Scaling of the CKM Matrix in the 5D MSSM

TL;DR

This paper investigates how the CKM matrix and flavor observables evolve in a 5D MSSM framework, highlighting differences based on matter field localization and implications for unification scale physics.

Contribution

It provides a detailed analysis of Yukawa coupling evolution in 5D MSSM, comparing bulk versus brane matter field scenarios and their phenomenological implications.

Findings

Brane-localized matter fields with large tanβ are more distinguishable.

Different matter localization scenarios lead to distinct Yukawa evolution behaviors.

The model's validity up to the unification scale constrains flavor observable predictions.

Abstract

We discuss a five-dimensional Minimal Supersymmetric Standard Model compactified on a $S^1/Z_2$ orbifold, looking at, in particular, the one-loop evolution equations of the Yukawa couplings for the quark sector and various flavor observables. Different possibilities for the matter fields are discussed, that is, where they are in the bulk or localised to the brane. The two possibilities give rise to quite different behaviours. By studying the implications of the evolution with the renormalisation group of the Yukawa couplings and of the flavor observables we find that, for a theory that is valid up to the unification scale, the case where fields are localised to the brane, with a large $\tan\beta$, would be more easily distinguishable from other scenarios.