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	diff --git a/FixedOrderGen/include/PhaseSpacePoint.hh b/FixedOrderGen/include/PhaseSpacePoint.hh
	index 1b08985..0a19159 100644
	--- a/FixedOrderGen/include/PhaseSpacePoint.hh
	+++ b/FixedOrderGen/include/PhaseSpacePoint.hh
	@@ -1,323 +1,319 @@
	/** \file PhaseSpacePoint.hh
	* \brief Contains the PhaseSpacePoint Class
	*
	* \authors The HEJ collaboration (see AUTHORS for details)
	* \date 2019-2020
	* \copyright GPLv2 or later
	*/
	#pragma once

	#include <array>
	#include <bitset>
	#include <cstddef>
	#include <unordered_map>
	#include <optional>
	#include <vector>

	#include "boost/iterator/filter_iterator.hpp"

	#include "HEJ/Event.hh"
	#include "HEJ/PDG_codes.hh"
	#include "HEJ/Particle.hh"

	#include "fastjet/PseudoJet.hh"

	#include "Decay.hh"
	#include "Status.hh"
	#include "Subleading.hh"

	namespace HEJ {
	class EWConstants;
	class PDF;
	class RNG;
	}

	namespace HEJFOG {
	struct JetParameters;
	struct Process;

	//! A point in resummation phase space
	class PhaseSpacePoint{
	public:

	//! Iterator over partons
	using ConstPartonIterator = boost::filter_iterator<
	bool (*)(HEJ::Particle const &),
	std::vector<HEJ::Particle>::const_iterator
	>;
	//! Reverse Iterator over partons
	using ConstReversePartonIterator = std::reverse_iterator<
	ConstPartonIterator>;

	//! Default PhaseSpacePoint Constructor
	PhaseSpacePoint() = delete;

	//! PhaseSpacePoint Constructor
	/**
	* @param proc The process to generate
	* @param jet_param Jet defintion & cuts
	* @param pdf The pdf set (used for sampling)
	* @param E_beam Energie of the beam
	* @param subl_chance Chance to turn a potentially unordered
	* emission into an actual one
	* @param subl_channels Possible subleading channels.
	* see HEJFOG::Subleading
	* @param particle_properties Properties of producted boson
	*
	* Initially, only FKL phase space points are generated. subl_chance gives
	* the chance of turning one emissions into a subleading configuration,
	* i.e. either unordered or central quark/anti-quark pair. Unordered
	* emissions require that the most extremal emission in any direction is
	* a quark or anti-quark and the next emission is a gluon. Quark/anti-quark
	* pairs are only generated for W processes. At most one subleading
	* emission will be generated in this way.
	*/
	PhaseSpacePoint(
	Process const & proc,
	JetParameters const & jet_param,
	HEJ::PDF & pdf, double E_beam,
	double subl_chance,
	Subleading subl_channels,
	ParticlesDecayMap const & particle_decays,
	HEJ::EWConstants const & ew_parameters,
	HEJ::RNG & ran
	);

	//! Get Weight Function
	/**
	* @returns Weight of Event
	*/
	double weight() const{
	return weight_;
	}

	Status status() const{
	return status_;
	}

	//! Get Incoming Function
	/**
	* @returns Incoming Particles
	*/
	std::array<HEJ::Particle, 2> const & incoming() const{
	return incoming_;
	}

	//! Get Outgoing Function
	/**
	* @returns Outgoing Particles
	*/
	std::vector<HEJ::Particle> const & outgoing() const{
	return outgoing_;
	}

	std::unordered_map<std::size_t, std::vector<HEJ::Particle>> const & decays() const{
	return decays_;
	}

	//! Iterator to the first outgoing parton
	ConstPartonIterator begin_partons() const;
	//! Iterator to the first outgoing parton
	ConstPartonIterator cbegin_partons() const;

	//! Iterator to the end of the outgoing partons
	ConstPartonIterator end_partons() const;
	//! Iterator to the end of the outgoing partons
	ConstPartonIterator cend_partons() const;

	//! Reverse Iterator to the first outgoing parton
	ConstReversePartonIterator rbegin_partons() const;
	//! Reverse Iterator to the first outgoing parton
	ConstReversePartonIterator crbegin_partons() const;
	//! Reverse Iterator to the first outgoing parton
	ConstReversePartonIterator rend_partons() const;
	//! Reverse Iterator to the first outgoing parton
	ConstReversePartonIterator crend_partons() const;

	private:
	static constexpr std::size_t NUM_PARTONS = 11; //!< Number of partons
	public:
	using part_mask = std::bitset<NUM_PARTONS>; //!< Selection mask for partons
	private:
	friend HEJ::Event::EventData to_EventData(PhaseSpacePoint psp);
	/**
	* @internal
	* @brief Generate LO parton momentum
	*
	* @param np Number of partons to generate
	* @param is_pure_jets If true ensures momentum conservation in x and y
	* @param jet_param Jet properties to fulfil
	* @param max_pt max allowed pt for a parton (typically E_CMS)
	* @param ran Random Number Generator
	*
	* @returns Momentum of partons
	*
	* Ensures that each parton is in its own jet.
	* Generation is independent of parton flavour. Output is sorted in rapidity.
	*/
	std::vector<fastjet::PseudoJet> gen_LO_partons(
	int np, bool is_pure_jets,
	JetParameters const & jet_param,
	double max_pt,
	HEJ::RNG & ran
	);
	void add_boson(
	Process const & proc,
	ParticlesDecayMap const & particle_decays,
	HEJ::EWConstants const & ew_parameters,
	HEJ::RNG & ran
	);
	HEJ::Particle gen_boson(
	HEJ::ParticleID bosonid, double mass, double width,
	HEJ::RNG & ran
	);
	double gen_V_boson_rapidity(
	HEJ::ParticleID V_boson,
	HEJ::RNG & ran
	);
	double gen_Higgs_rapidity(HEJ::RNG & ran);
	template<class ParticleMomenta>
	fastjet::PseudoJet gen_last_momentum(
	ParticleMomenta const & other_momenta,
	double mass_square, double y
	) const;

	bool jets_ok(
	std::vector<fastjet::PseudoJet> const & Born_jets,
	std::vector<fastjet::PseudoJet> const & partons
	) const;
	/**
	* @internal
	* @brief Generate incoming partons according to the PDF
	*
	* @param uf Scale used in the PDF
	*/
	void reconstruct_incoming(
	Process const & proc,
	std::optional<subleading::Channels> channel,
	HEJ::PDF & pdf, double E_beam,
	double uf,
	HEJ::RNG & ran
	);
	HEJ::ParticleID generate_incoming_id(
	std::size_t beam_idx, double x, double uf, HEJ::PDF & pdf,
	part_mask allowed_partons, HEJ::RNG & ran
	);
	//! @brief Returns list of all allowed initial states partons
	std::array<part_mask,2> allowed_incoming(
	Process const & proc,
	std::optional<subleading::Channels> channel,
	HEJ::RNG & ran
	);

