Spontaneous symmetry breaking and masses numerical results in DFR noncommutative space-time

TL;DR

This paper constructs a standard electroweak model within the DFR noncommutative space-time framework, analyzing symmetry breaking and calculating masses of new bosons, advancing understanding of noncommutative gauge theories.

Contribution

It introduces a novel electroweak model in DFR noncommutative space-time, incorporating spontaneous symmetry breaking and mass calculations for gauge bosons.

Findings

Electroweak symmetry breaking was successfully implemented.

Masses of new bosons in the DFR framework were computed.

The model extends noncommutative gauge theories to include electroweak interactions.

Abstract

With the elements of the Doplicher, Fredenhagen and Roberts (DFR) noncommutative formalism, we have constructed the standard electroweak model. To accomplish this task we have begun with the WM-product basis group of symmetry. We have introduced the spontaneous symmetry breaking and the hypercharge in DFR framework. The electroweak symmetry breaking was analyzed and the masses of the new bosons were computed.