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

#include <CKM.h>

Collaboration diagram for CKM:

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Detailed Description

A class for the CKM matrix elements.

Author: HEPfit Collaboration

Copyright: GNU General Public License

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

Definition at line 23 of file CKM.h.

Public Member Functions
	CKM ()

	CKM (const CKM &)

double	computeAlpha ()

double	computeBeta ()

double	computeBetas ()

double	computeGamma ()

gslpp::complex	computelamc ()

gslpp::complex	computelamc_d ()

gslpp::complex	computelamc_s ()

gslpp::complex	computelamt ()

gslpp::complex	computelamt_d ()

gslpp::complex	computelamt_s ()

gslpp::complex	computelamu ()

gslpp::complex	computelamu_d ()

gslpp::complex	computelamu_s ()

double	getA () const

double	getArgVcb ()

double	getArgVcd ()

double	getArgVcs ()

double	getArgVtb ()

double	getArgVtd ()

double	getArgVts ()

double	getArgVub ()

double	getArgVud ()

double	getArgVus ()

double	getc12 ()

double	getc13 ()

double	getc23 ()

void	getCKM (gslpp::matrix< gslpp::complex > &) const

double	getdelta ()

double	getEta () const

double	getEtaNB ()

double	getJcp ()

double	getLambda () const

double	getRb ()

double	getRho () const

double	getRhoNB ()

double	getRt ()

double	getRts ()

double	gets12 ()

double	gets13 ()

double	gets23 ()

double	getVcb ()

double	getVcd ()

double	getVcs ()

double	getVtb ()

double	getVtd ()

double	getVts ()

double	getVub ()

double	getVud ()

double	getVus ()

void	setCKM (double, double, double, double)

void	setCKM (gslpp::matrix< gslpp::complex > &)

void	setWolfenstein (double, double, double, double)

gslpp::complex	V_cb ()

gslpp::complex	V_cd ()

gslpp::complex	V_cs ()

gslpp::complex	V_tb ()

gslpp::complex	V_td ()

gslpp::complex	V_ts ()

gslpp::complex	V_ub ()

gslpp::complex	V_ud ()

gslpp::complex	V_us ()

	~CKM ()

Private Attributes
double	A

double	c12

double	c13

double	c23

double	delta

double	Eta

double	Lambda

double	Rho

double	s12

double	s13

double	s23

gslpp::complex	Vcb

gslpp::complex	Vcd

gslpp::complex	Vcs

gslpp::complex	Vtb

gslpp::complex	Vtd

gslpp::complex	Vts

gslpp::complex	Vub

gslpp::complex	Vud

gslpp::complex	Vus

Constructor & Destructor Documentation

CKM::CKM ( )

Definition at line 10 of file CKM.cpp.

11 {

12 }

CKM::CKM ( const CKM & orig )

Definition at line 14 of file CKM.cpp.

 {
     Rho = orig.Rho;
     Eta = orig.Eta;
     Lambda = orig.Lambda;
     A = orig.A;
 
     s12 = orig.s12;
     s13 = orig.s13;
     s23 = orig.s23;
     delta = orig.delta;
     c12 = orig.c12;
     c23 = orig.c23;
     c13 = orig.c13;
 
     Vud = orig.Vud;
     Vcd = orig.Vcd;
     Vtd = orig.Vtd;
     Vus = orig.Vus;
     Vcs = orig.Vcs;
     Vts = orig.Vts;
     Vub = orig.Vub;
     Vcb = orig.Vcb;
     Vtb = orig.Vtb;
 
 }

CKM::~CKM ( )

Definition at line 41 of file CKM.cpp.

42 {

43 }

Member Function Documentation

double CKM::computeAlpha ( )

Definition at line 326 of file CKM.cpp.

 {
     return (-Vtd*Vtb.conjugate()/(Vud*Vub.conjugate())).arg();
 }

double CKM::computeBeta ( )

Definition at line 316 of file CKM.cpp.

 {
     return (-Vcd*Vcb.conjugate()/(Vtd*Vtb.conjugate())).arg();
 }

double CKM::computeBetas ( )

Definition at line 331 of file CKM.cpp.

 {
     return (-Vts*Vtb.conjugate()/(Vcs*Vcb.conjugate())).arg();
 }

double CKM::computeGamma ( )

Definition at line 321 of file CKM.cpp.

 {
     return (-Vud*Vub.conjugate()/(Vcd*Vcb.conjugate())).arg();
 }

gslpp::complex CKM::computelamc ( )

Definition at line 343 of file CKM.cpp.

