A class for the PMNS matrix elements. More...

#include <PMNS.h>

Detailed Description

A class for the PMNS matrix elements.

Author: HEPfit Collaboration

Copyright: GNU General Public License

This is the class for defining the PMNS matrix and its elements with the Wolfenstein and Gilman parameterizations.

Definition at line 23 of file PMNS.h.

Public Member Functions
void	computePMNS (double s12_v, double s13_v, double s23_v, double delta_v, double alpha21_v, double alpha31_v)
	A set method to calculate the PMNS matrix from PMNS parameters. More...

double	getalpha21 ()
	A member for returning the value of the phase \( \alpha_{21} \). More...

double	getalpha31 ()
	A member for returning the value of the phase \( \alpha_{31} \). More...

double	getc12 () const
	A member for returning the value of the cosine of the PMNS parameter \( \theta_{12} \). More...

double	getc13 () const
	A member for returning the value of the cosine of the PMNS parameter \( \theta_{13} \). More...

double	getc23 () const
	A member for returning the value of the cosine of the PMNS parameter \( \theta_{23} \). More...

double	getdelta () const
	A member for returning the value of the PMNS parameter \( \delta \). More...

gslpp::matrix< gslpp::complex >	getPMNS () const
	A member for returning the PMNS matrix. More...

double	gets12 () const
	A member for returning the value of the sine of the PMNS parameter \( \theta_{12} \). More...

double	gets13 () const
	A member for returning the value of the sine of the PMNS parameter \( \theta_{13} \). More...

double	gets23 () const
	A member for returning the value of the sine of the PMNS parameter \( \theta_{23} \). More...

gslpp::complex	getU_e1 ()
	A member for returning the value of the CKM element \( U_{e1} \). More...

gslpp::complex	getU_e2 ()
	A member for returning the value of the CKM element \( U_{e2} \). More...

gslpp::complex	getU_e3 ()
	A member for returning the value of the CKM element \( U_{e3} \). More...

gslpp::complex	getU_mu1 ()
	A member for returning the value of the CKM element \( U_{\mu 1} \). More...

gslpp::complex	getU_mu2 ()
	A member for returning the value of the CKM element \( U_{\mu 2} \). More...

gslpp::complex	getU_mu3 ()
	A member for returning the value of the CKM element \( U_{\mu 3} \). More...

gslpp::complex	getU_tau1 ()
	A member for returning the value of the CKM element \( U_{\tau 1} \). More...

gslpp::complex	getU_tau2 ()
	A member for returning the value of the CKM element \( U_{\tau 2} \). More...

gslpp::complex	getU_tau3 ()
	A member for returning the value of the CKM element \( U_{\tau 3} \). More...

	PMNS ()

Private Attributes
double	alpha21

double	alpha31

double	c12

double	c13

double	c23

double	delta

double	s12

double	s13

double	s23

gslpp::matrix< gslpp::complex >	U

Constructor & Destructor Documentation

◆ PMNS()

PMNS::PMNS ( )

Definition at line 10 of file PMNS.cpp.

10 : U(3, 3)

11{}

PMNS::U

gslpp::matrix< gslpp::complex > U

Definition: PMNS.h:217

Member Function Documentation

◆ computePMNS()

void PMNS::computePMNS	(	double	s12_v,
		double	s13_v,
		double	s23_v,
		double	delta_v,
		double	alpha21_v,
		double	alpha31_v
	)

A set method to calculate the PMNS matrix from PMNS parameters.

Parameters

[in]	s12_v	the PMNS parameter \( \sin\theta_{12} \)
[in]	s13_v	the PMNS parameter \( \sin\theta_{13} \)
[in]	s23_v	the PMNS parameter \( \sin\theta_{23} \)
[in]	delta_v	the PMNS parameter \( \delta \)
[in]	alpha21_v	the PMNS parameter \( \alpha_{21} \)
[in]	alpha21_v	the PMNS parameter \( \alpha_{31} \)

Definition at line 13 of file PMNS.cpp.

