Updated reach of CERN LHC and constraints from relic density, b→sγ and a_μ in the mSUGRA model

We present an updated assessment of the reach of the CERN LHC pp collider for supersymmetric matter in the context of the minimal supergravity (mSUGRA) model. In addition to previously examined channels, we also include signals with an isolated photon or with a leptonically decaying Z boson. For an integrated luminosity of 100 fb⁻¹, values of m_1/2 ∼ 1400 GeV can be probed for small m₀, corresponding to a gluino mass of m ∼ 3 TeV. For large m₀, in the hyperbolic branch/focus point region, m_1/2 ∼ 700 GeV can be probed, corresponding to m ∼ 1800 GeV. We also map out parameter space regions preferred by the measured values of the dark matter relic density, the b→sγ decay rate, and the muon anomalous magnetic moment a_μ, and discuss how SUSY might reveal itself in these regions. We find the CERN LHC can probe the entire stau co-annihilation region and also most of the heavy Higgs annihilation funnel allowed by WMAP data, except for some range of large m₀ and m_1/2 if tan β≳50.