Bs-B¯s mixing and its implication for b→s transitions in supersymmetry

We investigate the effect of the current measurement of the neutral Bs meson mass difference, ΔMBs, on SUGRA models which have non-zero values of the soft breaking terms (mLL,RR2)23 and A23u,d at the GUT scale. We use non-zero values of these parameters to explain the B→Kπ puzzle and find that even after satisfying the experimental result on ΔMBs and the branching ratio (BR) of b→sγ we still can explain the puzzle. Further we show that in this parameter space it is possible to accommodate the large BR of B→η′K and the current experimental data for CP asymmetries of B→η′K0 and B→ϕK0. The predicted value of sin(2βeff)η′K0 is about 0.52-0.67.