMin,centrMax),binMinX,binMaxX));
844   TH1D *hTemp5 = dynamic_cast<TH1D *>(fHistN[iAnalysisType]->ProjectionY(Form("%s_Cent_%.0f_%.0f",fHistN[iAnalysisType]->GetName(),centrMin,centrMax),binMinX,binMaxX));
845   TH1D *hTemp6 = dynamic_cast<TH1D *>(fHistP[iAnalysisType]->ProjectionY(Form("%s_Cent_%.0f_%.0f",fHistP[iAnalysisType]->GetName(),centrMin,centrMax),binMinX,binMaxX));
846
847   if((hTemp1)&&(hTemp2)&&(hTemp3)&&(hTemp4)) {
848     hTemp1->Sumw2();
849     hTemp2->Sumw2();
850     hTemp3->Sumw2();
851     hTemp4->Sumw2();
852     hTemp1->Add(hTemp3,-2.);
853     hTemp1->Scale(1./hTemp5->GetEntries());
854     hTemp2->Add(hTemp4,-2.);
855     hTemp2->Scale(1./hTemp6->GetEntries());
856     gHistBalanceFunctionHistogram->Add(hTemp1,hTemp2,1.,1.);
857     gHistBalanceFunctionHistogram->Scale(0.5/fP2Step[iAnalysisType]);
858   }
859
860   // do the acceptance correction (only for Eta and etaWindow > 0)
861   if(iAnalysisType == kEta && etaWindow > 0){
862     for(Int_t iBin = 0; iBin < gHistBalanceFunctionHistogram->GetNbinsX(); iBin++){
863       
864       Double_t notCorrected = gHistBalanceFunctionHistogram->GetBinContent(iBin+1);
865       Double_t corrected    = notCorrected / (1 - (gHistBalanceFunctionHistogram->GetBinCenter(iBin+1))/ etaWindow );
866       gHistBalanceFunctionHistogram->SetBinContent(iBin+1, corrected);
867       
868     }
869   }
870   
871   PrintResults(iAnalysisType,gHistBalanceFunctionHistogram);
872
873   return gHistBalanceFunctionHistogram;
874 }