Three prong τ decays with charged kaons in the final state

Recent results from the CLEO experiment on 3-prong τ decays containing a charged kaon are reported. From a direct search for τ^- → h^-ν_τ ( h^- = π^- or K^-) we find model-dependent upper limits on the branching fractions in the range: B( τ^- → π^-ν_τ) < (1.2 - 2.0) × 10 ^-4 and B( τ^- → K^-ν_τ) < (5.4 - 6.7) × 10 ^-5 at 90% confidence level. We also report the preliminary results B( τ^- → K^-h⁺π^-ν)/B( τ^- → π^-π⁺π^-ν) = (4.66 ± 0.29 ± 0.81)% and B( τ^- → K^-h⁺π^-ν)/B( τ^- → h^-h⁺h^-ν) = (4.45 ± 0.29 ± 0.81)%.