Vacuum stability of supersymmetric extended Higgs sectors with a discrete symmetry

TL;DR

This paper investigates the stability of the vacuum in supersymmetric models with extended Higgs sectors and a discrete Z2 symmetry, exploring implications for dark matter, neutrino masses, and the hierarchy problem.

Contribution

It provides a detailed analysis of the tree-level vacuum stability in supersymmetric extended Higgs models with a Z2 symmetry, highlighting conditions for stability and potential symmetry breaking.

Findings

Stability conditions depend on Higgs sector parameters.

Spontaneous Z2 symmetry breaking can occur under certain conditions.

Models can address multiple fundamental problems at the TeV scale.

Abstract

We study vacuum stability of supersymmetric extended Higgs sectors with a discrete $Z_2$ symmetry. These models may be able to explain dark matter, neutrino masses, baryon asymmetry of the Universe and hierarchy problem simultaneously at the TeV scale. This $Z_2$ symmetry could be broken spontaneously. We examine the stability of the $Z_2$ symmetric vacuum at the tree level in several models with such extended Higgs sectors.