Search for the RS model with a small curvature through photon-induced process at the LHC

In this paper, potential of the LHC to explore the phenomenology of the Randall–Sundrum-like scenario with the small curvature for the process $pp\to p\gamma \gamma p\to p{\mu }^{-}{\mu }^{+}p$ through the subprocess $\gamma \gamma \to {\mu }^{-}{\mu }^{+}$ is examined for two forward detector acceptances, $0.0015<\xi <0.5$ and $0.1<\xi <0.5$ . This process is known to be one of the most clean channels. The sensitivity bounds on the anomalous model parameters have been found at the $95%$ confidence level for various LHC integrated luminosity values.