$\bar{B}\to X_s \gamma$ in BLMSSM

Applying the effective Lagrangian method, we study the Flavor Changing Neutral Current $b\to s\gamma$ 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 on branching ratio of $\bar{B}\to X_s\gamma$. Additionally, we present the corrections to direct CP-violation in $\bar{B}\rightarrow X_s\gamma$ and time-dependent CP-asymmetry in $B\rightarrow K^*\gamma$. With appropriate assumptions on parameters, we find the direct CP-violation $A_{CP}$ is very small, while one-loop contributions to $S_{K^*\gamma}$ can be significant.