## main70

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    // main70.cc is a part of the PYTHIA event generator.
    // Copyright (C) 2024 Torbjorn Sjostrand.
    // PYTHIA is licenced under the GNU GPL v2 or later, see COPYING for details.
    // Please respect the MCnet Guidelines, see GUIDELINES for details.

    // Authors:
    //            Ilkka Helenius

    // Keywords:
    //            Photon beam
    //            DIS
    //            UPC
    //            Heavy ions
    //            Photoproduction

    // Main program to demonstrate how to define a photon flux and use that
    // to generate charged-particle pT spectra in photo-production processes.

    #include "Pythia8/Pythia.h"

    using namespace Pythia8;

    // Photon flux from leptons, corresponds to internal Lepton2gamma.

    class Lepton2gamma2 : public PDF {

    public:

      // Constructor.
      Lepton2gamma2(int idBeamIn) : PDF(idBeamIn) {}

      // Update the photon flux.
      void xfUpdate(int , double x, double Q2) {
        xgamma = 0.5 * 0.007297353080 / M_PI * (1. + pow2(1. - x)) / Q2;
      }
    };

    // Photon flux from lead-ions. Integrated over impact parameters > 2*r_Pb.
    // Suitable for photo-nuclear processes but not for photon-photon.
    // This should be considered as an experimental setup and used with caution.

    class Nucleus2gamma2 : public PDF {

    public:

      // Constructor.
      Nucleus2gamma2(int idBeamIn) : PDF(idBeamIn) {}

      // Update the photon flux.
      void xfUpdate(int , double x, double ) {

        // Minimum impact parameter (~2*radius) [fm].
        double bmin = 2 * 6.636;

        // Charge of the nucleus.
        double z = 82.;

        // Per-nucleon mass for lead.
        double m2 = pow2(0.9314);
        double alphaEM = 0.007297353080;
        double hbarc = 0.197;
        double xi = x * sqrt(m2) * bmin / hbarc;
        double bK0 = besselK0(xi);
        double bK1 = besselK1(xi);
        double intB = xi * bK1 * bK0 - 0.5 * pow2(xi) * ( pow2(bK1) - pow2(bK0) );
        xgamma = 2. * alphaEM * pow2(z) / M_PI * intB;
      }

    };

    // The main program.

    int main() {

      // Generator.
      Pythia pythia;

      // Decrease the output.
      pythia.readString("Init:showChangedSettings = off");
      pythia.readString("Init:showChangedParticleData = off");
      pythia.readString("Next:numberCount = 1000");
      pythia.readString("Next:numberShowInfo = 0");
      pythia.readString("Next:numberShowProcess = 1");
      pythia.readString("Next:numberShowEvent = 3");

      // Two possible process to consider here 1=ep at HERA, 2=UPC at LHC.
      int process = 1;

      // Pointer to externally defined photon flux.
      PDFPtr photonFlux = 0;

      // Photoproduction at HERA.
      // NOTE: Same results more efficiently could be obtained with
      // pythia.readString("PDF:lepton2gammaSet = 1"), this is for demonstration
      // purposed only.
      if (process == 1) {

        // Beam parameters.
        pythia.readString("Beams:frameType = 2");
        pythia.readString("Beams:idA = -11");
        pythia.readString("Beams:idB = 2212");
        pythia.readString("Beams:eA = 27.5");
        pythia.readString("Beams:eB = 820.");
        pythia.readString("PDF:beamA2gamma = on");
        pythia.readString("PDF:lepton2gammaSet = 0");
        photonFlux = make_shared<Lepton2gamma2>(-11);

      // Experimental UPC generation in PbPb at LHC. Use p+p collision with
      // appropriate photon flux and nPDFs as a proxy for heavy-ion UPCs.
      } else if (process == 2) {

        // Beam parameters.
        pythia.readString("Beams:eCM = 5020.");
        pythia.readString("Beams:idA = 2212");
        pythia.readString("Beams:idB = 2212");
        pythia.readString("PDF:beamA2gamma = on");
        pythia.readString("PDF:proton2gammaSet = 0");

        // Use nuclear PDF for the hard process generation in the proton side.
        pythia.readString("PDF:useHardNPDFB = on");
        // Modify the minimum impact parameter to match the flux defined above.
        pythia.readString("PDF:gammaFluxApprox2bMin = 13.272");
        // Optimized sampling for photon flux from nuclei.
        pythia.readString("PDF:beam2gammaApprox = 2");
        // Do not sample virtuality since use b-integrated flux here.
        pythia.readString("Photon:sampleQ2 = off");
        photonFlux = make_shared<Nucleus2gamma2>(2212);
      }

      // Set the external photon flux for beam A.
      pythia.setPhotonFluxPtr(photonFlux, 0);

      // Switch relevant processes on.
      pythia.readString("HardQCD:all = on");
      pythia.readString("PhotonParton:all = on");

      // Limit partonic pThat.
      pythia.readString("PhaseSpace:pTHatMin = 10.0");

      // Use optimized pT0ref for photon-hadron.
      pythia.readString("MultipartonInteractions:pT0Ref = 3.0");

      // Parameters for histograms.
      double pTmin = 0.0;
      double pTmax = 40.0;
      int nBinsPT  = 40;

      // Initialize the histograms.
      Hist pTch("Charged hadron pT distribution", nBinsPT, pTmin, pTmax);

      // Initialize the generator.
      pythia.init();

      // Number of events.
      int nEvent = 10000;

      // Begin event loop. Skip if fails.
      for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

        // Generate next event.
        if (!pythia.next()) continue;

        // Event weight.
        double weight = pythia.info.weight();

        // Loop over event record.
        for (int i = 0; i < pythia.event.size(); ++i){
          if ( pythia.event[i].isFinal() && pythia.event[i].isCharged() ) {

            // Store the pT value.
            pTch.fill(pythia.event[i].pT(), weight );
          }
        }

      } // End of event loop.

      // Show statistics.
      pythia.stat();

      // Normalize to cross section [mb].
      double sigmaNorm = pythia.info.sigmaGen() / pythia.info.weightSum();
      double pTbin     = (pTmax - pTmin) / (1. * nBinsPT);

      pTch *= sigmaNorm / pTbin;

      cout << pTch;

      // Done.
      return 0;
    }