Gaussian Froggatt-Nielsen mechanism on magnetized orbifolds

TL;DR

This paper demonstrates that Yukawa matrices derived from supersymmetric Yang-Mills theory on magnetized orbifolds naturally exhibit Gaussian Froggatt-Nielsen-like structures, effectively reproducing observed quark and lepton mass ratios and mixing angles with minimal tuning.

Contribution

It introduces a novel Gaussian Froggatt-Nielsen mechanism within magnetized orbifold models, explaining fermion mass hierarchies without fine-tuning.

Findings

Yukawa matrices show Froggatt-Nielsen-like Gaussian hierarchies.

Reproduces quark and lepton mass ratios accurately.

Matches experimental CKM mixing angles.

Abstract

We study the structure of Yukawa matrices derived from the supersymmetric Yang-Mills theory on magnetized orbifolds, which can realize the observed quark and charged lepton mass ratios as well as the CKM mixing angles, even with a small number of tunable parameters and without any critical fine-tuning. As a reason behind this, we find that the obtained Yukawa matrices possess a Froggatt-Nielsen like structure with Gaussian hierarchies, which provides a suitable texture for them favored by the experimental data.