Gauge theory of weak interactions without charm

Abstract

We propose a new gauge theory of weak interactions in which we double the intermediate vector bosons instead of introducing charm. Assuming the baryon octet to be elementary, we derive the $\ensuremath{\Delta}S$ selection rules and the absence of the strangeness-changing neutral current. The Cabibbo angle is shown to be smaller than $\frac{\ensuremath{\pi}}{4}$. We infer from $\ensuremath{\mu}\ensuremath{-}e$ universality that $\ensuremath{\mu}\ensuremath{-}e$ asymmetry arises such that the mass of ${\ensuremath{\nu}}_{e}$ is zero but the mass of ${\ensuremath{\nu}}_{\ensuremath{\mu}}$ is presumably not. We show that almost all the masses of baryons and leptons are calculable, which then makes it plausible that the $\ensuremath{\Delta}I$ selection rules and the isospin symmetry of hadrons follow as further consequences. One experimental test of this theory is to find one of the two Higgs scalars which both decay into 2\ensuremath{\mu}, but not appreciably into any other charged particles, with the lifetime roughly that of ${\ensuremath{\pi}}^{0}$.