Capability of LHC to discover supersymmetry with √s=7 TeV and 1 fb-1

We examine the capability of the CERN Large Hadron Collider to discovery supersymmetry (SUSY) with energy root s = 7 TeV and integrated luminosity of about 1 fb(-1). Our results are presented within the paradigm minimal supergravity model (mSUGRA or CMSSM). Using a 6-dimensional grid of cuts for optimization of signal to background including missing E-T - we find for m((g) over tilde) similar to m((g) over tilde) an LHC reach of m((g) over tilde) similar to 800, 950, 1100 and 1200 GeV for 0.1, 0.3, 1 and 2 fb(-1), respectively. For m((g) over tilde) << m((g) over tilde), the reach is instead near m((g) over tilde) similar to 480, 540, 620 and 700GeV, for the same integrated luminosities. We also examine the LHC reach in the case of very low integrated luminosity where missing E-T may not be viable. We focus on the multi-muon, multi-lepton (including electrons) and dijet signals. Although the LHC reach without E-T(miss) is considerably lower in these cases, it is still substantial: for 0.3 fb(-1), the dijet reach in terms of gluino mass is up to 600GeV for very low m(0), while the dilepton reach is to gluino masses of similar to 500GeV over a range of m(0) values.