Constraining a class of 𝐵��−𝐿�� extended models from vacuum stability and perturbativity

Abstract

The precise knowledge of the Standard Model (SM) Higgs boson and top-quark masses and couplings are crucial to understand the physics beyond it. An SM-like Higgs boson having a mass in the range of 123–127 GeV squeezes the parameters for physics beyond the Standard Model. In recent the LHC era many TeV-scale neutrino mass models have earned much attention as they pose many interesting phenomenological aspects. We have contemplated 𝐵−𝐿 extended models which are theoretically well motivated and phenomenologically interesting, and they successfully explain neutrino mass generation. In this article we analyze the detailed structures of the scalar potentials for such models. We compute the criteria which guarantee that the vacuum is bounded from below in all directions. In addition, perturbativity (triviality) bounds are also necessitated. Incorporating all such effects, we constrain the parameters of such models by performing their renormalization-group evolutions.