 {
     return Vcd*Vcs.conjugate();
 }

gslpp::complex CKM::computelamc_d ( )

Definition at line 359 of file CKM.cpp.

 {
     return Vcd*Vcb.conjugate();
 }

gslpp::complex CKM::computelamc_s ( )

Definition at line 375 of file CKM.cpp.

 {
     return Vcs*Vcb.conjugate();
 }

gslpp::complex CKM::computelamt ( )

Definition at line 338 of file CKM.cpp.

 {
     return Vtd*Vts.conjugate();
 }

gslpp::complex CKM::computelamt_d ( )

Definition at line 354 of file CKM.cpp.

 {
     return Vtd*Vtb.conjugate();
 }

gslpp::complex CKM::computelamt_s ( )

Definition at line 370 of file CKM.cpp.

 {
     return Vts*Vtb.conjugate();
 }

gslpp::complex CKM::computelamu ( )

Definition at line 348 of file CKM.cpp.

 {
     return Vud*Vus.conjugate();
 }

gslpp::complex CKM::computelamu_d ( )

Definition at line 364 of file CKM.cpp.

 {
     return Vud*Vub.conjugate();
 }

gslpp::complex CKM::computelamu_s ( )

Definition at line 380 of file CKM.cpp.

 {
     return Vus*Vub.conjugate();
 }

double CKM::getA ( ) const

Definition at line 161 of file CKM.cpp.

 {
     return A;
 }

double CKM::getArgVcb ( )

Definition at line 294 of file CKM.cpp.

 {
     return Vcb.arg();
 }

double CKM::getArgVcd ( )

Definition at line 284 of file CKM.cpp.

 {
     return Vcd.arg();
 }

double CKM::getArgVcs ( )

Definition at line 289 of file CKM.cpp.

 {
     return Vcs.arg();
 }

double CKM::getArgVtb ( )

Definition at line 309 of file CKM.cpp.

 {
     return Vtb.arg();
 }

double CKM::getArgVtd ( )

Definition at line 299 of file CKM.cpp.

 {
     return Vtd.arg();
 }

double CKM::getArgVts ( )

Definition at line 304 of file CKM.cpp.

 {
     return Vts.arg();
 }

double CKM::getArgVub ( )

Definition at line 279 of file CKM.cpp.

 {
     return Vub.arg();
 }

double CKM::getArgVud ( )

Definition at line 269 of file CKM.cpp.

 {
     return Vud.arg();
 }

double CKM::getArgVus ( )

Definition at line 274 of file CKM.cpp.

 {
     return Vus.arg();
 }

double CKM::getc12 ( )

Definition at line 193 of file CKM.cpp.

 {
     return c12;
 }

double CKM::getc13 ( )

Definition at line 203 of file CKM.cpp.

 {
     return c13;
 }

double CKM::getc23 ( )

Definition at line 198 of file CKM.cpp.

 {
     return c23;
 }

void CKM::getCKM ( gslpp::matrix< gslpp::complex > & x ) const

Definition at line 58 of file CKM.cpp.

 {
     x.assign(0, 0, Vud);
     x.assign(0, 1, Vus);
     x.assign(0, 2, Vub);
     x.assign(1, 0, Vcd);
     x.assign(1, 1, Vcs);
     x.assign(1, 2, Vcb);
     x.assign(2, 0, Vtd);
     x.assign(2, 1, Vts);
     x.assign(2, 2, Vtb);
 }

double CKM::getdelta ( )

Definition at line 208 of file CKM.cpp.

 {
     return delta;
 }

double CKM::getEta ( ) const

Definition at line 151 of file CKM.cpp.

 {
     return Eta;
 }

double CKM::getEtaNB ( )

Definition at line 171 of file CKM.cpp.

 {
     return (s13 * sin(delta) / s12 / s23);
 }

double CKM::getJcp ( )

Definition at line 215 of file CKM.cpp.

 {
     return Eta * pow(A * pow(Lambda, 3), 2);
 }

double CKM::getLambda ( ) const

Definition at line 156 of file CKM.cpp.

 {
     return Lambda;
 }

double CKM::getRb ( )

Definition at line 443 of file CKM.cpp.

 {
     return (Vud*Vub.conjugate()/(Vcd*Vcb.conjugate())).abs();
 }

double CKM::getRho ( ) const

Definition at line 146 of file CKM.cpp.

 {
     return Rho;
 }

double CKM::getRhoNB ( )

Definition at line 166 of file CKM.cpp.

