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diff --git a/include/HEJ/utility.hh b/include/HEJ/utility.hh
index 5ad1ce3..96a1961 100644
--- a/include/HEJ/utility.hh
+++ b/include/HEJ/utility.hh
@@ -1,229 +1,238 @@
/**
* \file
* \brief Contains various utilities
*/
#pragma once
#include <algorithm>
#include <cassert>
#include <boost/core/demangle.hpp>
// FastJet Includes
#include "fastjet/PseudoJet.hh"
#include "fastjet/ClusterSequence.hh"
#include "HEJ/PDG_codes.hh"
namespace HEJ{
//! Class representing a particle
struct Particle {
//! particle type
ParticleID type;
//! particle momentum
fastjet::PseudoJet p;
//! get rapidity
double rapidity() const{
return p.rapidity();
}
//! get transverse momentum
double perp() const{
return p.perp();
}
//! get momentum in x direction
double px() const{
return p.px();
}
//! get momentum in y direction
double py() const{
return p.py();
}
//! get momentum in z direction
double pz() const{
return p.pz();
}
//! get energy
double E() const{
return p.E();
}
//! get mass
double m() const{
return p.m();
}
};
//! Functor to compare rapidities
/**
* This can be used whenever a rapidity comparison function is needed,
* for example in many standard library functions.
*
* @see pz_less
*/
struct rapidity_less{
template<class FourVector>
bool operator()(FourVector const & p1, FourVector const & p2){
return p1.rapidity() < p2.rapidity();
}
};
//! Functor to compare momenta in z direction
/**
* This can be used whenever a pz comparison function is needed,
* for example in many standard library functions.
*
* @see rapidity_less
*/
struct pz_less{
template<class FourVector>
bool operator()(FourVector const & p1, FourVector const & p2){
return p1.pz() < p2.pz();
}
};
//! Convert a vector of Particles to a vector of particle momenta
inline
std::vector<fastjet::PseudoJet> to_PseudoJet(
std::vector<Particle> const & v
){
std::vector<fastjet::PseudoJet> result;
for(auto && sp: v) result.emplace_back(sp.p);
return result;
}
//! Check if a particle is a parton, i.e. quark, antiquark, or gluon
inline
bool is_parton(Particle const & p){
return is_parton(p.type);
}
//! Check if a particle is a quark
inline
bool is_quark(Particle const & p){
return is_quark(p.type);
}
//! Check if a particle is an anti-quark
inline
bool is_antiquark(Particle const & p){
return is_antiquark(p.type);
}
//! Check if a particle is a quark or any-quark
inline
bool is_anyquark(Particle const & p){
return is_anyquark(p.type);
}
//! Check if a particle is a photon, W or Z boson
inline bool is_AWZ_boson(Particle const & particle){
return is_AWZ_boson(particle.type);
}
//! Check if a particle is a photon, W, Z, or Higgs boson
inline bool is_AWZH_boson(Particle const & particle){
return is_AWZH_boson(particle.type);
}
//! Extract all partons from a vector of particles
inline
std::vector<Particle> filter_partons(
std::vector<Particle> const & v
){
std::vector<Particle> result;
result.reserve(v.size());
std::copy_if(
begin(v), end(v), std::back_inserter(result),
[](Particle const & p){ return is_parton(p); }
);
return result;
}
//! Create a std::unique_ptr to a T object
/**
* For non-array types this works like std::make_unique,
* which is not available under C++11
*/
template<class T, class... Args>
std::unique_ptr<T> make_unique(Args&&... a){
return std::unique_ptr<T>{new T{std::forward<Args>(a)...}};
}
//! Create an array containing the passed arguments
template<typename T, typename... U>
constexpr
std::array<T, 1 + sizeof...(U)> make_array(T t, U&&... rest){
return {{t, std::forward<U>(rest)...}};
}
inline
std::string join(
std::string const & /* delim */
){
return "";
}
inline
std::string join(
std::string const & /* delim */, std::string const & str
){
return str;
}
//! Join strings with a delimiter
/**
* @param delim Delimiter to be put between consecutive strings
* @param first First string
* @param second Second string
* @param rest Remaining strings
*/
template<typename... Strings>
std::string join(
std::string const & delim,
std::string const & first, std::string const & second,
Strings&&... rest
){
return join(delim, first + delim + second, std::forward<Strings>(rest)...);
}
//! Return the name of the argument's type
template<typename T>
std::string type_string(T&&){
return boost::core::demangle(typeid(T).name());
}
//! Eliminate compiler warnings for unused variables
template<typename... T>
constexpr void ignore(T&&...) {}
//! Check whether two doubles are closer than ep > 0 to each other
inline
bool nearby_ep(double a, double b, double ep){
assert(ep > 0);
return std::abs(a-b) < ep;
}
//! Check whether all components of two PseudoJets are closer than ep to each other
inline
bool nearby_ep(
fastjet::PseudoJet const & pa, fastjet::PseudoJet const & pb,
double ep
){
assert(ep > 0);
for(size_t i = 0; i < 4; ++i){
if(!nearby_ep(pa[i], pb[i], ep)) return false;
}
return true;
}
inline
bool nearby(
fastjet::PseudoJet const & pa, fastjet::PseudoJet const & pb, double const norm = 1.
){
return nearby_ep(pa, pb, 1e-7*norm);
}
+ //! Check whether two rapidities are close
+ inline
+ bool nearby_rap(
+ double rapa, double rapb, double rap
+ ){
+ assert(rap > 0);
+ if(!nearby_ep(rapa, rapb, rap)) return false;
+ return true;
+ }
}
diff --git a/src/Event.cc b/src/Event.cc
index 1caf80f..21744ed 100644
--- a/src/Event.cc
+++ b/src/Event.cc
@@ -1,650 +1,649 @@
#include "HEJ/Event.hh"
#include "HEJ/utility.hh"
namespace HEJ{
namespace{
constexpr int status_in = -1;
constexpr int status_decayed = 2;
constexpr int status_out = 1;
/// @name helper functions to determine event type
//@{
/**
* \brief check if final state valid for HEJ
*
* check if there is at most one photon, W, H, Z in the final state
* and all the rest are quarks or gluons
*/
bool final_state_ok(std::vector<Particle> const & outgoing){
bool has_AWZH_boson = false;
for(auto const & out: outgoing){
if(is_AWZH_boson(out.type)){
if(has_AWZH_boson) return false;
has_AWZH_boson = true;
}
else if(! is_parton(out.type)) return false;
}
return true;
}
template<class Iterator>
Iterator remove_AWZH(Iterator begin, Iterator end){
return std::remove_if(
begin, end, [](Particle const & p){return is_AWZH_boson(p);}
);
}
template<class Iterator>
bool valid_outgoing(Iterator begin, Iterator end){
return std::distance(begin, end) >= 2
&& std::is_sorted(begin, end, rapidity_less{})
&& std::count_if(
begin, end, [](Particle const & s){return is_AWZH_boson(s);}
) < 2;
}
/**
* \brief function which determines if type change is consistent with W emission.
