Rivet analyses


title: LHCB_2014_I1281685

Charged particle multiplicities and densities in $pp$ collisions at $\sqrt{s} = 7$ TeV

Experiment: LHCB (LHC)

Inspire ID: 1281685

Status: VALIDATED

Authors: - Marco Meissner

References: - Eur.Phys.J.C74:2888,2014 - DOI: 10.1140/epjc/s10052-014-2888-1 - arXiv: 1402.4430

Beams: p+ p+

Beam energies: (3500.0, 3500.0)GeV

Run details: - Proton-proton collisions at $\sqrt(s)=7$ TeV, minimum bias data with a fixed interaction rate of 1, no pile-up events. Kinematic cuts are, minimum momentum of 2 GeV/$c$, minimum transverse momentum of 0.2 GeV/$c$ and a pseudorapidity range of $2.0 < \eta < 4.8$.

Measurement of prompt charged particle production in proton-proton collisions at a centre-of-mass energy of 7 TeV at the LHC. The measurement is performed in the kinematic range $p > 2$ GeV/$c$, $p_\perp > 0.2$ GeV/$c$ and $2.0 < \eta < 4.8$. At least one prompt charged particle per event is required. A prompt particle is defined as a particle, that either originates directly from the primary vertex or from a decay chain in which the sum of mean lifetimes does not exceed 10 ps. Charged particle multiplicities are measured in the full kinematic range as well as in regions of pseudorapidity and transverse momentum. In addition, also mean particle densities are presented as functions of pseudorapidity and transverse momentum.

Source code:LHCB_2014_I1281685.cc

```c++ // -- C++ --

include "Rivet/Analysis.hh"

include "Rivet/Projections/ChargedFinalState.hh"

namespace Rivet {

/// Charged particle multiplicities and densities in $pp$ collisions at $\sqrt{s} = 7$ TeV class LHCB_2014_I1281685 : public Analysis { public:

/// @name Constructors etc.
/// @{

/// Constructor
LHCB_2014_I1281685()
    : Analysis("LHCB_2014_I1281685"),
      _p_min(2.0),
      _pt_min(0.2),
      _eta_min(2.0),
      _eta_max(4.8),
      _maxlft(1.0e-11) { }

/// @}


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

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

  // Projections
  declare(ChargedFinalState(Cuts::etaIn(_eta_min, _eta_max) && Cuts::pT >= _pt_min * GeV), "CFS");

  // Book histograms
  book(_h_mult_total, "d03-x01-y01", 50, 0.5, 50.5);

  book(_h_mult_eta[0], "d04-x01-y01", 21, -0.5, 20.5); //eta=[2.0,2.5]
  book(_h_mult_eta[1], "d04-x01-y02", 21, -0.5, 20.5); //eta=[2.5,3.0]
  book(_h_mult_eta[2], "d04-x01-y03", 21, -0.5, 20.5); //eta=[3.0,3.5]
  book(_h_mult_eta[3], "d04-x01-y04", 21, -0.5, 20.5); //eta=[3.5,4.0]
  book(_h_mult_eta[4], "d04-x01-y05", 21, -0.5, 20.5); //eta=[4.0,4.5]

  book(_h_mult_pt[0], "d05-x01-y01", 21, -0.5, 20.5); //pT=[0.2,0.3]GeV
  book(_h_mult_pt[1], "d05-x01-y02", 21, -0.5, 20.5); //pT=[0.3,0.4]GeV
  book(_h_mult_pt[2], "d05-x01-y03", 21, -0.5, 20.5); //pT=[0.4,0.6]GeV
  book(_h_mult_pt[3], "d05-x01-y04", 21, -0.5, 20.5); //pT=[0.6,1.0]GeV
  book(_h_mult_pt[4], "d05-x01-y05", 21, -0.5, 20.5); //pT=[1.0,2.0]GeV

  book(_h_dndeta, "d01-x01-y01", 14, 2.0, 4.8); //eta=[2,4.8]
  book(_h_dndpt, "d02-x01-y01", 18, 0.2, 2.0);  //pT =[0,2]GeV

  // Counters
  book(_sumW, "TMP/sumW");
}


/// Perform the per-event analysis
void analyze(const Event& event) {

  // Variable to store multiplicities per event
  int LHCbcountAll = 0;                           //count particles fulfiling all requirements
  int LHCbcountEta[8] = {0, 0, 0, 0, 0, 0, 0, 0}; //count per eta-bin
  int LHCbcountPt[7] = {0, 0, 0, 0, 0, 0, 0};     //count per pT-bin
  vector<double> val_dNdEta;
  vector<double> val_dNdPt;
  val_dNdEta.clear();
  val_dNdPt.clear();

  const ChargedFinalState& cfs = apply<ChargedFinalState>(event, "CFS");
  for (const Particle& p : cfs.particles()) {
    int id = p.pid();
    // continue if particle is not a pion, kaon, proton, muon or electron
    if (!((abs(id) == 211) || (abs(id) == 321) || (abs(id) == 2212) || (abs(id) == 13)
          || (abs(id) == 11))) {
      continue;
    }

    const FourMomentum& qmom = p.momentum();
    const double eta = p.momentum().eta();
    const double pT = p.momentum().pT();
    //minimum momentum
    if (qmom.p3().mod() < _p_min) continue;
    //minimum tr. momentum
    if (pT < _pt_min) continue;
    //eta range
    if ((eta < _eta_min) || (eta > _eta_max)) continue;

    /* Select only prompt particles via lifetime */
    //Sum of all mother lifetimes (PDG lifetime) < 10ps
    double ancestors_sumlft = getAncestorSumLifetime(p);
    if ((ancestors_sumlft > _maxlft) || (ancestors_sumlft < 0)) continue;

    //after all cuts;
    LHCbcountAll++; //count particles in whole kin. range

    //in eta bins
    if (eta > 2.0 && eta <= 2.5) LHCbcountEta[0]++;
    if (eta > 2.5 && eta <= 3.0) LHCbcountEta[1]++;
    if (eta > 3.0 && eta <= 3.5) LHCbcountEta[2]++;
    if (eta > 3.5 && eta <= 4.0) LHCbcountEta[3]++;
    if (eta > 4.0 && eta <= 4.5) LHCbcountEta[4]++;
    if (eta > 2.0 && eta <= 4.8) LHCbcountEta[5]++; //cross-check
    //in pT bins
    if (pT > 0.2 && pT <= 0.3) LHCbcountPt[0]++;
    if (pT > 0.3 && pT <= 0.4) LHCbcountPt[1]++;
    if (pT > 0.4 && pT <= 0.6) LHCbcountPt[2]++;
    if (pT > 0.6 && pT <= 1.0) LHCbcountPt[3]++;
    if (pT > 1.0 && pT <= 2.0) LHCbcountPt[4]++;
    if (pT > 0.2) LHCbcountPt[5]++; //cross-check

    //particle densities -> need proper normalization (finalize)
    val_dNdPt.push_back(pT);
    val_dNdEta.push_back(eta);
  } //end for


  // Fill histograms only, if at least 1 particle pre event was within the
  // kinematic range of the analysis!
