Constraints from Unrealistic Vacua in the Next-to-Minimal Supersymmetric Standard Model

TL;DR

This paper investigates the parameter space of the NMSSM to identify and exclude regions with unrealistic deep minima in the scalar potential that could prevent successful electroweak symmetry breaking.

Contribution

It provides a detailed analysis of the scalar potential along specific directions to derive constraints that exclude large regions of the NMSSM parameter space, especially for large f1.

Findings

Large f1 regions are ruled out by the constraints.

Unrealistic minima deeper than the EWSB vacuum are identified.

Constraints significantly restrict the viable parameter space.

Abstract

We study constraints to avoid deep unrealistic minima in the next-to-minimal supersymmetric standard model. We analyze a scalar potential along directions where all of and one of the three Higgs fields develop their vacuum expectation values, and find unrealistic minima deeper than the electroweak symmetry breaking (EWSB) vacuum. These unrealistic minima threaten the realization of the successful EWSB and therefore should be avoided. Necessary conditions to avoid these minima result in constraints of parameters. We show that a wide and significant region of the parameter space, especially large \lambda, is ruled out by our constraints.