* @param in incoming Particle
* @param out outgoing Particle
*
* Ensures that change type of quark line is possible by a flavour changing
* W emission.
*/
bool is_W_Current(ParticleID in, ParticleID out){
if((in==1 && out==2)||(in==2 && out==1)){
return true;
}
else if((in==-1 && out==-2)||(in==-2 && out==-1)){
return true;
}
else if((in==3 && out==4)||(in==4 && out==3)){
return true;
}
else if((in==-3 && out==-4)||(in==-4 && out==-3)){
return true;
}
else{
return false;
}
}
/**
* \brief checks if particle type remains same from incoming to outgoing
* @param in incoming Particle
* @param out outgoing Particle
*/
bool is_Pure_Current(ParticleID in, ParticleID out){
if(abs(in)<=6 || in==21) return (in==out);
else return false;
}
// @note that this changes the outgoing range!
template<class ConstIterator, class Iterator>
bool is_FKL(
ConstIterator begin_incoming, ConstIterator end_incoming,
Iterator begin_outgoing, Iterator end_outgoing
){
assert(std::distance(begin_incoming, end_incoming) == 2);
assert(std::distance(begin_outgoing, end_outgoing) >= 2);
// One photon, W, H, Z in the final state is allowed.
// Remove it for remaining tests,
end_outgoing = remove_AWZH(begin_outgoing, end_outgoing);
if(std::all_of(
begin_outgoing + 1, end_outgoing - 1,
[](Particle const & p){ return p.type == pid::gluon; })
){
// Test if this is a standard FKL configuration.
if (is_Pure_Current(begin_incoming->type, begin_outgoing->type)
&& is_Pure_Current((end_incoming-1)->type, (end_outgoing-1)->type)){
return true;
}
}
return false;
}
template<class ConstIterator, class Iterator>
bool is_W_FKL(
ConstIterator begin_incoming, ConstIterator end_incoming,
Iterator begin_outgoing, Iterator end_outgoing
){
assert(std::distance(begin_incoming, end_incoming) == 2);
assert(std::distance(begin_outgoing, end_outgoing) >= 2);
// One photon, W, H, Z in the final state is allowed.
// Remove it for remaining tests,
end_outgoing = remove_AWZH(begin_outgoing, end_outgoing);
if(std::all_of(
begin_outgoing + 1, end_outgoing - 1,
[](Particle const & p){ return p.type == pid::gluon; })
){
// Test if this is a standard FKL configuration.
if(is_W_Current(begin_incoming->type, begin_outgoing->type)
&& is_Pure_Current((end_incoming-1)->type, (end_outgoing-1)->type)){
return true;
}
else if(is_Pure_Current(begin_incoming->type, begin_outgoing->type)
&& is_W_Current((end_incoming-1)->type, (end_outgoing-1)->type)){
return true;
}
}
return false;
}
bool is_FKL(
std::array<Particle, 2> const & incoming,
std::vector<Particle> outgoing
){
assert(std::is_sorted(begin(incoming), end(incoming), pz_less{}));
assert(valid_outgoing(begin(outgoing), end(outgoing)));
const auto WEmit = std::find_if(
begin(outgoing), end(outgoing),
[](Particle const & s){ return abs(s.type) == pid::Wp; }
);
if (abs(WEmit->type) == pid::Wp){
return is_W_FKL(
begin(incoming), end(incoming),
begin(outgoing), end(outgoing)
);
}
else{
return is_FKL(
begin(incoming), end(incoming),
begin(outgoing), end(outgoing)
);
}
}
bool has_2_jets(Event const & event){
return event.jets().size() >= 2;
}
/**
* \brief Checks whether event is unordered backwards
* @param ev Event
* @returns Is Event Unordered Backwards
*
* - Checks there is more than 3 constuents in the final state
* - Checks there is more than 3 jets
* - Checks the most backwards parton is a gluon
* - Checks the most forwards jet is not a gluon
* - Checks the rest of the event is FKL
* - Checks the second most backwards is not a different boson
* - Checks the unordered gluon actually forms a jet
*/
bool is_unordered_backward(Event const & ev){
auto const & in = ev.incoming();
auto const & out = ev.outgoing();
assert(std::is_sorted(begin(in), end(in), pz_less{}));
assert(valid_outgoing(begin(out), end(out)));
if(out.size() < 3) return false;
if(ev.jets().size() < 3) return false;
if(in.front().type == pid::gluon) return false;
if(out.front().type != pid::gluon) return false;
// When skipping the unordered emission
// the remainder should be a regular FKL event,
// except that the (new) first outgoing particle must not be a A,W,Z,H.
const auto FKL_begin = next(begin(out));
if(is_AWZH_boson(*FKL_begin)) return false;
if(!is_FKL(in, {FKL_begin, end(out)})) return false;
// check that the unordered gluon forms an extra jet
const auto jets = sorted_by_rapidity(ev.jets());
const auto indices = ev.particle_jet_indices({jets.front()});
return indices[0] >= 0 && indices[1] == -1;
}
/**
* \brief Checks for a forward unordered gluon emission
* @param ev Event
* @returns Is the event a forward unordered emission
*
* \see is_unordered_backward
*/
bool is_unordered_forward(Event const & ev){
auto const & in = ev.incoming();
auto const & out = ev.outgoing();
assert(std::is_sorted(begin(in), end(in), pz_less{}));
assert(valid_outgoing(begin(out), end(out)));
if(out.size() < 3) return false;
if(ev.jets().size() < 3) return false;
if(in.back().type == pid::gluon) return false;
if(out.back().type != pid::gluon) return false;
// When skipping the unordered emission
// the remainder should be a regular FKL event,
// except that the (new) last outgoing particle must not be a A,W,Z,H.
const auto FKL_end = prev(end(out));
if(is_AWZH_boson(*prev(FKL_end))) return false;
if(!is_FKL(in, {begin(out), FKL_end})) return false;
// check that the unordered gluon forms an extra jet
const auto jets = sorted_by_rapidity(ev.jets());
const auto indices = ev.particle_jet_indices({jets.back()});
return indices.back() >= 0 && indices[indices.size()-2] == -1;
}
/**
* \brief Checks for a forward extremal qqx
* @param ev Event
* @returns Is the event a forward extremal qqx event
*
* Checks there is 3 or more than 3 constituents in the final state
* Checks there is 3 or more than 3 jets
* Checks most forwards incoming is gluon
* Checks most extremal particle is not a Higgs (either direction)
* Checks the second most forwards particle is not Higgs boson
* Checks the most forwards parton is a either quark or anti-quark.
