in BLMSSM *

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.