	//! Ensure that incoming state compatible with A/W/Z production
	//! Should not be called for final-state qqbar configurations,
	//! since A/W/Z emission doesn't constrain the initial state there
	std::array<part_mask,2> incoming_AWZ(
	Process const & proc,
	std::array<part_mask,2> allowed_partons,
	HEJ::RNG & ran
	);
	//! Ensure that incoming state compatible with extremal qqbar
	std::array<part_mask,2> incoming_eqqbar(
	std::array<part_mask,2> allowed_partons, HEJ::RNG & ran);
	//! Ensure that incoming state compatible with unordered
	std::array<part_mask,2> incoming_uno(
	std::array<part_mask,2> allowed_partons, HEJ::RNG & ran);

	bool momentum_conserved(double ep) const;

	bool extremal_FKL_ok(
	std::vector<fastjet::PseudoJet> const & partons
	) const;
	double random_normal(double stddev, HEJ::RNG & ran);
	double random_normal_trunc(
	double stddev,
	HEJ::RNG & ran,
	double min,
	double max
	);
	/**
	* @internal
	* @brief Turns a FKL configuration into a subleading one
	*
	* @param chance Chance to switch to subleading configuration
	* @param channels Allowed channels for subleading process
	* @param proc Process to decide which subleading
	* configurations are allowed
	*
	* With a chance of "chance" the FKL configuration is either turned into
	* a unordered configuration or, for A/W/Z bosons, a configuration with
	* a central quark/anti-quark pair.
	*/
	void turn_to_subl(
	subleading::Channels channel,
	Process const & proc,
	HEJ::RNG & ran
	);
	- void turn_to_subl(
	- Subleading channels,
	- bool can_be_uno_backward, bool can_be_uno_forward, bool allow_strange,
	- HEJ::RNG & ran);
	void turn_to_uno(bool can_be_uno_backward, bool can_be_uno_forward,
	HEJ::RNG & ran);
	HEJ::ParticleID select_qqbar_flavour(bool allow_strange, HEJ::RNG & ran);
	void turn_to_cqqbar(bool allow_strange, HEJ::RNG & ran);
	void turn_to_eqqbar(bool allow_strange, HEJ::RNG & ran);
	//! decay where we select the decay channel
	std::vector<HEJ::Particle> decay_channel(
	HEJ::Particle const & parent,
	std::vector<Decay> const & decays,
	HEJ::RNG & ran
	);
	Decay select_decay_channel(
	std::vector<Decay> const & decays,
	HEJ::RNG & ran
	);
	double gen_hard_pt(
	int np, double ptmin, double ptmax, double y,
	HEJ::RNG & ran
	);
	double gen_soft_pt(int np, double max_pt, HEJ::RNG & ran);
	double gen_parton_pt(
	int count, JetParameters const & jet_param, double max_pt, double y,
	HEJ::RNG & ran
	);

	//! Iterator over partons (non-const)
	using PartonIterator = boost::filter_iterator<
	bool (*)(HEJ::Particle const &),
	std::vector<HEJ::Particle>::iterator
	>;
	//! Reverse Iterator over partons (non-const)
	using ReversePartonIterator = std::reverse_iterator<PartonIterator>;

	//! Iterator to the first outgoing parton (non-const)
	PartonIterator begin_partons();
	//! Iterator to the end of the outgoing partons (non-const)
	PartonIterator end_partons();

	//! Reverse Iterator to the first outgoing parton (non-const)
	ReversePartonIterator rbegin_partons();
	//! Reverse Iterator to the first outgoing parton (non-const)
	ReversePartonIterator rend_partons();

	std::optional<subleading::Channels> select_channel(
	Subleading subl_channels,
	double chance,
	HEJ::RNG & ran
	);

	double weight_;

	Status status_;

	std::array<HEJ::Particle, 2> incoming_;
	std::vector<HEJ::Particle> outgoing_;
	//! Particle decays in the format {outgoing index, decay products}
	std::unordered_map<std::size_t, std::vector<HEJ::Particle>> decays_;
	};

	//! Extract HEJ::Event::EventData from PhaseSpacePoint
	HEJ::Event::EventData to_EventData(PhaseSpacePoint psp);
	} // namespace HEJFOG
	diff --git a/FixedOrderGen/src/PhaseSpacePoint.cc b/FixedOrderGen/src/PhaseSpacePoint.cc
	index 098fa91..ac13f69 100644
	--- a/FixedOrderGen/src/PhaseSpacePoint.cc
	+++ b/FixedOrderGen/src/PhaseSpacePoint.cc
	@@ -1,1081 +1,1064 @@
	/**
	* \authors The HEJ collaboration (see AUTHORS for details)
	* \date 2019-2020
	* \copyright GPLv2 or later
	*/
	#include "PhaseSpacePoint.hh"

	#include <algorithm>
	#include <cassert>
	#include <cmath>
	#include <cstdint>
	#include <cstdlib>
	#include <iostream>
	#include <iterator>
	#include <limits>
	#include <tuple>
	#include <type_traits>
	#include <utility>

	#include "Subleading.hh"
	#include "Utility.hh"
	#include "fastjet/ClusterSequence.hh"

	#include "HEJ/Constants.hh"
	#include "HEJ/EWConstants.hh"
	#include "HEJ/PDF.hh"
	#include "HEJ/PDG_codes.hh"
	#include "HEJ/Particle.hh"
	#include "HEJ/RNG.hh"
	#include "HEJ/exceptions.hh"
	#include "HEJ/kinematics.hh"
	#include "HEJ/utility.hh"

