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Copy pathfreezeout_netQP_fluc.cpp
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freezeout_netQP_fluc.cpp
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#include <iostream>
#include <cmath>
#include <fstream>
#include <cfloat>
#include "Particles.h"
#include "ThermalFunctions.h"
#include "ThermalMinimizer.h"
#include "TROOT.h"
#include "TApplication.h"
#include "TGraph.h"
#include "TGraphErrors.h"
#include "TMultiGraph.h"
#include "TLegend.h"
#include "TCanvas.h"
#include "TPad.h"
#include "TLatex.h"
#include "TAxis.h"
#include "TStyle.h"
using namespace std;
class STAR_netProton_sigma2byM:public ThermalFunction
{
Susceptibility1B *chi1B;
Susceptibility2B *chi2B;
public:
STAR_netProton_sigma2byM()
{
ParticleSystem system;
system.loadDefaultData();
chi1B = new Susceptibility1B {system};
chi1B->setDetectorRapidityCoordinates();
chi1B->setIntegralLimits(0.4,0.8,-0.5,0.5);
chi1B->setDecay(true);
chi2B = new Susceptibility2B {system};
chi2B->setDecay(true);
chi2B->setIntegralLimits(0.4,0.8,-0.5,0.5);
chi2B->setDetectorRapidityCoordinates();
}
~STAR_netProton_sigma2byM()
{
delete chi1B;
delete chi2B;
chi1B = nullptr;
chi2B = nullptr;
}
double getValue(double T, double mub, double muq, double mus)
{
double num = chi2B->getValueEach(23,T,mub,muq,mus)+chi2B->getValueEach(24,T,mub,muq,mus);
double denom = chi1B->getValueEach(23,T,mub,muq,mus)+chi1B->getValueEach(24,T,mub,muq,mus);
return num/denom;
}
};
class STAR_netProton_Ssigma:public ThermalFunction
{
Susceptibility3B *chi3B;
Susceptibility2B *chi2B;
public:
STAR_netProton_Ssigma()
{
ParticleSystem system;
system.loadDefaultData();
chi3B = new Susceptibility3B {system};
chi3B->setDetectorRapidityCoordinates();
chi3B->setIntegralLimits(0.4,0.8,-0.5,0.5);
chi3B->setDecay(true);
chi2B = new Susceptibility2B {system};
chi2B->setDecay(true);
chi2B->setIntegralLimits(0.4,0.8,-0.5,0.5);
chi2B->setDetectorRapidityCoordinates();
}
~STAR_netProton_Ssigma()
{
delete chi3B;
delete chi2B;
chi3B = nullptr;
chi2B = nullptr;
}
double getValue(double T, double mub, double muq, double mus)
{
double denom = chi2B->getValueEach(23,T,mub,muq,mus)+chi2B->getValueEach(24,T,mub,muq,mus);
double num = chi3B->getValueEach(23,T,mub,muq,mus)+chi3B->getValueEach(24,T,mub,muq,mus);
return num/denom;
}
};
class STAR_netProton_ksigma2:public ThermalFunction
{
Susceptibility4B *chi4B;
Susceptibility2B *chi2B;
public:
STAR_netProton_ksigma2()
{
ParticleSystem system;
system.loadDefaultData();
chi4B = new Susceptibility4B {system};
chi4B->setDetectorRapidityCoordinates();
chi4B->setIntegralLimits(0.4,0.8,-0.5,0.5);
chi4B->setDecay(true);
chi2B = new Susceptibility2B {system};
chi2B->setDecay(true);
chi2B->setIntegralLimits(0.4,0.8,-0.5,0.5);
chi2B->setDetectorRapidityCoordinates();
}
~STAR_netProton_ksigma2()
{
delete chi4B;
delete chi2B;
chi4B = nullptr;
chi2B = nullptr;
}
double getValue(double T, double mub, double muq, double mus)
{
double denom = chi2B->getValueEach(23,T,mub,muq,mus)+chi2B->getValueEach(24,T,mub,muq,mus);
double num = chi4B->getValueEach(23,T,mub,muq,mus)+chi4B->getValueEach(24,T,mub,muq,mus);
return num/denom;
}
};
class STAR_netCharge_sigma2byM:public ThermalFunction
{
Susceptibility1Q *chi1Q;
Susceptibility2Q *chi2Q;
public:
STAR_netCharge_sigma2byM()
{
ParticleSystem system;
system.loadDefaultData();
chi1Q = new Susceptibility1Q {system};
chi1Q->setDetectorPseudorapidityCoordinates();
chi1Q->setIntegralLimits(0.2,2,-0.5,0.5);
chi1Q->setDecay(true);
chi2Q = new Susceptibility2Q {system};
chi2Q->setDetectorPseudorapidityCoordinates();
chi2Q->setIntegralLimits(0.2,2,-0.5,0.5);
chi2Q->setDecay(true);
}
~STAR_netCharge_sigma2byM()
{
delete chi1Q;
delete chi2Q;
chi1Q = nullptr;
chi2Q = nullptr;
}
double getValue(double T, double mub, double muq, double mus)
{
double num = chi2Q->getValue(T,mub,muq,mus);
double denom = chi1Q->getValue(T,mub,muq,mus);
return num/denom;
}
};
class STAR_netCharge_Ssigma:public ThermalFunction
{
Susceptibility3Q *chi3Q;
Susceptibility2Q *chi2Q;
