Composite Higgs models in disguise

TL;DR

This paper introduces a mechanism to disguise one composite Higgs model as another by large mixings with elementary fields, altering the effective coset structure and phenomenology at low energies.

Contribution

It presents a novel method to reinterpret composite Higgs models, showing how different cosets can be phenomenologically equivalent through symmetry breaking and mixing effects.

Findings

Disguise one coset as another with large mixings.

Extra scalars gain masses, ceasing to be pNGBs.

Two UV-complete models can be represented as the minimal SO(5)/SO(4) coset.

Abstract

We present a mechanism for disguising one composite Higgs model as another. Allowing the global symmetry of the strong sector to be broken by large mixings with elementary fields, we show that we can disguise one coset $\mathcal G/\mathcal H$ such that at low energies the phenomenology of the model is better described with a different coset $\mathcal G'/\mathcal H'$. Extra scalar fields acquire masses comparable to the rest of the strong sector resonances and therefore are no longer considered pNGBs. Following this procedure we demonstrate that two models with promising UV-completions can be disguised as the more minimal $SO(5)/SO(4)$ coset.