Model for Leptonic Interactions

There exists a theory of weak interactions, based on the Kemmer-Yukawa coupling of a scalar charged boson to the weak current, that is consistent with all known facts. We study the mathematical consistency of this theory and discover that the divergences of low-order perturbation amplitudes are much less serious than anticipated. Thus, (1) electromagnetic corrections of order $e^3{\mathrm{}\left(G\right)\mathrm{}}^{\frac{1}{2}}$ to the amplitude for weak photoproduction of the boson, (2) weak corrections of order $\mathrm{eG}$ to the magnetic moment of fermions, and (3) weak corrections of order $e^{2}G$ to Compton scattering from charged fermions are all finite.