Weakened Constraints from $b\to s\gamma$ on Supersymmetry Flavor Mixing Due to Next-To-Leading-Order Corrections

Abstract

We examine the process $B\to X_s\gamma$ in minimal supersymmetry (SUSY) with general squark flavor mixings. We include all relevant next--to--leading order (NLO) QCD corrections and dominant NLO SUSY effects from the gluino. We find that gluino--squark corrections to down--type quark masses induce large NLO corrections to the dominant Wilson coefficients whose size is often similar to those at LO, especially at large $\tan \beta$. For $\mu >0$, destructive interference, and suppression by the renormalization group running lead to a ``focusing effect'' of reducing the size of gluino corrections to the branching ratio, and also of reducing the LO sensitivity to flavor mixings among squarks. Constraints from $B(B\to X_s\gamma )$ on the SUSY--breaking scale can become significantly weakened relative to the minimal flavor violation case, even, at large $\tan \beta$, for small flavor mixings. The case of $\mu <0$ can also becomes allowed.

arXiv commentRevtex4, 4 pages, 6 figures, title changed, version accepted by PRL

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