Sensitivity of the squark flavor mixing to the CP violation of K, [formula omitted] and [formula omitted] mesons

Abstract

We study the sensitivity of the squark flavor mixing to the CP violating phenomena of K, B0 and Bs mesons in the framework of the split-family scenario, where the first and second family squarks are very heavy, O(10) TeV, on the other hand, the third family squark masses are at O(1) TeV. In order to constrain the gluino-sbottom-quark mixing parameters, we input the experimental data of the CP violations of K, B0, and Bs mesons, that is ϵK, ϕd, and ϕs. The experimental upper bound of the chromo-EDM of the strange quark is also input. In addition, we take account of the observed values ΔMB0, ΔMBs, the CKM mixing |Vub|, and the branching ratio of b→sγ. The allowed region of the mixing parameters are obtained as |δ13dL(dR)|=0∼0.01 and |δ23dL(dR)|=0∼0.04. By using these values, the deviations from the SM are estimated in the CP violations of the B0 and Bs decays. The deviation from the SM one is tiny in the CP asymmetries of B0→ϕKS and B0→η′K0 due to the chromo-EDM of the strange quark. On the other hand, the CP asymmetries Bs→ϕϕ and Bs→ϕη′ could be largely deviated from the SM predictions. We also predict the time dependent CP asymmetry of B0→K0K¯0 and the semi-leptonic CP asymmetries of B0→μ−X and Bs→μ−X. We expect those precise measurements at Belle II, which will provide us interesting tests for the squark flavor mixing.