* Checks the second most forwards parton is anti-quark or quark.
* Checks the qqbar pair form 2 separate jets.
*/
bool is_Ex_qqxf(Event const & ev){
auto const & in = ev.incoming();
auto const & out = ev.outgoing();
assert(std::is_sorted(begin(in), end(in), pz_less{}));
assert(valid_outgoing(begin(out), end(out)));
int fkl_end=2;
if(out.size() < 3) return false;
if(ev.jets().size() < 3) return false;
if(in.back().type != pid::gluon) return false;
if(out.back().type == pid::Higgs || out.front().type == pid::Higgs
|| out.rbegin()[1].type == pid::Higgs) return false;
// if extremal AWZ
if(is_AWZ_boson(out.back())){ // if extremal AWZ
fkl_end++;
if (is_quark(out.rbegin()[1])){ //if second quark
if (!(is_antiquark(out.rbegin()[2]))) return false;// third must be anti-quark
}
else if (is_antiquark(out.rbegin()[1])){ //if second anti-quark
if (!(is_quark(out.rbegin()[2]))) return false;// third must be quark
}
else return false;
}
else if (is_quark(out.rbegin()[0])){ //if extremal quark
if(is_AWZ_boson(out.rbegin()[1])){ // if second AWZ
fkl_end++;
if (!(is_antiquark(out.rbegin()[2]))) return false;// third must be anti-quark
}
else if (!(is_antiquark(out.rbegin()[1]))) return false;// second must be anti-quark
}
else if (is_antiquark(out.rbegin()[0])){ //if extremal anti-quark
if(is_AWZ_boson(out.rbegin()[1])){ // if second AWZ
fkl_end++;
if (!(is_quark(out.rbegin()[2]))) return false;// third must be quark
}
else if (!(is_quark(out.rbegin()[1]))) return false;// second must be quark
}
else return false;
// When skipping the qqbar
// New last outgoing particle must not be a Higgs
if (out.rbegin()[fkl_end].type == pid::Higgs) return false;
const auto jets = fastjet::sorted_by_rapidity(ev.jets());
const auto indices = ev.particle_jet_indices({jets});
// Ensure qqbar pair are in separate jets
if(indices[indices.size()-2] != indices[indices.size()-1]-1) return false;
// Opposite current should be logical to process
if (is_AWZ_boson(out.front().type)){
return (is_Pure_Current(in.front().type, out[1].type)
|| is_W_Current(in.front().type,out[1].type));
}
else
return (is_Pure_Current(in.front().type, out[0].type)
|| is_W_Current(in.front().type,out[0].type));
}
/**
* \brief Checks for a backward extremal qqx
* @param ev Event
* @returns Is the event a backward extremal qqx event
*
* Checks there is 3 or more than 3 constituents in the final state
* Checks there is 3 or more than 3 jets
* Checks most backwards incoming is gluon
* Checks most extremal particle is not a Higgs (either direction) y
* Checks the second most backwards particle is not Higgs boson y
* Checks the most backwards parton is a either quark or anti-quark. y
* Checks the second most backwards parton is anti-quark or quark. y
* Checks the qqbar pair form 2 separate jets.
*/
bool is_Ex_qqxb(Event const & ev){
auto const & in = ev.incoming();
auto const & out = ev.outgoing();
assert(std::is_sorted(begin(in), end(in), pz_less{}));
assert(valid_outgoing(begin(out), end(out)));
int fkl_start=2;
if(out.size() < 3) return false;
if(ev.jets().size() < 3) return false;
if(in.front().type != pid::gluon) return false;
if(out.back().type == pid::Higgs || out.front().type == pid::Higgs
|| out[1].type == pid::Higgs) return false;
if(is_AWZ_boson(out.front())){ // if extremal AWZ
fkl_start++;
if (is_quark(out[1])){ //if second quark
if (!(is_antiquark(out[2]))) return false;// third must be anti-quark
}
else if (is_antiquark(out[1])){ //if second anti-quark
if (!(is_quark(out[2]))) return false;// third must be quark
}
else return false;
}
else if (is_quark(out[0])){ // if extremal quark
if(is_AWZ_boson(out[1])){ // if second AWZ
fkl_start++;
if (!(is_antiquark(out[2]))) return false;// third must be anti-quark
}
else if (!(is_antiquark(out[1]))) return false;// second must be anti-quark
}
else if (is_antiquark(out[0])){ //if extremal anti-quark
if(is_AWZ_boson(out[1])){ // if second AWZ
fkl_start++;
if (!(is_quark(out[2]))) return false;// third must be quark
}
else if (!(is_quark(out[1]))) return false;// second must be quark
}
else return false;
// When skipping the qqbar
// New last outgoing particle must not be a Higgs.
if (out[fkl_start].type == pid::Higgs) return false;
const auto jets = fastjet::sorted_by_rapidity(ev.jets());
const auto indices = ev.particle_jet_indices({jets});
// Ensure qqbar pair form separate jets.
if(indices[0] != indices[1]-1) return false;
// Other current should be logical to process
if (is_AWZ_boson(out.back())){
return (is_Pure_Current(in.back().type, out.rbegin()[1].type)
|| is_W_Current(in.back().type,out.rbegin()[1].type));
}
else
return (is_Pure_Current(in.back().type, out.rbegin()[0].type)
|| is_W_Current(in.back().type, out.rbegin()[0].type));
}
/**
* \brief Checks for a central qqx
* @param ev Event
* @returns Is the event a central extremal qqx event
*
* Checks there is 4 or more than 4 constuents in the final state
* Checks there is 4 or more than 4 jets
* Checks most extremal particle is not a Higgs (either direction) y
* Checks for a central quark in the outgoing states
* Checks for adjacent anti-quark parton. (allowing for AWZ boson emission between)
* Checks external currents are logically sound.
