Flavour hierarchies, extended groups and composites

TL;DR

This paper introduces a composite Higgs model with extended gauge symmetry that naturally explains flavor hierarchies, suppresses CKM mixing, and maintains an anarchic PMNS matrix, providing insights into fermion mass and mixing patterns.

Contribution

It presents a novel composite Higgs framework with extended non-universal gauge symmetry that accounts for flavor hierarchies and mixing angles.

Findings

CKM mixing angles are suppressed

PMNS matrix remains anarchic

Flavor hierarchies emerge naturally

Abstract

In these proceedings, I present a composite Higgs model in which the flavour hierarchies between the third and light families emerge naturally. In particular, CKM mixing angles turn out to be suppressed while PMNS matrix remains anarchic. This flavour structure arises as a consequence of the extended non-universal gauge symmetry of the model and the electroweak charges of the fundamental fermions of the new composite sector that realises the Higgs boson as a pseudo Nambu-Goldstone boson. The model is described in detail in arXiv:2412.14243.