Partially composite Higgs models: Phenomenology and RG analysis

TL;DR

This paper explores the phenomenology of partially composite Higgs models, analyzing their constraints from vacuum stability, perturbativity, and LHC data, and discusses their potential to realize various composite and technicolor scenarios.

Contribution

It introduces a general framework for partially composite Higgs models with explicit gauge-Yukawa realizations, analyzing their phenomenology and stability constraints.

Findings

Vacuum stability constraints limit parameter space.

A small stable region exists near the conformal limit, but is disfavored by LHC.

Models can realize both composite-Higgs and technicolor scenarios.

Abstract

We study the phenomenology of partially composite-Higgs models where electroweak symmetry breaking is dynamically induced, and the Higgs is a mixture of a composite and an elementary state. The models considered have explicit realizations in terms of gauge-Yukawa theories with new strongly interacting fermions coupled to elementary scalars and allow for a very SM-like Higgs state. We study constraints on their parameter spaces from vacuum stability and perturbativity as well as from LHC results and find that requiring vacuum stability up to the compositeness scale already imposes relevant constraints. A small part of parameter space around the classically conformal limit is stable up to the Planck scale. This is however already strongly disfavored by LHC results. In different limits, the models realize both (partially) composite-Higgs and (bosonic) technicolor models and a dynamical extension of the fundamental Goldstone-Higgs model. Therefore, they provide a general framework for exploring the phenomenology of composite dynamics.