[PWGDQ] Average of Correlators - Multi-particle cumulants method (#8229)

Author: victorvalenciatorres

PWGDQ/Core/HistogramsLibrary.cxx

@@ -233,6 +233,8 @@ void o2::aod::dqhistograms::DefineHistograms(HistogramManager* hm, const char* h
       hm->AddHistogram(histClass, "Psi2C_CentFT0C", "", false, 18, 0.0, 90.0, VarManager::kCentFT0C, 100, -2.0, 2.0, VarManager::kPsi2C);
       hm->AddHistogram(histClass, "centrFT0C_Corr2REF_ev", "", true, 18, 0.0, 90.0, VarManager::kCentFT0C, 500, -1.0, 1.0, VarManager::kCORR2REF, VarManager::kM11REF);
       hm->AddHistogram(histClass, "centrFT0C_Corr4REF_ev", "", true, 18, 0.0, 90.0, VarManager::kCentFT0C, 500, -1.0, 1.0, VarManager::kCORR4REF, VarManager::kM1111REF);
+      hm->AddHistogram(histClass, "Corr2REFerrors", "", 4, std::array<int, 4>{VarManager::kCentFT0C, VarManager::kCORR2REFw, VarManager::kCORR2REFsquaredw, VarManager::kM11REF}.data(), std::array<int, 4>{18, 500, 500, 500}.data(), std::array<double, 4>{0.0, -40000.0, -10.0, 0.0}.data(), std::array<double, 4>{90.0, 40000.0, 1000.0, 7000000.0}.data(), nullptr, -1, true, true);
+      hm->AddHistogram(histClass, "Corr4REFerrors", "", 4, std::array<int, 4>{VarManager::kCentFT0C, VarManager::kCORR4REFw, VarManager::kCORR4REFsquaredw, VarManager::kM1111REF}.data(), std::array<int, 4>{18, 500, 500, 500}.data(), std::array<double, 4>{0.0, -40000.0, -10.0, 0.0}.data(), std::array<double, 4>{90.0, 40000.0, 1000.0, 7000000.0}.data(), nullptr, -1, true, true);
       if (subGroupStr.Contains("cross")) {
         hm->AddHistogram(histClass, "Q1ZNACXX_CentFT0C", "", false, 90, 0.0, 90.0, VarManager::kCentFT0C, 4000, -2, 2, VarManager::kQ1ZNACXX);
         hm->AddHistogram(histClass, "Q1ZNACYY_CentFT0C", "", false, 90, 0.0, 90.0, VarManager::kCentFT0C, 4000, -2, 2, VarManager::kQ1ZNACYY);

PWGDQ/Core/VarManager.cxx

@@ -763,12 +763,28 @@ void VarManager::SetDefaultVarNames()
   fgVariableUnits[kM0111POI] = "";
   fgVariableNames[kCORR2REF] = "<2> ";
   fgVariableUnits[kCORR2REF] = "";
+  fgVariableNames[kCORR2REFw] = "<2w> ";
+  fgVariableUnits[kCORR2REFw] = "";
+  fgVariableNames[kCORR2REFsquaredw] = "<M11*2^2> ";
+  fgVariableUnits[kCORR2REFsquaredw] = "";
   fgVariableNames[kCORR2POI] = "<2'> ";
   fgVariableUnits[kCORR2POI] = "";
+  fgVariableNames[kCORR2POIw] = "<2'w> ";
+  fgVariableUnits[kCORR2POIw] = "";
+  fgVariableNames[kCORR2POIsquaredw] = "<M01*2'^2> ";
+  fgVariableUnits[kCORR2POIsquaredw] = "";
   fgVariableNames[kCORR4REF] = "<4> ";
   fgVariableUnits[kCORR4REF] = "";
+  fgVariableNames[kCORR4REFw] = "<4w> ";
+  fgVariableUnits[kCORR4REFw] = "";
+  fgVariableNames[kCORR4REFsquaredw] = "<M1111*4^2> ";
+  fgVariableUnits[kCORR4REFsquaredw] = "";
   fgVariableNames[kCORR4POI] = "<4'> ";
   fgVariableUnits[kCORR4POI] = "";
+  fgVariableNames[kCORR4POIw] = "<4'w> ";
+  fgVariableUnits[kCORR4POIw] = "";
+  fgVariableNames[kCORR4POIsquaredw] = "<M0111*2'^2> ";
+  fgVariableUnits[kCORR4POIsquaredw] = "";
   fgVariableNames[kM11REFoverMp] = "M_{11}^{REF}/M_{p} ";
   fgVariableUnits[kM11REFoverMp] = "";
   fgVariableNames[kM01POIoverMp] = "M^{'}_{01}^{POI}/M_{p} ";
@@ -779,8 +795,16 @@ void VarManager::SetDefaultVarNames()
   fgVariableUnits[kM0111POIoverMp] = "";
   fgVariableNames[kCORR2POIMp] = "<2'> M_{p} ";
   fgVariableUnits[kCORR2POIMp] = "";
+  fgVariableNames[kCORR2POIMpw] = "<2'w> M_{p} ";
+  fgVariableUnits[kCORR2POIMpw] = "";
+  fgVariableNames[kCORR2POIsquaredMpw] = "<2'w>^{2} M_{p}  ";
+  fgVariableUnits[kCORR2POIsquaredMpw] = "";
   fgVariableNames[kCORR4POIMp] = "<4'> M_{p} ";
   fgVariableUnits[kCORR4POIMp] = "";
+  fgVariableNames[kCORR4POIMpw] = "<4'w> M_{p} ";
+  fgVariableUnits[kCORR4POIMpw] = "";
+  fgVariableNames[kCORR4POIsquaredMpw] = "<4'w>^{2} M_{p}  ";
+  fgVariableUnits[kCORR4POIsquaredMpw] = "";
   fgVariableNames[kCos2DeltaPhi] = "cos 2(#varphi-#Psi_{2}^{A}) ";
   fgVariableUnits[kCos2DeltaPhi] = "";
   fgVariableNames[kCos3DeltaPhi] = "cos 3(#varphi-#Psi_{3}^{A}) ";

