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In this paper, potential of the LHC to explore the phenomenology of the Randall-Sundrum-like scenario with the small curvature for the process $pp \to p \gamma \gamma p \to p \mu^- \mu^+p \gamma \gamma \to \mu^- \mu^+0.0015 < \xi< 0.50.1< \xi <0.5$. 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 confidence level for various LHC integrated luminosity values.

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