  We discuss the lower limit on the mass of the neutralino $\chi$ that can be
obtained by combining data from $e^+e^-$ annihilation at LEP and elsewhere with
astrophysical and theoretical considerations. Loopholes in the purely
experimental analysis of ALEPH data from the Z peak and LEP 1.5, which appear
when $\mu<0$ for certain values of the sneutrino mass $m_{\tilde\nu}$ and the
ratio $\tan\beta$ of supersymmetric Higgs vacuum expectation values, may be
largely or totally excluded by data from lower-energy $e^+e^-$ data, the
hypothesis that most of the cosmological dark matter consists of $\chi$
particles, and the assumption that electroweak symmetry breaking is triggered
by radiative corrections due to a heavy top quark. The combination of these
inputs imposes $m_{\chi} \ge 21.4~\gev$, if soft supersymmetry-breaking masses
are assumed to be universal at the grand-unification scale.
