Renormalizability and Phenomenology of theta-expanded Noncommutative Gauge Field Theory

TL;DR

This paper investigates a theta-expanded noncommutative gauge theory, demonstrating its one-loop renormalizability and exploring phenomenological implications such as forbidden decays, setting experimental bounds on noncommutativity scale around a few TeV.

Contribution

It presents a first-order theta-expanded noncommutative gauge theory that is anomaly-free and renormalizable at one loop, with phenomenological analysis of forbidden decays.

Findings

One-loop renormalizability of the gauge sector.

Experimental bounds on noncommutativity scale around a few TeV.

Analysis of forbidden Z -> gamma gamma decay.

Abstract

In this article we consider theta-expanded noncommutative gauge field theory, constructed at the first order in noncommutative parameter theta, as an effective, anomaly free theory, with one-loop renormalizable gauge sector. Related phenomenology with emphasis on the standard model forbidden decays, is discussed. Experimental possibilities of Z -> gamma gamma decay are analyzed and a firm bound to the scale of the noncommutativity parameter is set around few TeV's.