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

TL;DR

This paper investigates D^0-ar D^0 mixing within a gauge-Higgs unification model, showing how flavor mixing arises and deriving bounds on the compactification scale based on FCNC processes.

Contribution

It demonstrates a suppression mechanism for FCNC in gauge-Higgs unification and provides a lower bound on the compactification scale from D meson mixing data.

Findings

FCNC processes are suppressed for light quarks.

A lower bound of about 1 TeV on the compactification scale is established.

The predicted D meson mass difference aligns with experimental data.

Abstract

We discuss flavor mixing and resulting Flavor Changing Neutral Current (FCNC) in the SU(3) \otimes SU(3)_color gauge-Higgs unification. As the FCNC process we calculate the rate of D^0-\bar D^0 mixing due to the exchange of non-zero Kaluza-Klein gluons at the tree level. Flavor mixing is argued to be realized by the fact that the bulk mass term and brane localized mass term is not diagonalized simultaneously unless bulk masses are degenerate. It is shown that automatic suppression mechanism is operative for the FCNC processes of light quarks. We therefore obtain a lower bound on the compactification scale of order \cal O(TeV) by comparing our prediction on the mass difference of neutral D meson with the recent experimental data, which is much milder than what we naively expect assuming only the decoupling of non-zero Kaluza-Klein gluons.