B^0-\bar B^0 Mixing in Gauge-Higgs Unification

TL;DR

This paper investigates flavor mixing and FCNC processes in a five-dimensional gauge-Higgs unification model, calculating B meson mixing rates and deriving bounds on the compactification scale from experimental data.

Contribution

It provides a detailed calculation of B meson mixing due to KK gluon exchange in gauge-Higgs unification, establishing bounds on the model's compactification scale.

Findings

Lower bound on compactification scale of O(TeV) from B meson data

Calculation of B^0-ar B^0 mixing rates due to KK gluons

Demonstration of flavor mixing via non-diagonal mass terms

Abstract

We discuss flavor mixing and resulting Flavor Changing Neutral Current (FCNC) in a five dimensional SU(3)_color \otimes SU(3) \otimes U'(1) gauge-Higgs unification. Flavor mixing is realized by the fact that the bulk and brane localized mass terms are not diagonalized simultaneously. As the concrete FCNC processes, we calculate the rate of B^0_d-\bar B^0_d mixing and B^0_s-\bar B^0_s mixing due to the exchange of non-zero Kaluza-Klein gluons at the tree level. We obtain a lower bound on the compactification scale of order O(TeV) by comparing our prediction on the mass difference of neutral B meson with the recent experimental data.