LEP AND RADIATIVE ELECTROWEAK BREAKING CLOSE TO THE LIGHT GLUINO WINDOW

We show that the LEP lower bound on the chargino mass, in conjunction with the well motivated theoretical requirement of radiative electrowe ak symmetry breaking, imply an upper bound on the lightest Higgs boson mass (m(h) less than or similar 62 GeV) in a supersymmetry breaking s cenario where the gluino mass is a few GeV. Moreover, Higgs searches a t LEP in the context of this model require m(h) greater than or simila r 61 GeV. The remaining experimentally allowed region in the five-dime nsional parameter space of this light gluino model is severely fine-tu ned (with tan beta = 1.88-1.89 and m(t) = 114.0-114.3 GeV) and cosmolo gically troublesome (with a neutralino relic abundance over five-hundr ed times larger than allowed). Modest improvements in sensitivity in L EP Higgs searches and Tevatron top-quark searches should soon exclude this theoretically disfavored model completely.