Holographic composite Higgs model and gravitational waves produced during first order phase transition

TL;DR

This paper presents a semi-analytical holographic model of a first-order phase transition in a composite Higgs sector, analyzing gravitational wave production and the model's applicability limits.

Contribution

It introduces a semi-analytical approach to describe the strongly coupled composite Higgs phase transition and gravitational wave spectrum, improving upon previous numerical estimates.

Findings

Clarified thermodynamical description of the phase transition

Provided gravitational wave spectrum predictions

Explored the limits of the thin-wall and quasiclassical approximations

Abstract

The soft-wall holographic composite Higgs model assumes first-order phase transition from the dynamical inner symmetry breaking. This research focuses on the implications of the semi-analytical perturbative solution of the dual 5-dimensional theory as an effective description of the strongly coupled composite Higgs sector. We clarify the thermodynamical description and gravitational waves spectrum produced during the phase transition, which were previously numerically estimated. Besides, we investigate the limits of the applicability of our solution within the thin-wall approximation and quasiclassical approach in terms of the dual theory, that correspond to the strongly coupled regime of composite Higgs model. Our semi-analytic framework provides description of the strong first-order phase transition within the runaway scenario.