	#include "JetParameters.hh"
	#include "Process.hh"

	namespace HEJFOG {
	HEJ::Event::EventData to_EventData(PhaseSpacePoint psp){
	//! @TODO Same function already in HEJ
	HEJ::Event::EventData result;
	result.incoming = std::move(psp).incoming_; // NOLINT(bugprone-use-after-move)
	result.outgoing = std::move(psp).outgoing_; // NOLINT(bugprone-use-after-move)
	// technically Event::EventData doesn't have to be sorted,
	// but PhaseSpacePoint should be anyway
	assert(
	std::is_sorted(
	begin(result.outgoing), end(result.outgoing),
	HEJ::rapidity_less{}
	)
	);
	assert(result.outgoing.size() >= 2);
	result.decays = std::move(psp).decays_; // NOLINT(bugprone-use-after-move)
	static_assert(
	std::numeric_limits<double>::has_quiet_NaN,
	"no quiet NaN for double"
	);
	constexpr double nan = std::numeric_limits<double>::quiet_NaN();
	result.parameters.central = {nan, nan, psp.weight()}; // NOLINT(bugprone-use-after-move)
	return result;
	}

	PhaseSpacePoint::ConstPartonIterator PhaseSpacePoint::begin_partons() const {
	return cbegin_partons();
	}
	PhaseSpacePoint::ConstPartonIterator PhaseSpacePoint::cbegin_partons() const {
	return {HEJ::is_parton, cbegin(outgoing()), cend(outgoing())};
	}

	PhaseSpacePoint::ConstPartonIterator PhaseSpacePoint::end_partons() const {
	return cend_partons();
	}
	PhaseSpacePoint::ConstPartonIterator PhaseSpacePoint::cend_partons() const {
	return {HEJ::is_parton, cend(outgoing()), cend(outgoing())};
	}

	PhaseSpacePoint::ConstReversePartonIterator PhaseSpacePoint::rbegin_partons() const {
	return crbegin_partons();
	}
	PhaseSpacePoint::ConstReversePartonIterator PhaseSpacePoint::crbegin_partons() const {
	return std::reverse_iterator<ConstPartonIterator>( cend_partons() );
	}

	PhaseSpacePoint::ConstReversePartonIterator PhaseSpacePoint::rend_partons() const {
	return crend_partons();
	}
	PhaseSpacePoint::ConstReversePartonIterator PhaseSpacePoint::crend_partons() const {
	return std::reverse_iterator<ConstPartonIterator>( cbegin_partons() );
	}

	PhaseSpacePoint::PartonIterator PhaseSpacePoint::begin_partons() {
	return {HEJ::is_parton, begin(outgoing_), end(outgoing_)};
	}

	PhaseSpacePoint::PartonIterator PhaseSpacePoint::end_partons() {
	return {HEJ::is_parton, end(outgoing_), end(outgoing_)};
	}

	PhaseSpacePoint::ReversePartonIterator PhaseSpacePoint::rbegin_partons() {
	return std::reverse_iterator<PartonIterator>( end_partons() );
	}

	PhaseSpacePoint::ReversePartonIterator PhaseSpacePoint::rend_partons() {
	return std::reverse_iterator<PartonIterator>( begin_partons() );
	}

	namespace {
	bool can_swap_to_uno(
	HEJ::Particle const & p1, HEJ::Particle const & p2
	){
	assert(is_parton(p1) && is_parton(p2));
	return p1.type != HEJ::pid::gluon
	&& p2.type == HEJ::pid::gluon;
	}

	template<class PartonIt, class OutIt>
	bool uno_possible(
	PartonIt first_parton, OutIt first_out
	){
	using namespace HEJ;
	// Special case: Higgs can not be outside of uno
	if(first_out->type == pid::Higgs
	\|\| std::next(first_out)->type==pid::Higgs){
	return false;
	}
	// decide what kind of subleading process is allowed
	return can_swap_to_uno( first_parton, std::next(first_parton) );
	}

	- bool is_up_type(HEJ::Particle const & part){
	- return is_anyquark(part) && ((std::abs(part.type)%2) == 0);
	- }
	- bool is_down_type(HEJ::Particle const & part){
	- return is_anyquark(part) && ((std::abs(part.type)%2) != 0);
	- }
	- bool can_couple_to_W(
	- HEJ::Particle const & part, HEJ::pid::ParticleID const W_id
	- ){
	- const int W_charge = W_id>0?1:-1;
	- return std::abs(part.type)<HEJ::pid::b
	- && ( (W_charge*part.type > 0 && is_up_type(part))
	- \|\| (W_charge*part.type < 0 && is_down_type(part)) );
	- }
	- } // namespace
	-
	- namespace {
	template<class Iterator>
	bool allow_strange(
	Iterator first_parton, Iterator last_parton,
	Process const & proc
	) {
	const auto boson = proc.boson;
	return !(
	boson
	&& std::abs(*boson)== HEJ::pid::Wp
	&& std::none_of(
	first_parton, last_parton,
	[boson](HEJ::Particle const & p){
	- return can_couple_to_W(p, *boson);
	+ return vector_boson_can_couple_to(*boson, p.type);
	})
	);
	}
	}

	void PhaseSpacePoint::turn_to_subl(
	subleading::Channels const channel,
	Process const & proc,
	HEJ::RNG & ran
	) {
	using namespace HEJ;
	assert(proc.njets > 2);

	switch(channel) {
	case subleading::unordered: {
	bool const can_be_uno_backward = uno_possible(cbegin_partons(),
	outgoing_.cbegin());
	bool const can_be_uno_forward = uno_possible(crbegin_partons(),
	outgoing_.crbegin());
	return turn_to_uno(can_be_uno_backward, can_be_uno_forward, ran);
	}
	case subleading::central_qqbar: {
	bool const strange_allowed = allow_strange(
	begin_partons(),
	end_partons(),
	proc
	);
	return turn_to_cqqbar(strange_allowed, ran);
	}
	case subleading::extremal_qqbar: {
	bool const strange_allowed = allow_strange(
	begin_partons(),
	end_partons(),
	proc
	);
	return turn_to_eqqbar(strange_allowed, ran);
	}
	default:;
	}
	throw std::logic_error{"enum value not covered"};
	}

	void PhaseSpacePoint::turn_to_uno(
	const bool can_be_uno_backward, const bool can_be_uno_forward,
	HEJ::RNG & ran
	){
	if(can_be_uno_backward && can_be_uno_forward){
	weight_ *= 2.;
	if(ran.flat() < 0.5){
	return std::swap(begin_partons()->type, std::next(begin_partons())->type);
	}
	return std::swap(rbegin_partons()->type, std::next(rbegin_partons())->type);
	}
	if(can_be_uno_backward){
	return std::swap(begin_partons()->type, std::next(begin_partons())->type);
	}
	assert(can_be_uno_forward);
	std::swap(rbegin_partons()->type, std::next(rbegin_partons())->type);
	}

