Finite Anomalous Magnetic Moment in the Gauge-Higgs Unification

We show that the anomalous magnetic moment of fermion in the gauge-Higgs unification is finite in any spacetime dimensions, which is a new predictive physical observable similar to the Higgs mass.Comment: 12 pages, 2 eps files, final version to appear in PR

Lower Bound for Compactification Scale from Muon g - 2 in the Gauge-Higgs Unification

We discuss a muon anomalous magnetic moment in a five dimensional SU (3) gauge- Higgs unification compactified on M^4 \times S^1 /Z_2 space-time including Z_2 -odd bulk mass for a fermion. We calculate one-loop corrections to the anomalous magnetic moment of muon and find a lower bound for the compactification scale to be around 5 \sim 6 TeV by comparing nonzero Kaluza-Klein mode contributions with the muon (g - 2) experiment at BNL.Comment: 42 pages, 22 ps files, We reanalyzed muon g-2 in the ten dimensional representatio

Structure of S and T Parameters in Gauge-Higgs Unification

We investigate the divergence structure of one-loop corrections to S and T parameteres in gauge-Higgs unification. We show that these parameters are finite in five dimensions, but divergent in more than five dimensions. Remarkably, a particular linear combination of S and T parameters becomes finite in six dimension case, which is indicated from the operator analysis in a model independent way.Comment: 7 pages, Talk given at 2006 International Workshop SCGT 06 "Origin of Mass and Strong Coupling Gauge Theories" 21-24 November 2006, Nagoya, Japa

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

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.Comment: 26 pages, 12 figures. arXiv admin note: text overlap with arXiv:1005.245

Calculable One-Loop Contributions to S and T Parameters in the Gauge-Higgs Unification

We investigate the one-loop contributions to S and T oblique parameteres in gauge-Higgs unification. We show that these parameters are finite in five dimensional space-time, but are divergent in more than five dimensions. Remarkably, however, we find that a particular linear combination of S and T parameters, S - 4 \cos \theta_{W} T, becomes finite for six dimensional space-time, though each of these parameters is divergent. This is because, in the Gauge-Higgs unification scenario, the operators relevant for S and T parameters are not independent, but are included in a unique higher dimensional gauge invariant operator. Thus the predictable linear combination is model independent, irrespectibly of the detail of the matter content.Comment: 25 pages, 1 eps file, minor corrections, version to appear in PR