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We investigate contributions of Kaluza-Klein (KK) graviton in extra dimensionmodels to the process $pp \to p\gamma p \to p\gamma j X$, where a proton emitsa quasireal photon and is detected by using the very forward detectors plannedat the LHC. In addition to the $\gamma q$ initial state as in the Comptonscattering in the standard model, the $\gamma g$ scattering contributes throughthe $t$-channel exchange of KK gravitons. Taking account of pileupcontributions to the background and examining viable kinematical cuts,constraints on the parameter space of both the ADD (Arkani-Hamed, Dimopoulosand Dvali) model and the RS (Randall and Sundrum) model are studied. With 200fb$^{-1}$ data at a center-of-mass energy of 14 TeV, the expected lower boundon the cut-off scale for the ADD model is 6.3 TeV at 95% confidence level,while a lower limit of 2.0 (0.5) TeV is set on the mass of the first excitedgraviton with the coupling parameter $k/\overline{M}_{\rm Pl}=0.1$ (0.01) forthe RS model.

Search for Kaluza-Klein gravitons in extra dimension models via forward detectors at the LHC