Abstract
The Standard Model (SM) vacuum is unstable for the measured values of the top Yukawa coupling and Higgs mass. Here we study the issue of vacuum stability when neutrino masses are generated through spontaneous low-scale lepton number violation. In the simplest dynamical inverse seesaw, the SM Higgs has two siblings: a massive CP-even scalar plus a massless Nambu-Goldstone boson, called majoron. For TeV scale breaking of lepton number, Higgs bosons can have a sizeable decay into the invisible majorons. We examine the interplay and complementarity of vacuum stability and perturbativity restrictions, with collider constraints on visible and invisible Higgs boson decay channels. This simple framework may help guiding further studies, for example, at the proposed FCC facility.
Highlights
Us to study the stability of the vacuum up to high energies through the renormalization group equations (RGEs)
We have examined the dynamical inverse seesaw mechanism as a simple benchmark for electroweak breaking and Higgs boson physics
We first briefly summarized the issue of vacuum stability in the context of inverse seesaw mechanism with explicit lepton number violation and compared with the Standard Model (SM), figure 1
Summary
If the 125 GeV scalar discovered at LHC is the SM Higgs boson we can determine its quartic coupling at the electroweak scale. This measurement can subsequently be used to study the stability of the fundamental vacuum at high energies, all the way up to Planck scale. Throughout this work we use the experimental values of the SM couplings such as λ, g1, g2, g3 and yt, within the “On-Shell” renormalization scheme. This way we express the renormalized parameters directly in terms of these physical observables. In what follows we will examine the implications of vacuum stability requirements within seesaw models of neutrino mass generation
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