Composite Model and CP Violation

In an axiomatic way we propose a fermion-boson-type Composite Model for quarks and leptons based on the gauge theory equipped with Cartan connectjons. 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)hL ⊗ SU(2) h R gauge symmetry ( h means hyper-color gauge ). Preons are composed into subquarks which are intermediate clusters towards quarks and leptons. Weak interactions are residual ones of hyper-color gauge interactions. W-and Z-boson are also composite objects of subquarks, which introduces the idea of existence of their scalar partners ( S ) by hyper-fine-splitting whose masses would be around 110 ∼ 120 GeV. The mechanism of making higher generations is obtained by adding neutral scalar subquark ( y ) composed of a preon-antipreon pair. Creation or annihilation of y inside quarks induces the coupling constants of flavor-mixing weak interactions which are all complex numbers (contrary to CKM-matrix elements) and then they all become sources of direct and mixing-induced CP violations. Exchange of y between quark and anti-quark inside neutral pseudo-scalar meson ( P 0 ) gives indirect CP violation and mass-difference of P 0 and P 0. Current experimental results of CP violation ( Belle, BaBar, CLEO, KTeV and NA48 ) are inspected by this Composite Model. This model suggests the candidates for “ Dark Energy ” and “ Dark Matter ”. ∗e-mail : [email protected]