Supersymmetric dark matter at the LHC 7-TeV run

We have analyzed the early LHC signatures of the minimal supergravity (mSUGRA) model. Our emphasis is on the 7-TeV run corresponding to an integrated luminosity of similar to 1.0 fb(-1) although we have also discussed briefly the prospects at LHC-10 TeV. We focus on the parameter space yielding relatively light squark and gluinos consistent with the dark matter relic density data and the LEP bounds on the lightest Higgs scalar mass. This parameter space is only allowed for nonvanishing trilinear soft breaking term A(0). A significant region of the parameter space with large to moderate negative values of A(0) consistent with the stability of the scalar potential and relic density production via neutralino annihilation and/or neutralino-stau coannihilation yields observable signal via the jets + missing transverse energy channel. The one lepton + jets + missing energy signal is also viable over a smaller but nontrivial parameter space. The ratio of the size of the two signals-free from theoretical uncertainties-may distinguish between different relic density generating mechanisms. With efficient tau-tagging facilities at 7 TeV, the discriminating power may increase significantly. We also comment on other dark matter relic density allowed mSUGRA scenarios and variants thereof in the context of LHC-7 TeV.