Enveloping algebra Noncommutative SM: Renormalisability and High Energy Physics Phenomenology

TL;DR

This paper discusses a noncommutative gauge field theory based on enveloping algebra, demonstrating its renormalizability at one loop and analyzing experimental bounds on the noncommutativity scale, which is constrained to a few TeV.

Contribution

It introduces a first-order noncommutative gauge theory that is anomaly-free and one-loop renormalizable, providing a framework for phenomenological analysis.

Findings

The gauge sector is one-loop renormalizable.

Experimental bounds place the noncommutativity scale around a few TeV.

The theory is constructed as an effective, anomaly-free model.

Abstract

In this talk we discuss enveloping algebra based 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. Limits on the scale of noncommutativity parameter Lambda_NC, via related phenomenology and associated experiments, are analyzed and a firm bound to the scale of the noncommutativity is set around few TeV's.