RS model with a small curvature and Drell-Yan process at the LHC

The $p_{\perp }$-distribution for a dilepton production at the LHC with high luminosity is calculated in the Randall-Sundrum scenario with a small curvature $\kappa$. The widths of massive gravitons are taken into account. The discovery limits on 5-dimensional gravity scale $M_5$ are obtained to be 17.8 TeV and 21.6 TeV for $\sqrt{s}=14$ TeV and integrated luminosities 1000 fb${}^{-1}$ and 3000 fb${}^{-1}$, respectively. Contrary to the standard RS model, these limits do not depend on parameter $\kappa$.