Tensor interactions and $\tau$ decays

Abstract

We study the effects of charged tensor weak currents on the strangeness-changing decays of the $\tau$ lepton. First, we use the available information on the $K_{e3}^{+}$ form factors to obtain BR$({\tau }^{-}\to K^{-}{\pi }^0{\nu }_{\tau })\sim \mathcal{O}(10^{-4})$ when the $K\pi$ system is produced in an antisymmetric tensor configuration. Then, we propose a mechanism for the direct production of the $K_2^{\ast }(1430)$ in $\tau$ decays. Using the current upper limit on this decay we set a bound on the symmetric tensor interactions.

13 pages, Latex