*/
bool is_Mid_qqx(Event const & ev){
auto const & in = ev.incoming();
auto const & out = ev.outgoing();
assert(std::is_sorted(begin(in), end(in), pz_less{}));
assert(valid_outgoing(begin(out), end(out)));
if(out.size() < 4) return false;
if(ev.jets().size() < 4) return false;
if(out.back().type == pid::Higgs || out.front().type == pid::Higgs)
return false;
size_t start_FKL=0;
size_t end_FKL=0;
if (is_AWZ_boson(out.back())){
end_FKL++;
}
if (is_AWZ_boson(out.front())){
start_FKL++;
}
if ((is_Pure_Current(in.back().type,out.rbegin()[end_FKL].type)
&& is_Pure_Current(in.front().type,out[start_FKL].type))){
//nothing to do
}
else if (is_W_Current(in.back().type,out.rbegin()[end_FKL].type)
&& is_Pure_Current(in.front().type,out[start_FKL].type)){
//nothing to do
}
else if (!(is_Pure_Current(in.back().type,out.rbegin()[end_FKL].type)
&& is_W_Current(in.front().type,out[start_FKL].type))){
return false;
}
- for(size_t i=1+start_FKL; i<out.size()-1-end_FKL;i++){
- if (is_quark(out[i])){
- if ((is_antiquark(out[i-1]) && i!=1)
- || (is_antiquark(out[i+1]) && i!=out.size()-1-end_FKL))
- return true;
- else if (is_AWZ_boson(out[i-1]) && (is_antiquark(out[i-2]) && i!=2) )
- return true;
- else if (is_AWZ_boson(out[i+1]) && (is_antiquark(out[i+2]) && i!=out.size()-2) )
- return true;
+ const auto jets = fastjet::sorted_by_rapidity(ev.jets());
+ const auto indices = ev.particle_jet_indices({jets});
+ auto const out_partons = filter_partons(out);
+
+ for (size_t i = 1; i<out_partons.size()-2; i++){
+ if ((is_quark(out_partons[i]) && (is_antiquark(out_partons[i+1])))
+ || (is_antiquark(out_partons[i]) && (is_quark(out_partons[i+1])))){
+ return (indices[i+1] == indices[i]+1 && indices[i] != -1);
}
}
return false;
}
using event_type::EventType;
EventType classify(Event const & ev){
if(! final_state_ok(ev.outgoing()))
return EventType::bad_final_state;
if(! has_2_jets(ev))
return EventType::no_2_jets;
if(is_FKL(ev.incoming(), ev.outgoing()))
return EventType::FKL;
if(is_unordered_backward(ev))
return EventType::unordered_backward;
if(is_unordered_forward(ev))
return EventType::unordered_forward;
if(is_Ex_qqxb(ev))
return EventType::extremal_qqxb;
if(is_Ex_qqxf(ev))
return EventType::extremal_qqxf;
if(is_Mid_qqx(ev))
return EventType::central_qqx;
return EventType::nonHEJ;
}
//@}
Particle extract_particle(LHEF::HEPEUP const & hepeup, int i){
return Particle{
static_cast<ParticleID>(hepeup.IDUP[i]),
fastjet::PseudoJet{
hepeup.PUP[i][0], hepeup.PUP[i][1],
hepeup.PUP[i][2], hepeup.PUP[i][3]
}
};
}
bool is_decay_product(std::pair<int, int> const & mothers){
if(mothers.first == 0) return false;
return mothers.second == 0 || mothers.first == mothers.second;
}
} // namespace anonymous
UnclusteredEvent::UnclusteredEvent(LHEF::HEPEUP const & hepeup):
central(EventParameters{
hepeup.scales.mur, hepeup.scales.muf, hepeup.weight()
})
{
size_t in_idx = 0;
for (int i = 0; i < hepeup.NUP; ++i) {
// skip decay products
// we will add them later on, but we have to ensure that
// the decayed particle is added before
if(is_decay_product(hepeup.MOTHUP[i])) continue;
auto particle = extract_particle(hepeup, i);
// needed to identify mother particles for decay products
particle.p.set_user_index(i+1);
if(hepeup.ISTUP[i] == status_in){
if(in_idx > incoming.size()) {
throw std::invalid_argument{
"Event has too many incoming particles"
};
}
incoming[in_idx++] = std::move(particle);
}
else outgoing.emplace_back(std::move(particle));
}
std::sort(
begin(incoming), end(incoming),
[](Particle o1, Particle o2){return o1.p.pz()<o2.p.pz();}
);
std::sort(begin(outgoing), end(outgoing), rapidity_less{});
// add decay products
for (int i = 0; i < hepeup.NUP; ++i) {
if(!is_decay_product(hepeup.MOTHUP[i])) continue;
const int mother_id = hepeup.MOTHUP[i].first;
const auto mother = std::find_if(
begin(outgoing), end(outgoing),
[mother_id](Particle const & particle){
return particle.p.user_index() == mother_id;
}
);
if(mother == end(outgoing)){
throw std::invalid_argument{"invalid decay product parent"};
}
const int mother_idx = std::distance(begin(outgoing), mother);
assert(mother_idx >= 0);
decays[mother_idx].emplace_back(extract_particle(hepeup, i));
}
}
Event::Event(
UnclusteredEvent ev,
fastjet::JetDefinition const & jet_def, double min_jet_pt
):
ev_{std::move(ev)},
cs_{to_PseudoJet(filter_partons(ev_.outgoing)), jet_def},
min_jet_pt_{min_jet_pt}
{
type_ = classify(*this);
}
std::vector<fastjet::PseudoJet> Event::jets() const{
return cs_.inclusive_jets(min_jet_pt_);
}
/**
* \brief Returns the invarient mass of the event
* @param ev Event
* @returns s hat
*
* Makes use of the FastJet PseudoJet function m2().
* Applies this function to the sum of the incoming partons.
