#include "scalar.h"
#include "special_generic.h"
#include "constants.h"

Include dependency graph for special_SM.h:

This graph shows which files directly or indirectly include this file:

Namespaces
namespace	BV

namespace	KP

Functions
double	H2 (double x, double y)
	Computes the two-variable function H2(x, y).

double	B (double m1, double m2, double Q)
	Computes the Passarino-Veltman scalar function B.

double	A0t (double x)
	Scalar one-loop Wilson coefficient A0t.

double	F0t (double x)
	Scalar one-loop Wilson coefficient F0t.

double	B0t (double x)
	Scalar one-loop Wilson coefficient B0t.

double	C0t (double x)
	Scalar one-loop Wilson coefficient C0t.

double	D0t (double x)
	Scalar one-loop Wilson coefficient D0t.

double	E0t (double x)
	Scalar one-loop Wilson coefficient E0t.

double	T (double x)
	Wilson coefficient T(x).

double	A1t (double x, double l)
	Wilson coefficient A1t depending on x and scale l.

double	B1t (double x, double l)
	Wilson coefficient B1t depending on x and scale l.

double	C1t (double x, double l)
	Wilson coefficient C1t depending on x and scale l.

double	D1t (double x, double l)
	Wilson coefficient D1t depending on x and scale l.

double	E1t (double x, double l)
	Wilson coefficient E1t depending on x and scale l.

double	F1t (double x, double l)
	Wilson coefficient F1t depending on x and scale l.

double	G1t (double x, double l)
	Wilson coefficient G1t depending on x and scale l.

double	C7t2mt (double x)
	Wilson coefficient C7t at 2m_t scale.

double	C7c2MW (double x)
	Wilson coefficient C7c at M_W scale.

double	C8t2mt (double x)
	Wilson coefficient C8t at 2m_t scale.

double	C8c2MW (double x)
	Wilson coefficient C8c at M_W scale.

double	F7_1 (double x)
	Wilson coefficient F7_1.

double	F7_2 (double x)
	Wilson coefficient F7_2.

double	F8_1 (double x)
	Wilson coefficient F8_1.

double	F8_2 (double x)
	Wilson coefficient F8_2.

double	G3H (double x, double lu)
	Wilson coefficient G3H depending on x and lu.

double	G4H (double x, double lu)
	Wilson coefficient G4H depending on x and lu.

double	G7H (double x, double lu, double ld)
	Wilson coefficient G7H depending on x, lu, and ld.

double	G8H (double x, double lu, double ld)
	Wilson coefficient G8H depending on x, lu, and ld.

double	EH (double x, double lu)
	Wilson coefficient EH depending on x and lu.

double	D9H0 (double x, double lu)
	Wilson coefficient D9H0 depending on x and lu.

double	D9H1 (double x, double lu, double L)
	Wilson coefficient D9H1 depending on x, lu, and L.

double	Delta3H (double x, double lu)
	Wilson coefficient Delta3H depending on x and lu.

double	Delta4H (double x, double lu)
	Wilson coefficient Delta4H depending on x and lu.

double	Delta7H (double x, double lu, double ld)
	Wilson coefficient Delta7H depending on x, lu, and ld.

double	Delta8H (double x, double lu, double ld)
	Wilson coefficient Delta8H depending on x, lu, and ld.

double	C9llH0 (double x, double y, double lu)
	Wilson coefficient C9llH0 depending on x, y, and lu.

double	C9llH1 (double x, double y, double lu, double L)
	Wilson coefficient C9llH1 depending on x, y, lu, and L.

double	C10Wt2mt (double x)
	Wilson coefficient C10Wt at 2m_t scale.

double	C10Wc2MW (double x)
	Wilson coefficient C10Wc at M_W scale.

double	C10Zt2mt (double x)
	Wilson coefficient C10Zt at 2m_t scale.

double	C10Z2tri (double x)
	Wilson coefficient C10Z from triangle diagrams.

double	F0SP (double xt)
	Wilson coefficient F0SP depending on xt.

double	S0 (double x)
	Wilson special function S0 depending on xt.

double	D0 (double w, double x, double y, double z)
	Wilson special function D0 depending on 4 parameters.

double	D2p (double w, double x, double y, double z)
	Wilson special function D2p depending on 4 parameters.

void	getDelta (scalar_t delta[6][6], scalar_t Z[6][6], double M[6], double m_av, scalar_t delta_LL[3][3], scalar_t delta_LR[3][3], scalar_t delta_RL[3][3], scalar_t delta_RR[3][3])
	Wilson special function getDelta.

