UV complete composite Higgs models

TL;DR

This paper explores a renormalizable, UV-complete composite Higgs model where the Higgs boson emerges as a mixture of elementary and composite states, addressing flavor issues and potential electric dipole moment effects.

Contribution

It introduces a new confining gauge theory framework that combines elementary and composite Higgses, providing a UV-complete solution to the hierarchy and flavor problems.

Findings

The Higgs is a mixture of elementary and composite states.

The model naturally generates SM Yukawa couplings from elementary Higgs interactions.

Potential implications for electric dipole moments of SM particles.

Abstract

We study confining gauge theories with fermions vectorial under the SM that produce a Higgs doublet as a Nambu-Goldstone boson. The vacuum misalignment required to break the electro-weak symmetry is induced by an elementary Higgs doublet with Yukawa couplings to the new fermions. The physical Higgs is a linear combination of elementary and composite Higgses while the SM fermions remain elementary. The full theory is renormalizable and the SM Yukawa couplings are generated from the ones of the elementary Higgs allowing to eliminate all flavour problems but with interesting effects for Electric Dipole Moments of SM particles. We also discuss how ideas on the relaxation of the electro-weak scale could be realised within this framework.