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We examine the process $B \to X_s \gamma$ in minimal supersymmetry (SUSY)with general squark flavor mixings. We include all relevant next--to--leadingorder (NLO) QCD corrections and dominant NLO SUSY effects from the gluino. Wefind that gluino--squark corrections to down--type quark masses induce largeNLO corrections to the dominant Wilson coefficients whose size is often similarto those at LO, especially at large $\tan\beta$. For $\mu>0$, destructiveinterference, and suppression by the renormalization group running lead to a``focusing effect'' of reducing the size of gluino corrections to the branchingratio, 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 becomesignificantly weakened relative to the minimal flavor violation case, even, atlarge $\tan\beta$, for small flavor mixings. The case of $\mu<0$ can alsobecomes allowed.Comment: Revtex4, 4 pages, 6 figures, title changed, version accepted by PR

physical review letters

Weakened Constraints from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>b</mml:mi><mml:mo>→</mml:mo><mml:mi>s</mml:mi><mml:mi>γ</mml:mi></mml:math>on Supersymmetry Flavor Mixing Due to Next-To-Leading-Order Corrections

Weakened Constraints fromb→sγon Supersymmetry Flavor Mixing Due to Next-To-Leading-Order Corrections