{
    s12 = s12_v;
    s13 = s13_v;
    s23 = s23_v;
    c12 = sqrt(1. - s12 * s12);
    c13 = sqrt(1. - s13 * s13);
    c23 = sqrt(1. - s23 * s23);
    delta = delta_v;
    alpha21 = alpha21_v;
    alpha31 = alpha31_v;
    
    U.assign(0, 0, c12*c13);
    U.assign(0, 1, gslpp::complex(s12*c13, alpha21 / 2., true));
    U.assign(0, 2, gslpp::complex(s13, -delta + alpha31 / 2., true));
 
    U.assign(1, 0 , -s12 * c23 - gslpp::complex(c12 * s23*s13, delta, true));
    U.assign(1, 1, (c12 * c23 - gslpp::complex(s12 * s23*s13, delta, true)) *
                   gslpp::complex(1., alpha21 / 2., true));
    U.assign(1, 2, gslpp::complex(s23*c13, alpha31 / 2., true));
 
    U.assign(2, 0, s12 * s23 - gslpp::complex(c12 * c23*s13, delta, true));
    U.assign(2, 1, (-c12 * s23 - gslpp::complex(s12 * c23*s13, delta, true)) *
                    gslpp::complex(1., alpha21 / 2., true));
    U.assign(2, 2, gslpp::complex(c23*c13, alpha31 / 2., true));
 
}

◆ getalpha21()

double PMNS::getalpha21 ( )

inline

A member for returning the value of the phase \( \alpha_{21} \).

Returns: the value of \( \alpha_{21} \)

Definition at line 115 of file PMNS.h.

    {
        return alpha21;
    }

◆ getalpha31()

double PMNS::getalpha31 ( )

inline

A member for returning the value of the phase \( \alpha_{31} \).

Returns: the value of \( \alpha_{31} \)

Definition at line 124 of file PMNS.h.

    {
        return alpha31;
    }

◆ getc12()

double PMNS::getc12 ( ) const

inline

A member for returning the value of the cosine of the PMNS parameter \( \theta_{12} \).

Returns: the value of \( \cos\theta_{12} \)

Definition at line 79 of file PMNS.h.

    {
        return c12;
    }

◆ getc13()

double PMNS::getc13 ( ) const

inline

A member for returning the value of the cosine of the PMNS parameter \( \theta_{13} \).

Returns: the value of \( \cos\theta_{13} \)

Definition at line 97 of file PMNS.h.

    {
        return c13;
    }

◆ getc23()

double PMNS::getc23 ( ) const

inline

A member for returning the value of the cosine of the PMNS parameter \( \theta_{23} \).

Returns: the value of \( \cos\theta_{23} \)

Definition at line 88 of file PMNS.h.

    {
        return c23;
    }

◆ getdelta()

double PMNS::getdelta ( ) const

inline

A member for returning the value of the PMNS parameter \( \delta \).

Returns: the value of \( \delta \)

Definition at line 106 of file PMNS.h.

    {
        return delta;
    }

◆ getPMNS()

gslpp::matrix< gslpp::complex > PMNS::getPMNS ( ) const

inline

A member for returning the PMNS matrix.

Returns: the CKM matrix

Definition at line 42 of file PMNS.h.

    {
        return U;
    }

◆ gets12()

double PMNS::gets12 ( ) const

inline

A member for returning the value of the sine of the PMNS parameter \( \theta_{12} \).

Returns: the value of \( \sin\theta_{12} \)

Definition at line 52 of file PMNS.h.

    {
        return s12;
    }

◆ gets13()

double PMNS::gets13 ( ) const

inline

A member for returning the value of the sine of the PMNS parameter \( \theta_{13} \).

Returns: the value of \( \sin\theta_{13} \)

Definition at line 61 of file PMNS.h.

    {
        return s13;
    }

◆ gets23()

double PMNS::gets23 ( ) const

inline

A member for returning the value of the sine of the PMNS parameter \( \theta_{23} \).

Returns: the value of \( \sin\theta_{23} \)

Definition at line 70 of file PMNS.h.

    {
        return s23;
    }

◆ getU_e1()

gslpp::complex PMNS::getU_e1 ( )

inline

A member for returning the value of the CKM element \( U_{e1} \).

Returns: the value of \( U_{e1} \)

Definition at line 135 of file PMNS.h.

