Abstract
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.
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