public:
STAR_netCharge_Ssigma()
{
ParticleSystem system;
system.loadDefaultData();
chi3Q = new Susceptibility3Q {system};
chi3Q->setDetectorPseudorapidityCoordinates();
chi3Q->setIntegralLimits(0.2,2,-0.5,0.5);
chi3Q->setDecay(true);
chi2Q = new Susceptibility2Q {system};
chi2Q->setDetectorPseudorapidityCoordinates();
chi2Q->setIntegralLimits(0.2,2,-0.5,0.5);
chi2Q->setDecay(true);
}
~STAR_netCharge_Ssigma()
{
delete chi3Q;
delete chi2Q;
chi3Q = nullptr;
chi2Q = nullptr;
}
double getValue(double T, double mub, double muq, double mus)
{
double denom = chi2Q->getValue(T,mub,muq,mus);
double num = chi3Q->getValue(T,mub,muq,mus);
return num/denom;
}
};
class STAR_netCharge_ksigma2:public ThermalFunction
{
Susceptibility4Q *chi4Q;
Susceptibility2Q *chi2Q;
public:
STAR_netCharge_ksigma2()
{
ParticleSystem system;
system.loadDefaultData();
chi4Q = new Susceptibility4Q {system};
chi4Q->setDetectorPseudorapidityCoordinates();
chi4Q->setIntegralLimits(0.2,2,-0.5,0.5);
chi4Q->setDecay(true);
chi2Q = new Susceptibility2Q {system};
chi2Q->setDetectorPseudorapidityCoordinates();
chi2Q->setIntegralLimits(0.2,2,-0.5,0.5);
chi2Q->setDecay(true);
}
~STAR_netCharge_ksigma2()
{
delete chi4Q;
delete chi2Q;
chi4Q = nullptr;
chi2Q = nullptr;
}
double getValue(double T, double mub, double muq, double mus)
{
double denom = chi2Q->getValue(T,mub,muq,mus);
double num = chi4Q->getValue(T,mub,muq,mus);
return num/denom;
}
};
class StrangenessNumberDensity:public ThermalFunction
{
Susceptibility1S *chi1S;
public:
StrangenessNumberDensity()
{
ParticleSystem system;
system.loadDefaultData();
chi1S = new Susceptibility1S {system};
chi1S->setSphericalUniformCoordinates();
chi1S->setIntegralLimits(0,INFINITY);
chi1S->setDecay(true);
}
~StrangenessNumberDensity()
{
delete chi1S;
chi1S = nullptr;
}
double getValue(double T, double mub, double muq, double mus)
{
return chi1S->getValue(T,mub,muq,mus)*T*T*T;
}
};
class ChargeToBaryonRatio:public ThermalFunction
{
public:
Susceptibility1B *chi1B;
Susceptibility1Q *chi1Q;
ChargeToBaryonRatio()
{
ParticleSystem system;
system.loadDefaultData();
chi1B = new Susceptibility1B {system};
chi1B->setSphericalUniformCoordinates();
chi1B->setIntegralLimits(0,INFINITY);
chi1B->setDecay(true);
chi1Q = new Susceptibility1Q {system};
chi1Q->setSphericalUniformCoordinates();
chi1Q->setIntegralLimits(0,INFINITY);
chi1Q->setDecay(true);
}
~ChargeToBaryonRatio()
{
delete chi1B;
delete chi1Q;
chi1B = nullptr;
chi1Q = nullptr;
}
double getValue(double T, double mub, double muq, double mus)
{
double num = chi1Q->getValue(T,mub,muq,mus);
double denom = chi1B->getValue(T,mub,muq,mus);
return num/denom;
}
};
void numericalMinimizationCumulants()
{
int n_expData;
double *snn_exp, *netP_snn_exp, *netQ_snn_exp;
double *netP_sigma2byM_0to5, *netP_sigma2byM_0to5_staterr, *netP_sigma2byM_0to5_syserr;
double *netP_Ssigma_0to5, *netP_Ssigma_0to5_syserr, *netP_Ssigma_0to5_staterr;
double *netP_ksigma2_0to5, *netP_ksigma2_0to5_syserr, *netP_ksigma2_0to5_staterr;
double *netP_sigma2byM_70to80, *netP_sigma2byM_70to80_staterr, *netP_sigma2byM_70to80_syserr;
double *netP_Ssigma_70to80, *netP_Ssigma_70to80_syserr, *netP_Ssigma_70to80_staterr;
double *netP_ksigma2_70to80, *netP_ksigma2_70to80_syserr, *netP_ksigma2_70to80_staterr;
double *netQ_sigma2byM_0to5, *netQ_sigma2byM_0to5_staterr, *netQ_sigma2byM_0to5_syserr;
double *netQ_Ssigma_0to5, *netQ_Ssigma_0to5_syserr, *netQ_Ssigma_0to5_staterr;
double *netQ_ksigma2_0to5, *netQ_ksigma2_0to5_syserr, *netQ_ksigma2_0to5_staterr;
double *netQ_sigma2byM_70to80, *netQ_sigma2byM_70to80_staterr, *netQ_sigma2byM_70to80_syserr;
double *netQ_Ssigma_70to80, *netQ_Ssigma_70to80_syserr, *netQ_Ssigma_70to80_staterr;
double *netQ_ksigma2_70to80, *netQ_ksigma2_70to80_syserr, *netQ_ksigma2_70to80_staterr;
int l, l1, l2;
ifstream inFileNetP;
ifstream inFileNetQ;
inFileNetP.open("data/cumulantRatios_netP_fit.dat");
inFileNetQ.open("data/momentRatios_netQ_fit.dat");
if (inFileNetP && inFileNetQ)
{
inFileNetP >> l1;
inFileNetQ >> l2;
if (l1 != l2)
{