	//! select flavour of quark
	HEJ::ParticleID PhaseSpacePoint::select_qqbar_flavour(
	const bool allow_strange, HEJ::RNG & ran
	){
	const double r1 = 2.*ran.flat()-1.;
	const double max_flavour = allow_strange?HEJ::N_F:HEJ::N_F-1;
	weight_ = max_flavour2;
	double const flavour = HEJ::pid::down + std::floor(std::abs(r1)*max_flavour);
	return static_cast<HEJ::ParticleID>(flavour*(r1<0.?-1:1));
	}

	void PhaseSpacePoint::turn_to_cqqbar(const bool allow_strange, HEJ::RNG & ran){
	// we assume all FKL partons to be gluons
	auto first = std::next(begin_partons());
	auto last = std::next(rbegin_partons());
	auto const ng = std::distance(first, last.base());
	if(ng < 2)
	throw std::logic_error("not enough gluons to create qqbar");
	auto flavour = select_qqbar_flavour(allow_strange, ran);
	// select gluon for switch
	if(ng!=2){
	const double steps = 1./(ng-1.);
	weight_ /= steps;
	for(auto rnd = ran.flat(); rnd>steps; ++first){
	rnd-=steps;
	}
	}
	first->type = flavour;
	std::next(first)->type = anti(flavour);
	}

	void PhaseSpacePoint::turn_to_eqqbar(const bool allow_strange, HEJ::RNG & ran){
	/// find first and last gluon in FKL chain
	auto first = begin_partons();
	const bool can_forward = !is_anyquark(*first);
	auto last = rbegin_partons();
	const bool can_backward = !is_anyquark(*last);
	if(std::distance(first, last.base()) < 2)
	throw std::logic_error("not enough gluons to create qqbar");
	auto flavour = select_qqbar_flavour(allow_strange, ran);
	// select gluon for switch
	if(can_forward && !can_backward){
	first->type = flavour;
	std::next(first)->type = anti(flavour);
	return;
	}
	if(!can_forward && can_backward){
	last->type = flavour;
	std::next(last)->type = anti(flavour);
	return;
	}
	assert(can_forward && can_backward);
	weight_*=2.;
	if(ran.flat()>0.5){
	first->type = flavour;
	std::next(first)->type = anti(flavour);
	return;
	}
	last->type = flavour;
	std::next(last)->type = anti(flavour);
	}

	template<class ParticleMomenta>
	fastjet::PseudoJet PhaseSpacePoint::gen_last_momentum(
	ParticleMomenta const & other_momenta,
	const double mass_square, const double y
	) const {
	std::array<double,2> pt{0.,0.};
	for (auto const & p: other_momenta) {
	pt[0]-= p.px();
	pt[1]-= p.py();
	}

	const double mperp = std::sqrt(pt[0]pt[0]+pt[1]pt[1]+mass_square);
	const double pz=mperp*std::sinh(y);
	const double E=mperp*std::cosh(y);

	return {pt[0], pt[1], pz, E};
	}

	Decay PhaseSpacePoint::select_decay_channel(
	std::vector<Decay> const & decays,
	HEJ::RNG & ran
	){
	double br_total = 0.;
	for(auto const & decay: decays) br_total += decay.branching_ratio;
	// adjust weight
	// this is given by (channel branching ratio)/(chance to pick channel)
	// where (chance to pick channel) =
	// (channel branching ratio)/(total branching ratio)
	weight_ *= br_total;
	if(decays.size()==1) return decays.front();
	const double r1 = br_total*ran.flat();
	double br_sum = 0.;
	for(auto const & decay: decays){
	br_sum += decay.branching_ratio;
	if(r1 < br_sum) return decay;
	}
	throw std::logic_error{"unreachable"};
	}
	namespace {
	//! generate decay products of a boson
	std::vector<HEJ::Particle> decay_boson(
	HEJ::Particle const & parent,
	std::vector<HEJ::ParticleID> const & decays,
	HEJ::RNG & ran
	){
	if(decays.size() != 2){
	throw HEJ::not_implemented{
	"only decays into two particles are implemented"
	};
	}
	std::vector<HEJ::Particle> decay_products(decays.size());
	for(size_t i = 0; i < decays.size(); ++i){
	decay_products[i].type = decays[i];
	}
	// choose polar and azimuth angle in parent rest frame
	const double E = parent.m()/2;
	const double theta = 2.M_PIran.flat();
	const double cos_phi = 2.*ran.flat()-1.; // Jacobian Factors for W in line 418
	const double sin_phi = std::sqrt(1. - cos_phi*cos_phi); // Know 0 < phi < pi
	const double px = Estd::cos(theta)sin_phi;
	const double py = Estd::sin(theta)sin_phi;
	const double pz = E*cos_phi;
	decay_products[0].p.reset(px, py, pz, E);
	decay_products[1].p.reset(-px, -py, -pz, E);
	for(auto & particle: decay_products) particle.p.boost(parent.p);
	return decay_products;
	}
	} // namespace

	std::vector<HEJ::Particle> PhaseSpacePoint::decay_channel(
	HEJ::Particle const & parent,
	std::vector<Decay> const & decays,
	HEJ::RNG & ran
	){
	const auto channel = select_decay_channel(decays, ran);
	return decay_boson(parent, channel.products, ran);
	}

	namespace {
	//! adds a particle to target (in correct rapidity ordering)
	//! @returns positon of insertion
	auto insert_particle(std::vector<HEJ::Particle> & target,
	HEJ::Particle && particle
	){
	const auto pos = std::upper_bound(
	begin(target),end(target),particle,HEJ::rapidity_less{}
	);
	target.insert(pos, std::move(particle));
	return pos;
	}
	} // namespace

	PhaseSpacePoint::PhaseSpacePoint(
	Process const & proc,
	JetParameters const & jet_param,
	HEJ::PDF & pdf, double E_beam,
	double const subl_chance,
	Subleading const subl_channels,
	ParticlesDecayMap const & particle_decays,
	HEJ::EWConstants const & ew_parameters,
	HEJ::RNG & ran
	){
	assert(proc.njets >= 2);
	status_ = Status::good;
	weight_ = 1;

