In BLMSSM * *Supported by National Natural Science Foundation of China (11805140, 11347185, 11905002), the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (2017113), Natural Science Foundation of Shanxi Province (201801D221021, 201801D221031), Natural Science Foundation of Hebei Province (A2020201002), the China Scholarship Council (201906935031)

Abstract

Applying the effective Lagrangian method, we study the flavor changing neutral current process within the minimal supersymmetric extension of the Standard Model, where baryon and lepton numbers are local gauge symmetries. Constraints on the parameters are investigated numerically with the experimental data for the branching ratio of . Additionally, we present the corrections to direct CP-violation in and time-dependent CP-asymmetry in . With appropriate assumptions on the parameters, we find the direct CP-violation is very small, while one-loop contributions to can be significant.