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.

revtex, 21 pages, including 7 ps figures

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• The two loop supersymmetric corrections to lepton anomalous dipole moments in split supersymmetry scenarios
• Two-loop gluino contributions to neutron electric dipole moment in CP violating MSSM
• Update of the flavour-physics constraints in the NMSSM
• Solving the SUSY CP problem with flavor breaking F-terms
• Mixing among the neutral Higgs bosons and rare B decays in the CP violating MSSM