	// ensure that all setting are consistent
	// a more thorough check is in EventGenerator
	assert(subl_chance > 0. \|\| subl_channels.none());

	const std::size_t nout = proc.njets + (proc.boson?1:0)
	+ proc.boson_decay.size();
	outgoing_.reserve(nout);

	// generate parton momenta
	const bool is_pure_jets = (nout == proc.njets);
	auto partons = gen_LO_partons(
	proc.njets, is_pure_jets, jet_param, E_beam, ran
	);
	if(status_ != Status::good) return;
	// pre fill flavour with gluons
	for(auto && parton: std::move(partons)){
	outgoing_.emplace_back(HEJ::Particle{HEJ::pid::gluon, std::move(parton), {}});
	}

	const std::optional<subleading::Channels> channel = select_channel(
	subl_channels,
	subl_chance,
	ran
	);

	// normalisation of momentum-conserving delta function
	weight_ = std::pow(2M_PI, 4);

	/** @TODO
	* uf (jet_param.min_pt) doesn't correspond to our final scale choice.
	* The HEJ scale generators currently expect a full event as input,
	* so fixing this is not completely trivial
	*/
	reconstruct_incoming(proc, channel, pdf, E_beam, jet_param.min_pt, ran);
	if(status_ != Status::good) return;
	// set outgoing states
	begin_partons()->type = incoming_[0].type;
	rbegin_partons()->type = incoming_[1].type;

	if(channel) turn_to_subl(*channel, proc, ran);

	if(proc.boson) {
	add_boson(proc, particle_decays, ew_parameters, ran);
	// total momentum has changed, update incoming momenta
	std::tie(incoming_[0].p, incoming_[1].p) = incoming_momenta(outgoing_);
	if(incoming().front().E() + incoming().back().E() > 2 * E_beam) {
	weight_ = 0;
	status_ = Status::too_much_energy;
	return;
	}
	}
	assert(momentum_conserved(1e-7));
	}

	void PhaseSpacePoint::add_boson(
	Process const & proc,
	ParticlesDecayMap const & particle_decays,
	HEJ::EWConstants const & ew_parameters,
	HEJ::RNG & ran
	) {
	auto const & boson_prop = (*proc.boson == HEJ::pid::Z_photon_mix
	? ew_parameters.prop(HEJ::pid::Z)
	: ew_parameters.prop(*proc.boson));
	auto boson = gen_boson(
	*proc.boson, boson_prop.mass, boson_prop.width,
	ran
	);
	const auto pos{insert_particle(outgoing_, std::move(boson))};
	const size_t boson_idx = std::distance(begin(outgoing_), pos);
	auto const & boson_decay = particle_decays.find(*proc.boson);
	if( !proc.boson_decay.empty() ){ // decay given in proc
	decays_.emplace(
	boson_idx,
	decay_boson(outgoing_[boson_idx], proc.boson_decay, ran)
	);
	} else if( boson_decay != particle_decays.end()
	&& !boson_decay->second.empty() ){ // decay given explicitly
	decays_.emplace(
	boson_idx,
	decay_channel(outgoing_[boson_idx], boson_decay->second, ran)
	);
	}
	}

	// pt generation, see eq:pt_sampling in developer manual
	double PhaseSpacePoint::gen_hard_pt(
	const int np , const double ptmin, const double ptmax, const double /* y */,
	HEJ::RNG & ran
	){
	// heuristic parameter for pt sampling, see eq:pt_par in developer manual
	const double ptpar = ptmin + np/5.;

	const double arctan = std::atan((ptmax - ptmin)/ptpar);
	const double xpt = ran.flat();
	const double pt = ptmin + ptparstd::tan(xptarctan);
	const double cosine = std::cos(xpt*arctan);
	weight_ = ptptpararctan/(cosinecosine);
	return pt;
	}

	double PhaseSpacePoint::gen_soft_pt(int np, double max_pt, HEJ::RNG & ran) {
	constexpr double ptpar = 4.;

	const double r = ran.flat();
	const double pt = max_pt + ptpar/np*std::log(r);
	weight_ = ptptpar/(np*r);
	return pt;
	}

	double PhaseSpacePoint::gen_parton_pt(
	int count, JetParameters const & jet_param, double max_pt, double y,
	HEJ::RNG & ran
	) {
	constexpr double p_small_pt = 0.02;

	if(! jet_param.peak_pt) {
	return gen_hard_pt(count, jet_param.min_pt, max_pt, y, ran);
	}
	const double r = ran.flat();
	if(r > p_small_pt) {
	weight_ /= 1. - p_small_pt;
	return gen_hard_pt(count, *jet_param.peak_pt, max_pt, y, ran);
	}
	weight_ /= p_small_pt;
	const double pt = gen_soft_pt(count, *jet_param.peak_pt, ran);
	if(pt < jet_param.min_pt) {
	weight_=0.0;
	status_ = Status::not_enough_jets;
	return jet_param.min_pt;
	}
	return pt;
	}

	std::vector<fastjet::PseudoJet> PhaseSpacePoint::gen_LO_partons(
	int np, bool is_pure_jets,
	JetParameters const & jet_param,
	double max_pt,
	HEJ::RNG & ran
	){
	if (np<2) throw std::invalid_argument{"Not enough partons in gen_LO_partons"};

	weight_ /= std::pow(16.*std::pow(M_PI,3),np);
	weight_ /= std::tgamma(np+1); //remove rapidity ordering
	std::vector<fastjet::PseudoJet> partons;
	partons.reserve(np);
	for(int i = 0; i < np; ++i){
	const double y = -jet_param.max_y + 2jet_param.max_yran.flat();
	weight_ = 2jet_param.max_y;

	const bool is_last_parton = i+1 == np;
	if(is_pure_jets && is_last_parton) {
	constexpr double parton_mass_sq = 0.;
	partons.emplace_back(gen_last_momentum(partons, parton_mass_sq, y));
	break;
	}

	const double phi = 2M_PIran.flat();
	weight_ = 2.0M_PI;

	const double pt = gen_parton_pt(np, jet_param, max_pt, y, ran);
	if(weight_ == 0.0) return {};