  if (LHCbcountAll) {
    _sumW->fill();

    _h_mult_total->fill(LHCbcountAll);

    _h_mult_eta[0]->fill(LHCbcountEta[0]);
    _h_mult_eta[1]->fill(LHCbcountEta[1]);
    _h_mult_eta[2]->fill(LHCbcountEta[2]);
    _h_mult_eta[3]->fill(LHCbcountEta[3]);
    _h_mult_eta[4]->fill(LHCbcountEta[4]);

    _h_mult_pt[0]->fill(LHCbcountPt[0]);
    _h_mult_pt[1]->fill(LHCbcountPt[1]);
    _h_mult_pt[2]->fill(LHCbcountPt[2]);
    _h_mult_pt[3]->fill(LHCbcountPt[3]);
    _h_mult_pt[4]->fill(LHCbcountPt[4]);

    for (size_t part = 0; part < val_dNdEta.size(); part++) _h_dndeta->fill(val_dNdEta[part]);

    for (size_t part = 0; part < val_dNdPt.size(); part++) _h_dndpt->fill(val_dNdPt[part]);
  }
}


/// Normalise histograms etc., after the run
void finalize() {
  const double scalefactor = 1.0 / _sumW->val(); // normalize multiplicity histograms by nEvents
  const double scale1k = 1000.;                  // to match '10^3' scale in reference histograms

  scale(_h_dndeta, scalefactor);
  scale(_h_dndpt, scalefactor * 0.1); //additional factor 0.1 for [0.1 GeV/c]
  scale(_h_mult_total, scalefactor * scale1k);

  _h_mult_eta[0]->scaleW(scalefactor * scale1k);
  _h_mult_eta[1]->scaleW(scalefactor * scale1k);
  _h_mult_eta[2]->scaleW(scalefactor * scale1k);
  _h_mult_eta[3]->scaleW(scalefactor * scale1k);
  _h_mult_eta[4]->scaleW(scalefactor * scale1k);

  _h_mult_pt[0]->scaleW(scalefactor * scale1k);
  _h_mult_pt[1]->scaleW(scalefactor * scale1k);
  _h_mult_pt[2]->scaleW(scalefactor * scale1k);
  _h_mult_pt[3]->scaleW(scalefactor * scale1k);
  _h_mult_pt[4]->scaleW(scalefactor * scale1k);
}

/// @}

private:

// Get mean PDG lifetime for particle with PID
double getLifetime(int pid) {
  double lft = 0.;
  map<int, double>::iterator pPartLft = _partLftMap.find(pid);
  if (pPartLft != _partLftMap.end()) {
    lft = (*pPartLft).second;
  }
  else {
    // allow identifying missing life times only in debug mode
    MSG_DEBUG("Could not determine lifetime for particle with PID " << pid
                                                                    << "... Assume non-prompt particle");
    lft = -1;
  }
  return lft;
}


// Get sum of all ancestor particles
double getAncestorSumLifetime(const Particle& p) {
  double lftSum = 0.;
  double plft = 0.;
  ConstGenParticlePtr part = p.genParticle();
  if (0 == part) return -1;
  ConstGenVertexPtr ivtx = part->production_vertex();
  while (ivtx) {
    vector<ConstGenParticlePtr> part_in = HepMCUtils::particles(ivtx, Relatives::PARENTS);
    if (part_in.size() < 1) {
      lftSum = -1.;
      break;
    };
    part = part_in.at(0);
    if (!(part)) {
      lftSum = -1.;
      break;
    };
    ivtx = part->production_vertex();
    if ((part->pdg_id() == 2212) || !(ivtx)) break; // reached beam
    plft = getLifetime(part->pdg_id());
    if (plft < 0.) {
      lftSum = -1.;
      break;
    };
    lftSum += plft;
  }
  return (lftSum);
}


/// Hard-coded map linking PDG ID with PDG lifetime[s] (converted from ParticleTable.txt)
bool fillMap(map<int, double>& m) {
  // PDGID  = LIFETIME
  m[22] = 1.000000e+016;
  m[-11] = 1.000000e+016;
  m[11] = 1.000000e+016;
  m[12] = 1.000000e+016;
  m[-13] = 2.197036e-006;
  m[13] = 2.197036e-006;
  m[111] = 8.438618e-017;
  m[211] = 2.603276e-008;
  m[-211] = 2.603276e-008;
  m[130] = 5.174624e-008;
  m[321] = 1.238405e-008;
  m[-321] = 1.238405e-008;
  m[2112] = 885.646128;
  m[2212] = 1.000000e+016;
  m[-2212] = 1.000000e+016;
  m[310] = 8.934603e-011;
  m[221] = 5.578070e-019;
  m[3122] = 2.631796e-010;
  m[3222] = 8.018178e-011;
  m[3212] = 7.395643e-020;
  m[3112] = 1.479129e-010;
  m[3322] = 2.899613e-010;
  m[3312] = 1.637344e-010;
  m[3334] = 8.207135e-011;
  m[-2112] = 885.646128;
  m[-3122] = 2.631796e-010;
  m[-3222] = 8.018178e-011;
  m[-3212] = 7.395643e-020;
  m[-3112] = 1.479129e-010;
  m[-3322] = 2.899613e-010;
  m[-3312] = 1.637344e-010;
  m[-3334] = 8.207135e-011;
  m[113] = 4.411610e-024;
  m[213] = 4.411610e-024;
  m[-213] = 4.411610e-024;
  m[223] = 7.798723e-023;
  m[333] = 1.545099e-022;
  m[323] = 1.295693e-023;
  m[-323] = 1.295693e-023;
  m[313] = 1.298249e-023;
  m[-313] = 1.298249e-023;
  m[20213] = 1.500000e-024;
  m[-20213] = 1.500000e-024;
  m[450000000] = 1.000000e+015;
  m[460000000] = 1.000000e+015;
