We study the observability of the \tautau decay mode of a Higgs boson
produced in the s-channel at a muon collider. We find that the spin
correlations of the \tautau in τ→πντ,ρντ decays
are discriminative between the Higgs boson signal and the Standard Model
background. Observation of the predicted distinctive distribution can confirm
the spin-0 nature of the Higgs resonance. The relative coupling strength of the
Higgs boson to b and τ can also be experimentally determined.Comment: to appear in PL