τ →K_Sπ^-ν_τ and τ →K^-ην_τ decays: A combined analysis

The decay spectra of τ- →KSπ-ντ and τ →K-ηντ decays are studied in a combined analysis using a dispersive representation of the required vector and scalar form factors. The K K∗(1410) resonance parameters are extracted with improved precision as compared to previous studies, with the findings MK∗′ = 1304±17 MeV and ΓK∗′ = 171±62 MeV. Isospin violations in the form factor slopes are investigated as the K-π0 vector form factor enters the description of the decay τ- →K-ηντ. In this respect, the spectrum of the transition τ- →K-π0ντwould be extremely useful.