cout << "Data size mismatch...\n";
}
n_expData = min(l1,l2);
l = n_expData;
snn_exp = new double[l]; netP_snn_exp = new double[l]; netQ_snn_exp = new double[l];
netP_sigma2byM_0to5 = new double[l]; netP_sigma2byM_0to5_syserr = new double[l]; netP_sigma2byM_0to5_staterr = new double[l];
netP_Ssigma_0to5 = new double[l]; netP_Ssigma_0to5_syserr = new double[l]; netP_Ssigma_0to5_staterr = new double[l];
netP_ksigma2_0to5 = new double[l]; netP_ksigma2_0to5_syserr = new double[l]; netP_ksigma2_0to5_staterr = new double[l];
netP_sigma2byM_70to80 = new double[l]; netP_sigma2byM_70to80_syserr = new double[l]; netP_sigma2byM_70to80_staterr = new double[l];
netP_Ssigma_70to80 = new double[l]; netP_Ssigma_70to80_syserr = new double[l]; netP_Ssigma_70to80_staterr = new double[l];
netP_ksigma2_70to80 = new double[l]; netP_ksigma2_70to80_syserr = new double[l]; netP_ksigma2_70to80_staterr = new double[l];
netQ_sigma2byM_0to5 = new double[l]; netQ_sigma2byM_0to5_syserr = new double[l]; netQ_sigma2byM_0to5_staterr = new double[l];
netQ_Ssigma_0to5 = new double[l]; netQ_Ssigma_0to5_syserr = new double[l]; netQ_Ssigma_0to5_staterr = new double[l];
netQ_ksigma2_0to5 = new double[l]; netQ_ksigma2_0to5_syserr = new double[l]; netQ_ksigma2_0to5_staterr = new double[l];
netQ_sigma2byM_70to80 = new double[l]; netQ_sigma2byM_70to80_syserr = new double[l]; netQ_sigma2byM_70to80_staterr = new double[l];
netQ_Ssigma_70to80 = new double[l]; netQ_Ssigma_70to80_syserr = new double[l]; netQ_Ssigma_70to80_staterr = new double[l];
netQ_ksigma2_70to80 = new double[l]; netQ_ksigma2_70to80_syserr = new double[l]; netQ_ksigma2_70to80_staterr = new double[l];
for (int i = 0; i < l; ++i)
{
inFileNetP >> netP_snn_exp[i] >> netP_sigma2byM_0to5[i] >> netP_sigma2byM_0to5_staterr[i] >> netP_sigma2byM_0to5_syserr[i]
>> netP_Ssigma_0to5[i] >> netP_Ssigma_0to5_staterr[i] >> netP_Ssigma_0to5_syserr[i]
>> netP_ksigma2_0to5[i] >> netP_ksigma2_0to5_staterr[i] >> netP_ksigma2_0to5_syserr[i]
>> netP_sigma2byM_70to80[i] >> netP_sigma2byM_70to80_staterr[i] >> netP_sigma2byM_70to80_syserr[i]
>> netP_Ssigma_70to80[i] >> netP_Ssigma_70to80_staterr[i] >> netP_Ssigma_70to80_syserr[i]
>> netP_ksigma2_70to80[i] >> netP_ksigma2_70to80_staterr[i] >> netP_ksigma2_70to80_syserr[i];
inFileNetQ >> netQ_snn_exp[i] >> netQ_sigma2byM_0to5[i] >> netQ_sigma2byM_0to5_staterr[i] >> netQ_sigma2byM_0to5_syserr[i]
>> netQ_Ssigma_0to5[i] >> netQ_Ssigma_0to5_staterr[i] >> netQ_Ssigma_0to5_syserr[i]
>> netQ_ksigma2_0to5[i] >> netQ_ksigma2_0to5_staterr[i] >> netQ_ksigma2_0to5_syserr[i]
>> netQ_sigma2byM_70to80[i] >> netQ_sigma2byM_70to80_staterr[i] >> netQ_sigma2byM_70to80_syserr[i]
>> netQ_Ssigma_70to80[i] >> netQ_Ssigma_70to80_staterr[i] >> netQ_Ssigma_70to80_syserr[i]
>> netQ_ksigma2_70to80[i] >> netQ_ksigma2_70to80_staterr[i] >> netQ_ksigma2_70to80_syserr[i];
if (netP_snn_exp[i] != netQ_snn_exp[i])
{
cout << "Energy value mismatch at line " << i+2 << '\n';
}
snn_exp[i] = (netP_snn_exp[i]+netQ_snn_exp[i])/2.0;
}
}
else{
cout << "Unable to load cumulant/moment ratios...\n";
n_expData = 0;
}
inFileNetP.close();
inFileNetQ.close();
double E_l = 5;
double E_u = 250;
int intvl = 100;
double dE = pow(E_u/E_l,1.0/(intvl-1));
double x;
double T, mub, muq, mus;
double snn[intvl];
double netP_sigma2byM_hrg[intvl], netP_Ssigma_hrg[intvl], netP_ksigma2_hrg[intvl];
double netQ_sigma2byM_hrg[intvl], netQ_Ssigma_hrg[intvl], netQ_ksigma2_hrg[intvl];
STAR_netProton_sigma2byM netP_sig2byM;
STAR_netProton_Ssigma netP_Ssigma;
STAR_netProton_ksigma2 netP_ksigma2;
STAR_netCharge_sigma2byM netQ_sig2byM;
STAR_netCharge_Ssigma netQ_Ssigma;
STAR_netCharge_ksigma2 netQ_ksigma2;
for (int i = 0; i < intvl; ++i)
{
x = E_l*pow(dE,i);
snn[i] = x;
mub = 1.308/(1+0.273*x);
muq = -0.0202/(1+0.126*x);
mus = 0.214/(1+0.184*x);
T = 0.166-0.139*mub*mub-0.053*pow(mub,4);
netP_sigma2byM_hrg[i] = netP_sig2byM.getValue(T,mub,muq,mus);
netP_Ssigma_hrg[i] = netP_Ssigma.getValue(T,mub,muq,mus);
netP_ksigma2_hrg[i] = netP_ksigma2.getValue(T,mub,muq,mus);
netQ_sigma2byM_hrg[i] = netQ_sig2byM.getValue(T,mub,muq,mus);
