On the IR/UV mixing and experimental limits on the parameters of canonical noncommutative spacetimes

TL;DR

This paper examines how ultraviolet physics influences low-energy experimental limits on parameters of canonical noncommutative spacetimes, highlighting the conditional nature of these limits and the importance of combining high- and low-energy data.

Contribution

It demonstrates that UV effects significantly alter low-energy predictions in noncommutative spacetime models, challenging standard effective field theory approaches.

Findings

UV physics modifies low-energy limits on noncommutative parameters

Standard effective techniques are only valid in non-predictive regimes

Combining astrophysical and laboratory data is essential for constraints

Abstract

We investigate some issues that are relevant for the derivation of experimental limits on the parameters of canonical noncommutative spacetimes. By analyzing a simple Wess-Zumino-type model in canonical noncommutative spacetime with soft supersymmetry breaking we explore the implications of ultraviolet supersymmetry on low-energy phenomenology. The fact that new physics in the ultraviolet can modify low-energy predictions affects significantly the derivation of limits on the noncommutativity parameters based on low-energy data. These are, in an appropriate sense here discussed, ``conditional limits''. We also find that some standard techniques for an effective low-energy description of theories with non-locality at short distance scales are only applicable in a regime where theories in canonical noncommutative spacetime lack any predictivity, because of the strong sensitivity to unknown UV physics. It appears useful to combine high-energy data, from astrophysics, with the more readily available low-energy data.