  We explore the allowed ranges of cross sections for the elastic scattering of
neutralinos \chi on nucleons in the constrained minimal supersymmetric
extension of the Standard Model (CMSSM), in which scalar and gaugino masses are
each assumed to be universal at some input grand unification scale. We extend
previous calculations to larger \tan \beta and investigate the limits imposed
by the recent LEP lower limit on the mass of the Higgs boson and by b \to s
\gamma, and those suggested by g_\mu - 2. The Higgs limit and b \to s \gamma
provide upper limits on the cross section, particularly at small and large \tan
\beta, respectively, and the value of g_\mu - 2 suggests a lower limit on the
cross section for \mu > 0. The spin-independent nucleon cross section is
restricted to the range 6 \times 10^{-8} pb > \sigma_{SI} > 2 \times 10^{-10}
pb for \mu > 0, and the spin-dependent nucleon cross section to the range
10^{-5} pb > \sigma_{SD} > 2 \times 10^{-7} pb. Lower values are allowed if \mu
<0.
