A Random Clockwork of Flavor

TL;DR

This paper introduces a simple, parameter-efficient clockwork model that explains Standard Model flavor hierarchies through random couplings, aligning well with observed data and interpreting the mechanism as zero mode localization.

Contribution

It presents a novel, minimal clockwork framework for flavor hierarchies based on random couplings and zero mode localization, with detailed phenomenological implications.

Findings

Model reproduces observed flavor hierarchies

Distributions match experimental data

Constraints from lepton flavor violation and meson decays

Abstract

We propose a simple clockwork model of flavor which successfully generates the Standard Model flavor hierarchies from random order-one couplings. With very few parameters we achieve distributions of models in excellent agreement with observation. We explain in some detail the interpretation of our mechanism as random localization of zero modes in theory space. The scale of the vectorlike fermions is mostly constrained by lepton flavor violation with secondary constraints arising from rare meson decays.