The Half-composite Two Higgs Doublet Model and the Relaxion

TL;DR

This paper introduces a new confining gauge theory that produces a mixed elementary and composite Higgs sector, with implications for collider physics, EDMs, and cosmological relaxation of the electroweak scale.

Contribution

It proposes a novel model combining elementary and composite Higgs fields via a confining gauge theory, connecting collider phenomenology and cosmological relaxation.

Findings

Potential observable effects in collider experiments.

Weak bounds from indirect searches.

Framework applicable to electroweak scale relaxation.

Abstract

We study a new confining gauge theory with fermions in a vectorial representation under the SM gauge group that allows for Yukawa interactions with the Higgs. If the fermion masses are smaller than the confinement scale this realizes a type I two Higgs doublet model where a composite Higgs mixes with the elementary Higgs. This class of models interpolates between an elementary and a composite Higgs and has interesting phenomenology with potentially observables effects in collider physics, EDMs and SM couplings but very weak bounds from indirect searches. The very same framework can be used to realize the cosmological relaxation of the electro-weak scale recently discussed in the literature.