The one-loop renormalization of the gauge sector in the \theta-expanded noncommutative standard model

TL;DR

This paper develops a one-loop renormalizable version of the standard model's gauge sector on noncommutative space-time, expanding in the noncommutativity parameter and ensuring consistency at the quantum level.

Contribution

It introduces a novel noncommutative gauge sector model that is renormalizable at one-loop order to first order in theta expansion.

Findings

Successfully constructed a one-loop renormalizable noncommutative gauge sector

Ensured consistency of the model at quantum level to first order in theta

Provides a foundation for further noncommutative standard model research

Abstract

In this paper we construct a version of the standard model gauge sector on noncommutative space-time which is one-loop renormalizable to first order in the expansion in the noncommutativity parameter $\theta$.