Randall-Sundrum model with a small curvature and dimuon production at the LHC

The $p_{\perp}$-distributions for the dimuon production at the LHC are calculated in the Randall-Sundrum scenario with a small curvature $\kappa$. The $pp$ collisions at 7 TeV and 14 TeV are considered. The widths of massive graviton excitations are taken into account. It is found that the LHC discovery limit on 5-dimensional gravity scale $M_5$ is equal to 5.5 TeV for $\sqrt{s} = 7$ TeV and integrated luminositiy 5 fb$^{-1}$. For $\sqrt{s} = 14$ TeV and integrated luminosities 30 fb$^{-1}$ and 100 fb$^{-1}$, the search limits in the dimuon events are 12.0 TeV and 14.6 TeV, respectively. Contrary to the standard RS model, these limits are independent of $\kappa$, provided $\kappa \ll M_5$.