netQ_Ssigma_hrg[i] = netQ_Ssigma.getValue(T,mub,muq,mus);
netQ_ksigma2_hrg[i] = netQ_ksigma2.getValue(T,mub,muq,mus);
}
StrangenessNumberDensity nS;
ChargeToBaryonRatio nQ_by_nB;
double *minPar, *minPar_err;
double T_ch[n_expData];
double mub_ch[n_expData];
double muq_ch[n_expData];
double mus_ch[n_expData];
double T_ch_err[n_expData];
double mub_ch_err[n_expData];
double muq_ch_err[n_expData];
double mus_ch_err[n_expData];
double netP_sigma2byM_fit[n_expData], netP_Ssigma_fit[n_expData], netP_ksigma2_fit[n_expData];
double netQ_sigma2byM_fit[n_expData], netQ_Ssigma_fit[n_expData], netQ_ksigma2_fit[n_expData];
cout << "-----------------------------------------------------------------" << '\n';
cout << " Determination of chemical freezout parameters using " << '\n';
cout << " net-proton and net-charge fluctuations " << '\n';
cout << "-----------------------------------------------------------------" << '\n';
ThermalMinimizer minimum {4};
minimum.SetThermalFunctionEach(0,&netP_sig2byM);
minimum.SetThermalFunctionEach(1,&netQ_sig2byM);
minimum.SetThermalFunctionEach(2,&nS);
minimum.SetThermalFunctionEach(3,&nQ_by_nB);
ofstream outFileFreeze;
outFileFreeze.open("data/freezeout_netProtonCharge_fluc.dat");
bool writeToFile = false;
if (outFileFreeze)
{
outFileFreeze << n_expData << '\t' << 9 << '\n';
writeToFile = true;
}
double err;
for (int i = 0; i < n_expData; ++i)
{
x = snn_exp[i];
cout << " sqrt(snn) = " << x << " GeV" << '\n';
mub = 1.308/(1+0.273*x);
muq = -0.0202/(1+0.126*x);
mus = 0.214/(1+0.184*x);
T = 0.166-0.139*mub*mub-0.053*pow(mub,4);
err = sqrt(pow(netP_sigma2byM_0to5_staterr[i],2)+pow(netP_sigma2byM_0to5_syserr[i],2));
minimum.SetFunctionValueEach(0,netP_sigma2byM_0to5[i],err);
err = sqrt(pow(netQ_sigma2byM_0to5_staterr[i],2)+pow(netQ_sigma2byM_0to5_syserr[i],2));
minimum.SetFunctionValueEach(1,netQ_sigma2byM_0to5[i],err);
minimum.SetFunctionValueEach(2,0,1e-3);
minimum.SetFunctionValueEach(3,0.4,1e-3);
minimum.setInitialParameters(T,mub,muq,mus);
minimum.minimize(1000);
minPar = minimum.getMinimizedParameters();
minPar_err = minimum.getMinimizedParameterErrors();
T_ch[i] = minPar[0]; mub_ch[i] = minPar[1]; muq_ch[i] = minPar[2]; mus_ch[i] = minPar[3];
T_ch_err[i] = minPar_err[0]; mub_ch_err[i] = minPar_err[1]; muq_ch_err[i] = minPar_err[2]; mus_ch_err[i] = minPar_err[3];
if (writeToFile)
{
outFileFreeze << x << '\t' << minPar[0] << '\t' << minPar_err[0] << '\t' << minPar[1] << '\t' << minPar_err[1]
<< '\t' << minPar[2] << '\t' << minPar_err[2] << '\t' << minPar[3] << '\t' << minPar_err[3] << '\n';
}
netP_sigma2byM_fit[i] = netP_sig2byM.getValue(minPar[0],minPar[1],minPar[2],minPar[3]);
netP_Ssigma_fit[i] = netP_Ssigma.getValue(minPar[0],minPar[1],minPar[2],minPar[3]);
netP_ksigma2_fit[i] = netP_ksigma2.getValue(minPar[0],minPar[1],minPar[2],minPar[3]);
netQ_sigma2byM_fit[i] = netQ_sig2byM.getValue(minPar[0],minPar[1],minPar[2],minPar[3]);
netQ_Ssigma_fit[i] = netQ_Ssigma.getValue(minPar[0],minPar[1],minPar[2],minPar[3]);
netQ_ksigma2_fit[i] = netQ_ksigma2.getValue(minPar[0],minPar[1],minPar[2],minPar[3]);
}
if (writeToFile)
{
outFileFreeze << "\n\\\\ sqrt(snn)\tT_ch\tT_ch_err\tmub_ch\tmub_ch_err\tmuq_ch\tmuq_ch_err\tmus_ch\tmus_ch_err\n" ;
cout << "Freezout parameters saved to data/freezeout_netProtonCharge_fluc.dat..." << '\n';
outFileFreeze.close();
}
double topMargin = 0.01;
double bottomMargin = 0.05;
double rightMargin = 0.02;
double leftMargin = 0.1;
double textSize = 0.02;
double markerSize = 2;
double lineWidth = 3;
double transparency = 0.75;
TCanvas *cl1 = new TCanvas("cl_netP_fluc","netP_fluc",400,700);
gStyle->SetEndErrorSize(10);
double ySizeEach = (1 - topMargin - bottomMargin)/3;
TPad *p11 = new TPad("p11", "p11",0,2*ySizeEach+bottomMargin,1,1);
p11->SetLogx();
p11->SetTickx();
p11->SetBottomMargin(0);
p11->SetTopMargin(topMargin/p11->GetHNDC());
p11->SetRightMargin(rightMargin);
p11->Draw();
TPad *p12 = new TPad("p12", "p12",0,ySizeEach+bottomMargin,1,2*ySizeEach+bottomMargin);
p12->SetLogx();
p12->SetTickx();