  m[470000000] = 1.000000e+015;
  m[480000000] = 1.000000e+015;
  m[490000000] = 1.000000e+015;
  m[20022] = 1.000000e+016;
  m[-15] = 2.906014e-013;
  m[15] = 2.906014e-013;
  m[24] = 3.104775e-025;
  m[-24] = 3.104775e-025;
  m[23] = 2.637914e-025;
  m[411] = 1.051457e-012;
  m[-411] = 1.051457e-012;
  m[421] = 4.116399e-013;
  m[-421] = 4.116399e-013;
  m[431] = 4.904711e-013;
  m[-431] = 4.904711e-013;
  m[4122] = 1.994582e-013;
  m[-4122] = 1.994582e-013;
  m[443] = 7.565657e-021;
  m[413] = 6.856377e-021;
  m[-413] = 6.856377e-021;
  m[423] = 1.000003e-019;
  m[-423] = 1.000003e-019;
  m[433] = 1.000003e-019;
  m[-433] = 1.000003e-019;
  m[521] = 1.671000e-012;
  m[-521] = 1.671000e-012;
  m[511] = 1.536000e-012;
  m[-511] = 1.536000e-012;
  m[531] = 1.461000e-012;
  m[-531] = 1.461000e-012;
  m[541] = 4.600000e-013;
  m[-541] = 4.600000e-013;
  m[5122] = 1.229000e-012;
  m[-5122] = 1.229000e-012;
  m[4112] = 4.388081e-022;
  m[-4112] = 4.388081e-022;
  m[4212] = 3.999999e-022;
  m[-4212] = 3.999999e-022;
  m[4222] = 3.291060e-022;
  m[-4222] = 3.291060e-022;
  m[25] = 9.400000e-026;
  m[35] = 9.400000e-026;
  m[36] = 9.400000e-026;
  m[37] = 9.400000e-026;
  m[-37] = 9.400000e-026;
  m[4312] = 9.800002e-014;
  m[-4312] = 9.800002e-014;
  m[4322] = 3.500001e-013;
  m[-4322] = 3.500001e-013;
  m[4332] = 6.453061e-014;
  m[-4332] = 6.453061e-014;
  m[4132] = 9.824063e-014;
  m[-4132] = 9.824063e-014;
  m[4232] = 4.417532e-013;
  m[-4232] = 4.417532e-013;
  m[5222] = 1.000000e-019;
  m[-5222] = 1.000000e-019;
  m[5212] = 1.000000e-019;
  m[-5212] = 1.000000e-019;
  m[5112] = 1.000000e-019;
  m[-5112] = 1.000000e-019;
  m[5312] = 1.000000e-019;
  m[-5312] = 1.000000e-019;
  m[5322] = 1.000000e-019;
  m[-5322] = 1.000000e-019;
  m[5332] = 1.550000e-012;
  m[-5332] = 1.550000e-012;
  m[5132] = 1.390000e-012;
  m[-5132] = 1.390000e-012;
  m[5232] = 1.390000e-012;
  m[-5232] = 1.390000e-012;
  m[100443] = 2.194041e-021;
  m[331] = 3.258476e-021;
  m[441] = 4.113826e-023;
  m[10441] = 4.063038e-023;
  m[20443] = 7.154480e-022;
  m[445] = 3.164482e-022;
  m[9000111] = 1.149997e-023;
  m[9000211] = 1.149997e-023;
  m[-9000211] = 1.149997e-023;
  m[20113] = 1.500000e-024;
  m[115] = 6.151516e-024;
  m[215] = 6.151516e-024;
  m[-215] = 6.151516e-024;
  m[10323] = 7.313469e-024;
  m[-10323] = 7.313469e-024;
  m[10313] = 7.313469e-024;
  m[-10313] = 7.313469e-024;
  m[20323] = 3.782829e-024;
  m[-20323] = 3.782829e-024;
  m[20313] = 3.782829e-024;
  m[-20313] = 3.782829e-024;
  m[10321] = 2.238817e-024;
  m[-10321] = 2.238817e-024;
  m[10311] = 2.238817e-024;
  m[-10311] = 2.238817e-024;
  m[325] = 6.682357e-024;
  m[-325] = 6.682357e-024;
  m[315] = 6.038644e-024;
  m[-315] = 6.038644e-024;
  m[10411] = 4.380000e-024;
  m[20413] = 2.630000e-024;
  m[10413] = 3.290000e-023;
  m[-415] = 2.632849e-023;
  m[-10411] = 4.380000e-024;
  m[-20413] = 2.630000e-024;
  m[-10413] = 3.290000e-023;
  m[415] = 2.632849e-023;
  m[10421] = 4.380000e-024;
  m[20423] = 2.630000e-024;
  m[10423] = 3.482604e-023;
  m[-425] = 2.861792e-023;
  m[-10421] = 4.380000e-024;
  m[-20423] = 2.630000e-024;
  m[-10423] = 3.482604e-023;
  m[425] = 2.861792e-023;
  m[10431] = 6.582100e-022;
  m[20433] = 6.582100e-022;
  m[10433] = 6.582100e-022;
  m[435] = 4.388100e-023;
  m[-10431] = 6.582100e-022;
  m[-20433] = 6.582100e-022;
  m[-10433] = 6.582100e-022;
  m[-435] = 4.388100e-023;
  m[2224] = 5.485102e-024;
  m[2214] = 5.485102e-024;
  m[2114] = 5.485102e-024;
  m[1114] = 5.485102e-024;
  m[-2224] = 5.485102e-024;
  m[-2214] = 5.485102e-024;
  m[-2114] = 5.485102e-024;
  m[-1114] = 5.485102e-024;
  m[-523] = 1.000019e-019;
  m[523] = 1.000019e-019;
  m[513] = 1.000019e-019;
  m[-513] = 1.000019e-019;
  m[533] = 1.000000e-019;
  m[-533] = 1.000000e-019;
  m[10521] = 4.390000e-024;
  m[20523] = 2.630000e-024;
  m[10523] = 1.650000e-023;
  m[525] = 1.310000e-023;
  m[-10521] = 4.390000e-024;
  m[-20523] = 2.630000e-024;
  m[-10523] = 1.650000e-023;
  m[-525] = 1.310000e-023;
  m[10511] = 4.390000e-024;
  m[20513] = 2.630000e-024;
  m[10513] = 1.650000e-023;
  m[515] = 1.310000e-023;
  m[-10511] = 4.390000e-024;
  m[-20513] = 2.630000e-024;
  m[-10513] = 1.650000e-023;
  m[-515] = 1.310000e-023;
  m[10531] = 4.390000e-024;
