Abstract

We present a new kit for the study of flavor observables in models beyond the standard model. The setup is based on the public codes SARAH and SPheno and allows for an easy implementation of new observables. The Wilson coefficients of the corresponding operators in the effective lagrangian are computed by SPheno modules written by SARAH. New operators can also be added by the user in a modular way. For this purpose a handy Mathematica package called the PreSARAH has been developed. This uses FeynArts and FormCalc to derive generic form factors at tree- and 1-loop levels and to generate the necessary input files for SARAH. This framework has been used to implement BR(\(\ell _{\alpha } \rightarrow \ell _{\beta } \gamma \)), BR(\(\ell _{\alpha } \rightarrow 3\, \ell _{\beta }\)), CR(\(\mu -e,A\)), BR(\(\tau \rightarrow P \, \ell \)), BR(\(h\rightarrow \ell _{\alpha } \ell _{\beta }\)), BR(\(Z\rightarrow \ell _{\alpha } \ell _{\beta }\)), BR(\(B_{s,d}^0 \rightarrow \ell \bar{\ell }\)), BR(\({\bar{B}} \rightarrow X_s\gamma \)), BR(\({\bar{B}} \rightarrow X_s \ell \bar{\ell }\)), BR(\({\bar{B}} \rightarrow X_{d,s} \nu {\bar{\nu }}\)), BR(\(K^+ \rightarrow \pi ^+ \nu {\bar{\nu }}\)), BR(\(K_L \rightarrow \pi ^0 \nu {\bar{\nu }}\)), \(\varDelta M_{B_s,B_d}\), \(\varDelta M_K\), \(\varepsilon _K\), BR(\(B \rightarrow K \mu \bar{\mu }\)), BR(\(B\rightarrow \ell \nu \)), BR(\(D_s \rightarrow \ell \nu \)) and BR(\(K \rightarrow \ell \nu \)) in SARAH. Predictions for these observables can now be obtained in a wide range of SUSY and non-SUSY models. Finally, the user can use the same approach to easily compute additional observables.

Highlights

  • With the exploration of the terascale, particle physics has entered a new era

  • We present a new kit for the study of flavor observables in models beyond the standard model

  • To stabilize the numerical evaluation later on, these operators are treated differently to all other operators: the coefficients are not calculated by FeynArts and FormCalc but instead we have included the generic expressions in PreSARAH using a special set of loop functions in SPheno

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Summary

Introduction

New operators can be implemented by extending the content of the folder [$SARAH]/FlavorKit/[$Type]/Operators/. Each operator is defined by a .m-file These files contain information about the external particles, the kind of considered diagrams (tree-level, self-energies, penguins, boxes) as well as generic expressions for the coefficients. These expressions, derived from the generic Feynman diagrams contributing to the coefficients, are written in the form of a Mathematica code, which can be used to generate Fortran code. For the automatization of the underlying calculations we have created an additional Mathematica package called PreSARAH, which can be used to create the files for all 4fermion as well as 2-fermion-1-boson operators This package creates the infrastructure to include the operators in the SPheno output of SARAH but makes use of FeynArts and FormCalc to calculate the amplitudes and to extract the coefficient of the demanded operators.

General strategy: calculation of flavor observables in a nutshell
FlavorKit: usage and goals
Download and installation
Basic usage
Limitations
Advanced usage I: implementation of new observables using existing operators
Running SPheno
28 End do
Advanced usage II: implementation of new operators
Input for PreSARAH
Operators with massless gauge bosons
Combination and normalization of operators
Validation
Conclusion
Lepton flavor observables
A VR R 2
99 End I f 100 End do
Quark flavor observables
C.10 ΔMK and εK
Integer : : i1
Supersymmetric models
Non-supersymmetric models
Full Text
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