Electroweak symmetry breaking in the inverse seesaw mechanism

TL;DR

This paper analyzes the stability of the Higgs potential within inverse seesaw models, deriving two-loop RGEs, and finds that certain variants can maintain vacuum stability up to the Planck scale.

Contribution

It provides the full two-loop RGEs for inverse seesaw models and demonstrates conditions under which the Higgs vacuum remains stable up to the Planck scale.

Findings

Large Yukawa couplings can destabilize the Higgs potential below 10^{10} GeV.

Dynamical inverse seesaw with spontaneous lepton number violation ensures stability up to the Planck scale.

The study offers a pathway for stable Higgs vacuum in extended neutrino mass models.

Abstract

We investigate the stability of Higgs potential in inverse seesaw models. We derive the full two-loop RGEs of the relevant parameters, such as the quartic Higgs self-coupling, taking thresholds into account. We find that for relatively large Yukawa couplings the Higgs quartic self-coupling goes negative well below the Standard Model instability scale $\sim 10^{10}$ GeV. We show, however, that the ``dynamical'' inverse seesaw with spontaneous lepton number violation can lead to a completely consistent and stable Higgs vacuum up to the Planck scale.