 {
     return (s13 * cos(delta) / s12 / s23);
 }

double CKM::getRt ( )

Definition at line 434 of file CKM.cpp.

 {
     return (Vtd*Vtb.conjugate()/(Vcd*Vcb.conjugate())).abs();
 }

double CKM::getRts ( )

Definition at line 438 of file CKM.cpp.

 {
     return (Vts*Vtb.conjugate()/(Vcs*Vcb.conjugate())).abs();
 }

double CKM::gets12 ( )

Definition at line 178 of file CKM.cpp.

 {
     return getLambda();
 }

double CKM::gets13 ( )

Definition at line 183 of file CKM.cpp.

 {
     return s13;
 }

double CKM::gets23 ( )

Definition at line 188 of file CKM.cpp.

 {
     return s23;
 }

double CKM::getVcb ( )

Definition at line 247 of file CKM.cpp.

 {
     return Vcb.abs();
 }

double CKM::getVcd ( )

Definition at line 237 of file CKM.cpp.

 {
     return Vcd.abs();
 }

double CKM::getVcs ( )

Definition at line 242 of file CKM.cpp.

 {
     return Vcs.abs();
 }

double CKM::getVtb ( )

Definition at line 262 of file CKM.cpp.

 {
     return Vtb.abs();
 }

double CKM::getVtd ( )

Definition at line 252 of file CKM.cpp.

 {
     return Vtd.abs();
 }

double CKM::getVts ( )

Definition at line 257 of file CKM.cpp.

 {
     return Vts.abs();
 }

double CKM::getVub ( )

Definition at line 232 of file CKM.cpp.

 {
     return Vub.abs();
 }

double CKM::getVud ( )

Definition at line 222 of file CKM.cpp.

 {
     return Vud.abs();
 }

double CKM::getVus ( )

Definition at line 227 of file CKM.cpp.

 {
     return Vus.abs();
 }

void CKM::setCKM	(	double	Vud_v,
		double	Vcb_v,
		double	Vub_v,
		double	gamma_v
	)

Definition at line 110 of file CKM.cpp.

 {
     s13 = Vub_v;
     c13 = sqrt(1. - s13 * s13);
     c12 = Vud_v / c13;
     s12 = sqrt(1. - c12 * c12);
     s23 = Vcb_v / c13;
     c23 = sqrt(1. - s23 * s23);
     double a = c12 * s13 * s23 / s12 / c23;
     delta = 2. * atan((1. + sqrt(1. - (a * a - 1.) * pow(tan(gamma_v), 2.))*(cos(gamma_v) < 0. ? 1. : (-1.))) / (a - 1.) / tan(gamma_v));
 
     Vud = gslpp::complex(c12*c13, 0.);
     Vus = gslpp::complex(s12*c13, 0.);
     Vub = gslpp::complex(s13, -delta, true);
 
     Vcd = -s12 * c23 - gslpp::complex(c12 * s23*s13, delta, true);
     Vcs = c12 * c23 - gslpp::complex(s12 * s23*s13, delta, true);
     Vcb = gslpp::complex(s23*c13, 0.);
 
     Vtd = s12 * s23 - gslpp::complex(c12 * c23*s13, delta, true);
     Vts = -c12 * s23 - gslpp::complex(s12 * c23*s13, delta, true);
     Vtb = gslpp::complex(c23*c13, 0.);
 
     // Wolfenstein to all orders
     Lambda = s12;
     A = s23 / Lambda / Lambda;
     gslpp::complex Rb = Vud * Vub.conjugate() / (Vcd * Vcb.conjugate());
     Rho = -Rb.real();
     Eta = -Rb.imag();
 
     //  std::cout << Lambda << " " << A << " " << Rho << " " << Eta << std::endl;
     return;
 }

void CKM::setCKM ( gslpp::matrix< gslpp::complex > & x )

Definition at line 45 of file CKM.cpp.

 {
     Vud = x(0, 0);
     Vus = x(0, 1);
     Vub = x(0, 2);
     Vcd = x(1, 0);
     Vcs = x(1, 1);
     Vcb = x(1, 2);
     Vtd = x(2, 0);
     Vts = x(2, 1);
     Vtb = x(2, 2);
 }

void CKM::setWolfenstein	(	double	Lambda_v,
		double	A_v,
		double	Rho_v,
		double	Eta_v
	)

Definition at line 71 of file CKM.cpp.