  m[20533] = 2.630000e-024;
  m[10533] = 1.650000e-023;
  m[535] = 1.310000e-023;
  m[-10531] = 4.390000e-024;
  m[-20533] = 2.630000e-024;
  m[-10533] = 1.650000e-023;
  m[-535] = 1.310000e-023;
  m[14] = 1.000000e+016;
  m[-14] = 1.000000e+016;
  m[-12] = 1.000000e+016;
  m[1] = 0.000000e+000;
  m[-1] = 0.000000e+000;
  m[2] = 0.000000e+000;
  m[-2] = 0.000000e+000;
  m[3] = 0.000000e+000;
  m[-3] = 0.000000e+000;
  m[4] = 0.000000e+000;
  m[-4] = 0.000000e+000;
  m[5] = 0.000000e+000;
  m[-5] = 0.000000e+000;
  m[6] = 4.707703e-025;
  m[-6] = 4.707703e-025;
  m[7] = 0.000000e+000;
  m[-7] = 0.000000e+000;
  m[8] = 0.000000e+000;
  m[-8] = 0.000000e+000;
  m[16] = 1.000000e+016;
  m[-16] = 1.000000e+016;
  m[17] = 0.000000e+000;
  m[-17] = 0.000000e+000;
  m[18] = 0.000000e+000;
  m[-18] = 0.000000e+000;
  m[21] = 0.000000e+000;
  m[32] = 0.000000e+000;
  m[33] = 0.000000e+000;
  m[34] = 0.000000e+000;
  m[-34] = 0.000000e+000;
  m[39] = 0.000000e+000;
  m[41] = 0.000000e+000;
  m[-41] = 0.000000e+000;
  m[42] = 0.000000e+000;
  m[-42] = 0.000000e+000;
  m[43] = 0.000000e+000;
  m[44] = 0.000000e+000;
  m[-44] = 0.000000e+000;
  m[81] = 0.000000e+000;
  m[82] = 0.000000e+000;
  m[-82] = 0.000000e+000;
  m[83] = 0.000000e+000;
  m[84] = 3.335641e-013;
  m[-84] = 3.335641e-013;
  m[85] = 1.290893e-012;
  m[-85] = 1.290893e-012;
  m[86] = 0.000000e+000;
  m[-86] = 0.000000e+000;
  m[87] = 0.000000e+000;
  m[-87] = 0.000000e+000;
  m[88] = 0.000000e+000;
  m[90] = 0.000000e+000;
  m[91] = 0.000000e+000;
  m[92] = 0.000000e+000;
  m[93] = 0.000000e+000;
  m[94] = 0.000000e+000;
  m[95] = 0.000000e+000;
  m[96] = 0.000000e+000;
  m[97] = 0.000000e+000;
  m[98] = 0.000000e+000;
  m[99] = 0.000000e+000;
  m[117] = 4.088275e-024;
  m[119] = 1.828367e-024;
  m[217] = 4.088275e-024;
  m[-217] = 4.088275e-024;
  m[219] = 1.828367e-024;
  m[-219] = 1.828367e-024;
  m[225] = 3.555982e-024;
  m[227] = 3.917930e-024;
  m[229] = 3.392846e-024;
  m[311] = 1.000000e+016;
  m[-311] = 1.000000e+016;
  m[317] = 4.139699e-024;
  m[-317] = 4.139699e-024;
  m[319] = 3.324304e-024;
  m[-319] = 3.324304e-024;
  m[327] = 4.139699e-024;
  m[-327] = 4.139699e-024;
  m[329] = 3.324304e-024;
  m[-329] = 3.324304e-024;
  m[335] = 8.660687e-024;
  m[337] = 7.565657e-024;
  m[543] = 0.000000e+000;
  m[-543] = 0.000000e+000;
  m[545] = 0.000000e+000;
  m[-545] = 0.000000e+000;
  m[551] = 0.000000e+000;
  m[553] = 1.253738e-020;
  m[555] = 1.000000e+016;
  m[557] = 0.000000e+000;
  m[-450000000] = 0.000000e+000;
  m[-490000000] = 0.000000e+000;
  m[-460000000] = 0.000000e+000;
  m[-470000000] = 0.000000e+000;
  m[1103] = 0.000000e+000;
  m[-1103] = 0.000000e+000;
  m[1112] = 4.388081e-024;
  m[-1112] = 4.388081e-024;
  m[1116] = 1.880606e-024;
  m[-1116] = 1.880606e-024;
  m[1118] = 2.194041e-024;
  m[-1118] = 2.194041e-024;
  m[1212] = 4.388081e-024;
  m[-1212] = 4.388081e-024;
  m[1214] = 5.485102e-024;
  m[-1214] = 5.485102e-024;
  m[1216] = 1.880606e-024;
  m[-1216] = 1.880606e-024;
  m[1218] = 1.462694e-024;
  m[-1218] = 1.462694e-024;
  m[2101] = 0.000000e+000;
  m[-2101] = 0.000000e+000;
  m[2103] = 0.000000e+000;
  m[-2103] = 0.000000e+000;
  m[2116] = 4.388081e-024;
  m[-2116] = 4.388081e-024;
  m[2118] = 2.194041e-024;
  m[-2118] = 2.194041e-024;
  m[2122] = 4.388081e-024;
  m[-2122] = 4.388081e-024;
  m[2124] = 5.485102e-024;
  m[-2124] = 5.485102e-024;
  m[2126] = 1.880606e-024;
  m[-2126] = 1.880606e-024;
  m[2128] = 1.462694e-024;
  m[-2128] = 1.462694e-024;
  m[2203] = 0.000000e+000;
  m[-2203] = 0.000000e+000;
  m[2216] = 4.388081e-024;
  m[-2216] = 4.388081e-024;
  m[2218] = 2.194041e-024;
  m[-2218] = 2.194041e-024;
  m[2222] = 4.388081e-024;
  m[-2222] = 4.388081e-024;
  m[2226] = 1.880606e-024;
  m[-2226] = 1.880606e-024;
  m[2228] = 2.194041e-024;
  m[-2228] = 2.194041e-024;
  m[3101] = 0.000000e+000;
  m[-3101] = 0.000000e+000;
  m[3103] = 0.000000e+000;
  m[-3103] = 0.000000e+000;
  m[3114] = 1.670589e-023;
  m[-3114] = 1.670589e-023;
  m[3116] = 5.485102e-024;
  m[-3116] = 5.485102e-024;
  m[3118] = 3.656734e-024;
  m[-3118] = 3.656734e-024;
  m[102134] = 4.219309e-023;
  m[-102134] = 4.219309e-023;
  m[3126] = 8.227653e-024;
  m[-3126] = 8.227653e-024;
  m[3128] = 3.291061e-024;