p12->SetTopMargin(0);
p12->SetBottomMargin(0);
p12->SetRightMargin(rightMargin);
p12->Draw();
TPad *p13 = new TPad("p13", "p13",0,0,1,ySizeEach+bottomMargin);
p13->SetLogx();
p13->SetTickx();
p13->SetTopMargin(0);
p13->SetRightMargin(rightMargin);
p13->SetBottomMargin(bottomMargin/p13->GetHNDC());
p13->Draw();
p11->cd();
auto *gr111 = new TGraph(intvl,snn,netP_sigma2byM_hrg);
gr111->SetLineStyle(1);
gr111->SetLineColorAlpha(kGreen+2,transparency);
gr111->SetLineWidth(lineWidth);
auto *gr112 = new TGraphErrors(n_expData,snn_exp,netP_sigma2byM_0to5,(double*)0,netP_sigma2byM_0to5_staterr);
gr112->SetMarkerSize(markerSize);
gr112->SetMarkerColorAlpha(kOrange-3,transparency);
gr112->SetLineColorAlpha(kOrange-3,transparency);
gr112->SetLineWidth(lineWidth);
gr112->SetMarkerStyle(kFullCircle);
auto *gr113 = new TGraphErrors(n_expData,snn_exp,netP_sigma2byM_0to5,(double*)0,netP_sigma2byM_0to5_syserr);
gr113->SetLineWidth(lineWidth);
gr113->SetLineColorAlpha(kOrange-3,transparency);
auto *gr114 = new TGraphErrors(n_expData,snn_exp,netP_sigma2byM_70to80,(double*)0,netP_sigma2byM_70to80_staterr);
gr114->SetMarkerSize(markerSize);
gr114->SetMarkerColorAlpha(kViolet-1,transparency);
gr114->SetLineColorAlpha(kViolet-1,transparency);
gr114->SetLineWidth(lineWidth);
gr114->SetMarkerStyle(kFullSquare);
auto *gr115 = new TGraphErrors(n_expData,snn_exp,netP_sigma2byM_70to80,(double*)0,netP_sigma2byM_70to80_syserr);
gr115->SetLineWidth(lineWidth);
gr115->SetLineColorAlpha(kViolet-1,transparency);
auto *gr116 = new TGraph(n_expData,snn_exp,netP_sigma2byM_fit);
gr116->SetMarkerSize(markerSize);
gr116->SetMarkerColorAlpha(kBlue,transparency);
gr116->SetMarkerStyle(kFullTriangleUp);
TMultiGraph *mg11 = new TMultiGraph();
mg11->Add(gr111,"l");
mg11->Add(gr112,"pz");
mg11->Add(gr113,"||");
mg11->Add(gr114,"pz");
mg11->Add(gr115,"||");
mg11->Add(gr116,"p");
// mg11->GetXaxis()->SetTitle("#sqrt{s_{NN}} (GeV)");
mg11->GetYaxis()->SetTitle("#sigma^{2}/M");
// mg11->GetXaxis()->SetRangeUser(2,250);
mg11->GetYaxis()->SetRangeUser(0.15,9.25);
mg11->GetYaxis()->SetNdivisions(6, 2, 0, kTRUE);
mg11->GetXaxis()->CenterTitle(true);
mg11->GetYaxis()->CenterTitle(true);
mg11->GetXaxis()->SetNoExponent();
mg11->GetXaxis()->SetLabelSize(textSize/p11->GetHNDC());
mg11->GetXaxis()->SetTitleSize(textSize/p11->GetHNDC());
mg11->GetXaxis()->SetTitleOffset(0.75);
mg11->GetYaxis()->SetLabelSize(textSize/p11->GetHNDC());
mg11->GetYaxis()->SetTitleSize(textSize/p11->GetHNDC());
mg11->GetYaxis()->SetTickLength(0.02);
mg11->GetYaxis()->SetTitleOffset(0.65);
mg11->Draw("a");
TLatex *text11 = new TLatex(0.4,0.75,"#splitline{net-proton results}{and calculations}");
text11->SetNDC();
text11->SetTextSize(textSize/p11->GetHNDC());
text11->Draw();
p12->cd();
auto *gr121 = new TGraphErrors(n_expData,snn_exp,netP_Ssigma_0to5,(double*)0,netP_Ssigma_0to5_staterr);
gr121->SetMarkerSize(markerSize);
gr121->SetMarkerColorAlpha(kOrange-3,transparency);
gr121->SetLineColorAlpha(kOrange-3,transparency);
gr121->SetLineWidth(lineWidth);
gr121->SetMarkerStyle(kFullCircle);
auto *gr122 = new TGraphErrors(n_expData,snn_exp,netP_Ssigma_0to5,(double*)0,netP_Ssigma_0to5_syserr);
gr122->SetLineWidth(lineWidth);
gr122->SetLineColorAlpha(kOrange-3,transparency);
auto *gr123 = new TGraphErrors(n_expData,snn_exp,netP_Ssigma_70to80,(double*)0,netP_Ssigma_70to80_staterr);
gr123->SetMarkerSize(markerSize);
gr123->SetMarkerColorAlpha(kViolet-1,transparency);
gr123->SetLineColorAlpha(kViolet-1,transparency);
gr123->SetLineWidth(lineWidth);
gr123->SetMarkerStyle(kFullSquare);
auto *gr124 = new TGraphErrors(n_expData,snn_exp,netP_Ssigma_70to80,(double*)0,netP_Ssigma_70to80_syserr);
gr124->SetLineWidth(lineWidth);
gr124->SetLineColorAlpha(kViolet-1,transparency);
auto *gr125 = new TGraph(intvl,snn,netP_Ssigma_hrg);
gr125->SetLineStyle(1);
gr125->SetLineColorAlpha(kGreen+2,transparency);
gr125->SetLineWidth(lineWidth);
auto *gr126 = new TGraph(n_expData,snn_exp,netP_Ssigma_fit);
gr126->SetMarkerSize(markerSize);
gr126->SetMarkerColorAlpha(kBlue,transparency);
