Evolution of Yukawa Couplings and Quark Flavour Mixings in the 5D MSSM

TL;DR

This paper derives the one-loop renormalization group equations for Yukawa couplings and quark mixings in the 5D MSSM, analyzing how extra-dimensional setups influence flavor evolution and mixing angles.

Contribution

It provides the first detailed derivation of Yukawa and quark mixing evolution equations in the 5D MSSM with different matter field localizations.

Findings

Yukawa couplings and quark mixings evolve differently depending on matter field localization.

Mass ratios and mixing angles are significantly affected by the extra-dimensional setup.

Implications for flavor physics and model building in higher-dimensional theories.

Abstract

The evolution equations of the Yukawa couplings and quark mixings are derived for the one-loop renormalization group equations in the 5D Minimal Supersymmetric Standard Model on an {$S^1 / Z_2$} orbifold. Different possibilities for the matter fields are discussed such as the cases of bulk propagating or brane localised fields. We discuss in both cases the evolution of the mass ratios and the implications for the mixing angles.