*/
double shat(Event const & ev){
return (ev.incoming()[0].p + ev.incoming()[1].p).m2();
}
namespace{
// colour flow according to Les Houches standard
// TODO: stub
std::vector<std::pair<int, int>> colour_flow(
std::array<Particle, 2> const & incoming,
std::vector<Particle> const & outgoing
){
std::vector<std::pair<int, int>> result(
incoming.size() + outgoing.size()
);
for(auto & col: result){
col = std::make_pair(-1, -1);
}
return result;
}
}
LHEF::HEPEUP to_HEPEUP(Event const & event, LHEF::HEPRUP * heprup){
LHEF::HEPEUP result;
result.heprup = heprup;
result.weights = {{event.central().weight, nullptr}};
for(auto const & var: event.variations()){
result.weights.emplace_back(var.weight, nullptr);
}
size_t num_particles = event.incoming().size() + event.outgoing().size();
for(auto const & decay: event.decays()) num_particles += decay.second.size();
result.NUP = num_particles;
// the following entries are pretty much meaningless
result.IDPRUP = event.type()+1; // event ID
result.AQEDUP = 1./128.; // alpha_EW
//result.AQCDUP = 0.118 // alpha_QCD
// end meaningless part
result.XWGTUP = event.central().weight;
result.SCALUP = event.central().muf;
result.scales.muf = event.central().muf;
result.scales.mur = event.central().mur;
result.scales.SCALUP = event.central().muf;
result.pdfinfo.p1 = event.incoming().front().type;
result.pdfinfo.p2 = event.incoming().back().type;
result.pdfinfo.scale = event.central().muf;
for(Particle const & in: event.incoming()){
result.IDUP.emplace_back(in.type);
result.ISTUP.emplace_back(status_in);
result.PUP.push_back({in.p[0], in.p[1], in.p[2], in.p[3], in.p.m()});
result.MOTHUP.emplace_back(0, 0);
}
for(size_t i = 0; i < event.outgoing().size(); ++i){
Particle const & out = event.outgoing()[i];
result.IDUP.emplace_back(out.type);
const int status = event.decays().count(i)?status_decayed:status_out;
result.ISTUP.emplace_back(status);
result.PUP.push_back({out.p[0], out.p[1], out.p[2], out.p[3], out.p.m()});
result.MOTHUP.emplace_back(1, 2);
}
result.ICOLUP = colour_flow(
event.incoming(), filter_partons(event.outgoing())
);
if(result.ICOLUP.size() < num_particles){
const size_t AWZH_boson_idx = std::find_if(
begin(event.outgoing()), end(event.outgoing()),
[](Particle const & s){ return is_AWZH_boson(s); }
) - begin(event.outgoing()) + event.incoming().size();
assert(AWZH_boson_idx <= result.ICOLUP.size());
result.ICOLUP.insert(
begin(result.ICOLUP) + AWZH_boson_idx,
std::make_pair(0,0)
);
}
for(auto const & decay: event.decays()){
for(auto const out: decay.second){
result.IDUP.emplace_back(out.type);
result.ISTUP.emplace_back(status_out);
result.PUP.push_back({out.p[0], out.p[1], out.p[2], out.p[3], out.p.m()});
const size_t mother_idx = 1 + event.incoming().size() + decay.first;
result.MOTHUP.emplace_back(mother_idx, mother_idx);
result.ICOLUP.emplace_back(0,0);
}
}
assert(result.ICOLUP.size() == num_particles);
static constexpr double unknown_spin = 9.; //per Les Houches accord
result.VTIMUP = std::vector<double>(num_particles, unknown_spin);
result.SPINUP = result.VTIMUP;
return result;
}
}
diff --git a/src/PhaseSpacePoint.cc b/src/PhaseSpacePoint.cc
index c093ceb..d10f254 100644
--- a/src/PhaseSpacePoint.cc
+++ b/src/PhaseSpacePoint.cc
@@ -1,595 +1,602 @@
#include "HEJ/PhaseSpacePoint.hh"
#include <random>
#include <CLHEP/Random/Randomize.h>
#include <CLHEP/Random/RanluxEngine.h>
#include "HEJ/Constants.hh"
#include "HEJ/resummation_jet.hh"
#include "HEJ/utility.hh"
#include "HEJ/kinematics.hh"
namespace HEJ{
namespace {
constexpr int max_jet_user_idx = PhaseSpacePoint::ng_max;
bool is_nonjet_parton(fastjet::PseudoJet const & parton){
assert(parton.user_index() != -1);
return parton.user_index() > max_jet_user_idx;
}
bool is_jet_parton(fastjet::PseudoJet const & parton){
assert(parton.user_index() != -1);
return parton.user_index() <= max_jet_user_idx;
}
// user indices for partons with extremal rapidity
constexpr int qqxb_idx = -7;
constexpr int qqxf_idx = -6;
constexpr int unob_idx = -5;
constexpr int unof_idx = -4;
constexpr int backward_FKL_idx = -3;
constexpr int forward_FKL_idx = -2;
}
namespace {
double estimate_ng_mean(std::vector<fastjet::PseudoJet> const & Born_jets){
const double delta_y =
Born_jets.back().rapidity() - Born_jets.front().rapidity();
assert(delta_y > 0);
// Formula derived from fit in arXiv:1805.04446 (see Fig. 2)
return 0.975052*delta_y;
}
}
std::vector<fastjet::PseudoJet> PhaseSpacePoint::cluster_jets(
std::vector<fastjet::PseudoJet> const & partons
) const{
fastjet::ClusterSequence cs(partons, param_.jet_param.def);
return cs.inclusive_jets(param_.jet_param.min_pt);
}
bool PhaseSpacePoint::pass_resummation_cuts(
std::vector<fastjet::PseudoJet> const & jets
) const{
return cluster_jets(jets).size() == jets.size();
}
int PhaseSpacePoint::sample_ng(std::vector<fastjet::PseudoJet> const & Born_jets){
const double ng_mean = estimate_ng_mean(Born_jets);
std::poisson_distribution<int> dist(ng_mean);
const int ng = dist(ran_.get());
assert(ng >= 0);
assert(ng < ng_max);
weight_ *= std::tgamma(ng + 1)*std::exp(ng_mean)*std::pow(ng_mean, -ng);
return ng;
}
void PhaseSpacePoint::copy_AWZH_boson_from(Event const & event){
auto const & from = event.outgoing();
const auto AWZH_boson = std::find_if(
begin(from), end(from),
[](Particle const & p){ return is_AWZH_boson(p); }
);
if(AWZH_boson == end(from)) return;
auto insertion_point = std::lower_bound(
begin(outgoing_), end(outgoing_), *AWZH_boson, rapidity_less{}
);
outgoing_.insert(insertion_point, *AWZH_boson);
// copy decay products
const int idx = std::distance(begin(from), AWZH_boson);
assert(idx >= 0);
const auto decay_it = event.decays().find(idx);
if(decay_it != end(event.decays())){
const int new_idx = std::distance(begin(outgoing_), insertion_point);
assert(new_idx >= 0);
assert(outgoing_[new_idx].type == AWZH_boson->type);
decays_.emplace(new_idx, decay_it->second);
}
assert(std::is_sorted(begin(outgoing_), end(outgoing_), rapidity_less{}));
}
//! \brief relabels qqx-pair with its PDG IDs.
