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

TL;DR

This paper analyzes dimuon production at the LHC within the Randall-Sundrum model with small curvature, determining discovery limits for the 5D gravity scale based on different collision energies and luminosities.

Contribution

It provides new predictions for LHC discovery limits on the 5D gravity scale in a small-curvature Randall-Sundrum scenario, considering graviton widths and independence from curvature parameter.

Findings

Discovery limit at 7 TeV is 5.5 TeV for 5 fb$^{-1}$.

At 14 TeV, limits are 12.0 TeV and 14.6 TeV for 30 and 100 fb$^{-1}$.

Limits are independent of $ ext{kappa}$ when it is much smaller than $M_5$.

Abstract

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 $\kappa \ll M_5$.