Implications for minimal supersymmetry from grand unification and the neutralino relic abundance

Abstract

We examine various predictions of the minimal supersymmetric standard model coupled to minimal supergravity. The previously considered predictions of the model are now extended to include the bottom quark mass and the neutralino relic density which in turn provide stringent bounds on the scale parameters. We find a remarkable consistency among several different constraints only in the region of low-energy supersymmetry, thus avoiding the use of the fine tuning criterion. We find all supersymmetric particle masses preferably within the reach of future supercolliders (LHC and SSC). The requirement that the neutralino be the dominant component of (dark) matter in the flat Universe provides a lower bound on the spectrum of supersymmetric particles beyond the reach of LEP, and most likely also the Tevatron and LEP 200.