double	h3 (double x)
	Wilson special function h3 depending on x.

double	h1 (double x)
	Wilson special function h1 depending on x.

double	h4 (double x, double y)
	Wilson special function h4 depending on x and y.

double	f (double x)
	Wilson special function f depending on x.

double	Y0 (double xt)

double	Y1 (double xt, double mu, double mass_W)

double	X0 (double xt)

double	X1 (double xt, double mu, double mass_W)

double	psi (int n)

complex_t	BV::A_Seidel (double s_hat, double L_b)

complex_t	BV::B_Seidel (double s_hat, double L_b)

complex_t	BV::C_Seidel (double s, double mu_b)

complex_t	BV::f_17 (double s_hat, double L_b, double z, size_t max_pow=20)

complex_t	BV::f_27 (double s_hat, double L_b, double z, size_t max_pow=20)

complex_t	BV::f_27_u (double s_hat, double L_b)

complex_t	BV::f_19_PS (double s_hat, double L_b, double z, size_t max_pow=20)

complex_t	BV::f_19_1S (double s_hat, double L_b, double z, size_t max_pow=20)

complex_t	BV::f_19_u (double s_hat, double L_b)

complex_t	BV::f_29_PS (double s_hat, double L_b, double z, size_t max_pow=20)

complex_t	BV::f_29_1S (double s_hat, double L_b, double z, size_t max_pow=20)

complex_t	BV::f_29_u (double s_hat, double L_b)

complex_t	BV::f_87 (double s_hat, double L_b)

complex_t	BV::f_89 (double s_hat)

complex_t	BV::h (double s, double m_q, double mu_b)

complex_t	BV::B_0 (double s, double m_q)

complex_t	BV::L_1 (complex_t x)

complex_t	BV::I_1 (double u, double s_hat, double m_q_hat)

complex_t	BV::G (double x_bar, double z)

complex_t	BV::hard_kernel (double u, double z)

complex_t	BV::G2 (double z, double L_b)

complex_t	BV::G8 (double L_b)

complex_t	KP::F (double z)

complex_t	KP::G (double z)

complex_t	KP::H (double z, double r_P)

Function Documentation

◆ A0t()

double A0t ( double x )

Scalar one-loop Wilson coefficient A0t.

Parameters

x	Input parameter.

Returns: Coefficient A0t(x).

Definition at line 758 of file special_SM.cpp.

◆ A1t()

double A1t	(	double	x,
		double	l
	)

Wilson coefficient A1t depending on x and scale l.

Parameters

x	Input parameter.
l	Logarithmic scale.

Returns: Coefficient A1t(x, l).

Definition at line 765 of file special_SM.cpp.

◆ B()

double B	(	double	m1,
		double	m2,
		double	Q
	)

Computes the Passarino-Veltman scalar function B.

Parameters

m1	First mass.
m2	Second mass.
Q	Energy scale.

Returns: Result of the B function.

Definition at line 908 of file special_SM.cpp.

◆ B0t()

double B0t ( double x )

Scalar one-loop Wilson coefficient B0t.

Parameters

x	Input parameter.

Returns: Coefficient B0t(x).

Definition at line 775 of file special_SM.cpp.

◆ B1t()

double B1t	(	double	x,
		double	l
	)

Wilson coefficient B1t depending on x and scale l.

Parameters

x	Input parameter.
l	Logarithmic scale.

Returns: Coefficient B1t(x, l).

Definition at line 796 of file special_SM.cpp.

◆ C0t()

double C0t ( double x )

Scalar one-loop Wilson coefficient C0t.

Parameters

x	Input parameter.

Returns: Coefficient C0t(x).

Definition at line 782 of file special_SM.cpp.

◆ C10Wc2MW()

double C10Wc2MW ( double x )

Wilson coefficient C10Wc at M_W scale.

Parameters

x	Input parameter.

Returns: Coefficient C10Wc(M_W).

Definition at line 1116 of file special_SM.cpp.

◆ C10Wt2mt()

double C10Wt2mt ( double x )

Wilson coefficient C10Wt at 2m_t scale.

Parameters

x	Input parameter.

Returns: Coefficient C10Wt(2m_t).

Definition at line 1104 of file special_SM.cpp.

◆ C10Z2tri()

double C10Z2tri ( double x )

Wilson coefficient C10Z from triangle diagrams.

Parameters

x	Input parameter.

Returns: Coefficient C10Z (triangle contribution).

Definition at line 1138 of file special_SM.cpp.

