Mass Insertion Formula for Chargino Contribution to \Delta B = 1 Wilson Coefficients and its Application to CP Asymmetries of B \to K\pi

TL;DR

This paper derives a mass insertion formula for chargino contributions to b to s transitions and applies it to CP asymmetries in B to K pi decays, concluding supersymmetry does not explain the observed discrepancy.

Contribution

It provides a comprehensive mass insertion formula for chargino effects on b to s transitions and clarifies the physics behind supersymmetric FCNC contributions.

Findings

Supersymmetry is not responsible for the CP asymmetry discrepancy in B to K pi decays.

The mass insertion formula clarifies chargino contributions to FCNC processes.

Application to CP asymmetries shows no SUSY explanation for the observed difference.

Abstract

The comprehensive mass insertion formula of the b \to s \bar q q transitions was provided for the chargino contributions. The method clarifies physics behind the calculations of the supersymmetric contributions to FCNCs. The result was applied to the analysis of the difference of the CP asymmetries of the B \to K\pi decays. It is shown that the supersymmetry is not responsible for the discrepancy.