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 $B^0\to \varphi K_S$ and $B^0\to {\eta }^{\prime }{K}^0$ 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 $B_s\to \varphi \varphi$, $B_s\to {\eta }^{\prime }\varphi$, 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 $B_s\to \varphi \varphi$ decay is expected to be large owing to the squark flavor mixing, which will be tested at LHCb soon.

17 pages, 12 figures, some discussions are added

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• Probing the high scale SUSY in CP violations of K, B0 and Bs mesons
• Measurement of $CP$ asymmetries in $B^0\to K_S^0{\pi }^0\gamma$ decays at Belle II