Yukihiro Fujimoto, Kenji Nishiwaki, Makoto Sakamoto
We propose a new mechanism for generating CP phase via Higgs vacuum expectation value originating from geometry of an extra dimension. Allowing a twisted boundary condition for the Higgs doublet drives us into an extra-dimension-coordinate-dependent vacuum expectation value containing a CP phase degree of freedom. With this mechanism, we construct a phenomenological model on S1 which can simultaneously and naturally explain the origin of fermion generation, quark mass hierarchy, and the structure of the Cabibbo-Kobayashi-Maskawa matrix with the CP phase. By introducing point interactions, which are additional boundary points on S1, the 5D quarks realize the three generations. Our situation is phenomenologically-preferred one since all the flavor structures are realized with good precision and almost all dimensionless scaled parameters take values of natural O(10) magnitudes. An almost exponential vacuum expectation value profile of a scalar singlet, which appears in the Yukawa sector, helps the naturalness in magnitudes of input parameters.
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http://arxiv.org/abs/1301.7253
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