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

Comments: 16 pages, 5 figures