Two-loop gluino corrections to the inclusive $B\to X_{{}_s}\gamma$ decay in CP violating MSSM with large $\tan \beta$

Abstract

We investigate two-loop gluino corrections to the effective Lagrangian for $b\to s+\gamma (g)$ in the minimal supersymmetric extension of the standard model (MSSM) at large $\tan \beta$, including the contributions in which quark flavor change is mediated by charginos. Using the translation invariant of loop momenta and the Ward-Takahashi identities (WTIs) that are required by the $SU(3{)}_c\times U(1{)}_{{}_{em}}$ gauge invariance, we simplify our expressions to concise forms. As an example, we discuss two-loop gluino corrections to the CP asymmetry of inclusive $B\to X_{{}_s}\gamma$ decay in CP violating MSSM.

Comments: revtex, 21 pages, including 7 ps figures