Resolve "pi0 resolution for ECal barrel"

Closes #19 (closed)

benchmarks/barrel_ecal/scripts/emcal_barrel_pions_analysis.cxx

@@ -41,7 +41,12 @@ void emcal_barrel_pions_analysis(const char* input_fname = "sim_output/sim_emcal
   std::string test_tag = "Barrel_emcal_pi0";
   //TODO: Change test_tag to something else
   std:string detector = "Barrel_emcal";
-  double resolutionTarget = 0.1;
+  // Energy resolution in the barrel region(-1 < eta < 1)
+  // Taken from : Initial considerations for EMCal of the EIC detector by A. Bazilevsky
+  // sigma_E / E = 12% / E^0.5 convoluted with 2%
+  // sigma_E / E = [ (0.12/E^0.5)^2 + 0.02^2]^0.5, with E in [GeV]
+  double thrown_energy = 5; // Current thrown energy, will need to grab from json file
+  double resolutionTarget = TMath::Sqrt(0.12 * 0.12 / thrown_energy + 0.02 * 0.02);
 
   eic::util::Test pi0_energy_resolution{
       {{"name", fmt::format("{}_energy_resolution", test_tag)},
@@ -54,14 +59,9 @@ void emcal_barrel_pions_analysis(const char* input_fname = "sim_output/sim_emcal
 
   ROOT::EnableImplicitMT();
   ROOT::RDataFrame d0("events", input_fname);
-/*
-  auto colNames = d0.GetColumnNames();
 
-  ofstream out;
-  out.open("results/column_list.txt");
-  for (auto &&col : colNames){out << col << endl; cout << col << endl;}
-  out.close();
-  */
+  // Sampling Fraction
+  double samp_frac = 0.0136;
 
   // Thrown Energy [GeV]
   auto Ethr = [](std::vector<dd4pod::Geant4ParticleData> const& input) {
@@ -94,49 +94,61 @@ void emcal_barrel_pions_analysis(const char* input_fname = "sim_output/sim_emcal
     return result;
   };
 
-  // Energy Resolution = Esampling - Ethrown
-  auto eResol = [](const std::vector<double>& sampled, const std::vector<double>& thrown) {
+  // Energy Resolution = Esampling/Sampling_fraction - Ethrown
+  auto eResol = [samp_frac](const std::vector<double>& sampled, const std::vector<double>& thrown) {
     std::vector<double> result;
     auto it_sam = sampled.cbegin();
     auto it_thr = thrown.cbegin();
     for (; it_sam != sampled.end() && it_thr != thrown.end(); ++it_sam, ++it_thr) {
-        result.push_back(*it_sam - *it_thr);
+        result.push_back(*it_sam / samp_frac - *it_thr);
     }
     return result;
   };
 
-  // Relative Energy Resolution = (Esampling - Ethrown)/Ethrown
-  auto eResol_rel = [](const std::vector<double>& sampled, const std::vector<double>& thrown) {
+  // Relative Energy Resolution = (Esampling/Sampling fraction - Ethrown)/Ethrown
+  auto eResol_rel = [samp_frac](const std::vector<double>& sampled, const std::vector<double>& thrown) {
     std::vector<double> result;
     auto it_sam = sampled.cbegin();
     auto it_thr = thrown.cbegin();
     for (; it_sam != sampled.end() && it_thr != thrown.end(); ++it_sam, ++it_thr) {
-        result.push_back((*it_sam - *it_thr) / *it_thr);
+        result.push_back((*it_sam / samp_frac - *it_thr) / *it_thr);
     }
     return result;
   };
 
-  // Relative Energy Resolution = (Esampling - Ethrown)/Ethrown
+  // Returns the pdgID of the particle
   auto getpid = [](std::vector<dd4pod::Geant4ParticleData> const& input) {
     return input[2].pdgID;
   };
 
+  // Returns number of particle daughters
+  auto getdau = [](std::vector<dd4pod::Geant4ParticleData> const& input) {
+    return input[2].daughters_begin;
+  };
+
   // Define variables
-  auto d1 = d0.Define("Ethr",  Ethr,  {"mcparticles"})
-	      .Define("nhits",  nhits,      {"EcalBarrelHits"})
-	      .Define("Esim",   Esim,       {"EcalBarrelHits"})
-        .Define("fsam",   fsam,       {"Esim","Ethr"})
-        .Define("dE",     eResol,     {"Esim","Ethr"})
-        .Define("dE_rel", eResol_rel, {"Esim","Ethr"})
-        .Define("pid", getpid, {"mcparticles"})
-	      ;
+  auto d1 = d0.Define("Ethr",   Ethr,       {"mcparticles"})
+              .Define("nhits",  nhits,      {"EcalBarrelHits"})
+              .Define("Esim",   Esim,       {"EcalBarrelHits"})
+              .Define("fsam",   fsam,       {"Esim","Ethr"})
+              .Define("pid",    getpid,     {"mcparticles"})
+              .Define("dau",    getdau,     {"mcparticles"})
+              ;
 
