Discovery potential of the next-to-minimal supergravity-motivated model

Applying a likelihood analysis to the next-to-minimal supergravity-motivated model, we identify parameter space regions preferred by present experimental limits from collider, astrophysical, and low energy measurements. We then show that favored regions are amenable to detection by a combination of the CERN Large Hadron Collider and an upgraded Cryogenic Dark Matter Search, provided that the more than three sigma discrepancy in the difference of the experimental and the standard theoretical values of the anomalous magnetic moment of the muon prevails in the future.