//*@param ev Born Event
//
// This function will label the qqx pair in a qqx event back to
// their original types from the input event.
- // @TODO: Central qqx only works with 4j input and not higher!
void PhaseSpacePoint::label_qqx(Event const & event){
auto const & bornout = event.outgoing();
const auto backquark = std::find_if(
begin(bornout) + 1 - ((qqxb_)?1:0), end(bornout) - 1 + ((qqxf_)?1:0) ,
[](Particle const & s){ return (s.type != pid::gluon && is_parton(s.type)); }
);
- if(backquark == end(bornout)) {
- weight_=0;
- return;
- }
+ assert(backquark->type !=pid::gluon);
+ if(backquark == end(bornout) || (backquark+1)->type==pid::gluon) weight_= 0;
+
auto partons = to_PseudoJet(filter_partons(outgoing_));
fastjet::ClusterSequence cs(partons, event.jet_def());
const auto jets = fastjet::sorted_by_rapidity(cs.inclusive_jets(event.min_jet_pt()));
assert(jets.size() >= (3u + qqxmid_));
- const auto indices = cs.particle_jet_indices({jets});
- int pqjet = 0 + qqxmid_ + qqxf_*(jets.size()-2);
- bool jetsadjacent = false;
+ const auto indices = cs.particle_jet_indices({jets});
assert(partons.size() == indices.size());
- for (size_t i = 0; i<indices.size()-1; i++){
- if (indices[i]==(pqjet) && indices[i+1] == pqjet+1){
- outgoing_.at(i).type = backquark->type;
- outgoing_.at(i+1).type = (backquark+1)->type;
- jetsadjacent = true;
- break;
+
+ int qpart=0;
+ // Find Parton in res event closest to most backward qqx jet in born
+ for (size_t i=0; i<indices.size(); i++){
+ if( (indices[i] != -1) && indices[i]!=indices[i+1]
+ && nearby_rap(backquark->rapidity(), partons[i].rapidity(), 0.1)){
+ qpart=i;
}
}
- if (!jetsadjacent) weight_=0;
+
+ if (indices[qpart] == -1) weight_= 0;
+ else if (indices[qpart] == 0 && (!qqxb_)) weight_=0;
+ else if (indices[qpart] == signed(jets.size()-2) && (!qqxf_)) weight_=0;
+
+ // Ensure qqx in separate jets and adjacent in rapidity
+ if (indices[qpart] == indices[qpart+1]-1){
+ outgoing_.at(qpart).type = backquark->type;
+ outgoing_.at(qpart+1).type = (backquark+1)->type;
+ }
+ else weight_=0;
assert(std::is_sorted(begin(outgoing_), end(outgoing_), rapidity_less{}));
}
PhaseSpacePoint::PhaseSpacePoint(
Event const & ev, PhaseSpacePointConfig conf, HEJ::RNG & ran
):
unob_{ev.type() == event_type::unob},
unof_{ev.type() == event_type::unof},
qqxb_{ev.type() == event_type::qqxexb},
qqxf_{ev.type() == event_type::qqxexf},
qqxmid_{ev.type() == event_type::qqxmid},
param_{std::move(conf)},
ran_{ran}
{
weight_ = 1;
const auto Born_jets = sorted_by_rapidity(ev.jets());
const int ng = sample_ng(Born_jets);
weight_ /= std::tgamma(ng + 1);
const int ng_jets = sample_ng_jets(ng, Born_jets);
std::vector<fastjet::PseudoJet> out_partons = gen_non_jet(
ng - ng_jets, CMINPT, param_.jet_param.min_pt
);
const auto qperp = std::accumulate(
begin(out_partons), end(out_partons),
fastjet::PseudoJet{}
);
const auto jets = reshuffle(Born_jets, qperp);
if(weight_ == 0.) return;
if(! pass_resummation_cuts(jets)){
weight_ = 0.;
return;
}
std::vector<fastjet::PseudoJet> jet_partons = split(jets, ng_jets);
if(weight_ == 0.) return;
rescale_rapidities(
out_partons,
most_backward_FKL(jet_partons).rapidity(),
most_forward_FKL(jet_partons).rapidity()
);
if(! cluster_jets(out_partons).empty()){
weight_ = 0.;
return;
}
std::sort(begin(out_partons), end(out_partons), rapidity_less{});
assert(
std::is_sorted(begin(jet_partons), end(jet_partons), rapidity_less{})
);
const auto first_jet_parton = out_partons.insert(
end(out_partons), begin(jet_partons), end(jet_partons)
);
std::inplace_merge(
begin(out_partons), first_jet_parton, end(out_partons), rapidity_less{}
);
if(! jets_ok(Born_jets, out_partons)){
weight_ = 0.;
return;
}
weight_ *= phase_space_normalisation(Born_jets.size(), out_partons.size());
outgoing_.reserve(out_partons.size() + 1); // one slot for possible A, W, Z, H
for(auto & p: out_partons){
outgoing_.emplace_back(Particle{pid::gluon, std::move(p)});
}
most_backward_FKL(outgoing_).type = ev.incoming().front().type;
most_forward_FKL(outgoing_).type = ev.incoming().back().type;
if(qqxmid_||qqxb_||qqxf_){
label_qqx(ev);
}
copy_AWZH_boson_from(ev);
assert(!outgoing_.empty());
reconstruct_incoming(ev.incoming());
}
std::vector<fastjet::PseudoJet> PhaseSpacePoint::gen_non_jet(
int count, double ptmin, double ptmax
){
// heuristic parameters for pt sampling
const double ptpar = 1.3 + count/5.;
const double temp1 = atan((ptmax - ptmin)/ptpar);
std::vector<fastjet::PseudoJet> partons(count);
for(size_t i = 0; i < (size_t) count; ++i){
const double r1 = ran_.get().flat();
const double pt = ptmin + ptpar*tan(r1*temp1);
const double temp2 = cos(r1*temp1);
const double phi = 2*M_PI*ran_.get().flat();
weight_ *= 2.0*M_PI*pt*ptpar*temp1/(temp2*temp2);
// we don't know the allowed rapidity span yet,
// set a random value to be rescaled later on
const double y = ran_.get().flat();
partons[i].reset_PtYPhiM(pt, y, phi);
// Set user index higher than any jet-parton index
// in order to assert that these are not inside jets
partons[i].set_user_index(i + 1 + ng_max);
assert(ptmin-1e-5 <= partons[i].pt() && partons[i].pt() <= ptmax+1e-5);
}
assert(std::all_of(partons.cbegin(), partons.cend(), is_nonjet_parton));
return partons;
}
void PhaseSpacePoint::rescale_rapidities(
std::vector<fastjet::PseudoJet> & partons,
