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

TL;DR

This paper extends the Weinberg-Salam electroweak theory by replacing the SU(2) group with octonionic algebra, leading to new neutral and charged vector bosons with unique interaction properties.

Contribution

It introduces a novel octonionic algebra framework for electroweak interactions, resulting in new bosons and altered interaction characteristics.

Findings

Introduction of neutral massive C and E bosons

Emergence of charged D and D* bosons

E-boson does not interact with matter

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.