	partons.emplace_back(fastjet::PtYPhiM(pt, y, phi));
	assert(jet_param.min_pt <= partons[i].pt());
	assert(partons[i].pt() <= max_pt+1e-5);
	}
	// Need to check that at LO, the number of jets = number of partons;
	fastjet::ClusterSequence cs(partons, jet_param.def);
	auto cluster_jets=cs.inclusive_jets(jet_param.min_pt);
	if (cluster_jets.size()!=unsigned(np)){
	weight_=0.0;
	status_ = Status::not_enough_jets;
	return {};
	}

	std::sort(begin(partons), end(partons), HEJ::rapidity_less{});

	return partons;
	}

	HEJ::Particle PhaseSpacePoint::gen_boson(
	HEJ::ParticleID bosonid, double mass, double width,
	HEJ::RNG & ran
	){
	// Usual phase space measure for single particle,
	// see eq:single_particle_phase_space in developer manual
	weight_ /= 16.*std::pow(M_PI, 3);

	const double y = (bosonid == HEJ::pid::Higgs)?
	gen_Higgs_rapidity(ran):
	gen_V_boson_rapidity(bosonid, ran);

	// off-shell sampling, see eq:breit-wigner-sampling in developer manual
	const double r1 = ran.flat();
	const double s_boson = mass*(
	mass + widthstd::tan(M_PI/2.r1 + (r1-1.)*std::atan(mass/width))
	);
	if(bosonid != HEJ::pid::Higgs){
	// two-particle phase space,
	// compare eq:two_particle_phase_space and eq:one_particle_phase_space
	// in developer manual
	weight_/=M_PIM_PI16.;
	// Jacobian, see eq:breit-wigner-sampling_jacobian in developer manual
	weight_= masswidth( M_PI+2.std::atan(mass/width) )
	/ ( 1. + std::cos( M_PIr1 + 2.(r1-1.)*std::atan(mass/width) ) );
	}

	return {
	bosonid,
	gen_last_momentum(outgoing_, s_boson, y),
	{}
	};
	}

	namespace {
	bool is_uno_forward(
	std::array<HEJ::Particle, 2> const & incoming,
	std::vector<HEJ::Particle> const & partons
	) {
	if(partons.size() < 3) return false;
	assert(
	std::is_sorted(
	begin(incoming), end(incoming),
	HEJ::rapidity_less{}
	)
	);
	assert(
	std::is_sorted(
	begin(partons), end(partons),
	HEJ::rapidity_less{}
	)
	);
	assert(is_parton(*partons.rbegin()));
	assert(is_parton(*std::next(partons.rbegin())));
	return
	HEJ::is_anyquark(incoming.back())
	&& partons.rbegin()->type == HEJ::pid::gluon
	&& HEJ::is_anyquark(*std::next(partons.rbegin()));
	}

	bool is_uno_backward(
	std::array<HEJ::Particle, 2> const & incoming,
	std::vector<HEJ::Particle> const & partons
	) {
	if(partons.size() < 3) return false;
	assert(
	std::is_sorted(
	begin(incoming), end(incoming),
	HEJ::rapidity_less{}
	)
	);
	assert(
	std::is_sorted(
	begin(partons), end(partons),
	HEJ::rapidity_less{}
	)
	);
	assert(is_parton(*partons.begin()));
	assert(is_parton(*std::next(partons.begin())));
	return
	HEJ::is_anyquark(incoming.front())
	&& partons.begin()->type == HEJ::pid::gluon
	&& HEJ::is_anyquark(*std::next(partons.begin()));
	}
	}

	double PhaseSpacePoint::gen_Higgs_rapidity(HEJ::RNG & ran) {
	constexpr double STDDEV_Y_H = 1.6;
	if(is_uno_forward(incoming(), outgoing())) {
	return random_normal_trunc(
	STDDEV_Y_H,
	ran,
	std::numeric_limits<double>::lowest(),
	outgoing_[outgoing().size() - 2].rapidity()
	);
	} else if(is_uno_backward(incoming(), outgoing())) {
	return random_normal_trunc(
	STDDEV_Y_H,
	ran,
	outgoing_[1].rapidity(),
	std::numeric_limits<double>::max()
	);
	}
	return random_normal(STDDEV_Y_H, ran);
	}

	namespace {
	template<class Iterator, class Predicate>
	Iterator find_if_nth(
	Iterator begin, Iterator end, Predicate p, std::size_t n
	) {
	return std::find_if(
	begin, end,
	[p,n](auto const & i) mutable {
	if(!p(i)) return false;
	if(n > 0) {
	--n;
	return false;
	} else {
	return true;
	}
	}
	);
	}
	}

	double PhaseSpacePoint::gen_V_boson_rapidity(
	HEJ::ParticleID const V_boson,
	HEJ::RNG & ran
	){
	constexpr double STDDEV_Y_V = 1.8;
	const auto can_couple = [V_boson](HEJ::Particle const & p) {
	return vector_boson_can_couple_to(V_boson, p.type);
	};

	const std::size_t n_pot_emitters = std::count_if(
	outgoing().begin(), outgoing().end(),
	can_couple
	);
	assert(n_pot_emitters > 0);
	const std::size_t emitter_idx = ran.flat() * n_pot_emitters;
	auto emitter = find_if_nth(
	outgoing_.begin(), outgoing_.end(),
	can_couple,
	emitter_idx
	);
	assert(emitter != outgoing_.end());
	// For a W we get a flavour change in the emitter,
	// so we have to _sum_ over all possible emitters
	// and have to adjust the weight
	// since we only pick a single term in that sum here.
	// For a Z/photon we do not get distinct configurations,
	// so there is no sum and no weight adjustment.
	if(std::abs(V_boson) == HEJ::pid::Wp) {
	emitter->type = static_cast<HEJ::ParticleID>(
	emitter->type - HEJ::charge(V_boson).numerator()
	);
	weight_ *= n_pot_emitters;
	}

	const double dy = random_normal(STDDEV_Y_V, ran);
	return emitter->rapidity() + dy;
	}

	namespace {
	/// partons are ordered: even = anti, 0 = gluon
	constexpr HEJ::ParticleID index_to_pid(size_t i){
	if(!i) return HEJ::pid::gluon;
	return static_cast<HEJ::ParticleID>( i%2 ? (i+1)/2 : -i/2 );
	}

	/// partons are ordered: even = anti, 0 = gluon
	constexpr size_t pid_to_index(HEJ::ParticleID id){
	if(id==HEJ::pid::gluon) return 0;
	return id>0 ? id2-1 : std::abs(id)2;
	}

	constexpr PhaseSpacePoint::part_mask GLUON = 1u << pid_to_index(HEJ::pid::gluon);
	constexpr PhaseSpacePoint::part_mask ALL = ~0;

