Lepton-Quark Symmetry, CP-Violation and the Decay μ→eγ
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If one attempts to understand a dynamical basis for fundamental properties such as the lepton-quark symmetry and parity violation, it appears that one needs in general several exotic gauge bosons. We discuss the phenomenological implications of those presumably massive bosons on CP-violation and the decay μ→eγ. We first consider the exotic gauge doublet (Y^+,Y^0) appearing in the vector-like SU(6) model discussed by Inoue et al., which realizes the ordinary 4-quarks and 4-leptons as 15-plet representations of SU(6). As is shown, this SU(6) scheme allows a relatively simple model of sub-quarks and sub-leptons, and it is useful as a means to find relevant Feynman rules. We find that CP-violation induced by those exotic bosons (Y^+,Y^0) approximately reproduces the results of the superweak theory in the K^0 sector, provided that the OZI rule and the ΔI=1/2 enhancement are explained in the ordinary 4-quark model. The electric dipole moment D of the neutron is small D/e ≤10^<-27> cm. A reasonable estimate of the exotic decays of the muon is Γ(μ→eγ)/Γ(μ→all)≲10^<-13> and Γ(μ→eee)/Γ(μ→all)≲10^<-10>. We also comment on the implications of the lepto-quark bosons appearing in the fractional charge version of the Pati-Salam model. In a light quark model with only four flavors, we estimate Γ(μ→eγ)/Γ(μ→all)≤10^<-11>.
- 理論物理学刊行会の論文
- 1977-09-25
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