SUSY contributions to CP violations in $b\to s$ and $b\to d$ transitions facing on new data

Abstract

We study the contribution of the gluino-squark mediated flavor changing process for the CP violation in $b\to s$ and $b\to d$ transitions facing on recent experimental data. The mass insertion parameters of squarks are constrained by the branching ratios of $b\to s\gamma $ and $b\to d\gamma $ decays. In addition, the time dependent CP asymmetries of $B^0\to \phi K_S$ and $B^0\to \eta ' K^0$ decays severely restrict the allowed region of the mass insertion parameter for the $b\to s$ transition. By using these constraints with squark and gluino masses of 1.5 TeV, we predict the CP asymmetries of $B_s\to \phi \phi $, $B_s\to \eta '\phi $, and $B^0\to K^0\bar K^0$ decays, as well as the CP asymmetries in $b\to s\gamma $ and $b\to d\gamma $ decays. The CP violation in the $B_s\to \phi \phi$ decay is expected to be large owing to the squark flavor mixing, which will be tested at LHCb soon.