Constraining the Higgs sector from False Vacua in the Next-to-Minimal Supersymmetric Standard Model

TL;DR

This paper investigates how the vacuum structure of the Higgs potential in the NMSSM constrains the properties of the lightest Higgs boson, using false vacua analysis to derive new bounds.

Contribution

It introduces a novel analysis of false vacua in the NMSSM to constrain Higgs boson properties, linking vacuum stability to experimental observables.

Findings

Certain parameter regions are excluded due to false vacuum constraints.

The properties of the lightest Higgs are tightly constrained by vacuum stability.

False vacua considerations significantly impact Higgs sector phenomenology.

Abstract

We study the mass, the mixing and the coupling with $Z$ boson of the lightest Higgs boson in the next-to-minimal supersymmetric standard model. The vacuum structure of the Higgs potential is analyzed and the new false vacua are discussed. The significant parameter region can be excluded by requiring that the realistic vacuum is deeper than false vacua, which result in constraints on the properties of the lightest Higgs boson.