Yukawa textures from non-invertible symmetries

TL;DR

This paper explores how non-invertible symmetries can generate specific Yukawa textures in quark and lepton flavor structures, revealing textures that traditional symmetries cannot produce.

Contribution

It demonstrates the construction of non-invertible symmetries from discrete groups and gauge symmetries to realize unique Yukawa textures in particle physics.

Findings

Realization of various Yukawa textures including nearest neighbor interaction.

Certain textures are achievable only through non-invertible symmetries, not conventional ones.

Non-invertible symmetries expand the landscape of flavor structure models.

Abstract

Phenomenological aspects of non-invertible symmetries, in particular the flavor structure of quarks and leptons, are studied. We start with a $\mathbb{Z}_M$ discrete symmetry and gauge $\mathbb{Z}_2$ so as to obtain a non-invertible symmetry. We study which Yukawa textures can be derived from the non-invertible symmetries. Various textures can be realized and some of them cannot be realized by a conventional symmetry. For example, the nearest neighbor interaction texture as well as other interesting textures of quarks and leptons are obtained.