gr126->SetMarkerStyle(kFullTriangleUp);
TMultiGraph *mg12 = new TMultiGraph();
mg12->Add(gr121,"pz");
mg12->Add(gr122,"||");
mg12->Add(gr123,"pz");
mg12->Add(gr124,"||");
mg12->Add(gr125,"l");
mg12->Add(gr126,"p");
// mg12->GetXaxis()->SetTitle("#sqrt{s_{NN}} (GeV)");
mg12->GetYaxis()->SetTitle("S#sigma");
// mg12->GetXaxis()->SetLimits(5,250);
mg12->GetYaxis()->SetRangeUser(-0.05,1.05);
mg12->GetYaxis()->SetNdivisions(6, 2, 0, kTRUE);
mg12->GetXaxis()->CenterTitle(true);
mg12->GetYaxis()->CenterTitle(true);
mg12->GetXaxis()->SetNoExponent();
mg12->GetXaxis()->SetLabelSize(textSize/p12->GetHNDC());
mg12->GetXaxis()->SetTitleSize(textSize/p12->GetHNDC());
mg12->GetXaxis()->SetTitleOffset(0.75);
mg12->GetYaxis()->SetLabelSize(textSize/p12->GetHNDC());
mg12->GetYaxis()->SetTitleSize(textSize/p12->GetHNDC());
mg12->GetYaxis()->SetTickLength(0.02);
mg12->GetYaxis()->SetTitleOffset(0.65);
mg12->Draw("a");
TLatex *latex1 = new TLatex(0.6,0.75,"#splitline{0.4 < p_{T} < 0.8 (GeV/c)}{#left|y#right| #leq 0.5}");
latex1->SetNDC();
latex1->SetTextSize(textSize/p12->GetHNDC());
latex1->Draw();
TLegend *legend1 = new TLegend(0.12,0.01,0.4,0.35);
legend1->AddEntry(gr112,"STAR Au-Au 0 - 5%","p");
legend1->AddEntry(gr114,"STAR Au-Au 70 - 80%","p");
legend1->AddEntry(gr111,"HRG + decay + cuts","l");
legend1->AddEntry(gr116,"HRG + decay + cuts (fit)","p");
legend1->SetTextSize(textSize/p12->GetHNDC());
legend1->SetBorderSize(0);
legend1->SetFillStyle(0);
legend1->Draw();
p13->cd();
auto *gr131 = new TGraphErrors(n_expData,snn_exp,netP_ksigma2_0to5,(double*)0,netP_ksigma2_0to5_staterr);
gr131->SetMarkerSize(markerSize);
gr131->SetMarkerColorAlpha(kOrange-3,transparency);
gr131->SetLineColorAlpha(kOrange-3,transparency);
gr131->SetLineWidth(lineWidth);
gr131->SetMarkerStyle(kFullCircle);
auto *gr132 = new TGraphErrors(n_expData,snn_exp,netP_ksigma2_0to5,(double*)0,netP_ksigma2_0to5_syserr);
gr132->SetLineWidth(lineWidth);
gr132->SetLineColorAlpha(kOrange-3,transparency);
auto *gr133 = new TGraphErrors(n_expData,snn_exp,netP_ksigma2_70to80,(double*)0,netP_ksigma2_70to80_staterr);
gr133->SetMarkerSize(markerSize);
gr133->SetMarkerColorAlpha(kViolet-1,transparency);
gr133->SetLineColorAlpha(kViolet-1,transparency);
gr133->SetLineWidth(lineWidth);
gr133->SetMarkerStyle(kFullSquare);
auto *gr134 = new TGraphErrors(n_expData,snn_exp,netP_ksigma2_70to80,(double*)0,netP_ksigma2_70to80_syserr);
gr134->SetLineWidth(lineWidth);
gr134->SetLineColorAlpha(kViolet-1,transparency);
auto *gr135 = new TGraph(intvl,snn,netP_ksigma2_hrg);
gr135->SetLineStyle(1);
gr135->SetLineColorAlpha(kGreen+2,transparency);
gr135->SetLineWidth(lineWidth);
auto *gr136 = new TGraph(n_expData,snn_exp,netP_ksigma2_fit);
gr136->SetMarkerSize(markerSize);
gr136->SetMarkerColorAlpha(kBlue,transparency);
gr136->SetMarkerStyle(kFullTriangleUp);
TMultiGraph *mg13 = new TMultiGraph();
mg13->Add(gr131,"pz");
mg13->Add(gr132,"||");
mg13->Add(gr133,"pz");
mg13->Add(gr134,"||");
mg13->Add(gr135,"l");
mg13->Add(gr136,"p");
mg13->GetXaxis()->SetTitle("#sqrt{s_{NN}} (GeV)");
mg13->GetYaxis()->SetTitle("k#sigma^{2}");
mg13->GetYaxis()->SetRangeUser(0.37,1.17);
mg13->GetYaxis()->SetNdivisions(6, 2, 0, kTRUE);
mg13->GetXaxis()->CenterTitle(true);
mg13->GetYaxis()->CenterTitle(true);
mg13->GetXaxis()->SetNoExponent();
mg13->GetXaxis()->SetLabelSize(textSize/p13->GetHNDC());
mg13->GetXaxis()->SetTitleSize(textSize/p13->GetHNDC());
mg13->GetXaxis()->SetTitleOffset(0.80);
mg13->GetYaxis()->SetLabelSize(textSize/p13->GetHNDC());
mg13->GetYaxis()->SetTitleSize(textSize/p13->GetHNDC());
mg13->GetYaxis()->SetTickLength(0.02);
mg13->GetYaxis()->SetTitleOffset(0.65);
mg13->Draw("a");
TText *text12 = new TText(0.2,0.9,"STAR Collab., PRL 112, 032302 (2014)");
text12->SetNDC();
text12->SetTextSize(textSize/p13->GetHNDC());
text12->Draw();
cl1->SaveAs("plots/netP_fluc.pdf");
TCanvas *cl2 = new TCanvas("cl_netQ_fluc","netQ_fluc",400,700);
gStyle->SetOptStat(0);
gStyle->SetOptTitle(0);
gStyle->SetEndErrorSize(10);
ySizeEach = (1 - topMargin - bottomMargin)/3;