	PhaseSpacePoint::part_mask init_allowed(HEJ::ParticleID const id){
	if(std::abs(id) == HEJ::pid::proton)
	return ALL;
	PhaseSpacePoint::part_mask out{0};
	if(HEJ::is_parton(id))
	out[pid_to_index(id)] = true;
	return out;
	}

	/// decides which "index" (see index_to_pid) are allowed for process
	PhaseSpacePoint::part_mask allowed_quarks(HEJ::ParticleID const boson){
	if(std::abs(boson) != HEJ::pid::Wp){
	return ~GLUON;
	}
	// special case W:
	// Wp: anti-down or up-type quark, no b/t
	// Wm: down or anti-up-type quark, no b/t
	return boson>0?0b00011001100 // NOLINT(readability-magic-numbers)
	:0b00100110010; // NOLINT(readability-magic-numbers)
	}
	} // namespace

	std::array<PhaseSpacePoint::part_mask,2> PhaseSpacePoint::incoming_AWZ(
	Process const & proc,
	std::array<part_mask,2> allowed_partons,
	HEJ::RNG & ran
	){
	assert(proc.boson);
	auto couple_parton = allowed_quarks(*proc.boson);
	if( // coupling possible through input
	allowed_partons[0] == (couple_parton&allowed_partons[0])
	\|\| allowed_partons[1] == (couple_parton&allowed_partons[1])
	){
	return allowed_partons;
	}
	// only first can couple
	if( (allowed_partons[0]&couple_parton).any()
	&&(allowed_partons[1]&couple_parton).none()
	){
	return {allowed_partons[0]&couple_parton, allowed_partons[1]};
	}
	// only second can couple
	if( (allowed_partons[0]&couple_parton).none()
	&& (allowed_partons[1]&couple_parton).any()
	){
	return {allowed_partons[0], allowed_partons[1]&couple_parton};
	}
	// both can couple
	if( (allowed_partons[0]&couple_parton).any()
	&& (allowed_partons[1]&couple_parton).any()
	){
	double rnd = ran.flat();
	weight_*=3.;
	if(rnd<1./3.){
	return {
	allowed_partons[0] & couple_parton,
	allowed_partons[1] & ~couple_parton
	};
	}
	if(rnd<2./3.){
	return {
	allowed_partons[0] & ~couple_parton,
	allowed_partons[1] & couple_parton
	};
	}
	return {
	allowed_partons[0] & couple_parton,
	allowed_partons[1] & couple_parton
	};
	}
	throw std::invalid_argument{"Incoming state not allowed."};
	}

	std::array<PhaseSpacePoint::part_mask,2> PhaseSpacePoint::incoming_eqqbar(
	std::array<part_mask,2> allowed_partons, HEJ::RNG & ran
	){
	auto const gluon_idx = pid_to_index(HEJ::pid::gluon);
	auto & first_beam = allowed_partons[0];
	auto & second_beam = allowed_partons[1];
	if(first_beam[gluon_idx] && !second_beam[gluon_idx]){
	first_beam.reset();
	first_beam.set(gluon_idx);
	return allowed_partons;
	}
	if(!first_beam[gluon_idx] && second_beam[gluon_idx]) {
	second_beam.reset();
	second_beam.set(gluon_idx);
	return allowed_partons;
	}
	if(first_beam[gluon_idx] && second_beam[gluon_idx]) {
	// both beams can be gluons
	// if one can't be a quark everything is good
	auto first_quarks = first_beam;
	first_quarks.reset(gluon_idx);
	auto second_quarks = second_beam;
	second_quarks.reset(gluon_idx);
	if(first_quarks.none() \|\| second_quarks.none()){
	return allowed_partons;
	}
	// else choose one to be a gluon
	double rnd = ran.flat();
	weight_*=3.;
	if(rnd<1./3.){
	allowed_partons[0].reset();
	allowed_partons[0].set(gluon_idx);
	allowed_partons[1].reset(gluon_idx);
	} else if(rnd<2./3.){
	allowed_partons[1].reset();
	allowed_partons[1].set(gluon_idx);
	allowed_partons[0].reset(gluon_idx);
	} else {
	allowed_partons[0].reset();
	allowed_partons[0].set(gluon_idx);
	allowed_partons[1].reset();
	allowed_partons[1].set(gluon_idx);
	}
	return allowed_partons;
	}
	throw std::invalid_argument{
	"Incoming state not allowed for pure extremal qqbar."};
	}

	std::array<PhaseSpacePoint::part_mask,2> PhaseSpacePoint::incoming_uno(
	std::array<part_mask,2> allowed_partons, HEJ::RNG & ran
	){
	auto const gluon_idx = pid_to_index(HEJ::pid::gluon);
	auto & first_beam = allowed_partons[0];
	auto & second_beam = allowed_partons[1];
	auto first_quarks = first_beam;
	first_quarks.reset(gluon_idx);
	auto second_quarks = second_beam;
	second_quarks.reset(gluon_idx);
	if(first_quarks.any() && second_quarks.none()){
	first_beam.reset(gluon_idx);
	return allowed_partons;
	}
	if(first_quarks.none() && second_quarks.any()) {
	second_beam.reset(gluon_idx);
	return allowed_partons;
	}
	if(first_quarks.any() && second_quarks.any()) {
	// both beams can be quarks
	// if one can't be gluon everything is good
	if(!first_beam[gluon_idx] \|\| !second_beam[gluon_idx]){
	return allowed_partons;
	}
	// else choose one to be a quark
	double rnd = ran.flat();
	weight_*=3.;
	if(rnd<1./3.){
	allowed_partons[0].reset(gluon_idx);
	allowed_partons[1].reset();
	allowed_partons[1].set(gluon_idx);
	} else if(rnd<2./3.){
	allowed_partons[1].reset(gluon_idx);
	allowed_partons[0].reset();
	allowed_partons[0].set(gluon_idx);
	} else {
	allowed_partons[0].reset(gluon_idx);
	allowed_partons[1].reset(gluon_idx);
	}
	return allowed_partons;
	}
	throw std::invalid_argument{
	"Incoming state not allowed for pure unordered."};
	}

