Light-by-Light Scattering and Spacetime Noncommutativity

Abstract

The aim of this article is to explore a potential usability of a photon-photon self-interaction from the noncommutative quantum electrodynamics (NCQED) in the case of light-by-light scattering ($\gamma \gamma \to \gamma \gamma$) in ultraperipheral Pb+Pb collisions, a reaction measured recently by ATLAS and planned for future experiments in hadron-hadron colliders. We compute the total cross section from both, the full one-loop standard model (SM) and the tree-level NCQED amplitudes, in the equivalent photon approximation with impact parameters, for various noncommutative scales, ${\mathrm{\Lambda }}_{\mathrm{NC}}$, and incoming nuclear spin-energy combinations. We find that NCQED contribution to the cross section has considerable increase at diphoton invariant mass range higher than ${\mathrm{\Lambda }}_{\mathrm{NC}}$, while the SM contribution is strongly suppressed in such region. Our results show that the current ATLAS $\sqrt{{\mathrm{s}}_{\mathrm{NN}}}=5.02$ TeV experiment can only probe ${\mathrm{\Lambda }}_{\mathrm{NC}}<100$ GeV region. On the other hand, future hadron-hadron collider proposals could have the potential to extend to ${\mathrm{\Lambda }}_{\mathrm{NC}}\lesssim 300$ GeV region, making the performance of $\mathrm{Pb}+\mathrm{Pb}(\gamma \gamma )\to \mathrm{Pb}+\mathrm{Pb}\gamma \gamma$ scattering on testing space-time noncommutativity close to that of the previously proposed photon-photon mode of linear electron-positron collider.

arXiv comment8 pages, 3 figures, version to be published in PRD

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• gamma-UPC: Automated generation of exclusive photon-photon processes in ultraperipheral proton and nuclear collisions with varying form factors
• Opportunities for new physics searches with heavy ions at colliders
• Light-by-Light Scattering at Next-to-Leading Order in QCD and QED
• Seiberg-Witten maps and scattering amplitudes of NCQED
• Two-loop massive QCD and QED helicity amplitudes for light-by-light scattering
• Seiberg-Witten map Invariant Scatterings
• Revisiting NCQED and scattering amplitudes
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• Induced CP-violation in the Euler-Heisenberg Lagrangian
• UV/IR mixing in Noncommutative SU(N) Yang-Mills theory