LHC discovery potential for supersymmetry with s=7 TeV and 5–30 fb−1

We extend our earlier results delineating the supersymmetry reach of the CERN Large Hadron Collider operating at a center-of-mass energy $\sqrt{s}=7\text{ }\text{ }\mathrm{TeV}$ to integrated luminosities in the range $5--30\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$. Our results are presented within the paradigm minimal supergravity model or constrained minimal supersymmetric standard model. Using a six-dimensional grid of cuts for the optimization of signal to background ratio---including missing ${E}_{T}$---we find for ${m}_{\stackrel{\texttildelow{}}{g}}\ensuremath{\sim}{m}_{\stackrel{\texttildelow{}}{q}}$ an LHC $5\ensuremath{\sigma}$ supersymmetry discovery reach of ${m}_{\stackrel{\texttildelow{}}{g}}\ensuremath{\sim}1.3$, 1.4, 1.5, and 1.6 TeV for 5, 10, 20, and $30\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$, respectively. For ${m}_{\stackrel{\texttildelow{}}{q}}\ensuremath{\gg}{m}_{\stackrel{\texttildelow{}}{g}}$, the corresponding reach is instead ${m}_{\stackrel{\texttildelow{}}{g}}\ensuremath{\sim}0.8$, 0.9, 1.0, and 1.05 TeV, for the same integrated luminosities.