TPad *p21 = new TPad("p21", "p21",0,2*ySizeEach+bottomMargin,1,1);
p21->SetLogx();
p21->SetTickx();
p21->SetBottomMargin(0);
p21->SetTopMargin(topMargin/p21->GetHNDC());
p21->SetRightMargin(rightMargin);
p21->Draw();
TPad *p22 = new TPad("p22", "p22",0,ySizeEach+bottomMargin,1,2*ySizeEach+bottomMargin);
p22->SetLogx();
p22->SetTickx();
p22->SetTopMargin(0);
p22->SetBottomMargin(0);
p22->SetRightMargin(rightMargin);
p22->Draw();
TPad *p23 = new TPad("p23", "p23",0,0,1,ySizeEach+bottomMargin);
p23->SetLogx();
p23->SetTickx();
p23->SetTopMargin(0);
p23->SetRightMargin(rightMargin);
p23->SetBottomMargin(bottomMargin/p23->GetHNDC());
p23->Draw();
p21->cd();
auto *gr211 = new TGraph(intvl,snn,netQ_sigma2byM_hrg);
gr211->SetLineStyle(1);
gr211->SetLineColorAlpha(kGreen+2,transparency);
gr211->SetLineWidth(lineWidth);
auto *gr212 = new TGraphErrors(n_expData,snn_exp,netQ_sigma2byM_0to5,(double*)0,netQ_sigma2byM_0to5_staterr);
gr212->SetMarkerSize(markerSize);
gr212->SetMarkerColorAlpha(kOrange-3,transparency);
gr212->SetLineColorAlpha(kOrange-3,transparency);
gr212->SetLineWidth(lineWidth);
gr212->SetMarkerStyle(kFullCircle);
auto *gr213 = new TGraphErrors(n_expData,snn_exp,netQ_sigma2byM_0to5,(double*)0,netQ_sigma2byM_0to5_syserr);
gr213->SetLineWidth(lineWidth);
gr213->SetLineColorAlpha(kOrange-3,transparency);
auto *gr214 = new TGraphErrors(n_expData,snn_exp,netQ_sigma2byM_70to80,(double*)0,netQ_sigma2byM_70to80_staterr);
gr214->SetMarkerSize(markerSize);
gr214->SetMarkerColorAlpha(kViolet-1,transparency);
gr214->SetLineColorAlpha(kViolet-1,transparency);
gr214->SetLineWidth(lineWidth);
gr214->SetMarkerStyle(kFullSquare);
auto *gr215 = new TGraphErrors(n_expData,snn_exp,netQ_sigma2byM_70to80,(double*)0,netQ_sigma2byM_70to80_syserr);
gr215->SetLineWidth(lineWidth);
gr215->SetLineColorAlpha(kViolet-1,transparency);
auto *gr216 = new TGraph(n_expData,snn_exp,netQ_sigma2byM_fit);
gr216->SetMarkerSize(markerSize);
gr216->SetMarkerColorAlpha(kBlue,transparency);
gr216->SetMarkerStyle(kFullTriangleUp);
TMultiGraph *mg21 = new TMultiGraph();
mg21->Add(gr211,"l");
mg21->Add(gr212,"pz");
mg21->Add(gr213,"||");
mg21->Add(gr214,"pz");
mg21->Add(gr215,"||");
mg21->Add(gr216,"p");
// mg21->GetXaxis()->SetTitle("#sqrt{s_{NN}} (GeV)");
mg21->GetYaxis()->SetTitle("#sigma^{2}/M");
// mg21->GetXaxis()->SetRangeUser(2,250);
mg21->GetYaxis()->SetRangeUser(-7.5,112.5);
mg21->GetYaxis()->SetNdivisions(6, 2, 0, kTRUE);
mg21->GetXaxis()->CenterTitle(true);
mg21->GetYaxis()->CenterTitle(true);
mg21->GetXaxis()->SetNoExponent();
mg21->GetXaxis()->SetLabelSize(textSize/p21->GetHNDC());
mg21->GetXaxis()->SetTitleSize(textSize/p21->GetHNDC());
mg21->GetXaxis()->SetTitleOffset(0.75);
mg21->GetYaxis()->SetLabelSize(textSize/p21->GetHNDC());
mg21->GetYaxis()->SetTitleSize(textSize/p21->GetHNDC());
mg21->GetYaxis()->SetTickLength(0.02);
mg21->GetYaxis()->SetTitleOffset(0.65);
mg21->Draw("a");
TLatex *text221 = new TLatex(0.4,0.75,"#splitline{net-charge results}{and calculations}");
text221->SetNDC();
text221->SetTextSize(textSize/p21->GetHNDC());
text221->Draw();
p22->cd();
auto *gr221 = new TGraphErrors(n_expData,snn_exp,netQ_Ssigma_0to5,(double*)0,netQ_Ssigma_0to5_staterr);
gr221->SetMarkerSize(markerSize);
gr221->SetMarkerColorAlpha(kOrange-3,transparency);
gr221->SetLineColorAlpha(kOrange-3,transparency);
gr221->SetLineWidth(lineWidth);
gr221->SetMarkerStyle(kFullCircle);
auto *gr222 = new TGraphErrors(n_expData,snn_exp,netQ_Ssigma_0to5,(double*)0,netQ_Ssigma_0to5_syserr);
gr222->SetLineWidth(lineWidth);
gr222->SetLineColorAlpha(kOrange-3,transparency);
auto *gr223 = new TGraphErrors(n_expData,snn_exp,netQ_Ssigma_70to80,(double*)0,netQ_Ssigma_70to80_staterr);
gr223->SetMarkerSize(markerSize);
gr223->SetMarkerColorAlpha(kViolet-1,transparency);
gr223->SetLineColorAlpha(kViolet-1,transparency);
gr223->SetLineWidth(lineWidth);
gr223->SetMarkerStyle(kFullSquare);
auto *gr224 = new TGraphErrors(n_expData,snn_exp,netQ_Ssigma_70to80,(double*)0,netQ_Ssigma_70to80_syserr);
gr224->SetLineWidth(lineWidth);