   // Define Histograms
   auto hEthr  = d1.Histo1D({"hEthr",  "Thrown Energy; Thrown Energy [GeV]; Events",        100,  0.0,    7.5}, "Ethr");
   auto hNhits = d1.Histo1D({"hNhits", "Number of hits per events; Number of hits; Events", 100,  0.0, 2000.0}, "nhits");
   auto hEsim  = d1.Histo1D({"hEsim",  "Energy Deposit; Energy Deposit [GeV]; Events",      100,  0.0,    1.0}, "Esim");
   auto hfsam  = d1.Histo1D({"hfsam",  "Sampling Fraction; Sampling Fraction; Events",      100,  0.0,    0.1}, "fsam");
-  auto hpid   = d1.Histo1D({"hpid",  "PID; PID; Count",      100,  -220,    220}, "pid");
+  auto hpid   = d1.Histo1D({"hpid",   "PID; PID; Count",                                   100,  -220,   220}, "pid");
+  auto hdau   = d1.Histo1D({"hdau",   "Number of Daughters; Number of Daughters; Count",   10,   0,      10},  "dau");
+
+  // Set sampling Fraction, ideally this will be taken from a json file 
+  samp_frac = hfsam -> GetMean();
+
+  auto d2 = d1.Define("dE",     eResol,     {"Esim","Ethr"})
+              .Define("dE_rel", eResol_rel, {"Esim","Ethr"})
+              ;
 
   // Event Counts
   auto nevents_thrown      = d1.Count();
@@ -191,18 +203,28 @@ void emcal_barrel_pions_analysis(const char* input_fname = "sim_output/sim_emcal
   c5->SaveAs("results/emcal_barrel_pions_pid.png");
   c5->SaveAs("results/emcal_barrel_pions_pid.pdf");
 
-  //Energy Resolution Work
-  auto hdE          = d1.Histo1D({"hdE",      "dE; dE[GeV]; Events",              20, -7.5, 7.5}, "dE");//changed from 100
-  auto hdE_rel      = d1.Histo1D({"hdE_rel",  "dE Relative; dE Relative; Events", 20, -2, 2}, "dE_rel");//changed from 100
-  hdE_rel->Fit("gaus", "", "", -2,  2);
-  double* res       = hdE_rel->GetFunction("gaus")->GetParameters();
+  TCanvas *c6 = new TCanvas("c6", "c6", 700, 500);
+  c5->SetLogy(1);
+  hdau->GetYaxis()->SetTitleOffset(1.4);
+  hdau->SetLineWidth(2);
+  hdau->SetLineColor(kBlue);
+  hdau->DrawClone();
+  c6->SaveAs("results/emcal_barrel_pions_dau.png");
+  c6->SaveAs("results/emcal_barrel_pions_dau.pdf");
+
+  //Energy Resolution Calculation
+  auto hdE          = d2.Histo1D({"hdE",      "dE; dE[GeV]; Events",              20, -2.5, 2.5}, "dE");//changed from 100
+  auto hdE_rel      = d2.Histo1D({"hdE_rel",  "dE Relative; dE Relative; Events", 20, -2.5, 2.5}, "dE_rel");//changed from 100
+  hdE->Fit("gaus", "", "", -2.5,  2.5);
+  double* res       = hdE->GetFunction("gaus")->GetParameters();
+  double sigmaOverE = res[2] / thrown_energy;
 
   //Pass/Fail
   
-  if (res[2] <= resolutionTarget) {
-    pi0_energy_resolution.pass(res[2]);
+  if (sigmaOverE <= resolutionTarget) {
+    pi0_energy_resolution.pass(sigmaOverE);
   } else {
-    pi0_energy_resolution.fail(res[2]);
+    pi0_energy_resolution.fail(sigmaOverE);
   }
   //std::printf("Energy Resolution is %f\n", res[2]);
 
@@ -212,6 +234,8 @@ void emcal_barrel_pions_analysis(const char* input_fname = "sim_output/sim_emcal
   hdE->GetYaxis()->SetTitleOffset(1.4);
   hdE->SetLineWidth(2);
   hdE->SetLineColor(kBlue);
+  hdE->GetFunction("gaus")->SetLineWidth(2);
+  hdE->GetFunction("gaus")->SetLineColor(kRed);
   hdE->DrawClone();
   cdE->SaveAs("results/emcal_barrel_pi0_dE.png");
   cdE->SaveAs("results/emcal_barrel_pi0_dE.pdf");
@@ -220,8 +244,6 @@ void emcal_barrel_pions_analysis(const char* input_fname = "sim_output/sim_emcal
   hdE_rel->GetYaxis()->SetTitleOffset(1.4);
   hdE_rel->SetLineWidth(2);
   hdE_rel->SetLineColor(kBlue);
-  hdE_rel->GetFunction("gaus")->SetLineWidth(2);
-  hdE_rel->GetFunction("gaus")->SetLineColor(kRed);
   hdE_rel->DrawClone();
   cdE_rel->SaveAs("results/emcal_barrel_pi0_dE_rel.png");
   cdE_rel->SaveAs("results/emcal_barrel_pi0_dE_rel.pdf");