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

Abstract

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