Weakened Constraints from $b\to s{\hat{I}}^3$ on Supersymmetry Flavor Mixing Due to Next-To-Leading-Order Corrections

Abstract

We examine the process $B\to X_s{\hat{I}}^3$ 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 $\tan {\hat{I}}^2$. For $\hat{I}¼>0$, 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 $B(B\to X_s{\hat{I}}^3)$ on the SUSY--breaking scale can become significantly weakened relative to the minimal flavor violation case, even, at large $\tan {\hat{I}}^2$, for small flavor mixings. The case of $\hat{I}¼<0$ can also becomes allowed.

Revtex4, 4 pages, 6 figures, title changed, version accepted by PRL