PWGDQ/Core/VarManager.h

@@ -622,15 +622,27 @@ class VarManager : public TObject
     kM1111REF,
     kM0111POI,
     kCORR2REF,
+    kCORR2REFw,
+    kCORR2REFsquaredw,
     kCORR2POI,
+    kCORR2POIw,
+    kCORR2POIsquaredw,
+    kCORR2POIsquaredMpw,
     kCORR4REF,
+    kCORR4REFw,
+    kCORR4REFsquaredw,
     kCORR4POI,
+    kCORR4POIw,
+    kCORR4POIsquaredw,
+    kCORR4POIsquaredMpw,
     kM11REFoverMp,
     kM01POIoverMp,
     kM1111REFoverMp,
     kM0111POIoverMp,
     kCORR2POIMp,
     kCORR4POIMp,
+    kCORR2POIMpw,
+    kCORR4POIMpw,
     kPsi2A,
     kPsi2APOS,
     kPsi2ANEG,
@@ -1595,8 +1607,12 @@ void VarManager::FillEvent(T const& event, float* values)
     if constexpr ((fillMap & ReducedEventRefFlow) > 0) {
       values[kM1111REF] = event.m1111ref();
       values[kM11REF] = event.m11ref();
-      values[kCORR4REF] = event.corr4ref();
       values[kCORR2REF] = event.corr2ref();
+      values[kCORR2REFw] = event.corr2ref();
+      values[kCORR2REFsquaredw] = event.corr2ref();
+      values[kCORR4REF] = event.corr4ref();
+      values[kCORR4REFw] = event.corr4ref();
+      values[kCORR4REFsquaredw] = event.corr4ref();
       values[kMultA] = event.multa();
     }
   }
@@ -3926,6 +3942,10 @@ void VarManager::FillQVectorFromGFW(C const& /*collision*/, A const& compA11, A
   values[kCORR4REF] = (pow(norm(compA21), 2) + norm(compA42) - 2. * (compA42 * conj(compA21) * conj(compA21)).real() + 8. * (compA23 * conj(compA21)).real() - 4. * S12A * norm(compA21) - 6. * S14A - 2. * S22A) / values[kM1111REF];
   values[kCORR2REF] = std::isnan(values[kCORR2REF]) || std::isinf(values[kCORR2REF]) ? 0 : values[kCORR2REF];
   values[kCORR4REF] = std::isnan(values[kCORR4REF]) || std::isinf(values[kCORR4REF]) ? 0 : values[kCORR4REF];
+  values[kCORR2REFw] = values[kCORR2REF] * values[kM11REF];
+  values[kCORR2REFsquaredw] = values[kCORR2REF] * values[kCORR2REF] * values[kM11REF];
+  values[kCORR4REFw] = values[kCORR4REF] * values[kM1111REF];
+  values[kCORR4REFsquaredw] = values[kCORR4REF] * values[kCORR4REF] * values[kM1111REF];
 
   // TODO: provide different computations for R
   // Compute the R factor using the 2 sub-events technique for second and third harmonic