  m[-3128] = 3.291061e-024;
  m[3201] = 0.000000e+000;
  m[-3201] = 0.000000e+000;
  m[3203] = 0.000000e+000;
  m[-3203] = 0.000000e+000;
  m[3214] = 1.828367e-023;
  m[-3214] = 1.828367e-023;
  m[3216] = 5.485102e-024;
  m[-3216] = 5.485102e-024;
  m[3218] = 3.656734e-024;
  m[-3218] = 3.656734e-024;
  m[3224] = 1.838582e-023;
  m[-3224] = 1.838582e-023;
  m[3226] = 5.485102e-024;
  m[-3226] = 5.485102e-024;
  m[3228] = 3.656734e-024;
  m[-3228] = 3.656734e-024;
  m[3303] = 0.000000e+000;
  m[-3303] = 0.000000e+000;
  m[3314] = 6.648608e-023;
  m[-3314] = 6.648608e-023;
  m[3324] = 7.233101e-023;
  m[-3324] = 7.233101e-023;
  m[4101] = 0.000000e+000;
  m[-4101] = 0.000000e+000;
  m[4103] = 0.000000e+000;
  m[-4103] = 0.000000e+000;
  m[4114] = 0.000000e+000;
  m[-4114] = 0.000000e+000;
  m[4201] = 0.000000e+000;
  m[-4201] = 0.000000e+000;
  m[4203] = 0.000000e+000;
  m[-4203] = 0.000000e+000;
  m[4214] = 3.291061e-022;
  m[-4214] = 3.291061e-022;
  m[4224] = 0.000000e+000;
  m[-4224] = 0.000000e+000;
  m[4301] = 0.000000e+000;
  m[-4301] = 0.000000e+000;
  m[4303] = 0.000000e+000;
  m[-4303] = 0.000000e+000;
  m[4314] = 0.000000e+000;
  m[-4314] = 0.000000e+000;
  m[4324] = 0.000000e+000;
  m[-4324] = 0.000000e+000;
  m[4334] = 0.000000e+000;
  m[-4334] = 0.000000e+000;
  m[4403] = 0.000000e+000;
  m[-4403] = 0.000000e+000;
  m[4412] = 3.335641e-013;
  m[-4412] = 3.335641e-013;
  m[4414] = 3.335641e-013;
  m[-4414] = 3.335641e-013;
  m[4422] = 3.335641e-013;
  m[-4422] = 3.335641e-013;
  m[4424] = 3.335641e-013;
  m[-4424] = 3.335641e-013;
  m[4432] = 3.335641e-013;
  m[-4432] = 3.335641e-013;
  m[4434] = 3.335641e-013;
  m[-4434] = 3.335641e-013;
  m[4444] = 3.335641e-013;
  m[-4444] = 3.335641e-013;
  m[5101] = 0.000000e+000;
  m[-5101] = 0.000000e+000;
  m[5103] = 0.000000e+000;
  m[-5103] = 0.000000e+000;
  m[5114] = 0.000000e+000;
  m[-5114] = 0.000000e+000;
  m[5142] = 1.290893e-012;
  m[-5142] = 1.290893e-012;
  m[5201] = 0.000000e+000;
  m[-5201] = 0.000000e+000;
  m[5203] = 0.000000e+000;
  m[-5203] = 0.000000e+000;
  m[5214] = 0.000000e+000;
  m[-5214] = 0.000000e+000;
  m[5224] = 0.000000e+000;
  m[-5224] = 0.000000e+000;
  m[5242] = 1.290893e-012;
  m[-5242] = 1.290893e-012;
  m[5301] = 0.000000e+000;
  m[-5301] = 0.000000e+000;
  m[5303] = 0.000000e+000;
  m[-5303] = 0.000000e+000;
  m[5314] = 0.000000e+000;
  m[-5314] = 0.000000e+000;
  m[5324] = 0.000000e+000;
  m[-5324] = 0.000000e+000;
  m[5334] = 0.000000e+000;
  m[-5334] = 0.000000e+000;
  m[5342] = 1.290893e-012;
  m[-5342] = 1.290893e-012;
  m[5401] = 0.000000e+000;
  m[-5401] = 0.000000e+000;
  m[5403] = 0.000000e+000;
  m[-5403] = 0.000000e+000;
  m[5412] = 1.290893e-012;
  m[-5412] = 1.290893e-012;
  m[5414] = 1.290893e-012;
  m[-5414] = 1.290893e-012;
  m[5422] = 1.290893e-012;
  m[-5422] = 1.290893e-012;
  m[5424] = 1.290893e-012;
  m[-5424] = 1.290893e-012;
  m[5432] = 1.290893e-012;
  m[-5432] = 1.290893e-012;
  m[5434] = 1.290893e-012;
  m[-5434] = 1.290893e-012;
  m[5442] = 1.290893e-012;
  m[-5442] = 1.290893e-012;
  m[5444] = 1.290893e-012;
  m[-5444] = 1.290893e-012;
  m[5503] = 0.000000e+000;
  m[-5503] = 0.000000e+000;
  m[5512] = 1.290893e-012;
  m[-5512] = 1.290893e-012;
  m[5514] = 1.290893e-012;
  m[-5514] = 1.290893e-012;
  m[5522] = 1.290893e-012;
  m[-5522] = 1.290893e-012;
  m[5524] = 1.290893e-012;
  m[-5524] = 1.290893e-012;
  m[5532] = 1.290893e-012;
  m[-5532] = 1.290893e-012;
  m[5534] = 1.290893e-012;
  m[-5534] = 1.290893e-012;
  m[5542] = 1.290893e-012;
  m[-5542] = 1.290893e-012;
  m[5544] = 1.290893e-012;
  m[-5544] = 1.290893e-012;
  m[5554] = 1.290893e-012;
  m[-5554] = 1.290893e-012;
  m[10022] = 0.000000e+000;
  m[10111] = 2.483820e-024;
  m[10113] = 4.635297e-024;
  m[10115] = 2.541360e-024;
  m[10211] = 2.483820e-024;
  m[-10211] = 2.483820e-024;
  m[10213] = 4.635297e-024;
  m[-10213] = 4.635297e-024;
  m[10215] = 2.541360e-024;
  m[-10215] = 2.541360e-024;
  m[9010221] = 1.316424e-023;
  m[10223] = 1.828367e-024;
  m[10225] = 0.000000e+000;
  m[10315] = 3.538775e-024;
  m[-10315] = 3.538775e-024;
  m[10325] = 3.538775e-024;
  m[-10325] = 3.538775e-024;
  m[10331] = 5.265698e-024;
  m[10333] = 0.000000e+000;
  m[10335] = 0.000000e+000;
  m[10443] = 0.000000e+000;
  m[10541] = 0.000000e+000;
