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

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 $\gamma \gamma \to \gamma \gamma$ 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 $pp\to p(\gamma \gamma )p\to p^{\prime }(\gamma \gamma )p^{\prime }$ 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.

26 pages, 5 figures. Two comments and several references are added

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• Central Exclusive Particle Production at High Energy Hadron Colliders
• Observation and measurement of forward proton scattering in association with lepton pairs produced via the photon fusion mechanism at ATLAS
• The Noncommutative Standard Model at O(theta^2)
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• Search for electromagnetic properties of the neutrinos at the LHC
• The ALFA Roman Pot Detectors of ATLAS
• Graviton production through photon-quark scattering at the LHC
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Cited by in corpus (1)

• The $\gamma b\overline{b}$ production via ${\gamma }^{\ast }{\gamma }^{\ast }$ collisions at the ILC and LHC