◆ C10Zt2mt()

double C10Zt2mt ( double x )

Wilson coefficient C10Zt at 2m_t scale.

Parameters

x	Input parameter.

Returns: Coefficient C10Zt(2m_t).

Definition at line 1127 of file special_SM.cpp.

◆ C1t()

double C1t	(	double	x,
		double	l
	)

Wilson coefficient C1t depending on x and scale l.

Parameters

x	Input parameter.
l	Logarithmic scale.

Returns: Coefficient C1t(x, l).

Definition at line 805 of file special_SM.cpp.

◆ C7c2MW()

double C7c2MW ( double x )

Wilson coefficient C7c at M_W scale.

Parameters

x	Input parameter.

Returns: Coefficient C7c(M_W).

Definition at line 1057 of file special_SM.cpp.

◆ C7t2mt()

double C7t2mt ( double x )

Wilson coefficient C7t at 2m_t scale.

Parameters

x	Input parameter.

Returns: Coefficient C7t(2m_t).

Definition at line 1042 of file special_SM.cpp.

◆ C8c2MW()

double C8c2MW ( double x )

Wilson coefficient C8c at M_W scale.

Parameters

x	Input parameter.

Returns: Coefficient C8c(M_W).

Definition at line 1090 of file special_SM.cpp.

◆ C8t2mt()

double C8t2mt ( double x )

Wilson coefficient C8t at 2m_t scale.

Parameters

x	Input parameter.

Returns: Coefficient C8t(2m_t).

Definition at line 1073 of file special_SM.cpp.

◆ C9llH0()

double C9llH0	(	double	x,
		double	y,
		double	lu
	)

Wilson coefficient C9llH0 depending on x, y, and lu.

Parameters

x	First input parameter.
y	Second input parameter.
lu	Logarithmic scale.

Returns: Coefficient C9llH0(x, y, lu).

Definition at line 997 of file special_SM.cpp.

◆ C9llH1()

double C9llH1	(	double	x,
		double	y,
		double	lu,
		double	L
	)

Wilson coefficient C9llH1 depending on x, y, lu, and L.

Parameters

x	First input parameter.
y	Second input parameter.
lu	Logarithmic scale.
L	Additional scale or parameter.

Returns: Coefficient C9llH1(x, y, lu, L).

Definition at line 1017 of file special_SM.cpp.

◆ D0()

double D0	(	double	w,
		double	x,
		double	y,
		double	z
	)

Wilson special function D0 depending on 4 parameters.

Parameters

w	Input parameter.
x	Input parameter.
y	Input parameter.
z	Input parameter.

Returns: Value of D0(w,x,y,z).

Definition at line 1165 of file special_SM.cpp.

◆ D0t()

double D0t ( double x )

Scalar one-loop Wilson coefficient D0t.

Parameters

x	Input parameter.

Returns: Coefficient D0t(x).

Definition at line 789 of file special_SM.cpp.

◆ D1t()

double D1t	(	double	x,
		double	l
	)

Wilson coefficient D1t depending on x and scale l.

Parameters

x	Input parameter.
l	Logarithmic scale.

Returns: Coefficient D1t(x, l).

Definition at line 812 of file special_SM.cpp.

◆ D2p()

double D2p	(	double	w,
		double	x,
		double	y,
		double	z
	)

Wilson special function D2p depending on 4 parameters.

Parameters

w	Input parameter.
x	Input parameter.
y	Input parameter.
z	Input parameter.

Returns: Value of D2p(w,x,y,z).

Definition at line 1192 of file special_SM.cpp.

◆ D9H0()

double D9H0	(	double	x,
		double	lu
	)

Wilson coefficient D9H0 depending on x and lu.

Parameters

x	Input parameter.
lu	Logarithmic scale.

Returns: Coefficient D9H0(x, lu).

Definition at line 1007 of file special_SM.cpp.

◆ D9H1()

double D9H1	(	double	x,
		double	lu,
		double	L
	)

Wilson coefficient D9H1 depending on x, lu, and L.

Parameters

x	Input parameter.
lu	Logarithmic scale.
L	Additional scale or parameter.

Returns: Coefficient D9H1(x, lu, L).

Definition at line 1029 of file special_SM.cpp.

◆ Delta3H()

double Delta3H	(	double	x,
		double	lu
	)

Wilson coefficient Delta3H depending on x and lu.

Parameters

x	Input parameter.
lu	Logarithmic scale.

Returns: Coefficient Delta3H(x, lu).

Definition at line 989 of file special_SM.cpp.

