Flavour hierarchies from emergent fundamental partial compositeness

TL;DR

This paper investigates composite Higgs models with fundamental partial compositeness, using the functional renormalisation group to analyze emergent bound states and their role in explaining fermion mass hierarchies.

Contribution

It introduces a novel analysis of fundamental partial compositeness with emergent composites using the functional renormalisation group approach.

Findings

Scaling of correlation functions determined

Indicative estimates for minimal theory provided

Insights into flavor hierarchies from emergent composites

Abstract

Composite Higgs extensions of the Standard Model provide an explanation for the large hierarchies between the Yukawa couplings. We study their realisation in the context of fundamental partial compositeness where the Standard Model fermions mix linearly with bound states of the new sector, consisting of a fermion and a scalar. The properties of this composite are unravelled with the functional renormalisation group approach using dynamically emergent composites. Specifically, we extract the scaling of correlation functions and provide indicative estimates for the minimal incarnation of the theory.