The rare decaysB → X s γ and B 0 s → μ + μ − are important to research new physics beyond the standard model (SM). In this work, we investigate two loop electroweak corrections toB → X s γ and B 0 s → μ + μ − in the minimal supersymmetric extension of the SM with local B − L gauge symmetry (B-LSSM), under a minimal flavor violating assumption for the soft breaking terms. In this framework, new particles and new definition of squarks can affect the theoretical predictions of these two processes, with respect to the MSSM. Considering the constraints from updated experimental data, the numerical results show that the B-LSSM can fit the experimental data for the branching ratios ofB → X s γ and B 0 s → μ + μ −. The results of the rare decays also further constrain the parameter space of the B-LSSM.

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