Flavor from the double tetrahedral group without supersymmetry

TL;DR

This paper explores non-supersymmetric flavor models based on the double tetrahedral group, fitting fermion masses and mixing angles across various flavor scales, and demonstrating viable textures without supersymmetry.

Contribution

It extends flavor models to non-supersymmetric frameworks, analyzing their compatibility with experimental data over a wide range of flavor scales.

Findings

Good fit to fermion masses and CKM angles across many scales

Preference for lower flavor scales within experimental constraints

Viability of flavor scale at the Planck scale

Abstract

We consider a class of flavor models proposed by Aranda, Carone and Lebed, relaxing the assumption of supersymmetry and allowing the flavor scale to float anywhere between the weak and Planck scales. We perform global fits to the charged fermion masses and CKM angles, and consider the dependence of the results on the unknown mass scale of the flavor sector. We find that the typical Yukawa textures in these models provide a good description of the data over a wide range of flavor scales, with a preference for those that approach the lower bounds allowed by flavor-changing-neutral-current constraints. Nevertheless, the possibility that the flavor scale and Planck scale are identified remains viable. We present models that demonstrate how the assumed textures can arise most simply in a non-supersymmetric framework.