gr224->SetLineColorAlpha(kViolet-1,transparency);
auto *gr225 = new TGraph(intvl,snn,netQ_Ssigma_hrg);
gr225->SetLineStyle(1);
gr225->SetLineColorAlpha(kGreen+2,transparency);
gr225->SetLineWidth(lineWidth);
auto *gr226 = new TGraph(n_expData,snn_exp,netQ_Ssigma_fit);
gr226->SetMarkerSize(markerSize);
gr226->SetMarkerColorAlpha(kBlue,transparency);
gr226->SetMarkerStyle(kFullTriangleUp);
TMultiGraph *mg22 = new TMultiGraph();
mg22->Add(gr221,"pz");
mg22->Add(gr222,"||");
mg22->Add(gr223,"pz");
mg22->Add(gr224,"||");
mg22->Add(gr225,"l");
mg22->Add(gr226,"p");
// mg22->GetXaxis()->SetTitle("#sqrt{s_{NN}} (GeV)");
mg22->GetYaxis()->SetTitle("S#sigma");
// mg22->GetXaxis()->SetLimits(5,250);
mg22->GetYaxis()->SetRangeUser(-0.095,0.75);
mg22->GetYaxis()->SetNdivisions(6, 2, 0, kTRUE);
mg22->GetXaxis()->CenterTitle(true);
mg22->GetYaxis()->CenterTitle(true);
mg22->GetXaxis()->SetNoExponent();
mg22->GetXaxis()->SetLabelSize(textSize/p22->GetHNDC());
mg22->GetXaxis()->SetTitleSize(textSize/p22->GetHNDC());
mg22->GetXaxis()->SetTitleOffset(0.75);
mg22->GetYaxis()->SetLabelSize(textSize/p22->GetHNDC());
mg22->GetYaxis()->SetTitleSize(textSize/p22->GetHNDC());
mg22->GetYaxis()->SetTickLength(0.02);
mg22->GetYaxis()->SetTitleOffset(0.65);
mg22->Draw("a");
TLegend *legend2 = new TLegend(0.5,0.6,0.85,0.85);
legend2->AddEntry(gr212,"STAR Au-Au 0 - 5%","p");
legend2->AddEntry(gr214,"STAR Au-Au 70 - 80%","p");
legend2->AddEntry(gr211,"HRG + decay + cuts","l");
legend2->AddEntry(gr216,"HRG + decay + cuts (fit)","p");
legend2->SetTextSize(textSize/p22->GetHNDC());
legend2->SetBorderSize(0);
legend2->SetFillStyle(0);
legend2->Draw();
p23->cd();
auto *gr231 = new TGraphErrors(n_expData,snn_exp,netQ_ksigma2_0to5,(double*)0,netQ_ksigma2_0to5_staterr);
gr231->SetMarkerSize(markerSize);
gr231->SetMarkerColorAlpha(kOrange-3,transparency);
gr231->SetLineColorAlpha(kOrange-3,transparency);
gr231->SetLineWidth(lineWidth);
gr231->SetMarkerStyle(kFullCircle);
auto *gr232 = new TGraphErrors(n_expData,snn_exp,netQ_ksigma2_0to5,(double*)0,netQ_ksigma2_0to5_syserr);
gr232->SetLineWidth(lineWidth);
gr232->SetLineColorAlpha(kOrange-3,transparency);
auto *gr233 = new TGraphErrors(n_expData,snn_exp,netQ_ksigma2_70to80,(double*)0,netQ_ksigma2_70to80_staterr);
gr233->SetMarkerSize(markerSize);
gr233->SetMarkerColorAlpha(kViolet-1,transparency);
gr233->SetLineColorAlpha(kViolet-1,transparency);
gr233->SetLineWidth(lineWidth);
gr233->SetMarkerStyle(kFullSquare);
auto *gr234 = new TGraphErrors(n_expData,snn_exp,netQ_ksigma2_70to80,(double*)0,netQ_ksigma2_70to80_syserr);
gr234->SetLineWidth(lineWidth);
gr234->SetLineColorAlpha(kViolet-1,transparency);
auto *gr235 = new TGraph(intvl,snn,netQ_ksigma2_hrg);
gr235->SetLineStyle(1);
gr235->SetLineColorAlpha(kGreen+2,transparency);
gr235->SetLineWidth(lineWidth);
auto *gr236 = new TGraph(n_expData,snn_exp,netQ_ksigma2_fit);
gr236->SetMarkerSize(markerSize);
gr236->SetMarkerColorAlpha(kBlue,transparency);
gr236->SetMarkerStyle(kFullTriangleUp);
TMultiGraph *mg23 = new TMultiGraph();
mg23->Add(gr231,"pz");
mg23->Add(gr232,"||");
mg23->Add(gr233,"pz");
mg23->Add(gr234,"||");
mg23->Add(gr235,"l");
mg23->Add(gr236,"p");
mg23->GetXaxis()->SetTitle("#sqrt{s_{NN}} (GeV)");
mg23->GetYaxis()->SetTitle("k#sigma^{2}");
mg23->GetYaxis()->SetRangeUser(-19.5,12.5);
mg23->GetYaxis()->SetNdivisions(6, 2, 0, kTRUE);
mg23->GetXaxis()->CenterTitle(true);
mg23->GetYaxis()->CenterTitle(true);
mg23->GetXaxis()->SetNoExponent();
mg23->GetXaxis()->SetLabelSize(textSize/p23->GetHNDC());
mg23->GetXaxis()->SetTitleSize(textSize/p23->GetHNDC());
mg23->GetXaxis()->SetTitleOffset(0.75);
mg23->GetYaxis()->SetLabelSize(textSize/p23->GetHNDC());
mg23->GetYaxis()->SetTitleSize(textSize/p23->GetHNDC());
mg23->GetYaxis()->SetTickLength(0.02);
mg23->GetYaxis()->SetTitleOffset(0.65);
mg23->Draw("a");
TLatex *latex2 = new TLatex(0.5,0.35,"#splitline{0.2 < p_{T} < 2.0 (GeV/c)}{#left|#eta#right| #leq 0.5}");
latex2->SetNDC();
latex2->SetTextSize(textSize/p22->GetHNDC());
latex2->Draw();