    {
        return U(0, 0);
    }

◆ getU_e2()

gslpp::complex PMNS::getU_e2 ( )

inline

A member for returning the value of the CKM element \( U_{e2} \).

Returns: the value of \( U_{e2} \)

Definition at line 144 of file PMNS.h.

    {
        return U(0, 1);
    }

◆ getU_e3()

gslpp::complex PMNS::getU_e3 ( )

inline

A member for returning the value of the CKM element \( U_{e3} \).

Returns: the value of \( U_{e3} \)

Definition at line 153 of file PMNS.h.

    {
        return U(0, 2);
    }

◆ getU_mu1()

gslpp::complex PMNS::getU_mu1 ( )

inline

A member for returning the value of the CKM element \( U_{\mu 1} \).

Returns: the value of \( U_{\mu 1} \)

Definition at line 162 of file PMNS.h.

    {
        return U(1, 0);
    }

◆ getU_mu2()

gslpp::complex PMNS::getU_mu2 ( )

inline

A member for returning the value of the CKM element \( U_{\mu 2} \).

Returns: the value of \( U_{\mu 2} \)

Definition at line 171 of file PMNS.h.

    {
        return U(1, 1);
    }

◆ getU_mu3()

gslpp::complex PMNS::getU_mu3 ( )

inline

A member for returning the value of the CKM element \( U_{\mu 3} \).

Returns: the value of \( U_{\mu 3} \)

Definition at line 180 of file PMNS.h.

    {
        return U(1, 2);
    }

◆ getU_tau1()

gslpp::complex PMNS::getU_tau1 ( )

inline

A member for returning the value of the CKM element \( U_{\tau 1} \).

Returns: the value of \( U_{\tau 1} \)

Definition at line 189 of file PMNS.h.

    {
        return U(2, 0);
    }

◆ getU_tau2()

gslpp::complex PMNS::getU_tau2 ( )

inline

A member for returning the value of the CKM element \( U_{\tau 2} \).

Returns: the value of \( U_{\tau 2} \)

Definition at line 198 of file PMNS.h.

    {
        return U(2, 1);
    }

◆ getU_tau3()

gslpp::complex PMNS::getU_tau3 ( )

inline

A member for returning the value of the CKM element \( U_{\tau 3} \).

Returns: the value of \( U_{\tau 3} \)

Definition at line 207 of file PMNS.h.

    {
        return U(2, 2);
    }

Member Data Documentation

◆ alpha21

double PMNS::alpha21

private

Definition at line 214 of file PMNS.h.

◆ alpha31

double PMNS::alpha31

private

Definition at line 214 of file PMNS.h.

◆ c12

double PMNS::c12

private

Definition at line 215 of file PMNS.h.

◆ c13

double PMNS::c13

private

Definition at line 215 of file PMNS.h.

◆ c23

double PMNS::c23

private

Definition at line 215 of file PMNS.h.

◆ delta

double PMNS::delta

private

Definition at line 214 of file PMNS.h.

◆ s12

double PMNS::s12

private

Definition at line 214 of file PMNS.h.

◆ s13

double PMNS::s13

private

Definition at line 214 of file PMNS.h.

◆ s23

double PMNS::s23

private

Definition at line 214 of file PMNS.h.

◆ U

gslpp::matrix<gslpp::complex> PMNS::U

private

Definition at line 217 of file PMNS.h.

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

Detailed Description

Public Member Functions

Private Attributes

Constructor & Destructor Documentation

◆ PMNS()

Member Function Documentation

◆ computePMNS()

◆ getalpha21()

◆ getalpha31()

◆ getc12()

◆ getc13()

◆ getc23()

◆ getdelta()

◆ getPMNS()

◆ gets12()

◆ gets13()

◆ gets23()

◆ getU_e1()

◆ getU_e2()

◆ getU_e3()

◆ getU_mu1()

◆ getU_mu2()

◆ getU_mu3()

◆ getU_tau1()

◆ getU_tau2()

◆ getU_tau3()

Member Data Documentation

◆ alpha21

◆ alpha31

◆ c12

◆ c13

◆ c23

◆ delta

◆ s12

◆ s13

◆ s23

◆ U