Bremsstrahlung.cc

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#include "FastSimulation/Utilities/interface/RandomEngineAndDistribution.h"
#include "FastSimulation/SimplifiedGeometryPropagator/interface/Particle.h"
#include "FastSimulation/SimplifiedGeometryPropagator/interface/SimplifiedGeometry.h"
#include "FWCore/MessageLogger/interface/MessageLogger.h"
#include "FWCore/ParameterSet/interface/ParameterSet.h"

#include <cmath>
#include <memory>

#include <Math/RotationY.h>
#include <Math/RotationZ.h>

#include "FastSimulation/SimplifiedGeometryPropagator/interface/InteractionModelFactory.h"
#include "FastSimulation/SimplifiedGeometryPropagator/interface/InteractionModel.h"
#include "FastSimulation/SimplifiedGeometryPropagator/interface/Constants.h"
#include "DataFormats/Math/interface/LorentzVector.h"

// Author: Patrick Janot
// Date: 25-Dec-2003
//
// Revision: Class structure modified to match SimplifiedGeometryPropagator
//           Fixed a bug in which particles could radiate more energy than they have
//           S. Kurz, 29 May 2017

namespace fastsim {

  class Bremsstrahlung : public InteractionModel {
  public:
    Bremsstrahlung(const std::string& name, const edm::ParameterSet& cfg);

    ~Bremsstrahlung() override { ; };


    void interact(Particle& particle,
                  const SimplifiedGeometry& layer,
                  std::vector<std::unique_ptr<Particle> >& secondaries,
                  const RandomEngineAndDistribution& random) override;

  private:

    math::XYZTLorentzVector brem(Particle& particle, double xmin, const RandomEngineAndDistribution& random) const;


    double gbteth(const double ener,
                  const double partm,
                  const double efrac,
                  const RandomEngineAndDistribution& random) const;

    double minPhotonEnergy_;          
    double minPhotonEnergyFraction_;  
    double Z_;                        
  };
}  // namespace fastsim

fastsim::Bremsstrahlung::Bremsstrahlung(const std::string& name, const edm::ParameterSet& cfg)
    : fastsim::InteractionModel(name) {
  // Set the minimal photon energy for a Brem from e+/-
  minPhotonEnergy_ = cfg.getParameter<double>("minPhotonEnergy");
  minPhotonEnergyFraction_ = cfg.getParameter<double>("minPhotonEnergyFraction");
  // Material properties
  Z_ = cfg.getParameter<double>("Z");
}

void fastsim::Bremsstrahlung::interact(fastsim::Particle& particle,
                                       const SimplifiedGeometry& layer,
                                       std::vector<std::unique_ptr<fastsim::Particle> >& secondaries,
                                       const RandomEngineAndDistribution& random) {
  // only consider electrons and positrons
  if (std::abs(particle.pdgId()) != 11) {
    return;
  }

  double radLengths = layer.getThickness(particle.position(), particle.momentum());
  //
  // no material
  //
  if (radLengths < 1E-10) {
    return;
  }

  // Protection : Just stop the electron if more than 1 radiation lengths.
  // This case corresponds to an electron entering the layer parallel to
  // the layer axis - no reliable simulation can be done in that case...
  if (radLengths > 4.) {
    particle.momentum().SetXYZT(0., 0., 0., 0.);
    return;
  }

  // electron must have more energy than minimum photon energy
  if (particle.momentum().E() - particle.momentum().mass() < minPhotonEnergy_) {
    return;
  }

  // Hard brem probability with a photon Energy above threshold.
  double xmin = std::max(minPhotonEnergy_ / particle.momentum().E(), minPhotonEnergyFraction_);
  if (xmin >= 1. || xmin <= 0.) {
    return;
  }

  // probability to radiate a photon
  double bremProba =
      radLengths * (4. / 3. * std::log(1. / xmin) - 4. / 3. * (1. - xmin) + 1. / 2. * (1. - xmin * xmin));

  // Number of photons to be radiated.
  unsigned int nPhotons = random.poissonShoot(bremProba);
  if (nPhotons == 0) {
    return;
  }

  // Needed to rotate photons to the lab frame
  double theta = particle.momentum().Theta();
  double phi = particle.momentum().Phi();

  // Calculate energy of these photons and add them to the event
  for (unsigned int i = 0; i < nPhotons; ++i) {
    // Throw momentum of the photon
    math::XYZTLorentzVector photonMom = brem(particle, xmin, random);

    // Check that there is enough energy left.
    if (particle.momentum().E() - particle.momentum().mass() < photonMom.E())
      break;

    // Rotate to the lab frame
    photonMom = ROOT::Math::RotationZ(phi) * (ROOT::Math::RotationY(theta) * photonMom);

    // Add a photon
    secondaries.emplace_back(new fastsim::Particle(22, particle.position(), photonMom));

    // Update the original e+/-
    particle.momentum() -= photonMom;
  }
}

math::XYZTLorentzVector fastsim::Bremsstrahlung::brem(fastsim::Particle& particle,
                                                      double xmin,
                                                      const RandomEngineAndDistribution& random) const {
  double xp = 0;
  double weight = 0.;

  do {
    xp = xmin * std::exp(-std::log(xmin) * random.flatShoot());
    weight = 1. - xp + 3. / 4. * xp * xp;
  } while (weight < random.flatShoot());

  // Have photon energy. Now generate angles with respect to the z axis
  // defined by the incoming particle's momentum.

  // Isotropic in phi
  const double phi = random.flatShoot() * 2. * M_PI;
  // theta from universal distribution
  const double theta = gbteth(particle.momentum().E(), fastsim::Constants::eMass, xp, random) *
                       fastsim::Constants::eMass / particle.momentum().E();

  // Make momentum components
  double stheta = std::sin(theta);
  double ctheta = std::cos(theta);
  double sphi = std::sin(phi);
  double cphi = std::cos(phi);

  return xp * particle.momentum().E() * math::XYZTLorentzVector(stheta * cphi, stheta * sphi, ctheta, 1.);
}

double fastsim::Bremsstrahlung::gbteth(const double ener,
                                       const double partm,
                                       const double efrac,
                                       const RandomEngineAndDistribution& random) const {
  // Details on implementation here
  // http://www.dnp.fmph.uniba.sk/cernlib/asdoc/geant_html3/node299.html#GBTETH
  // http://svn.cern.ch/guest/AliRoot/tags/v3-07-03/GEANT321/gphys/gbteth.F

  const double alfa = 0.625;

  const double d = 0.13 * (0.8 + 1.3 / Z_) * (100.0 + (1.0 / ener)) * (1.0 + efrac);
  const double w1 = 9.0 / (9.0 + d);
  const double umax = ener * M_PI / partm;
  double u;

  do {
    double beta = (random.flatShoot() <= w1) ? alfa : 3.0 * alfa;
    u = -std::log(random.flatShoot() * random.flatShoot()) / beta;
  } while (u >= umax);

  return u;
}

DEFINE_EDM_PLUGIN(fastsim::InteractionModelFactory, fastsim::Bremsstrahlung, "fastsim::Bremsstrahlung");