EpsilonP_O_Epsilon_TH Class Reference

A class for \(|\epsilon'_K/\epsilon_K|\) that parametrizes direct CPV in the Kaon sector. In this implementation, both \(|\epsilon'_K|\) and \(|\epsilon_K|\) are computed using their theoretical expression. More...

#include <EpsilonP_O_Epsilon_TH.h>

Inheritance diagram for EpsilonP_O_Epsilon_TH:

Detailed Description

A class for \(|\epsilon'_K/\epsilon_K|\) that parametrizes direct CPV in the Kaon sector. In this implementation, both \(|\epsilon'_K|\) and \(|\epsilon_K|\) are computed using their theoretical expression.

Author

HEPfit Collaboration

Copyright

GNU General Public License

This class is used to compute the theoretical value of \(|\epsilon'_K/\epsilon_K|\), using theory for numerator and denominator. This parameter gets contributions both from the SM and many NP models.

Model parameters

The model parameters of EpsilonP_O_Epsilon_TH are summarized below:

Label	LaTeX symbol	Description
ReA0_Kd	\({\cal Re}(A_0(K\to\pi\pi))\)	The experimental value of the real part of the amplitude for \(K^0\to\pi\pi\) with \(\Delta I=0\).
ReA2_Kd	\({\cal Re}(A_2(K\to\pi\pi))\)	the experimental value of the real part of the amplitude for \(K^0\to\pi\pi\) with \(\Delta I=2\).
Omega_eta_etap	\(\Omega_{\eta/\eta'}\)	The isospin breaking contribution in \(K^0\to\pi\pi\).

Definition at line 59 of file EpsilonP_O_Epsilon_TH.h.

Public Member Functions
double	computeThValue ()
	EpsilonP_O_Epsilon_TH (const StandardModel &SM_i)
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...
Private Member Functions inherited from AmpDS1
	AmpDS1 (const StandardModel &SM_i)
	compute the amplitude for \( K_L \) decay in 2 pion More...
gslpp::complex	AmpDS1pp0 (orders order)
gslpp::complex	AmpDS1pp0pureLAT (orders order)
gslpp::complex	AmpDS1pp2 (orders order)
gslpp::matrix< double >	getChiralMatrixpp0 () const
gslpp::matrix< double >	getChiralMatrixpp2 () const
double	getReA0 ()
double	getReA2 ()
gslpp::matrix< double >	getRIMatrixpp0 () const
gslpp::matrix< double >	getRISMOMTransMatrix (double mu, orders order) const
Private Member Functions inherited from AmpDK2
	AmpDK2 (const StandardModel &SM_i)
	Constructor. More...
gslpp::complex	AmpDK (orders order)
	compute the amplitude for kaon oscillations More...
gslpp::complex	AmpDMKNP (orders order)
	compute the NP part of the amplitude for kaon oscillations More...

Constructor & Destructor Documentation

EpsilonP_O_Epsilon_TH()

EpsilonP_O_Epsilon_TH::EpsilonP_O_Epsilon_TH

(

const StandardModel &

SM_i

)

constructor

Parameters

SM_i	a reference to an object of class StandardModel, or of one of its extensions

Definition at line 12 of file EpsilonP_O_Epsilon_TH.cpp.

: ThObservable(SM_i), AmpDS1(SM_i), AmpDK2(SM_i)
{
    setParametersForObservable(make_vector<std::string>() << "Br_Ks_P0P0" << "Br_Ks_PpPm" << "Br_Kp_P0Pp" << "Omega_eta_etap" << "Delta_0" << "Delta_2" << "EpsK" << "phiEpsK"
                                                          << "Zqq00" << "Zqq11" << "Zqq12" << "Zqq13" << "Zqq14" << "Zqq21" << "Zqq22" << "Zqq23" << "Zqq24"
                                                          << "Zqq31" << "Zqq32" << "Zqq33" << "Zqq34" << "Zqq41" << "Zqq42" << "Zqq43" << "Zqq44" << "Zqq55"
                                                          << "Zqq56" << "Zqq65" << "Zqq66");
}

Member Function Documentation

computeThValue()

double EpsilonP_O_Epsilon_TH::computeThValue ( )

virtual

Returns

theoretical value of \(|\epsilon'_K/\epsilon_K|\)

Implements ThObservable.

Definition at line 21 of file EpsilonP_O_Epsilon_TH.cpp.

{
  //Evaluate Re(eps'/eps) as defined in ArXiv:2004.09440, using the theory expression for eps
  double phase = -sin(((SM.getOptionalParameter("Delta_2")-SM.getOptionalParameter("Delta_0"))-SM.getOptionalParameter("phiEpsK"))*M_PI/180.);
  return M_SQRT1_2 * phase * (getReA2()/getReA0()) * ( (AmpDS1pp2(NLO).imag() / getReA2()) - ( (1.-SM.getOptionalParameter("Omega_eta_etap")) * (AmpDS1pp0(NLO).imag() / getReA0()) ) )/
          (SM.getCepsK() / SM.getOptionalParameter("DeltaMK") * AmpDK(FULLNLO).imag() * SM.getOptionalParameter("KbarEpsK") * 
            // Tarantino et al 2021
            1.01 *
          sin(SM.getOptionalParameter("phiEpsK") * M_PI / 180.));
}

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

• EpsilonP_O_Epsilon_TH.h
• EpsilonP_O_Epsilon_TH.cpp