Realistic GUT Yukawa Couplings from a Random Clockwork Model

TL;DR

This paper develops realistic flavor models within SU(5) and SO(10) GUT frameworks using a simple, renormalizable clockwork mechanism that naturally generates hierarchical Yukawa couplings without exotic representations.

Contribution

It introduces a novel clockwork-based approach to generate realistic Yukawa hierarchies in GUTs with minimal symmetries and no exotic fields, ensuring renormalizability.

Findings

Hierarchical Yukawa couplings emerge from random matrix products.

Models are renormalizable and do not require exotic representations.

Clockwork structure is enforced by minimal U(1) symmetries.

Abstract

We present realistic models of flavor in SU(5) and SO(10) grand unified theories (GUTs). The models are renormalizable and do not require any exotic representations in order to accommodate the necessary GUT breaking effects in the Yukawa couplings. They are based on a simple clockwork Lagrangian whose structure is enforced with just two (one) vectorlike U(1) symmetries in the case of SU(5) and SO(10) respectively. The inter-generational hierarchies arise spontaneously from products of matrices with order one random entries.