クォーク・レプトンの質量及び混合の起源 - S3不変モデル -

概要

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Weak bases of flavors (u,c)L,R, (d,s)L,R, (e,μ)L,R, (νe,νμ)L,R are assumed as the S3 doublet and tL,R, bL,R, τL,R, ντL,R are the S3 singlet and further there are assumed S3 doublet Higgs(H1D,H2D) and S3 singlet Higgs HS. We suggest an S3 invariant Yukawa interaction, in which masses caused from the interaction of S3 singlet flavors and Higgs are very large and masses caused from interactions of S3 doublet flavors and Higgs are very small, and the ratio of vacuum expectation values λ=<|H1D|>0/<|H2D|>0 is very small. In this model, we can explain the quark sector mass hierarchy, quark mixing VCKM and measure of CP violation naturally. The leptonic sector mass hierarchy and neutrino mixing described by VMNS having one-maximal and one-large mixing character can also be explained naturally without any other symmetry restrictions. An origin of the Cabibbo angle is explained by the ratio λ and an origin of CP violation by the phase difference between HS and H1D.
2011-02-00