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Quarks, Leptons as Fermion-Boson Composite Objects and Flavor-Mixings by Substructure Dynamics

Takeo Matsushima
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Abstract

A fermion-boson-type composite model for quarks and leptons is proposed. Elementary fields are only one kind of spin-1/2 and spin-0 preon. Both are in the global supersymmetric pair with the common electric charge of e/6 and belong to the fundamental representations of (3,2,2) under the spontaneously unbroken SU(3)_C*SU(2)_L*SU(2)_R gauge symmetry induced necessarily by the concept of ``Cartan connection'' equipped with ``Soldering Mechanism''. Preons are composed into subquarks which are ``intermediate clusters'' towards quarks and leptons. The mechanism of making higher generations is obtained by adding neutral scalar subquark composed of a preon-antipreon pair in the 3-state of SU(2)_{L,R}. This model predicts the CKM matrix elements : |V_{ts}|=2.6*10^{-2}},|V_{td}|=1.4*10^{-3}; the neutral pseudoscalar meson mass differences : {Delta}M_D\approx10^{-14} GeV, {Delta}M_{B_s}\approx10^{-11} GeV,{Delta}M_{T_u}\approx10^{(-10\sim{-9})} GeV and ΔM_{T_c}\approx10^{(-8\sim{-7})} GeV; the phases of CP violation : {theta}_K=θ_D=θ_{B_s}=θ_{T_c} \simeq(1/2)θ_{B_d}\simeq(1/2)θ_{T_u}.This model also suggests that ΔM^2\approx10{(-8\sim{-7})}eV^2 with large mixing angle in (ν_e,ν_μ)-oscillation.

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Takeo Matsushima. 1999-02-05. Quarks, Leptons as Fermion-Boson Composite Objects and Flavor-Mixings by Substructure Dynamics. https://arxiv.org/abs/hep-ph/9901234

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