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[PWGLF] Lambda local polarization induced by jet in pp collision 13.6 TeV #10357

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ercolessi merged 1 commit into from
Mar 7, 2025
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[PWGLF] Lambda local polarization induced by jet in pp collision 13.6 TeV #10357

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58 changes: 41 additions & 17 deletions PWGLF/Tasks/Strangeness/lambdaJetpolarization.cxx
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Original file line number Diff line number Diff line change
Expand Up @@ -45,6 +45,7 @@ struct LfMyV0s {
const AxisSpec axisPz{100, -10, 10, "#pz (GeV/c)"};
const AxisSpec axisPT{200, 0, 50, "#p_{T} (GeV/c)"};
const AxisSpec axisPhi{100, -3.14, 3.14, "#Phi"};
const AxisSpec axisMass{100, 0, 2, "Mass(GeV/c^{2})"};

registry.add("hMassLambda", "hMassLambda", {HistType::kTH1F, {{200, 0.9f, 1.2f}}});
registry.add("V0pTInLab", "V0pTInLab", kTH1F, {axisPT});
Expand Down Expand Up @@ -76,13 +77,18 @@ struct LfMyV0s {
registry.add("V0protonpxInRest_frame", "V0protonpxInRest_frame", kTH1F, {axisPx});
registry.add("V0protonpyInRest_frame", "V0protonpyInRest_frame", kTH1F, {axisPy});
registry.add("V0protonpzInRest_frame", "V0protonpzInRest_frame", kTH1F, {axisPz});
registry.add("V0protonMassInRest_frame", "V0protonMassInRest_frame", kTH1F, {axisMass});
registry.add("V0protonphiInRest_frame", "V0protonphiInRest_frame", kTH1F, {axisPhi});

registry.add("V0protonpxInJetV0frame", "V0protonpxInJetV0frame", kTH1F, {axisPx});
registry.add("V0protonpyInJetV0frame", "V0protonpyInJetV0frame", kTH1F, {axisPy});
registry.add("V0protonpzInJetV0frame", "V0protonpzInJetV0frame", kTH1F, {axisPz});
registry.add("V0protonphiInJetV0frame", "V0protonphiInJetV0frame", kTH1F, {axisPhi});

registry.add("V0LambdapxInJetV0frame", "V0LambdapxInJetV0frame", kTH1F, {axisPx});
registry.add("V0LambdapyInJetV0frame", "V0LambdapyInJetV0frame", kTH1F, {axisPy});
registry.add("V0LambdapzInJetV0frame", "V0LambdapzInJetV0frame", kTH1F, {axisPz});

registry.add("hLambdamassandSinPhi", "hLambdamassandSinPhi", kTH2F, {{200, 0.9, 1.2}, {200, -1, 1}});
registry.add("profile", "Invariant Mass vs sin(phi)", {HistType::kTProfile, {{200, 0.9, 1.2}}});
}
Expand Down Expand Up @@ -120,29 +126,30 @@ struct LfMyV0s {
TVector3 UnitZ(0.0, 0.0, 1.0);
TVector3 JetP(Jetpx, Jetpy, Jetpz);
TVector3 V0LambdaP(Lambdapx, Lambdapy, Lambdapz);
TVector3 JetCrossV0 = (JetP.Cross(V0LambdaP));
TVector3 YinJet = (JetCrossV0).Cross(JetP);
TVector3 UnitXInJet = YinJet.Unit();
TVector3 UnitYInJet = JetCrossV0.Unit();
TVector3 UnitZInJet = JetP.Unit();
TVector3 vortex_y = (JetP.Cross(V0LambdaP));

TVector3 z_hat = JetP.Unit();
TVector3 y_hat = vortex_y.Unit();
TVector3 x_hat1 = y_hat.Cross(z_hat);
TVector3 x_hat = x_hat1.Unit();

