Vacuum stability in neutrinophilic Higgs doublet model

TL;DR

This paper investigates the vacuum stability of the tiny VEV in neutrinophilic Higgs models, demonstrating that the hierarchy remains stable against radiative corrections in both SUSY and non-SUSY frameworks for Dirac and Majorana neutrinos.

Contribution

It provides a comprehensive analysis of vacuum structures and stability of the VEV hierarchy in neutrinophilic Higgs models, including supersymmetric and non-supersymmetric cases.

Findings

The VEV hierarchy is stable against radiative corrections.

Stability holds for both Dirac and Majorana neutrino scenarios.

Stability is confirmed in both SUSY and non-SUSY models.

Abstract

A neutrinophilic Higgs model has tiny vacuum expectation value (VEV), which can naturally explain tiny masses of neutrinos. There is a large energy scale hierarchy between a VEV of the neutrinophilic Higgs doublet and that of usual standard model-like Higgs doublet. In this paper we at first analyze vacuum structures of Higgs potential in both supersymmetry (SUSY) and non-SUSY neutrinophilic Higgs models, and next investigate a stability of this VEV hierarchy against radiative corrections. We will show that the VEV hierarchy is stable against radiative corrections in both Dirac neutrino and Majorana neutrino scenarios in both SUSY and non-SUSY neutrinophilic Higgs doublet models.