Evolution of Quark Masses and Flavour Mixings in the 2UED

TL;DR

This paper studies how quark masses and flavor mixings evolve with energy in six-dimensional models, considering different matter field placements, revealing significant corrections up to the unification scale.

Contribution

It provides the first detailed analysis of Yukawa coupling and quark mixing evolution in 6D models with various matter localizations.

Findings

Similar evolution behaviors for bulk and brane-localized matter fields

Significant corrections to quark masses and mixings up to the unification scale

Validates the models' consistency with observed flavor physics

Abstract

The evolution equations of the Yukawa couplings and quark mixings are performed for the one-loop renormalisation group equations in six-dimensional models compactified in different possible ways to yield standard four space-time dimensions. Different possibilities for the matter fields are discussed, that is where they are in the bulk or localised to the brane. These two possibilities give rise to quite similar behaviours when studying the evolution of the Yukawa couplings and mass ratios. We find that for both scenarios, valid up to the unification scale, significant corrections are observed.