double ymin, double ymax
){
constexpr double ep = 1e-7;
for(auto & parton: partons){
assert(0 <= parton.rapidity() && parton.rapidity() <= 1);
const double dy = ymax - ymin - 2*ep;
const double y = ymin + ep + dy*parton.rapidity();
parton.reset_momentum_PtYPhiM(parton.pt(), y, parton.phi());
weight_ *= dy;
assert(ymin <= parton.rapidity() && parton.rapidity() <= ymax);
}
}
namespace {
template<typename T, typename... Rest>
auto min(T const & a, T const & b, Rest&&... r) {
using std::min;
return min(a, min(b, std::forward<Rest>(r)...));
}
}
double PhaseSpacePoint::probability_in_jet(
std::vector<fastjet::PseudoJet> const & Born_jets
) const{
assert(std::is_sorted(begin(Born_jets), end(Born_jets), rapidity_less{}));
assert(Born_jets.size() >= 2);
const double dy =
Born_jets.back().rapidity() - Born_jets.front().rapidity();
const double R = param_.jet_param.def.R();
const int njets = Born_jets.size();
const double p_J_y_large = (njets-1)*R*R/(2.*dy);
const double p_J_y0 = njets*R/M_PI;
return min(p_J_y_large, p_J_y0, 1.);
}
int PhaseSpacePoint::sample_ng_jets(
int ng, std::vector<fastjet::PseudoJet> const & Born_jets
){
const double p_J = probability_in_jet(Born_jets);
std::binomial_distribution<> bin_dist(ng, p_J);
const int ng_J = bin_dist(ran_.get());
weight_ *= std::pow(p_J, -ng_J)*std::pow(1 - p_J, ng_J - ng);
return ng_J;
}
std::vector<fastjet::PseudoJet> PhaseSpacePoint::reshuffle(
std::vector<fastjet::PseudoJet> const & Born_jets,
fastjet::PseudoJet const & q
){
if(q == fastjet::PseudoJet{0, 0, 0, 0}) return Born_jets;
const auto jets = resummation_jet_momenta(Born_jets, q);
if(jets.empty()){
weight_ = 0;
return {};
}
// additional Jacobian to ensure Born integration over delta gives 1
weight_ *= resummation_jet_weight(Born_jets, q);
return jets;
}
std::vector<int> PhaseSpacePoint::distribute_jet_partons(
int ng_jets, std::vector<fastjet::PseudoJet> const & jets
){
size_t first_valid_jet = 0;
size_t num_valid_jets = jets.size();
const double R_eff = 5./3.*param_.jet_param.def.R();
// if there is an unordered jet too far away from the FKL jets
// then extra gluon constituents of the unordered jet would
// violate the FKL rapidity ordering
if((unob_||qqxb_) && jets[0].delta_R(jets[1]) > R_eff){
++first_valid_jet;
--num_valid_jets;
}
else if((unof_||qqxf_) && jets[jets.size()-1].delta_R(jets[jets.size()-2]) > R_eff){
--num_valid_jets;
}
std::vector<int> np(jets.size(), 1);
for(int i = 0; i < ng_jets; ++i){
++np[first_valid_jet + ran_.get().flat() * num_valid_jets];
}
weight_ *= std::pow(num_valid_jets, ng_jets);
return np;
}
#ifndef NDEBUG
namespace{
bool tagged_FKL_backward(
std::vector<fastjet::PseudoJet> const & jet_partons
){
return std::find_if(
begin(jet_partons), end(jet_partons),
[](fastjet::PseudoJet const & p){
return p.user_index() == backward_FKL_idx;
}
) != end(jet_partons);
}
bool tagged_FKL_forward(
std::vector<fastjet::PseudoJet> const & jet_partons
){
// the most forward FKL parton is most likely near the end of jet_partons;
// start search from there
return std::find_if(
jet_partons.rbegin(), jet_partons.rend(),
[](fastjet::PseudoJet const & p){
return p.user_index() == forward_FKL_idx;
}
) != jet_partons.rend();
}
bool tagged_FKL_extremal(
std::vector<fastjet::PseudoJet> const & jet_partons
){
return tagged_FKL_backward(jet_partons) && tagged_FKL_forward(jet_partons);
}
} // namespace anonymous
#endif
std::vector<fastjet::PseudoJet> PhaseSpacePoint::split(
std::vector<fastjet::PseudoJet> const & jets,
int ng_jets
){
return split(jets, distribute_jet_partons(ng_jets, jets));
}
bool PhaseSpacePoint::pass_extremal_cuts(
fastjet::PseudoJet const & ext_parton,
fastjet::PseudoJet const & jet
) const{
if(ext_parton.pt() < param_.min_extparton_pt) return false;
return (ext_parton - jet).pt()/jet.pt() < param_.max_ext_soft_pt_fraction;
}
std::vector<fastjet::PseudoJet> PhaseSpacePoint::split(
std::vector<fastjet::PseudoJet> const & jets,
std::vector<int> const & np
){
assert(! jets.empty());
assert(jets.size() == np.size());
assert(pass_resummation_cuts(jets));
const size_t most_backward_FKL_idx = 0 + unob_ + qqxb_;
const size_t most_forward_FKL_idx = jets.size() - 1 - unof_ - qqxf_;
const auto & jet = param_.jet_param;
const JetSplitter jet_splitter{jet.def, jet.min_pt, ran_};
std::vector<fastjet::PseudoJet> jet_partons;
// randomly distribute jet gluons among jets
for(size_t i = 0; i < jets.size(); ++i){
auto split_res = jet_splitter.split(jets[i], np[i]);
weight_ *= split_res.weight;
if(weight_ == 0) return {};
assert(
std::all_of(
begin(split_res.constituents), end(split_res.constituents),
is_jet_parton
)
);
const auto first_new_parton = jet_partons.insert(
end(jet_partons),
begin(split_res.constituents), end(split_res.constituents)
);
// mark uno and extremal FKL emissions here so we can check
// their position once all emissions are generated
auto extremal = end(jet_partons);
if (i == most_backward_FKL_idx){ //FKL backward emission
extremal = std::min_element(
first_new_parton, end(jet_partons), rapidity_less{}
);
extremal->set_user_index(backward_FKL_idx);
}
else if(((unob_ || qqxb_) && i == 0)){
// unordered/qqxb
extremal = std::min_element(
first_new_parton, end(jet_partons), rapidity_less{}
);
extremal->set_user_index((unob_)?unob_idx:qqxb_idx);
}
else if (i == most_forward_FKL_idx){