TMatrixD matrixLabToJet(4, 4);
matrixLabToJet(0, 0) = 1;
matrixLabToJet(0, 1) = 0.0;
matrixLabToJet(0, 2) = 0.0;
matrixLabToJet(0, 3) = 0.0;
matrixLabToJet(1, 0) = 0.0;
matrixLabToJet(1, 1) = UnitXInJet * UnitX;
matrixLabToJet(1, 2) = UnitXInJet * UnitY;
matrixLabToJet(1, 3) = UnitXInJet * UnitZ;
matrixLabToJet(1, 1) = x_hat.X();
matrixLabToJet(1, 2) = x_hat.Y();
matrixLabToJet(1, 3) = x_hat.Z();
matrixLabToJet(2, 0) = 0.0;
matrixLabToJet(2, 1) = UnitYInJet * UnitX;
matrixLabToJet(2, 2) = UnitYInJet * UnitY;
matrixLabToJet(2, 3) = UnitYInJet * UnitZ;
matrixLabToJet(2, 1) = y_hat.X();
matrixLabToJet(2, 2) = y_hat.Y();
matrixLabToJet(2, 3) = y_hat.Z();
matrixLabToJet(3, 0) = 0.0;
matrixLabToJet(3, 1) = UnitZInJet * UnitX;
matrixLabToJet(3, 2) = UnitZInJet * UnitY;
matrixLabToJet(3, 3) = UnitZInJet * UnitZ;
matrixLabToJet(3, 1) = z_hat.X();
matrixLabToJet(3, 2) = z_hat.Y();
matrixLabToJet(3, 3) = z_hat.Z();
return matrixLabToJet;
}
// aod::MyCollision const& collision
Expand Down Expand Up @@ -184,6 +191,8 @@ struct LfMyV0s {
pLabproton(3, 0) = candidate.v0protonpz();
TMatrixD protonInV0(4, 1);
protonInV0 = LorentzTransInV0frame(ELambda, candidate.v0px(), candidate.v0py(), candidate.v0pz()) * pLabproton;
double protonMassInV0 = sqrt(protonInV0(0, 0) * protonInV0(0, 0) - protonInV0(1, 0) * protonInV0(1, 0) - protonInV0(2, 0) * protonInV0(2, 0) - protonInV0(3, 0) * protonInV0(3, 0));
registry.fill(HIST("V0protonMassInRest_frame"), protonMassInV0);
registry.fill(HIST("V0protonpxInRest_frame"), protonInV0(1, 0));
registry.fill(HIST("V0protonpyInRest_frame"), protonInV0(2, 0));
registry.fill(HIST("V0protonpzInRest_frame"), protonInV0(3, 0));
Expand All @@ -201,7 +210,6 @@ struct LfMyV0s {
PROCESS_SWITCH(LfMyV0s, processJetV0Analysis, "processJetV0Analysis", true);
void processLeadingJetV0Analysis(aod::MyTable const& myv0s, aod::MyTableLeadingJet const& myleadingJets)
{
//
for (auto& LeadingJet : myleadingJets) {
int V0Numbers = 0;
double protonsinPhiInJetV0frame = 0;
Expand All @@ -210,14 +218,30 @@ struct LfMyV0s {
V0Numbers = V0Numbers + 1;
double PLambda = sqrt(candidate.v0px() * candidate.v0px() + candidate.v0py() * candidate.v0py() + candidate.v0pz() * candidate.v0pz());
double ELambda = sqrt(candidate.v0Lambdamass() * candidate.v0Lambdamass() + PLambda * PLambda);
TMatrixD pLabproton(4, 1);
double protonE = sqrt(massPr * massPr + candidate.v0protonpx() * candidate.v0protonpx() + candidate.v0protonpy() * candidate.v0protonpy() + candidate.v0protonpz() * candidate.v0protonpz());

TMatrixD pLabV0(4, 1);
pLabV0(0, 0) = ELambda;
pLabV0(1, 0) = candidate.v0px();
pLabV0(2, 0) = candidate.v0py();
pLabV0(3, 0) = candidate.v0pz();

TMatrixD lambdaInJet(4, 1);
lambdaInJet = MyTMatrixTranslationToJet(LeadingJet.leadingjetpx(), LeadingJet.leadingjetpy(), LeadingJet.leadingjetpz(), candidate.v0px(), candidate.v0py(), candidate.v0pz()) * pLabV0;

TMatrixD lambdaInJetV0(4, 1);
lambdaInJetV0 = LorentzTransInV0frame(ELambda, lambdaInJet(1, 0), lambdaInJet(2, 0), lambdaInJet(3, 0)) * MyTMatrixTranslationToJet(LeadingJet.leadingjetpx(), LeadingJet.leadingjetpy(), LeadingJet.leadingjetpz(), candidate.v0px(), candidate.v0py(), candidate.v0pz()) * pLabV0;
registry.fill(HIST("V0LambdapxInJetV0frame"), lambdaInJetV0(1, 0));
registry.fill(HIST("V0LambdapyInJetV0frame"), lambdaInJetV0(2, 0));
registry.fill(HIST("V0LambdapzInJetV0frame"), lambdaInJetV0(3, 0));

TMatrixD pLabproton(4, 1);
pLabproton(0, 0) = protonE;
pLabproton(1, 0) = candidate.v0protonpx();
pLabproton(2, 0) = candidate.v0protonpy();
pLabproton(3, 0) = candidate.v0protonpz();
TMatrixD protonInJetV0(4, 1);
protonInJetV0 = LorentzTransInV0frame(ELambda, candidate.v0px(), candidate.v0py(), candidate.v0pz()) * MyTMatrixTranslationToJet(LeadingJet.leadingjetpx(), LeadingJet.leadingjetpy(), LeadingJet.leadingjetpz(), candidate.v0px(), candidate.v0py(), candidate.v0pz()) * pLabproton;
protonInJetV0 = LorentzTransInV0frame(ELambda, lambdaInJet(1, 0), lambdaInJet(2, 0), lambdaInJet(3, 0)) * MyTMatrixTranslationToJet(LeadingJet.leadingjetpx(), LeadingJet.leadingjetpy(), LeadingJet.leadingjetpz(), candidate.v0px(), candidate.v0py(), candidate.v0pz()) * pLabproton;
registry.fill(HIST("V0protonpxInJetV0frame"), protonInJetV0(1, 0));
registry.fill(HIST("V0protonpyInJetV0frame"), protonInJetV0(2, 0));
registry.fill(HIST("V0protonpzInJetV0frame"), protonInJetV0(3, 0));
Expand Down