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.

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