The high energy fate of the minimal Goldstone Higgs

TL;DR

This paper explores a minimal pseudo-Nambu-Goldstone Higgs model with an extended scalar sector, analyzing its stability and perturbativity up to the Planck scale, and identifying conditions for heavy scalar masses around 3 TeV.

Contribution

It introduces a minimal SO(5)/SO(4) symmetry-based model for the Higgs as a pseudo-Goldstone boson, including explicit symmetry breaking or an extra scalar, and studies its high-energy behavior.

Findings

Model remains stable up to the Planck scale with heavy scalars around 3 TeV.

The model fits the known particle spectrum at electroweak scale.

Perturbativity is maintained up to high energies under specified conditions.

Abstract

We consider a minimal model where the Higgs boson arises as an elementary pseudo-Nambu-Goldstone boson. The model is based on an extended scalar sector with global SO(5)/SO(4) symmetry. To achieve the correct electroweak symmetry breaking pattern, the model is augmented either with an explicit symmetry breaking term or an extra singlet scalar field. We consider separately both of these possibili- ties. We fit the model with the known particle spectrum at the electroweak scale and extrapolate to high energies using renormalization group. We find that the model can remain stable and perturbative up to the Planck scale provided that the heavy beyond Standard Model scalar states have masses in a narrow interval around 3 TeV.