  m[-10541] = 0.000000e+000;
  m[10543] = 0.000000e+000;
  m[-10543] = 0.000000e+000;
  m[10551] = 1.000000e+016;
  m[10553] = 0.000000e+000;
  m[10555] = 0.000000e+000;
  m[11112] = 0.000000e+000;
  m[-11112] = 0.000000e+000;
  m[11114] = 2.194041e-024;
  m[-11114] = 2.194041e-024;
  m[11116] = 1.880606e-024;
  m[-11116] = 1.880606e-024;
  m[11212] = 1.880606e-024;
  m[-11212] = 1.880606e-024;
  m[11216] = 0.000000e+000;
  m[-11216] = 0.000000e+000;
  m[12112] = 1.880606e-024;
  m[-12112] = 1.880606e-024;
  m[12114] = 2.194041e-024;
  m[-12114] = 2.194041e-024;
  m[12116] = 5.063171e-024;
  m[-12116] = 5.063171e-024;
  m[12118] = 0.000000e+000;
  m[-12118] = 0.000000e+000;
  m[12122] = 0.000000e+000;
  m[-12122] = 0.000000e+000;
  m[12126] = 1.880606e-024;
  m[-12126] = 1.880606e-024;
  m[12212] = 1.880606e-024;
  m[-12212] = 1.880606e-024;
  m[12214] = 2.194041e-024;
  m[-12214] = 2.194041e-024;
  m[12216] = 5.063171e-024;
  m[-12216] = 5.063171e-024;
  m[12218] = 0.000000e+000;
  m[-12218] = 0.000000e+000;
  m[12222] = 0.000000e+000;
  m[-12222] = 0.000000e+000;
  m[12224] = 2.194041e-024;
  m[-12224] = 2.194041e-024;
  m[12226] = 1.880606e-024;
  m[-12226] = 1.880606e-024;
  m[13112] = 6.582122e-024;
  m[-13112] = 6.582122e-024;
  m[13114] = 1.097020e-023;
  m[-13114] = 1.097020e-023;
  m[13116] = 5.485102e-024;
  m[-13116] = 5.485102e-024;
  m[13122] = 1.316424e-023;
  m[-13122] = 1.316424e-023;
  m[13124] = 1.097020e-023;
  m[-13124] = 1.097020e-023;
  m[13126] = 6.928549e-024;
  m[-13126] = 6.928549e-024;
  m[13212] = 6.582122e-024;
  m[-13212] = 6.582122e-024;
  m[13214] = 1.097020e-023;
  m[-13214] = 1.097020e-023;
  m[13216] = 5.485102e-024;
  m[-13216] = 5.485102e-024;
  m[13222] = 6.582122e-024;
  m[-13222] = 6.582122e-024;
  m[13224] = 1.097020e-023;
  m[-13224] = 1.097020e-023;
  m[13226] = 5.485102e-024;
  m[-13226] = 5.485102e-024;
  m[13314] = 2.742551e-023;
  m[-13314] = 2.742551e-023;
  m[13316] = 0.000000e+000;
  m[-13316] = 0.000000e+000;
  m[13324] = 2.742551e-023;
  m[-13324] = 2.742551e-023;
  m[13326] = 0.000000e+000;
  m[-13326] = 0.000000e+000;
  m[102142] = 1.828367e-022;
  m[-102142] = 1.828367e-022;
  m[14124] = 0.000000e+000;
  m[-14124] = 0.000000e+000;
  m[10221] = 2.194040e-024;
  m[20223] = 2.742551e-023;
  m[20315] = 2.384827e-024;
  m[-20315] = 2.384827e-024;
  m[20325] = 2.384827e-024;
  m[-20325] = 2.384827e-024;
  m[20333] = 1.185968e-023;
  m[20543] = 0.000000e+000;
  m[-20543] = 0.000000e+000;
  m[20553] = 1.000000e+016;
  m[20555] = 0.000000e+000;
  m[21112] = 2.632849e-024;
  m[-21112] = 2.632849e-024;
  m[21114] = 3.291061e-024;
  m[-21114] = 3.291061e-024;
  m[21212] = 2.632849e-024;
  m[-21212] = 2.632849e-024;
  m[21214] = 6.582122e-024;
  m[-21214] = 6.582122e-024;
  m[22112] = 4.388081e-024;
  m[-22112] = 4.388081e-024;
  m[22114] = 3.291061e-024;
  m[-22114] = 3.291061e-024;
  m[22122] = 2.632849e-024;
  m[-22122] = 2.632849e-024;
  m[22124] = 6.582122e-024;
  m[-22124] = 6.582122e-024;
  m[22212] = 4.388081e-024;
  m[-22212] = 4.388081e-024;
  m[22214] = 3.291061e-024;
  m[-22214] = 3.291061e-024;
  m[22222] = 2.632849e-024;
  m[-22222] = 2.632849e-024;
  m[22224] = 3.291061e-024;
  m[-22224] = 3.291061e-024;
  m[23112] = 7.313469e-024;
  m[-23112] = 7.313469e-024;
  m[23114] = 2.991874e-024;
  m[-23114] = 2.991874e-024;
  m[23122] = 4.388081e-024;
  m[-23122] = 4.388081e-024;
  m[23124] = 6.582122e-024;
  m[-23124] = 6.582122e-024;
  m[23126] = 3.291061e-024;
  m[-23126] = 3.291061e-024;
  m[23212] = 7.313469e-024;
  m[-23212] = 7.313469e-024;
  m[23214] = 2.991874e-024;
  m[-23214] = 2.991874e-024;
  m[23222] = 7.313469e-024;
  m[-23222] = 7.313469e-024;
  m[23224] = 2.991874e-024;
  m[-23224] = 2.991874e-024;
  m[23314] = 0.000000e+000;
  m[-23314] = 0.000000e+000;
  m[23324] = 0.000000e+000;
  m[-23324] = 0.000000e+000;
  m[30113] = 2.742551e-024;
  m[30213] = 2.742551e-024;
  m[-30213] = 2.742551e-024;
  m[30223] = 2.991874e-024;
  m[30313] = 2.056913e-024;
  m[-30313] = 2.056913e-024;
  m[30323] = 2.056913e-024;
  m[-30323] = 2.056913e-024;
  m[30343] = 0.000000e+000;
  m[-30343] = 0.000000e+000;
  m[30353] = 0.000000e+000;
  m[-30353] = 0.000000e+000;
  m[30363] = 0.000000e+000;
  m[-30363] = 0.000000e+000;