extremal = std::max_element(
first_new_parton, end(jet_partons), rapidity_less{}
);
extremal->set_user_index(forward_FKL_idx);
}
else if(((unof_ || qqxf_) && i == jets.size() - 1)){
// unordered/qqxf
extremal = std::max_element(
first_new_parton, end(jet_partons), rapidity_less{}
);
extremal->set_user_index((unof_)?unof_idx:qqxf_idx);
}
if(
extremal != end(jet_partons)
&& !pass_extremal_cuts(*extremal, jets[i])
){
weight_ = 0;
return {};
}
}
assert(tagged_FKL_extremal(jet_partons));
std::sort(begin(jet_partons), end(jet_partons), rapidity_less{});
if(
!extremal_ok(jet_partons)
|| !split_preserved_jets(jets, jet_partons)
){
weight_ = 0.;
return {};
}
return jet_partons;
}
bool PhaseSpacePoint::extremal_ok(
std::vector<fastjet::PseudoJet> const & partons
) const{
assert(std::is_sorted(begin(partons), end(partons), rapidity_less{}));
if(unob_ && partons.front().user_index() != unob_idx) return false;
if(unof_ && partons.back().user_index() != unof_idx) return false;
if(qqxb_ && partons.front().user_index() != qqxb_idx) return false;
if(qqxf_ && partons.back().user_index() != qqxf_idx) return false;
return
most_backward_FKL(partons).user_index() == backward_FKL_idx
&& most_forward_FKL(partons).user_index() == forward_FKL_idx;
}
bool PhaseSpacePoint::split_preserved_jets(
std::vector<fastjet::PseudoJet> const & jets,
std::vector<fastjet::PseudoJet> const & jet_partons
) const{
assert(std::is_sorted(begin(jets), end(jets), rapidity_less{}));
const auto split_jets = sorted_by_rapidity(cluster_jets(jet_partons));
// this can happen if two overlapping jets
// are both split into more than one parton
if(split_jets.size() != jets.size()) return false;
for(size_t i = 0; i < split_jets.size(); ++i){
// this can happen if there are two overlapping jets
// and a parton is assigned to the "wrong" jet
if(!nearby_ep(jets[i].rapidity(), split_jets[i].rapidity(), 1e-2)){
return false;
}
}
return true;
}
template<class Particle>
Particle const & PhaseSpacePoint::most_backward_FKL(
std::vector<Particle> const & partons
) const{
return partons[0 + unob_ + qqxb_];
}
template<class Particle>
Particle const & PhaseSpacePoint::most_forward_FKL(
std::vector<Particle> const & partons
) const{
const size_t idx = partons.size() - 1 - unof_ - qqxf_;
assert(idx < partons.size());
return partons[idx];
}
template<class Particle>
Particle & PhaseSpacePoint::most_backward_FKL(
std::vector<Particle> & partons
) const{
return partons[0 + unob_ + qqxb_];
}
template<class Particle>
Particle & PhaseSpacePoint::most_forward_FKL(
std::vector<Particle> & partons
) const{
const size_t idx = partons.size() - 1 - unof_ - qqxf_;
assert(idx < partons.size());
return partons[idx];
}
namespace {
bool contains_idx(
fastjet::PseudoJet const & jet, fastjet::PseudoJet const & parton
){
auto const & constituents = jet.constituents();
const int idx = parton.user_index();
return std::find_if(
begin(constituents), end(constituents),
[idx](fastjet::PseudoJet const & con){return con.user_index() == idx;}
) != end(constituents);
}
}
/**
* final jet test:
* - number of jets must match Born kinematics
* - no partons designated as nonjet may end up inside jets
* - all other outgoing partons *must* end up inside jets
* - the extremal (in rapidity) partons must be inside the extremal jets
* - rapidities must be the same (by construction)
*/
bool PhaseSpacePoint::jets_ok(
std::vector<fastjet::PseudoJet> const & Born_jets,
std::vector<fastjet::PseudoJet> const & partons
) const{
fastjet::ClusterSequence cs(partons, param_.jet_param.def);
const auto jets = sorted_by_rapidity(cs.inclusive_jets(param_.jet_param.min_pt));
if(jets.size() != Born_jets.size()) return false;
int in_jet = 0;
for(size_t i = 0; i < jets.size(); ++i){
assert(jets[i].has_constituents());
for(auto && parton: jets[i].constituents()){
if(is_nonjet_parton(parton)) return false;
}
in_jet += jets[i].constituents().size();
}
const int expect_in_jet = std::count_if(
partons.cbegin(), partons.cend(), is_jet_parton
);
if(in_jet != expect_in_jet) return false;
// note that PseudoJet::contains does not work here
if(! (
contains_idx(most_backward_FKL(jets), most_backward_FKL(partons))
&& contains_idx(most_forward_FKL(jets), most_forward_FKL(partons))
)) return false;
if(unob_ && !contains_idx(jets.front(), partons.front())) return false;
if(unof_ && !contains_idx(jets.back(), partons.back())) return false;
for(size_t i = 0; i < jets.size(); ++i){
assert(nearby_ep(jets[i].rapidity(), Born_jets[i].rapidity(), 1e-2));
}
return true;
}
void PhaseSpacePoint::reconstruct_incoming(
std::array<Particle, 2> const & Born_incoming
){
std::tie(incoming_[0].p, incoming_[1].p) = incoming_momenta(outgoing_);
for(size_t i = 0; i < incoming_.size(); ++i){
incoming_[i].type = Born_incoming[i].type;
}
assert(momentum_conserved());
}
double PhaseSpacePoint::phase_space_normalisation(
int num_Born_jets, int num_out_partons
) const{
return pow(16*pow(M_PI,3), num_Born_jets - num_out_partons);
}
bool PhaseSpacePoint::momentum_conserved() const{
fastjet::PseudoJet diff;
for(auto const & in: incoming()) diff += in.p;
const double norm = diff.E();
for(auto const & out: outgoing()) diff -= out.p;
return nearby(diff, fastjet::PseudoJet{}, norm);
}
} //namespace HEJ

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