Constraints on the minimal supergravity model from cosmology, false vacua and rare decays

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Supersymmetry (SUSY) represents a theoretically attractive candidate for physics beyond the Standard Model (SM). One of the major motivations of SUSY is that it solves the Higgs mass naturalness problem. Experiments have yet to verify or exclude weak scale SUSY but indirect constraints impose strong limitations on the SUSY parameter space. Working within the framework of minimal supergravity with gauge coupling unification and radiative electroweak symmetry breaking (SUGRA), we examine constraints from the neutralino relic density, false minima in the scalar potential and the b /to s/gamma decay. The neutralino relic density calculation is handled numerically with special attention to integration over Breit-Wigner poles and relativistic thermal averaging. We require absence of any color or charge breaking minima in the one-loop scalar potential and discuss stability of this constraint in the given approximation. To reduce scale dependence of the b /to s/gamma branching ratio, we employ a QCD improved calculational method. Allowed regions of the SUGRA parameter space are based on comparison with the latest CLEO results. In all cases, we map out favored regions in the parameter space and consider implications for LEP2, Tevatron and LHC experiments.

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