  m[30411] = 0.000000e+000;
  m[-30411] = 0.000000e+000;
  m[30413] = 0.000000e+000;
  m[-30413] = 0.000000e+000;
  m[30421] = 0.000000e+000;
  m[-30421] = 0.000000e+000;
  m[30423] = 0.000000e+000;
  m[-30423] = 0.000000e+000;
  m[30443] = 2.789035e-023;
  m[30553] = 0.000000e+000;
  m[31114] = 1.880606e-024;
  m[-31114] = 1.880606e-024;
  m[31214] = 4.388081e-024;
  m[-31214] = 4.388081e-024;
  m[32112] = 4.388081e-024;
  m[-32112] = 4.388081e-024;
  m[32114] = 1.880606e-024;
  m[-32114] = 1.880606e-024;
  m[32124] = 4.388081e-024;
  m[-32124] = 4.388081e-024;
  m[32212] = 4.388081e-024;
  m[-32212] = 4.388081e-024;
  m[32214] = 1.880606e-024;
  m[-32214] = 1.880606e-024;
  m[32224] = 1.880606e-024;
  m[-32224] = 1.880606e-024;
  m[33122] = 1.880606e-023;
  m[-33122] = 1.880606e-023;
  m[33314] = 0.000000e+000;
  m[-33314] = 0.000000e+000;
  m[33324] = 0.000000e+000;
  m[-33324] = 0.000000e+000;
  m[41214] = 0.000000e+000;
  m[-41214] = 0.000000e+000;
  m[42112] = 6.582122e-024;
  m[-42112] = 6.582122e-024;
  m[42124] = 0.000000e+000;
  m[-42124] = 0.000000e+000;
  m[42212] = 6.582122e-024;
  m[-42212] = 6.582122e-024;
  m[43122] = 2.194041e-024;
  m[-43122] = 2.194041e-024;
  m[52114] = 0.000000e+000;
  m[-52114] = 0.000000e+000;
  m[52214] = 0.000000e+000;
  m[-52214] = 0.000000e+000;
  m[53122] = 4.388081e-024;
  m[-53122] = 4.388081e-024;
  m[100111] = 1.645531e-024;
  m[100113] = 2.123265e-024;
  m[100211] = 1.645531e-024;
  m[-100211] = 1.645531e-024;
  m[100213] = 2.123265e-024;
  m[-100213] = 2.123265e-024;
  m[100221] = 1.196749e-023;
  m[100223] = 3.871836e-024;
  m[100225] = 0.000000e+000;
  m[100311] = 0.000000e+000;
  m[-100311] = 0.000000e+000;
  m[100313] = 2.837122e-024;
  m[-100313] = 2.837122e-024;
  m[100315] = 0.000000e+000;
  m[-100315] = 0.000000e+000;
  m[100321] = 0.000000e+000;
  m[-100321] = 0.000000e+000;
  m[100323] = 2.837122e-024;
  m[-100323] = 2.837122e-024;
  m[100325] = 0.000000e+000;
  m[-100325] = 0.000000e+000;
  m[100331] = 0.000000e+000;
  m[100333] = 4.388081e-024;
  m[100335] = 3.291061e-024;
  m[100441] = 0.000000e+000;
  m[100551] = 0.000000e+000;
  m[100553] = 1.495937e-020;
  m[100555] = 1.000000e+016;
  m[100557] = 0.000000e+000;
  m[110551] = 1.000000e+016;
  m[110553] = 0.000000e+000;
  m[110555] = 0.000000e+000;
  m[120553] = 1.000000e+016;
  m[120555] = 0.000000e+000;
  m[130553] = 0.000000e+000;
  m[200111] = 3.134344e-024;
  m[200211] = 3.134344e-024;
  m[-200211] = 3.134344e-024;
  m[200551] = 0.000000e+000;
  m[200553] = 2.502708e-020;
  m[200555] = 0.000000e+000;
  m[210551] = 0.000000e+000;
  m[210553] = 0.000000e+000;
  m[220553] = 0.000000e+000;
  m[300553] = 4.701516e-023;
  m[9000221] = 0.000000e+000;
  m[9000443] = 1.265793e-023;
  m[9000553] = 5.983747e-024;
  m[9010443] = 8.438618e-024;
  m[9010553] = 8.331800e-024;
  m[9020221] = 6.038644e-024;
  m[9020443] = 1.530726e-023;
  m[9060225] = 4.388081e-024;
  m[9070225] = 2.056913e-024;
  m[1000001] = 0.000000e+000;
  m[-1000001] = 0.000000e+000;
  m[1000002] = 0.000000e+000;
  m[-1000002] = 0.000000e+000;
  m[1000003] = 0.000000e+000;
  m[-1000003] = 0.000000e+000;
  m[1000004] = 0.000000e+000;
  m[-1000004] = 0.000000e+000;
  m[1000005] = 0.000000e+000;
  m[-1000005] = 0.000000e+000;
  m[1000006] = 0.000000e+000;
  m[-1000006] = 0.000000e+000;
  m[1000011] = 0.000000e+000;
  m[-1000011] = 0.000000e+000;
  m[1000012] = 0.000000e+000;
  m[-1000012] = 0.000000e+000;
  m[1000013] = 0.000000e+000;
  m[-1000013] = 0.000000e+000;
  m[1000014] = 0.000000e+000;
  m[-1000014] = 0.000000e+000;
  m[1000015] = 0.000000e+000;
  m[-1000015] = 0.000000e+000;
  m[1000016] = 0.000000e+000;
  m[-1000016] = 0.000000e+000;
  m[1000021] = 0.000000e+000;
  m[1000022] = 0.000000e+000;
  m[1000023] = 0.000000e+000;
  m[1000024] = 0.000000e+000;
  m[-1000024] = 0.000000e+000;
  m[1000025] = 0.000000e+000;
  m[1000035] = 0.000000e+000;
  m[1000037] = 0.000000e+000;
  m[-1000037] = 0.000000e+000;
  m[1000039] = 0.000000e+000;
  m[2000001] = 0.000000e+000;
  m[-2000001] = 0.000000e+000;
  m[2000002] = 0.000000e+000;
  m[-2000002] = 0.000000e+000;
  m[2000003] = 0.000000e+000;
  m[-2000003] = 0.000000e+000;
  m[2000004] = 0.000000e+000;
  m[-2000004] = 0.000000e+000;
  m[2000005] = 0.000000e+000;
