[tau]^sup -^[arrow right]K^sup -^[eta]^sup (')^[nu]^sub [tau]^ decays in Chiral Perturbation Theory with resonances

(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) We have studied the [tau] ^sup -^ [arrow right] K ^sup -^ [eta] ^sup (')^ [nu] ^sub [tau]^ decays within Chiral Perturbation Theory including resonances as explicit degrees of freedom. We have considered three different form factors according to treatment of final-state interactions. In increasing degree of soundness: Breit-Wigner, exponential resummation and dispersive representation. We find that although the first one fails in accounting for the data on the K[eta] mode, the other two approaches provide good fits to them which are sensitive to the K ^sup ^ (1410) pole parameters, that are determined to be ... MeV and ... MeV. These values are competitive with the standard determination from [tau] ^sup -^ [arrow right] (K[pi])^sup -^ [nu] ^sub [tau]^ decays. The corresponding predictions for the [tau] ^sup -^ [arrow right] K ^sup -^ [eta] ^sup '^ [nu] ^sub [tau]^ channel respect the current upper bound and hint to the discovery of this decay mode in the near future.