#include <Trace_type_basis.h>

Inheritance diagram for ColorFull::Trace_type_basis:

Public Member Functions
	Trace_type_basis ()

Poly_vec	decompose (const Col_amp &Ca)

std::pair< int, int >	new_vector_numbers (const Col_str &Cs, int emitter)

std::pair< int, int >	new_vector_numbers (int old_num, int emitter, int n_loop) const

Public Member Functions inherited from ColorFull::Col_basis
	Col_basis ()

virtual	~Col_basis ()

bool	is_Trace_basis () const

bool	is_Orthogonal_basis () const

bool	is_Tree_level_gluon_basis () const

uint	size () const

const Col_amp &	at (const int i) const

Col_amp &	at (const int i)

bool	empty () const

void	clear ()

void	append (Col_amp Ca)

void	append (col_basis cb_in)

void	scalar_product_matrix ()

void	scalar_product_matrix_num ()

virtual void	scalar_product_matrix_no_mem ()

void	scalar_product_matrix_num_no_mem ()

void	leading_scalar_product_matrix ()

virtual Polynomial	scalar_product (const Col_amp &Ca1, const Col_amp &Ca2)

virtual cnum	scalar_product_num (const Col_amp &Ca1, const Col_amp &Ca2)

virtual cnum	scalar_product_num (const cvec &v1, const cvec &v2)

cnum	scalar_product_num_diagonal (const cvec &v1, const cvec &v2)

std::string	basis_file_name () const

std::string	spm_file_name (const bool leading, const bool poly) const

virtual void	read_in_Col_basis (std::string filename)

virtual void	read_in_Col_basis ()

void	read_in_d_spm (std::string filename)

void	read_in_d_spm ()

void	read_in_leading_d_spm (std::string filename)

void	read_in_leading_d_spm ()

void	read_in_P_spm (std::string filename)

void	read_in_P_spm ()

void	read_in_leading_P_spm (std::string filename)

void	read_in_leading_P_spm ()

virtual void	write_out_Col_basis (std::string filename) const

virtual void	write_out_Col_basis () const

void	write_out_d_spm (std::string filename) const

void	write_out_d_spm () const

void	write_out_P_spm (std::string filename) const

void	write_out_P_spm () const

void	write_out_leading_d_spm (std::string filename) const

void	write_out_leading_d_spm () const

void	write_out_leading_P_spm (std::string filename) const

void	write_out_leading_P_spm () const

void	simplify ()

Col_amp	exchange_gluon (uint vec, int p1, int p2)

Poly_matr	color_gamma (int p1, int p2)

int	n_quark_check () const

int	n_gluon_check () const

void	rename_indices (Col_str &Cs1, Col_str &Cs2) const

Protected Member Functions
int	new_vector_number (int old_num, std::pair< int, int > place, int n_loop) const

std::pair< int, int >	find_parton (int parton, int vec_num, int n_quark, int n_gluon, int n_loop) const

Protected Member Functions inherited from ColorFull::Col_basis
virtual void	scalar_product_matrix (bool save_P_spm, bool save_d_spm, bool use_mem)

virtual Polynomial	ij_entry (const int i, const int j) const

bool	check_diagonal (const dmatr &matr) const

bool	check_symmetry (const dmatr &matr) const

void	check_spm () const

void	Col_basis_of_str (std::string str)

virtual std::ostream &	write_out_Col_basis_to_stream (std::ostream &out) const

Protected Attributes
int	max_ql

Protected Attributes inherited from ColorFull::Col_basis
bool	trace_basis

bool	tree_level_gluon_basis

bool	orthogonal_basis

Additional Inherited Members
Public Attributes inherited from ColorFull::Col_basis
int	nq

int	ng

col_basis	cb

Poly_matr	P_spm

Poly_matr	leading_P_spm

dmatr	d_spm

dmatr	leading_d_spm

Col_functions	Col_fun

Detailed Description

Trace_type_basis is used for the common features of Trace_basis and Tree_level_gluon_basis which both inherit from Trace_type_basis.

Constructor & Destructor Documentation

◆ Trace_type_basis()

ColorFull::Trace_type_basis::Trace_type_basis ( )

inline

Default constructor.

