Rivet analyses

// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/Beam.hh"
#include "Rivet/Projections/FinalState.hh"
#include "Rivet/Projections/UnstableParticles.hh"

namespace Rivet {


  /// @brief Jpsi/psi2S baryon decay analysis
  class BESIII_2016_I1422780 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(BESIII_2016_I1422780);


    /// @name Analysis methods
    /// @{

    /// Book histograms and initialise projections before the run
    void init() {

      // Initialise and register projections
      declare(Beam(), "Beams");
      declare(UnstableParticles(), "UFS");
      declare(FinalState(), "FS");

      // Book histograms
      size_t ih = 0;
      for (double eVal : allowedEnergies()) {

        const string en = toString(round(eVal / MeV));
        if (isCompatibleWithSqrtS(eVal, 1e-1)) _sqs = en;

        book(_h[en + "xi"], 2, 1, 1 + ih);
        book(_h[en + "sigm"], 2, 1, 2 + ih);
        book(_h[en + "sigp"], 2, 1, 3 + ih);
        ih += 3;
      }
      raiseBeamErrorIf(_sqs.empty());
    }

    void findChildren(const Particle& p, map<long, int>& nRes, int& ncount) const {
      for (const Particle& child : p.children()) {
        if (child.children().empty()) {
          nRes[child.pid()] -= 1;
          --ncount;
        }
        else {
          findChildren(child, nRes, ncount);
        }
      }
    }

    /// Perform the per-event analysis
    void analyze(const Event& event) {
      // get the axis, direction of incoming electron
      const ParticlePair& beams = apply<Beam>(event, "Beams").beams();
      Vector3 axis;
      if (beams.first.pid() > 0) {
        axis = beams.first.mom().p3().unit();
      }
      else {
        axis = beams.second.mom().p3().unit();
      }
      // types of final state particles
      const FinalState& fs = apply<FinalState>(event, "FS");
      map<long, int> nCount;
      int ntotal(0);
      for (const Particle& p : fs.particles()) {
        nCount[p.pid()] += 1;
        ++ntotal;
      }

      const UnstableParticles& ufs = apply<UnstableParticles>(event, "UFS");
      for (const Particle& p :
           ufs.particles(Cuts::abspid == 3312 or Cuts::abspid == 3224 or Cuts::abspid == 3114)) {
        if (p.children().empty()) continue;
        map<long, int> nRes = nCount;
        int ncount = ntotal;
        findChildren(p, nRes, ncount);
        bool matched = false;
        // check for antiparticle
        for (const Particle& p2 : ufs.particles(Cuts::pid == -p.pid())) {
          if (p2.children().empty()) continue;
          map<long, int> nRes2 = nRes;
          int ncount2 = ncount;
          findChildren(p2, nRes2, ncount2);
          if (ncount2 == 0) {
            matched = true;
            for (const auto& val : nRes2) {
              if (val.second != 0) {
                matched = false;
                break;
              }
            }
            // fond baryon and antibaryon
            if (matched) {
              // calc cosine
              double ctheta;
              if (p.pid() > 0) {
                ctheta = p.mom().p3().unit().dot(axis);
              }
              else {
                ctheta = p2.mom().p3().unit().dot(axis);
              }
              if (abs(p.pid()) == 3312) {
                _h[_sqs + "xi"]->fill(ctheta);
              }
              else if (abs(p.pid()) == 3114) {
                _h[_sqs + "sigm"]->fill(ctheta);
              }
              else if (abs(p.pid()) == 3224) {
                _h[_sqs + "sigp"]->fill(ctheta);
              }
              break;
            }
          }
        }
        if (matched) break;
      }
    }

    pair<double, pair<double, double>> calcAlpha(const Histo1DPtr& hist) const {
      if (hist->numEntries() == 0.) return make_pair(0., make_pair(0., 0.));
      double d = 3. / (pow(hist->xMax(), 3) - pow(hist->xMin(), 3));
      double c = 3. * (hist->xMax() - hist->xMin()) / (pow(hist->xMax(), 3) - pow(hist->xMin(), 3));
      double sum1(0.), sum2(0.), sum3(0.), sum4(0.), sum5(0.);
      for (const auto& bin : hist->bins()) {
        double Oi = bin.sumW();
        if (Oi == 0.) continue;
        double a = d * bin.xWidth();
        double b = d / 3. * (pow(bin.xMax(), 3) - pow(bin.xMin(), 3));
        double Ei = bin.errW();
        sum1 += a * Oi / sqr(Ei);
        sum2 += b * Oi / sqr(Ei);
        sum3 += sqr(a) / sqr(Ei);
        sum4 += sqr(b) / sqr(Ei);
        sum5 += a * b / sqr(Ei);
      }
      // calculate alpha
      double alpha = (-c * sum1 + sqr(c) * sum2 + sum3 - c * sum5) / (sum1 - c * sum2 + c * sum4 - sum5);
      // and error
      double cc = -pow((sum3 + sqr(c) * sum4 - 2 * c * sum5), 3);
      double bb = -2 * sqr(sum3 + sqr(c) * sum4 - 2 * c * sum5) * (sum1 - c * sum2 + c * sum4 - sum5);
      double aa = sqr(sum1 - c * sum2 + c * sum4 - sum5)
          * (-sum3 - sqr(c) * sum4 + sqr(sum1 - c * sum2 + c * sum4 - sum5) + 2 * c * sum5);
      double dis = sqr(bb) - 4. * aa * cc;
      if (dis > 0.) {
        dis = sqrt(dis);
        return make_pair(alpha, make_pair(0.5 * (-bb + dis) / aa, -0.5 * (-bb - dis) / aa));
      }
      else {
        return make_pair(alpha, make_pair(0., 0.));
      }
    }

    /// Normalise histograms etc., after the run
    void finalize() {

      vector<string> edges = {"xi", "sigm", "sigp"};
      normalize(_h, 1.0, false);

      BinnedEstimatePtr<string> _h_alpha;
      book(_h_alpha, 1, 1, 3);
      size_t ih = 1;
      for (double eVal : allowedEnergies()) {

        const string en = toString(round(eVal / MeV));

        for (size_t ix = 0; ix < edges.size(); ++ix) {
          const auto alpha = calcAlpha(_h[en + edges[ix]]);
          _h_alpha->bin(ix + ih).set(alpha.first, alpha.second);
        }
        ih += 3;
      }
    }
    /// @}


    /// @name Histograms
    /// @{
    map<string, Histo1DPtr> _h;
    string _sqs = "";
    /// @}
  };


  RIVET_DECLARE_PLUGIN(BESIII_2016_I1422780);


}