Confinement of Higgs bosons from hidden symmetry and convexity

TL;DR

This paper proposes that the convexity of the effective potential in quantum field theory implies that Higgs bosons may be confined in the infrared regime, complicating their experimental detection.

Contribution

It introduces a novel perspective linking convexity of the effective potential to Higgs confinement, extending the understanding of symmetry breaking in quantum field theory.

Findings

Higgs particles can be IR confined due to convexity effects

Short distance behaviors of the theory remain unaffected

Provides a new approach to understanding Higgs phenomenology

Abstract

In the full effective potential (EFP) approach, we find that spontaneous symmetry breaking (SSB) can, with the convexity of the full EFP, lead to the prediction of the IR confinement of Higgs particles, adding difficulty to the experimental identification of Higgs particles. The short distance behaviors remain intact. The whole presentation is given in the understanding that any QFT becomes UV well defined in a more complete underyling theory according to a recently proposed strategy.