Randall-Sundrum scenario with a small curvature and Drell-Yan process at the LHC

Abstract

The Randall-Sundrum-like scenario with the small curvature $\ensuremath{\kappa}$ (RSSC model) is studied in detail in comparison with the original RS1 model. In the framework of the RSSC model, the ${p}_{\ensuremath{\perp}}$ distributions for dilepton production at the LHC are calculated. Both dielectron and dimuon events are taken into account. The important feature of calculations is the account of the widths of massive graviton excitations. For the summary statistics taken at 7 TeV ($L=5\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$) and 8 TeV ($L=20\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$), the exclusion limit on the five-dimensional gravity scale ${M}_{5}$ is set to be 6.84 TeV at 95% C.L. For $\sqrt{s}=13\text{ }\text{ }\mathrm{TeV}$ and integrated luminosity $30\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$, the LHC search limit is found to be 10.16 TeV. These bounds on ${M}_{5}$ are independent of $\ensuremath{\kappa}$ (up to powerlike corrections), provided $\ensuremath{\kappa}\ensuremath{\ll}{M}_{5}$.