Scaling of Yukawa Couplings and Quark Flavor Mixings in the UED Model

TL;DR

This paper investigates how Yukawa couplings and quark mixings evolve in the Universal Extra Dimension model, revealing significant effects on fermion mass scaling and correlations between mixing angles and mass ratios.

Contribution

It provides the first detailed analysis of Yukawa coupling and quark mixing evolution in the UED model using one-loop renormalization group equations.

Findings

UED model significantly affects fermion mass scaling.

Radiative effects on the unitarity triangle are minimal.

Renormalization invariants $R_{13}$ and $R_{23}$ effectively describe correlations.

Abstract

The evolution properties of Yukawa couplings and quark mixings are performed for the one-loop renormalization group equations in the Universal Extra Dimension (UED) model. It is found that the UED model has a substantial effect on the scaling of the fermion masses, including both quark and lepton sectors, whilst the radiative effects on the unitarity triangle is not a sensitive test in this model. Also, for this model, the renormalization invariants $R_{13}$ and $R_{23}$ describe the correlation between the mixing angles and mass ratios to a good approximation, with a variation of the order of $\lambda^4$ and $\lambda^5$ under energy scaling respectively.