The Noncommutative Standard Model at O(theta^2)

TL;DR

This paper derives second-order Seiberg-Witten maps for noncommutative gauge theories, revealing new ambiguities that affect observables and extend the parameter space of the noncommutative standard model.

Contribution

It provides the most general second-order Seiberg-Witten maps, uncovering additional ambiguities that influence physical predictions in noncommutative gauge theories.

Findings

More ambiguities exist in second-order Seiberg-Witten maps than previously known.

Some ambiguities impact observable quantities like scattering cross sections.

The parameter space of the noncommutative standard model is expanded beyond first order.

Abstract

We derive the most general Seiberg-Witten maps for noncommutative gauge theories in second order of the noncommutative parameter theta. Our results reveal the existence of more ambiguities than previously known. In particular, we demonstrate that some of these ambiguities enter observables like scattering cross sections and enlarge the parameter space of the noncommutative standard model beyond O(theta).