Higgs vacuum stability in the B - L extended standard model

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.