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

TL;DR

This paper develops a one-loop renormalizable version of the standard model gauge sector on noncommutative space-time using Seiberg-Witten redefinition, focusing on first-generation matter fields.

Contribution

It introduces a novel noncommutative gauge sector for the standard model that achieves one-loop renormalizability at first order in noncommutativity.

Findings

Successfully constructed a one-loop renormalizable noncommutative gauge sector.

Applied Seiberg-Witten redefinition to achieve renormalizability.

Focused on first-generation matter fields.

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 $\theta$. The one-loop renormalizability is obtained by the Seiberg-Witten redefinition of the noncommutative gauge potential for the model containing the usual six representations of matter fields of the first generation.