  Weakly interacting massive particles (WIMPs) may be indirectly detected by
observation of upward muons induced by energetic neutrinos from annihilation of
WIMPs that have accumulated in the Sun and/or Earth. Energetic muon neutrinos
come from the decays of $\tau$ leptons, $c$, $b$, and $t$ quarks, gauge bosons,
and Higgs bosons produced by WIMP annihilation. We provide analytic
expressions, suitable for computing the flux of upward muons, for the neutrino
energy spectra from decays of all these particles in the center of the Sun and
Earth. These analytic expressions should obviate the need for Monte Carlo
calculations of the upward-muon flux. We investigate the effects of
polarization of the gauge bosons on the neutrino spectra and find that they are
small. We also present simple expressions for the second moments of the
neutrino distributions which can be used to estimate the rates for observation
of neutrino-induced muons from WIMP annihilation.
