Pseudoscalar Mass Effects in Decays of Taus with Three Pseudoscalar Mesons

Abstract

We study the effects of non-vanishing pseudoscalar masses in $\tau$ decays into three mesons. The hadronic matrix elements are obtained by using the generalized structure of the chiral currents with nonvanishing pseudoscalar masses and implementing the low-lying resonances in the different channels. We demonstrate that suitable angular distributions are sensitive to the mass effects in the chiral Langrangian. Numerical results for the rele\-% vant structure functions are given for the decay modes $\tau \to \nu {\pi }^{-}{\pi }^{-}{\pi }^{+}$, $\nu K^{-}{\pi }^{-}{\pi }^{+}$ and $\nu K^{-}{\pi }^{-}{K}^{+}$.

Comments: 14 pages, 7 figures (not included, available as *.PS files on request), Latex, Universitaet Karlsruhe preprint TTP93-28