Vacuum Stability Conditions for New SU(2) Multiplets

2025/05/08 by Milagre, André, Jurčiukonis, Darius, Lavoura, Luís · 2 citations
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2505.05272

Abstract

We consider the addition to the Standard Model of a scalar SU(2) multiplet Δ_n with dimension n going from 1 to 6. The multiplet Δ_n is assumed to have null vacuum expectation value and an arbitrary (free) hypercharge. We determine the shape of the phase space for the new terms that appear in the scalar potential (SP); we observe in particular that, in the case of a 6-plet, the phase space is slightly concave along one of its boundaries. We determine the bounded-from-below and vacuum stability conditions on the SP for each value of n.

Citations

• Theorem on vacuum stability
• On the extension of the SM through a scalar quadruplet
• W-boson Mass Anomaly from High-Dimensional Scalar Multiplets
• Atlas
• Theory and phenomenology of two-Higgs-doublet models
• Stability and symmetry breaking in the general two-Higgs-doublet model
• Allowed and observable phases in two-Higgs-doublet Standard Models

Cited by

• Applications of Machine Learning in Constraining Multi-Scalar Models
• On the addition of an SU(2) quadruplet of scalars to the Standard Model

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