Lorentz violation parameters and noncommutative scale

TL;DR

This paper investigates the relationship between Lorentz violation parameters and the noncommutative scale within the Standard Model extension, deriving new bounds on noncommutativity from existing experimental constraints.

Contribution

It establishes a connection between Lorentz violation parameters and the noncommutative scale, providing new bounds based on experimental data.

Findings

New bounds on noncommutative scale of a few to tens of TeV

Relations between Lorentz violation parameters and noncommutative parameters

Utilizes existing experimental bounds to constrain noncommutative theories

Abstract

We consider the noncommutative Standard Model that contains Lorentz symmetry violation as a subset of the Standard Model extension. We introduce a constant electromagnetic field as a background to derive mutual relations between the free parameters of both theories. As the Lorentz violation parameters of the Standard Model extension are extensively explored in different experiments and many stringent bounds on these parameters are available, we can find new bounds on the scale of noncommutativity of the order of a few to tens of teraelectron volts.