Quaternionic Mass Matrices and CP Symmetry

A viable formulation of gauge theory with extra generations in terms of quaternionic fields is presented. For the theory to be acceptable, the number of generations should be equal to or greater than 4. The quark-lepton mass matrices are generalized into quaternionic matrices.It is concluded that explicit CP violation automatically disappears in both strong- and weak-interaction sectors.Comment: 10 pages, LaTe

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

Effective Action Approach to Heavy Particle Contributions and Wilsonian Renormalization

We work in theories with both light and heavy particles. A method to obtain an effective low energy action with respect to the light particle is presented. Thanks to Wilsonian renormalization, we obtain effective actions with finite number of local operators describing possible non-decoupling effects of heavy particles. The validity of the method is first checked by explicit computation of a specific observable, the $\rho$ - parameter, in the framework of effective theory. Then we discuss a procedure to obtain the full effective action with respect to light particles in a typical example of the system of (t, b) doublet, gauge bosons and Higgs doublet, regarding only t quark as a heavy particle.Comment: 13 pages, LaTeX209 file, using axodraw.st