B-L supersymmetric standard model (B-LSSM) is the U(1) extension of the minimal supersymmetric standard model (MSSM). Comparing with MSSM, B-LSSM has several advantages. The vacuum stability is a very important problem. The Higgs super-fields in B-LSSM are more than those in the MSSM. It is interesting to study the vacuum stability in the B-LSSM. The one-loop effective potential and two-loop renormalization group equations are taken into account. In the numerical calculation, we obtain useful results. They can confine the parameter space of the B-LSSM and make clear behavior of the effective potential with running scale. It is in favour of detecting new physics beyond the standard model.

BL 超对称标准模型 (B-LSSM) 是最小超对称标准模型 (MSSM)的U (1) 扩展。与 MSSM 相比，B-LSSM 有几个优点。真空稳定性是一个非常重要的问题。B-LSSM 中的 Higgs 超场比 MSSM 中的更多。研究 B-LSSM 中的真空稳定性很有趣。考虑了单环有效势和双环重整化群方程。在数值计算中，我们得到了有用的结果。它们可以限制 B-LSSM 的参数空间，并通过运行规模明确有效势的行为。它有利于检测超出标准模型的新物理。