Multi-phase critical Higgs boson at colliders

TL;DR

This paper explores a multi-phase criticality framework in Coleman-Weinberg models that could explain the hierarchy problem and the lightness of the Higgs boson, analyzing current and future collider data.

Contribution

It introduces a novel application of multi-phase criticality to the Standard Model, linking scale invariance breaking to Higgs properties and collider phenomenology.

Findings

Current LHC data constrains the model parameters.

Future colliders can test the multi-phase criticality scenario.

The model explains the absence of new physics signals so far.

Abstract

The recently proposed multi-phase criticality principle in Coleman-Weinberg models can provide a new explanation for the hierarchy between the electroweak and new physics scales. When applied to the Standard Model, a Higgs boson as light as the pseudo-Goldstone boson of broken scale invariance occurs. The suppressed mixing between the two light fields still carries information about the large scale of symmetry breaking, albeit up to logarithmic corrections. In this work we probe this scenario with the present LHC data and assess the impact of future lepton and hadron colliders. Our results show that the multi-phase criticality can easily explain the apparent absence of new physics at the energy scales tested in current experiments.