Studies of τ^{-}→ηK^{-}ν_{τ} and τ^{-}→ηπ^{-}ν_{τ} at BABAR and a search for a second-class current Studies of τ − → ηK − ν τ and τ − → ηπ − ν τ at BABAR and a search for a second-class current P. del Amo Sanchez, J. P. Lees, V. Poireau, E. Prencipe, and V. Tisserand We report on analyses of tau lepton decays τ − → ηK − ντ and τ − → ηπ − ντ , with η → π + π − π 0 , using 470 fb −1 of data from the BABAR experiment at PEP-II, collected at center-of-mass energies at and near the Υ (4S) resonance. We measure the branching fraction for the τ − → ηK − ντ decay mode, B(τ − → ηK − ντ ) = (1.42 ± 0.11(stat) ± 0.07(syst)) × 10 −4 , and report a 95% confidence level upper limit for the second-class current process τ − → ηπ − ντ , B(τ − → ηπ − ντ ) < 9.9 × 10 −5 .