Lepton flavor violating decays of μ and τ leptons in a gauge group SU(2)L × SU(2)R × SU(2)Y

The electroweak unification group [Formula: see text] is proposed for the charged lepton flavor violating decays of the muon [Formula: see text] and tau [Formula: see text] leptons. The group [Formula: see text] is in the lepton space. The left-handed leptons and antileptons are assigned to the fundamental representation [Formula: see text] of the semi-simple group. The gauge group [Formula: see text] is spontaneously broken to [Formula: see text], where [Formula: see text] is the hypercharge, by introducing a scalar multiplet [Formula: see text] which belongs to the triplet representation 3 of the [Formula: see text] and is singlet under [Formula: see text]. At this stage charged vector bosons [Formula: see text] of [Formula: see text] which mediate the lepton flavor violating decays acquire masses and are decoupled with one Higgs scalar [Formula: see text]. The residual group [Formula: see text] has all the features of the left–right electroweak unification group extensively studied in the literature. The probability for lepton flavor violating decays is [Formula: see text].

A GENERATION MODEL OF COMPOSITE LEPTONS AND QUARKS

A new composite model for leptons and quarks is presented. The model treats leptons and quarks as composites of three kinds of spin-½ particles (rishons), which belong to a fundamental triplet representation of a flavor SU (3) symmetry. A super-strong color-type force binds rishons together to form colorless leptons or quarks. Quarks display a valence property, which corresponds to the quark color of the Standard Model. Leptons have no valence property and are inert with respect to the super-strong color interaction. Both the strong color force and the weak interaction of the Standard Model are residual interactions of the super-strong color force in the new model.