Member Function Documentation

◆ decompose()

Poly_vec ColorFull::Trace_type_basis::decompose ( const Col_amp & Ca )

virtual

A function for decomposing the color amplitude ca in the basis, returning the result as a Polynomial.

Reimplemented from ColorFull::Col_basis.

◆ find_parton()

std::pair<int,int> ColorFull::Trace_type_basis::find_parton	(	int	parton,
		int	vec_num,
		int	n_quark,
		int	n_gluon,
		int	n_loop
	)		const

protected

This function is only intended for special case of: 0 qqbar-pairs and Tree_level_gluon_basis or Trace_basis and 1-2 qqbar-pairs at tree level, i.e. n_loop must be 0. It locates the parton parton in the normal ordered basis, given the number of the vector vec_num, and the number of quarks and gluons in the basis. The function has been explicitly tested for Trace_basis with 1 qqbar-pair and up to 8 gluons and 2 qqbar-pairs and up to 7 gluons, and for Tree_level_gluon_bases with up to 9 gluons. The arguments n_quark and n_gluon has to be provided as it may be desirable to use the function with a different number of quarks and gluons than in the basis itself.

◆ new_vector_number()

int ColorFull::Trace_type_basis::new_vector_number	(	int	old_num,
		std::pair< int, int >	place,
		int	n_loop
	)		const

protected

Function for finding the new vector number in the basis with n_p+1 partons (this basis) after inserting a new gluon with larger parton number at the place place. This function is only intended for the special cases of 0 qqbar-pairs and Tree_level_gluon_basis or Trace_basis and 1-2 qqbar-pairs at tree level, i.e. n_loop must be 0. This function doesn't actually use the cb, but only calculates the the basis vector number using find_parton. The old vector has number old_num, and there were, before emission nq quarks (+ nq anti-quarks) and n_g-1 gluons, i.e. n_p=2 nq + n_g-1. The function has been explicitly tested for initial states with 2qqbar-pairs and up to 5 gluons, 1qqbar-pair and up to 7 gluons, 0 qqbar-pairs and up to 8 gluons.

◆ new_vector_numbers() [1/2]

std::pair<int, int> ColorFull::Trace_type_basis::new_vector_numbers	(	const Col_str &	Cs,
		int	emitter
	)

Function for finding the new vector numbers in the new basis (this trace basis) after radiating a new gluon from the parton emitter. The old color structure is Cs, and after emission a linear combination of new basis vectors is obtained. For emission from a quark or an anti-quark there is only one resulting color structure, and -1 is returned in the place of the absent color structure. The second vector, where the new gluon is inserted before the emitter, comes with a minus sign in the new total amplitude.

◆ new_vector_numbers() [2/2]

std::pair<int, int> ColorFull::Trace_type_basis::new_vector_numbers	(	int	old_num,
		int	emitter,
		int	n_loop
	)		const

This function is intended for tree-level processes with at most 2 qqbar-pairs. It finds the new vector numbers in the basis for n_p+1 partons after radiating a new gluon from the parton emitter. This function does not actually use the cb, but only calculates the basis vector number, which makes it much quicker than the general version. The old vector has number old_num, and there were, before emission, nq quarks (+ nq anti-quarks) and n_g-1 gluons, i.e. n_p=2 nq+ n_g-1. For emission from q or qbar there is only one resulting color structure, and -1 is returned in the place of the absent color structure. The second vector, where the new gluon is inserted before the emitter comes with a minus sign in the new total amplitude. The function has been explicitly tested against its sister function for initial states with 2 qqbar-pairs and up to 5 gluons, 1qqbar-pair and up to 7 gluons and 0 qqbar-pairs and up to 8 gluons.

Member Data Documentation

◆ max_ql

int ColorFull::Trace_type_basis::max_ql

protected

The maximal number of quark-lines allowed in the basis. This is used for constructing bases that only are valid up to a certain order in QCD, such that unused information need not be carried around.

The documentation for this class was generated from the following file:

/data/Documents/eclipse/workspace/ColorFull/Trace_type_basis.h

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Trace_type_basis()

Member Function Documentation

◆ decompose()

◆ find_parton()

◆ new_vector_number()

◆ new_vector_numbers() [1/2]

◆ new_vector_numbers() [2/2]

Member Data Documentation

◆ max_ql