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A generic feature of gauge-mediated supersymmetry breaking models is that thegravitino is the lightest supersymmetric particle (LSP). In order not tooverclose the universe, the gravitino LSP should be light enough (~ 1 keV), orappropriately heavy (~ 1 GeV). We study further constraints on the mass of thegravitino imposed by electroweak experiments, i.e., muon g-2 measurements,electroweak precision measurements, and direct searches for supersymmetricparticles at LEP2. We find that the heavy gravitino is strongly disfavored fromthe lower mass bound on the next-to-LSP. The sufficiently light gravitino, onthe other hand, has rather sizable allowed regions in the model parameterspace.Comment: 11 pages, 8 figures, version to appear in PR

Cosmological gravitino problem confronts electroweak physics