Quark mass matrices in magnetized orbifold models with localized Fayet-Iliopoulos terms

TL;DR

This paper investigates how localized Fayet-Iliopoulos terms in magnetized orbifold models influence quark mass matrices by causing strong localization of zero-mode wavefunctions, providing insights into fermion mass generation.

Contribution

It introduces a framework for calculating quark mass matrices considering localized FI terms and gauge backgrounds in magnetized orbifold models, highlighting the impact of wavefunction localization.

Findings

Localized FI terms lead to strong zero-mode wavefunction localization.

Computed quark mass matrices reflect the effects of localization.

The model offers a new approach to fermion mass hierarchy.

Abstract

We study magnetized orbifold models. We assume the localized Fayet-Iliopoulos terms and the corresponding gauge background. Such terms lead to strong localization of zero-mode wavefunc- tions. In this setup, we compute quark mass matrices.