 {
     Rho = Rho_v;
     Eta = Eta_v;
     Lambda = Lambda_v;
     A = A_v;
 
     gslpp::complex num(Rho, Eta);
     num = num * sqrt(1. - pow(A, 2.) * pow(Lambda, 4.));
     gslpp::complex den = sqrt(1. - pow(Lambda, 2.)) * gslpp::complex(1. - pow(A, 2.) * pow(Lambda, 4.) * Rho, -pow(A, 2.) * pow(Lambda, 4.) * Eta);
     gslpp::complex ratio = num / den;
 
     double rho_nb = ratio.real();
     double eta_nb = ratio.imag();
 
     s12 = Lambda;
     s23 = A * pow(Lambda, 2.);
     s13 = (gslpp::complex(A * pow(Lambda, 3.) * rho_nb, -A * pow(Lambda, 3.) * eta_nb)).abs();
     delta = -(gslpp::complex(A * pow(Lambda, 3.) * rho_nb, -A * pow(Lambda, 3.) * eta_nb)).arg();
 
     c12 = sqrt(1. - pow(s12, 2.));
     c23 = sqrt(1. - pow(s23, 2.));
     c13 = sqrt(1. - pow(s13, 2.));
 
     Vud = gslpp::complex(c12*c13, 0.);
     Vus = gslpp::complex(s12*c13, 0.);
     Vub = gslpp::complex(s13, -delta, true);
 
     Vcd = -s12 * c23 - gslpp::complex(c12 * s23*s13, delta, true);
     Vcs = c12 * c23 - gslpp::complex(s12 * s23*s13, delta, true);
     Vcb = gslpp::complex(s23*c13, 0.);
 
     Vtd = s12 * s23 - gslpp::complex(c12 * c23*s13, delta, true);
     Vts = -c12 * s23 - gslpp::complex(s12 * c23*s13, delta, true);
     Vtb = gslpp::complex(c23*c13, 0.);
 
     return;
 }

gslpp::complex CKM::V_cb ( )

Definition at line 413 of file CKM.cpp.

 {
     return Vcb;
 }

gslpp::complex CKM::V_cd ( )

Definition at line 403 of file CKM.cpp.

 {
     return Vcd;
 }

gslpp::complex CKM::V_cs ( )

Definition at line 408 of file CKM.cpp.

 {
     return Vcs;
 }

gslpp::complex CKM::V_tb ( )

Definition at line 428 of file CKM.cpp.

 {
     return Vtb;
 }

gslpp::complex CKM::V_td ( )

Definition at line 418 of file CKM.cpp.

 {
     return Vtd;
 }

gslpp::complex CKM::V_ts ( )

Definition at line 423 of file CKM.cpp.

 {
     return Vts;
 }

gslpp::complex CKM::V_ub ( )

Definition at line 398 of file CKM.cpp.

 {
     return Vub;
 }

gslpp::complex CKM::V_ud ( )

Definition at line 388 of file CKM.cpp.

 {
     return Vud;
 }

gslpp::complex CKM::V_us ( )

Definition at line 393 of file CKM.cpp.

 {
     return Vus;
 }

Member Data Documentation

double CKM::A

private

Definition at line 114 of file CKM.h.

double CKM::c12

private

Definition at line 116 of file CKM.h.

double CKM::c13

private

Definition at line 116 of file CKM.h.

double CKM::c23

private

Definition at line 116 of file CKM.h.

double CKM::delta

private

Definition at line 115 of file CKM.h.

double CKM::Eta

private

Definition at line 114 of file CKM.h.

double CKM::Lambda

private

Definition at line 114 of file CKM.h.

double CKM::Rho

private

Definition at line 114 of file CKM.h.

double CKM::s12

private

Definition at line 115 of file CKM.h.

double CKM::s13

private

Definition at line 115 of file CKM.h.

double CKM::s23

private

Definition at line 115 of file CKM.h.

gslpp::complex CKM::Vcb

private

Definition at line 120 of file CKM.h.

gslpp::complex CKM::Vcd

private

Definition at line 118 of file CKM.h.

gslpp::complex CKM::Vcs

private

Definition at line 119 of file CKM.h.

gslpp::complex CKM::Vtb

private

Definition at line 120 of file CKM.h.

gslpp::complex CKM::Vtd

private

Definition at line 118 of file CKM.h.

gslpp::complex CKM::Vts

private

Definition at line 119 of file CKM.h.

gslpp::complex CKM::Vub

private

Definition at line 120 of file CKM.h.

gslpp::complex CKM::Vud

private

Definition at line 118 of file CKM.h.

gslpp::complex CKM::Vus

private

Definition at line 119 of file CKM.h.

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

Detailed Description

Public Member Functions

Private Attributes

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation