Search for noncommutative interactions in process at the LHC

S. C. İnan; A. V. Kisselev

doi:10.1140/epjc/s10052-022-10803-1

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 845
https://doi.org/10.1140/epjc/s10052-022-10803-1

Regular Article - Theoretical Physics

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

S. C. İnan¹ and A. V. Kisselev²^b

¹ Department of Physics, Sivas Cumhuriyet University, 58140, Sivas, Turkey
² Division of Theoretical Physics, A.A. Logunov Institute for High Energy Physics, NRC “Kurchatov Institute”, 142281, Protvino, Russia

^b alexandre.kisselev@ihep.ru

Received: 14 June 2022
Accepted: 14 September 2022
Published online: 28 September 2022

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 $γ γ \to γ γ$ $\gamma \gamma \rightarrow \gamma \gamma$ 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 $Λ_{NC} = 1.64 (1.35)$ $\Lambda _{\mathrm {NC}} = 1.64(1.35)$ TeV can be probed in the $p p \to p (γ γ) p \to p^{'} (γ γ) p^{'}$ $pp\rightarrow p(\gamma \gamma )p \rightarrow p'(\gamma \gamma )p'$ 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.

© The Author(s) 2022

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