Universal theory of weak interactions in the paracharge scheme and quark-lepton analogy

Abstract

A universal theory of weak interaction is constructed by exploiting an analogy inherent between the four leptons and the four quarks of the paracharge scheme proposed recently to deal with the ψ-particles. The leptons (ν_e,ν_μ,e_L,μ_L) are assigned to the representation (½, ½) and the quarks (p, n_W)_L and (χ,λ_W)_L to the representations (½, 0) and (0, ½), respectively, of the group O₄ (L stands for the left-handed projections and W for the Cabibbo rotated orthogonal combinations of n and λ). Universality is ensured by embedding the above (weak) O₄ into thesimple group O₅ and gauging the latter. In the final effective weak interaction, besides the conventional V-A charged-current part, a (V-A) neutral current interaction (consistent with the present data) is naturally present. The neutral current has a ν̅_μν_μ term but no ν̅_eν_e term, thus providing a crucial test of the theory.