Search for noncommutative interactions in $\gamma\gamma\rightarrow\gamma\gamma$ process at the LHC

TL;DR

This paper investigates noncommutative QED effects in light-by-light scattering at the 14 TeV LHC, setting new bounds on the noncommutative scale that surpass previous collider limits.

Contribution

It provides the first experimental bounds on noncommutative QED parameters using light-by-light scattering at the LHC, demonstrating the process's sensitivity to noncommutative effects.

Findings

Noncommutative scale up to 1.65 TeV can be probed.

Stronger bounds than high-energy linear colliders.

Light-by-light scattering is sensitive to space-time noncommutativity.

Abstract

The noncommutative QED (NCQED) has a non-Abelian nature due to the presence of 3- and 4-photon vertices in the lagrangian. Thus, NCQED predicts a new physics contribution to the $\gamma\gamma\rightarrow\gamma\gamma$ scattering already at the tree level. We have examined NCQED by studying the light-by-light process at the 14 TeV LHC with intact protons. Our results show that the NC scale up to $\Lambda_{\mathrm{NC}} = 1.65(1.35)$ TeV can be probed in the $pp\rightarrow p(\gamma\gamma)p \rightarrow p'(\gamma\gamma)p'$ collision for the time-space (space-space) NC parameters. These bounds are stronger than the limits that can be obtained in the light-by-light scattering at high energy linear colliders.