Probe of the Randall-Sundrum-like model with the small curvature via light-by-light scattering at the LHC

The LHC possibilities to constrain the parameters of the Randall-Sundrum-like model with one warped extra dimension and small curvature through the diphoton production in the photon-induced process $pp\to p\gamma \gamma p\to {p}^{\prime }\gamma \gamma {p}^{\prime }$ are investigated. The acceptance of the forward detectors $0.015<\xi <0.15$, where $\xi $ is the fractional proton momentum loss of the incident protons, is considered. The sensitivity bounds on the five-dimensional gravity scale are obtained as a function of the LHC integrated luminosity.