Vector model of the weak interactions

Abstract

We search for a renormalizable gauge theory incorporating our modified weak current. The right-handed quarks participate to give a natural explanation for the nonleptonic $\Delta I=\frac{1}{2}$ rule. We argue that extra quarks and/or extra leptons are necessary. We focus on a vector-like model involving six different quark "flavors," each in a color triplet: 18 quarks all told. The model also involves a third charged lepton and several massive neutral leptons. We compare the predictions of our model with the conventional (12 quarks) model. Present experimental data are insufficient to discriminate between the two models. We give detailed analyses and predictions concerning charged-current and neutral-current phenomena, including inclusive scattering, scattering of neutrinos by electrons, single-pion production, and neutrino or antineutrino elastic scattering on protons.