  m[-2000005] = 0.000000e+000;
  m[2000006] = 0.000000e+000;
  m[-2000006] = 0.000000e+000;
  m[2000011] = 0.000000e+000;
  m[-2000011] = 0.000000e+000;
  m[2000012] = 0.000000e+000;
  m[-2000012] = 0.000000e+000;
  m[2000013] = 0.000000e+000;
  m[-2000013] = 0.000000e+000;
  m[2000014] = 0.000000e+000;
  m[-2000014] = 0.000000e+000;
  m[2000015] = 0.000000e+000;
  m[-2000015] = 0.000000e+000;
  m[2000016] = 0.000000e+000;
  m[-2000016] = 0.000000e+000;
  m[3000111] = 0.000000e+000;
  m[3000113] = 0.000000e+000;
  m[3000211] = 0.000000e+000;
  m[-3000211] = 0.000000e+000;
  m[3000213] = 0.000000e+000;
  m[-3000213] = 0.000000e+000;
  m[3000221] = 0.000000e+000;
  m[3000223] = 0.000000e+000;
  m[3000331] = 0.000000e+000;
  m[3100021] = 0.000000e+000;
  m[3100111] = 0.000000e+000;
  m[3100113] = 0.000000e+000;
  m[3200111] = 0.000000e+000;
  m[3200113] = 0.000000e+000;
  m[3300113] = 0.000000e+000;
  m[3400113] = 0.000000e+000;
  m[4000001] = 0.000000e+000;
  m[-4000001] = 0.000000e+000;
  m[4000002] = 0.000000e+000;
  m[-4000002] = 0.000000e+000;
  m[4000011] = 0.000000e+000;
  m[-4000011] = 0.000000e+000;
  m[4000012] = 0.000000e+000;
  m[-4000012] = 0.000000e+000;
  m[5000039] = 0.000000e+000;
  m[9900012] = 0.000000e+000;
  m[9900014] = 0.000000e+000;
  m[9900016] = 0.000000e+000;
  m[9900023] = 0.000000e+000;
  m[9900024] = 0.000000e+000;
  m[-9900024] = 0.000000e+000;
  m[9900041] = 0.000000e+000;
  m[-9900041] = 0.000000e+000;
  m[9900042] = 0.000000e+000;
  m[-9900042] = 0.000000e+000;
  m[1027013000] = 0.000000e+000;
  m[1012006000] = 0.000000e+000;
  m[1063029000] = 0.000000e+000;
  m[1014007000] = 0.000000e+000;
  m[1016008000] = 0.000000e+000;
  m[1028014000] = 0.000000e+000;
  m[1065029000] = 0.000000e+000;
  m[1009004000] = 0.000000e+000;
  m[1019009000] = 0.000000e+000;
  m[1056026000] = 0.000000e+000;
  m[1207082000] = 0.000000e+000;
  m[1208082000] = 0.000000e+000;
  m[1029014000] = 0.000000e+000;
  m[1206082000] = 0.000000e+000;
  m[1054026000] = 0.000000e+000;
  m[1018008000] = 0.000000e+000;
  m[1030014000] = 0.000000e+000;
  m[1057026000] = 0.000000e+000;
  m[1204082000] = 0.000000e+000;
  m[-99000000] = 0.000000e+000;
  m[1028013000] = 0.000000e+000;
  m[1040018000] = 0.000000e+000;
  m[1011005000] = 0.000000e+000;
  m[1012005000] = 0.000000e+000;
  m[1013006000] = 0.000000e+000;
  m[1014006000] = 0.000000e+000;
  m[1052024000] = 0.000000e+000;
  m[1024012000] = 0.000000e+000;
  m[1026012000] = 0.000000e+000;
  m[1027012000] = 0.000000e+000;
  m[1015007000] = 0.000000e+000;
  m[1022010000] = 0.000000e+000;
  m[1058028000] = 0.000000e+000;
  m[1060028000] = 0.000000e+000;
  m[1062028000] = 0.000000e+000;
  m[1064028000] = 0.000000e+000;
  m[1007003000] = 0.000000e+000;
  m[1025012000] = 0.000000e+000;
  m[1053024000] = 0.000000e+000;
  m[1055025000] = 0.000000e+000;
  m[1008004000] = 0.000000e+000;
  m[1010004000] = 0.000000e+000;
  m[1010005000] = 0.000000e+000;
  m[1016007000] = 0.000000e+000;
  m[1017008000] = 0.000000e+000;
  m[1019008000] = 0.000000e+000;
  m[1023010000] = 0.000000e+000;
  m[1024011000] = 0.000000e+000;
  m[1031015000] = 0.000000e+000;
  m[1039017000] = 0.000000e+000;
  m[1040017000] = 0.000000e+000;
  m[1036018000] = 0.000000e+000;
  m[1050024000] = 0.000000e+000;
  m[1054024000] = 0.000000e+000;
  m[1059026000] = 0.000000e+000;
  m[1061028000] = 0.000000e+000;
  m[1063028000] = 0.000000e+000;
  m[1092042000] = 0.000000e+000;
  m[1095042000] = 0.000000e+000;
  m[1096042000] = 0.000000e+000;
  m[1097042000] = 0.000000e+000;
  m[1098042000] = 0.000000e+000;
  m[1100042000] = 0.000000e+000;
  m[1108046000] = 0.000000e+000;

  // Added by hand:
  m[9902210] = 0.000000e+000; //diffractive p-state -> assume no lifetime
  return true;
}

private:

/// @name Histograms
/// @{
Histo1DPtr _h_mult_total;  // full kinematic range
Histo1DPtr _h_mult_eta[5]; // in eta bins
Histo1DPtr _h_mult_pt[5];  // in pT bins
Histo1DPtr _h_dndeta;      // density dn/deta
Histo1DPtr _h_dndpt;       // density dn/dpT
/// @}


/// @name Private variables
double _p_min;
double _pt_min;
double _eta_min;
double _eta_max;
double _maxlft;

/// Count selected events
CounterPtr _sumW;

map<int, double> _partLftMap; // Map <PDGID, PDGLIFETIME>

};

RIVET_DECLARE_PLUGIN(LHCB_2014_I1281685);

} ```