Evolution of Yukawa couplings and quark flavour mixings in 2UED models

TL;DR

This paper derives the one-loop renormalization group equations for Yukawa couplings and quark mixings in six-dimensional two Universal Extra Dimension models, analyzing their evolution and model dependence up to the unification scale.

Contribution

It provides the first detailed derivation of Yukawa and quark mixing evolution in 6D UED models, including different matter field configurations.

Findings

Significant RG corrections to Yukawa couplings and CKM parameters at high energies.

Differences in evolution patterns between bulk and brane-localized matter fields.

Comparison of 6D models with 5D UED models showing model-dependent effects.

Abstract

The evolution equations of the Yukawa couplings and quark mixings are derived for the one-loop renormalization group equations in the two Universal Extra Dimension Models (UED), that is six-dimensional models, compactified in different possible ways to yield standard four space-time dimension. Different possibilities for the matter fields are discussed, such as the case of bulk propagating or localised brane fields. We discuss in both cases the evolution of the Yukawa couplings, the Jarlskog parameter and the CKM matrix elements, and we find that, for both scenarios, as we run up to the unification scale, significant renormalization group corrections are present. We also discuss the results of different observables of the five-dimensional UED model in comparison with these six-dimensional models and the model dependence of the results.