We study vacuum stability of B-L extension of the Standard Model (SM) and its supersymmetric version. We show that the generation of nonvanishing neutrino masses through TeV inverse seesaw mechanism leads to a cutoff scale of SM Higgs potential stability of order 10^5  GeV. However, in the nonsupersymmetric B-L model, we find that the mixing between the SM-like Higgs boson and the B-L Higgs boson plays a crucial role in alleviating the vacuum stability problem. We also provide the constraints of stabilizing the Higgs potential in the supersymmetric B-L model.
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