Search for noncommutative interactions in γγ→γγ process at the LHC

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 γγ→γγ 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) TeV can be probed in the pp→ p(γγ )p → p'(γγ )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.