	/**
	* @brief Returns list of all allowed initial states partons
	*
	* checks which partons are allowed as initial state:
	* 1. only allow what is given in the Runcard (p -> all)
	* 2. A/W/Z require something to couple to
	* a) no qqbar => no incoming gluon
	* b) 2j => no incoming gluon
	* c) >3j => can couple OR is gluon => 2 gluons become qqbar later
	* 3. pure eqqbar requires at least one gluon
	* 4. pure uno requires at least one quark
	*/
	std::array<PhaseSpacePoint::part_mask,2> PhaseSpacePoint::allowed_incoming(
	Process const & proc,
	std::optional<subleading::Channels> channel,
	HEJ::RNG & ran
	){
	// all possible incoming states
	std::array<part_mask,2> allowed_partons{
	init_allowed(proc.incoming[0]),
	init_allowed(proc.incoming[1])
	};
	// special case: A/W/Z without qqbar
	if(
	- is_AWZ_proccess(proc)
	+ is_AWZ_process(proc)
	&& (!channel \|\| *channel == subleading::unordered)
	) {
	return incoming_AWZ(proc, allowed_partons, ran);
	}
	if(!channel) return allowed_partons;
	switch(*channel) {
	case subleading::central_qqbar:
	return allowed_partons;
	case subleading::extremal_qqbar:
	return incoming_eqqbar(allowed_partons, ran);
	case subleading::unordered:
	return incoming_uno(allowed_partons, ran);
	default:;
	};
	throw std::logic_error{"enum value not covered"};
	}

	void PhaseSpacePoint::reconstruct_incoming(
	Process const & proc,
	std::optional<subleading::Channels> const channel,
	HEJ::PDF & pdf, double E_beam,
	double uf,
	HEJ::RNG & ran
	){
	std::tie(incoming_[0].p, incoming_[1].p) = incoming_momenta(outgoing_);
	// calculate xa, xb
	const double sqrts=2*E_beam;
	const double xa=(incoming_[0].E()-incoming_[0].pz())/sqrts;
	const double xb=(incoming_[1].E()+incoming_[1].pz())/sqrts;
	// abort if phase space point is outside of collider energy reach
	if (xa>1. \|\| xb>1.){
	weight_=0;
	status_ = Status::too_much_energy;
	return;
	}
	auto const & ids = proc.incoming;
	std::array<part_mask,2> allowed_partons
	= allowed_incoming(proc, channel, ran);
	for(size_t i = 0; i < 2; ++i){
	if(ids[i] == HEJ::pid::proton \|\| ids[i] == HEJ::pid::p_bar){
	// pick ids according to pdfs
	incoming_[i].type =
	generate_incoming_id(i, i?xb:xa, uf, pdf, allowed_partons[i], ran);
	} else {
	assert(allowed_partons[i][pid_to_index(ids[i])]);
	incoming_[i].type = ids[i];
	}
	}
	}

	HEJ::ParticleID PhaseSpacePoint::generate_incoming_id(
	size_t const beam_idx, double const x, double const uf,
	HEJ::PDF & pdf, part_mask allowed_partons, HEJ::RNG & ran
	){
	std::array<double,NUM_PARTONS> pdf_wt{};
	pdf_wt[0] = allowed_partons[0]?
	std::fabs(pdf.pdfpt(beam_idx,x,uf,HEJ::pid::gluon)):0.;
	double pdftot = pdf_wt[0];
	for(size_t i = 1; i < pdf_wt.size(); ++i){
	pdf_wt[i] = allowed_partons[i]?
	4./9.*std::fabs(pdf.pdfpt(beam_idx,x,uf,index_to_pid(i))):0;
	pdftot += pdf_wt[i];
	}
	const double r1 = pdftot * ran.flat();
	double sum = 0;
	for(size_t i=0; i < pdf_wt.size(); ++i){
	if (r1 < (sum+=pdf_wt[i])){
	weight_*= pdftot/pdf_wt[i];
	return index_to_pid(i);
	}
	}
	std::cerr << "Error in choosing incoming parton: "<<x<<" "<<uf<<" "
	<<sum<<" "<<pdftot<<" "<<r1<<std::endl;
	throw std::logic_error{"Failed to choose parton flavour"};
	}

	double PhaseSpacePoint::random_normal( double stddev, HEJ::RNG & ran ){
	const double r1 = ran.flat();
	const double r2 = ran.flat();
	const double lninvr1 = -std::log(r1);
	const double result = stddevstd::sqrt(2.lninvr1)std::cos(2.M_PI*r2);
	weight_ = exp(resultresult/(2stddevstddev))std::sqrt(2.M_PI)*stddev;
	return result;
	}

	double PhaseSpacePoint::random_normal_trunc(
	const double stddev,
	HEJ::RNG & ran,
	const double min,
	const double max
	) {
	assert(min <= max);
	double result;
	std::uint64_t trials = 0;
	do {
	++trials;
	const double r1 = ran.flat();
	const double r2 = ran.flat();
	const double lninvr1 = -std::log(r1);
	result = stddevstd::sqrt(2.lninvr1)std::cos(2.M_PI*r2);
	} while(result < min \|\| result > max);
	weight_ = exp(resultresult/(2stddevstddev))std::sqrt(2.M_PI)*stddev / trials;
	return result;
	}

	bool PhaseSpacePoint::momentum_conserved(double ep) const{
	fastjet::PseudoJet diff;
	for(auto const & in: incoming()) diff += in.p;
	for(auto const & out: outgoing()) diff -= out.p;
	return HEJ::nearby_ep(diff, fastjet::PseudoJet{}, ep);
	}

	std::optional<subleading::Channels> PhaseSpacePoint::select_channel(
	Subleading const subl_channels,
	double const chance,
	HEJ::RNG & ran
	) {
	const double r = ran.flat();
	if(r > chance) {
	weight_ /= 1 - chance;
	return {};
	}
	// pick a random subleading channel (flat)
	const std::size_t num_channels = subl_channels.count();
	weight_ *= num_channels / chance;
	std::size_t channel_idx = r / chance * num_channels;
	for(
	unsigned channel = subleading::first;
	channel <= subleading::last;
	++channel
	) {
	if(subl_channels.test(channel)) {
	if(channel_idx == 0) {
	return {static_cast<subleading::Channels>(channel)};
	} else {
	--channel_idx;
	}
	}
	}
	throw std::logic_error{"unreachable"};
	}

	} // namespace HEJFOG

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