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 $\kappa$.
Categories: hep-ph hep-ex
