Higgs Vacuum Stability in $B-L$ extended Standard Model

Abstract

We study vacuum stability of B-L extension of the Standard Model (SM) and its supersymmetric version. We show that the generation of non-vanishing 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 non-supersymmetric B-L model, we find that the mixing between the SM-like Higgs and the B-L Higgs 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.