On the utility and implication of convex effective potential for the Higgs particles

TL;DR

This paper discusses how the convexity and spontaneous symmetry breaking in the effective potential complicate the identification of Higgs modes, potentially impacting the understanding of Higgs particles in the Standard Model.

Contribution

It highlights the theoretical complexity of Higgs modes due to convexity and SSB in the effective potential, suggesting implications for particle physics.

Findings

Higgs modes are complicated by convexity and SSB

Normal final states for Higgs modes are not analytically definable

Potential consequences for the Standard Model

Abstract

It is suggested that within the effective potential approach, convexity and spontaneous symmetry breaking(SSB) make the Higgs modes (elementary or effective) complicated in that the normal final states (experimentally identifiable) for Higgs modes could not be analytically defined. This observation might have some nontrivial consequences for the Standard Model (SM) and particle physics.