Flavor structure of magnetized $T^2/\mathbb{Z}_2$ blow-up models

TL;DR

This paper investigates how the flavor structure of Yukawa couplings in magnetized $T^2/\mathbb{Z}_2$ orbifold models is affected by the blow-up process, showing that realistic quark mass hierarchies and mixings can be achieved with fewer parameters.

Contribution

It demonstrates that the flavor structure in blow-up models can reproduce realistic quark hierarchies with fewer parameters than traditional orbifold models.

Findings

Flavor structure depends on radii of resolved fixed points.

Realistic quark mass hierarchies are achievable at specific blow-up radii.

Number of parameters can be reduced compared to original orbifold models.

Abstract

We discuss the flavor structure in a resolutions of magnetized $T^2/\mathbb{Z}_2$ orbifold models. The flavor structure of Yukawa couplings among chiral zero-modes is sensitive to radii of the resolved fixed points of $T^2/\mathbb{Z}_2$ orbifold. We show in concrete models that the realistic mass hierarchy and mixing angles of the quark sector can be realized at certain values of blow-up radii, where the number of parameters in the blow-up model can be smaller than toroidal orbifold one.