◆ Delta4H()

double Delta4H	(	double	x,
		double	lu
	)

Wilson coefficient Delta4H depending on x and lu.

Parameters

x	Input parameter.
lu	Logarithmic scale.

Returns: Coefficient Delta4H(x, lu).

Definition at line 972 of file special_SM.cpp.

◆ Delta7H()

double Delta7H	(	double	x,
		double	lu,
		double	ld
	)

Wilson coefficient Delta7H depending on x, lu, and ld.

Parameters

x	Input parameter.
lu	Upper log scale.
ld	Lower log scale.

Returns: Coefficient Delta7H(x, lu, ld).

Definition at line 929 of file special_SM.cpp.

◆ Delta8H()

double Delta8H	(	double	x,
		double	lu,
		double	ld
	)

Wilson coefficient Delta8H depending on x, lu, and ld.

Parameters

x	Input parameter.
lu	Upper log scale.
ld	Lower log scale.

Returns: Coefficient Delta8H(x, lu, ld).

Definition at line 948 of file special_SM.cpp.

◆ E0t()

double E0t ( double x )

Scalar one-loop Wilson coefficient E0t.

Parameters

x	Input parameter.

Returns: Coefficient E0t(x).

Definition at line 838 of file special_SM.cpp.

◆ E1t()

double E1t	(	double	x,
		double	l
	)

Wilson coefficient E1t depending on x and scale l.

Parameters

x	Input parameter.
l	Logarithmic scale.

Returns: Coefficient E1t(x, l).

Definition at line 855 of file special_SM.cpp.

◆ EH()

double EH	(	double	x,
		double	lu
	)

Wilson coefficient EH depending on x and lu.

Parameters

x	Input parameter.
lu	Logarithmic scale.

Returns: Coefficient EH(x, lu).

Definition at line 956 of file special_SM.cpp.

◆ f()

double f ( double x )

Wilson special function f depending on x.

Parameters

x	Input parameter.

Returns: Value of f(x).

Definition at line 1271 of file special_SM.cpp.

◆ F0SP()

double F0SP ( double xt )

Wilson coefficient F0SP depending on xt.

Parameters

xt	Input parameter.

Returns: Coefficient F0SP(xt).

Definition at line 1151 of file special_SM.cpp.

◆ F0t()

double F0t ( double x )

Scalar one-loop Wilson coefficient F0t.

Parameters

x	Input parameter.

Returns: Coefficient F0t(x).

Definition at line 820 of file special_SM.cpp.

◆ F1t()

double F1t	(	double	x,
		double	l
	)

Wilson coefficient F1t depending on x and scale l.

Parameters

x	Input parameter.
l	Logarithmic scale.

Returns: Coefficient F1t(x, l).

Definition at line 828 of file special_SM.cpp.

◆ F7_1()

double F7_1 ( double x )

Wilson coefficient F7_1.

Parameters

x	Input parameter.

Returns: Coefficient F7_1(x).

Definition at line 873 of file special_SM.cpp.

◆ F7_2()

double F7_2 ( double x )

Wilson coefficient F7_2.

Parameters

x	Input parameter.

Returns: Coefficient F7_2(x).

Definition at line 880 of file special_SM.cpp.

◆ F8_1()

double F8_1 ( double x )

Wilson coefficient F8_1.

Parameters

x	Input parameter.

Returns: Coefficient F8_1(x).

Definition at line 887 of file special_SM.cpp.

◆ F8_2()

double F8_2 ( double x )

Wilson coefficient F8_2.

Parameters

x	Input parameter.

Returns: Coefficient F8_2(x).

Definition at line 894 of file special_SM.cpp.

◆ G1t()

double G1t	(	double	x,
		double	l
	)

Wilson coefficient G1t depending on x and scale l.

Parameters

x	Input parameter.
l	Logarithmic scale.

Returns: Coefficient G1t(x, l).

Definition at line 845 of file special_SM.cpp.

◆ G3H()

double G3H	(	double	x,
		double	lu
	)

Wilson coefficient G3H depending on x and lu.

Parameters

x	Input parameter.
lu	Logarithmic scale.

Returns: Coefficient G3H(x, lu).

Definition at line 980 of file special_SM.cpp.

◆ G4H()

double G4H	(	double	x,
		double	lu
	)

Wilson coefficient G4H depending on x and lu.

Parameters

x	Input parameter.
lu	Logarithmic scale.

Returns: Coefficient G4H(x, lu).

Definition at line 963 of file special_SM.cpp.

