Kmunu_o_Pmunu Class Reference

A class for \( (K\to \lepton \nu) / (\pi \to \lepton \nu) \). More...

#include <Kmunu_o_Pmunu.h>

Inheritance diagram for Kmunu_o_Pmunu:

Detailed Description

A class for \( (K\to \lepton \nu) / (\pi \to \lepton \nu) \).

Author

HEPfit Collaboration

Copyright

GNU General Public License

This class is used to compute the theoretical value of branching ratio of \( (K\to \lepton \nu) / (\pi \to \lepton \nu) \).

Definition at line 30 of file Kmunu_o_Pmunu.h.

Public Member Functions
double	computeThValue ()
	arXiv:1206.2634v2 More...
	Kmunu_o_Pmunu (const StandardModel &SM_i)
	Constructor. More...
Public Member Functions inherited from ThObservable
double	getBinMax ()
	A get method to get the maximum value of the bin. More...
double	getBinMin ()
	A get method to get the minimum value of the bin. More...
const StandardModel &	getModel ()
	A get method to get the model. More...
const std::vector< std::string >	getParametersForObservable ()
	A get method to get the parameters for the specific observable. More...
void	setBinMax (double max)
	A set method to set the maximum value of the bin. More...
void	setBinMin (double min)
	A set method to set the minimum value of the bin. More...
void	setParametersForObservable (std::vector< std::string > parametersForObservable_i)
	A set method to get the parameters for the specific observable. More...
	ThObservable (const StandardModel &SM_i)
	Constructor. More...
	ThObservable (const ThObservable &orig)
	The copy constructor. More...
virtual	~ThObservable ()
	The default destructor. More...

Additional Inherited Members
Protected Attributes inherited from ThObservable
double	max
	the bin maximum. More...
double	min
	The bin minimum. More...
std::vector< std::string >	parametersForObservable
	a vector of parameter namesfor the specific observable More...
const StandardModel &	SM
	A reference to an object of StandardMode class. More...

Constructor & Destructor Documentation

Kmunu_o_Pmunu()

Kmunu_o_Pmunu::Kmunu_o_Pmunu

(

const StandardModel &

SM_i

)

Constructor.

Parameters

[in]

SM_i

a reference to an object of type StandardModel

Definition at line 16 of file Kmunu_o_Pmunu.cpp.

: ThObservable(SM_i)
{
    
 
    setParametersForObservable(make_vector<std::string>() << "fKofP" << "delKl2Pl2em");
    SM.initializeMeson(QCD::P_P);
    SM.initializeMeson(QCD::K_P);
    
};

Member Function Documentation

computeThValue()

double Kmunu_o_Pmunu::computeThValue ( )

virtual

arXiv:1206.2634v2

Returns

theoretical value of | \( BR(D \rightarrow \lepton \nu) \)|

Implements ThObservable.

Definition at line 28 of file Kmunu_o_Pmunu.cpp.

{
    //The WC are written in the LEFT basis of arxiv:1709.04486 the expressions can be found in arxiv:1706.00410 and arxiv:1605.07114
    gslpp::vector<gslpp::complex> ** allcoeff_K_mu_nu = SM.getFlavour().ComputeCoeffdiujlknu(1,0,1,SM.getQuarks(QCD::UP).getMass_scale());
    gslpp::vector<gslpp::complex> ** allcoeff_P_mu_nu = SM.getFlavour().ComputeCoeffdiujlknu(0,0,1,SM.getQuarks(QCD::UP).getMass_scale());
 
 
    double mK = SM.getMesons(QCD::K_P).getMass();
    double mP = SM.getMesons(QCD::P_P).getMass();
    
    
    double mu = SM.getQuarks(QCD::UP).getMass();
    double md = SM.getQuarks(QCD::DOWN).getMass();
    double ms = SM.getQuarks(QCD::STRANGE).getMass();
    double mmu = SM.getLeptons(StandardModel::MU).getMass();
 
    
 
    
    //double delKl2Pl2em = -0.0070;
    //double fKofP = 1.1932;
    
    
    double fKofP = SM.getOptionalParameter("fKofP"); // this is the ratio of charged meson decay constants in the SU(2)-symmetric limit 
    double delKl2Pl2em = SM.getOptionalParameter("delKl2Pl2em"); //this is the non-perturbative EM + strong isospin violation correction to the ratio of decay rates
    
    
    double num = ((*(allcoeff_K_mu_nu[LO]))(0) -(*(allcoeff_K_mu_nu[LO]))(1) + mK * mK / (ms+mu) / mmu * ((*(allcoeff_K_mu_nu[LO]))(2) - (*(allcoeff_K_mu_nu[LO]))(3))).abs2();
    double den = ((*(allcoeff_P_mu_nu[LO]))(0) -(*(allcoeff_P_mu_nu[LO]))(1) + mP * mP / (md+mu) / mmu * ((*(allcoeff_P_mu_nu[LO]))(2) - (*(allcoeff_P_mu_nu[LO]))(3))).abs2();
    
    //double WCnum = 1.0;
    //double WCden = 1.0;
   
    //return 1.;
    return mK/mP * (1-mmu*mmu/mK/mK) * (1-mmu*mmu/mK/mK)/(1-mmu*mmu/mP/mP)/(1-mmu*mmu/mP/mP)*fKofP*fKofP*(1+delKl2Pl2em)*num/den;
 
}

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

• Kmunu_o_Pmunu.h
• Kmunu_o_Pmunu.cpp