Generalization of Lagrangian of electro-weak interaction to the octonionic algebra

Abstract

In the article it is considered the extension of Weinberg-Salam theory from SU(2) group to the octonionic algebra. The extended octonionic algebra is used as particle wave function instead of spinors on su(2). It is shown, that leads to appearance of a new neutral massive vector C and E-bosons (peculiar property of the E-boson is that it does not interact with matter), and two charged massive vector $D$ and $D^*$ bosons.