Theory and Phenomenology of the Elementary Goldstone Higgs

TL;DR

This paper presents a detailed analysis of an elementary pseudo Goldstone Higgs model, showing it naturally explains the Higgs as a Goldstone boson with a high symmetry-breaking scale, consistent with perturbative and phenomenological constraints.

Contribution

It introduces a renormalizable, perturbative elementary Goldstone Higgs model with a well-characterized parameter space and phenomenological predictions, advancing beyond previous composite or effective theories.

Findings

Preferred electroweak alignment angle around 0.02

Higgs chiral symmetry breaking scale approximately 14 TeV

Higgs sector spectrum remains in the few TeV range

Abstract

We show, via a careful analytical and numerical analysis, that a pseudo Goldstone nature of the Higgs is naturally embodied by an elementary realization that also serves as ultraviolet completion. Renormalizability married to perturbation theory allows to precisely determine the quantum corrections of the theory while permitting to explore the underlying parameter space. By characterising the available parameter space of the extended Higgs sector we discover that the preferred electroweak alignment angle is centred around $\theta \simeq 0.02$, corresponding to the Higgs chiral symmetry breaking scale $ f \simeq 14~$TeV. The latter is almost 60 times higher than the Standard Model electroweak scale. However, due to the perturbative nature of the theory, the spectrum of the enlarged Higgs sector remains in the few TeV energy range. We also analyse precision constraints and the relevant phenomenological aspects of the theory.