Hierarchies from Higher Flavor Spin

TL;DR

This paper introduces a novel framework where Yukawa hierarchies emerge from powers of anarchic spurions in higher flavor symmetry representations, with explicit models and potential phenomenological implications.

Contribution

It develops a comprehensive construction for generating Yukawa hierarchies via higher representation spurions and explores their dynamical origin through scalar potentials.

Findings

Framework predicts distinctive flavor-changing neutral current patterns.

Potential for observable stochastic gravitational-wave backgrounds.

Explicit models demonstrating the hierarchy generation mechanism.

Abstract

We develop a framework in which Yukawa hierarchies arise from powers of fully anarchic spurions transforming in higher representations of the flavor symmetry group $SU(2)^{n_2}\times SU(3)^{n_3}$. The core mechanism is the progressive lifting of Yukawa ranks through successive outer products of composite doublets and triplets. We formulate the general construction in detail and build explicit models realizing it. We then investigate whether renormalizable scalar potentials for higher $SU(2)$ representations can dynamically generate anarchic spurions with non-vanishing composites. The framework predicts distinctive patterns in flavor-changing neutral currents and potentially observable stochastic gravitational-wave backgrounds.