◆ G7H()

double G7H	(	double	x,
		double	lu,
		double	ld
	)

Wilson coefficient G7H depending on x, lu, and ld.

Parameters

x	Input parameter.
lu	Upper log scale.
ld	Lower log scale.

Returns: Coefficient G7H(x, lu, ld).

Definition at line 919 of file special_SM.cpp.

◆ G8H()

double G8H	(	double	x,
		double	lu,
		double	ld
	)

Wilson coefficient G8H depending on x, lu, and ld.

Parameters

x	Input parameter.
lu	Upper log scale.
ld	Lower log scale.

Returns: Coefficient G8H(x, lu, ld).

Definition at line 938 of file special_SM.cpp.

◆ getDelta()

void getDelta	(	scalar_t	delta[6][6],
		scalar_t	Z[6][6],
		double	M[6],
		double	m_av,
		scalar_t	delta_LL[3][3],
		scalar_t	delta_LR[3][3],
		scalar_t	delta_RL[3][3],
		scalar_t	delta_RR[3][3]
	)

Wilson special function getDelta.

Parameters

delta	Input parameter.
Z	Input parameter.
M	Input parameter.
m_av	Input parameter.
delta_LL	Input parameter.
delta_LR	Input parameter.
delta_RL	Input parameter.
delta_RR	Input parameter.

Returns: Value of getDelta.

Definition at line 1219 of file special_SM.cpp.

◆ h1()

double h1 ( double x )

Wilson special function h1 depending on x.

Parameters

x	Input parameter.

Returns: Value of h1(x).

Definition at line 1255 of file special_SM.cpp.

◆ H2()

double H2	(	double	x,
		double	y
	)

Computes the two-variable function H2(x, y).

Parameters

x	First input.
y	Second input.

Returns: Result of H2.

Definition at line 901 of file special_SM.cpp.

◆ h3()

double h3 ( double x )

Wilson special function h3 depending on x.

Parameters

x	Input parameter.

Returns: Value of h3(x).

Definition at line 1249 of file special_SM.cpp.

◆ h4()

double h4	(	double	x,
		double	y
	)

Wilson special function h4 depending on x and y.

Parameters

x	Input parameter.
y	Input parameter.

Returns: Value of h4(x,y).

Definition at line 1261 of file special_SM.cpp.

◆ psi()

double psi ( int n )

Definition at line 1306 of file special_SM.cpp.

◆ S0()

double S0 ( double x )

Wilson special function S0 depending on xt.

Parameters

xt	Input parameter.

Returns: Value of S0(xt).

Definition at line 1159 of file special_SM.cpp.

◆ T()

double T ( double x )

Wilson coefficient T(x).

Parameters

x	Input parameter.

Returns: Coefficient T(x).

Definition at line 866 of file special_SM.cpp.

◆ X0()

double X0 ( double xt )

Definition at line 1292 of file special_SM.cpp.

◆ X1()

double X1	(	double	xt,
		double	mu,
		double	mass_W
	)

Definition at line 1299 of file special_SM.cpp.

◆ Y0()

double Y0 ( double xt )

Definition at line 1279 of file special_SM.cpp.

◆ Y1()

double Y1	(	double	xt,
		double	mu,
		double	mass_W
	)

Definition at line 1285 of file special_SM.cpp.

Namespaces

Functions

Function Documentation

◆ A0t()

◆ A1t()

◆ B()

◆ B0t()

◆ B1t()

◆ C0t()

◆ C10Wc2MW()

◆ C10Wt2mt()

◆ C10Z2tri()

◆ C10Zt2mt()

◆ C1t()

◆ C7c2MW()

◆ C7t2mt()

◆ C8c2MW()

◆ C8t2mt()

◆ C9llH0()

◆ C9llH1()

◆ D0()

◆ D0t()

◆ D1t()

◆ D2p()

◆ D9H0()

◆ D9H1()

◆ Delta3H()

◆ Delta4H()

◆ Delta7H()

◆ Delta8H()

◆ E0t()

◆ E1t()

◆ EH()

◆ f()

◆ F0SP()

◆ F0t()

◆ F1t()

◆ F7_1()

◆ F7_2()

◆ F8_1()

◆ F8_2()

◆ G1t()

◆ G3H()

◆ G4H()

◆ G7H()

◆ G8H()

◆ getDelta()

◆ h1()

◆ H2()

◆ h3()

◆ h4()

◆ psi()

◆ S0()

◆ T()

◆ X0()

◆ X1()

◆ Y0()

◆ Y1()