Finite unitary theory of pure leptonic weak interaction

Abstract

Based on the $V-A$ interaction, a finite, unitary theory of pure leptonic weak interaction is formulated in the framework of the finite quantum field theory with shadow states. A perturbative series, originated from the conventional expansion, is obtained. This new perturbative series converges in the high-energy region where the original one does not. The difference between the prediction of this theory and the universal $V-A$ theory is negligible in low-energy regions but becomes significant in high-energy regions.