Vacuum stability of the type II seesaw leptogenesis from inflation

TL;DR

This paper explores how adding a triplet Higgs to the standard model can enable leptogenesis from inflation, address vacuum stability issues, and simultaneously explain neutrino masses and baryon asymmetry.

Contribution

It identifies viable parameter regions where triplet Higgs models satisfy vacuum stability, perturbativity, and explain neutrino masses, baryon asymmetry, and inflation.

Findings

Triplet Higgs improves Higgs vacuum stability.

Two parameter regions explain neutrino masses and baryon asymmetry.

Model remains consistent with vacuum stability and perturbativity constraints.

Abstract

Recently it has been found that introducing a triplet Higgs to the standard model could provide a feasible leptogenesis to generate the baryon asymmetry of our universe, providing that the inflation is driven by the mixing state of the triplet Higgs and SM Higgs. In this work, we survey the viable parameter space satisfying the vacuum stability and perturbativity in this model. We find that the introduction of the triplet Higgs would also ameliorate the problem of the Higgs vacuum instability. We present two representative parameter regions where the origin of neutrino masses, baryon asymmetry of the universe as well as inflation can be explained while keeping consistent with the condition of vacuum stability and perturbativity.