Measuring the Wess-Zumino anomaly in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>τ</mml:mi></mml:math>decays

Abstract

We propose to measure the Wess-Zumino anomaly contribution by considering angular distributions in the decays $\ensuremath{\tau}\ensuremath{\rightarrow}{\ensuremath{\nu}}_{\ensuremath{\tau}}\ensuremath{\eta}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$, $\ensuremath{\tau}\ensuremath{\rightarrow}{\ensuremath{\nu}}_{\ensuremath{\tau}}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{\ensuremath{-}}{K}^{+}$, and $\ensuremath{\tau}\ensuremath{\rightarrow}{\ensuremath{\nu}}_{\ensuremath{\tau}}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$. Radial excitations of the ${K}^{*}$, which cannot be seen in ${e}^{+}+{e}^{\ensuremath{-}}$, should be observed in the ${K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ decay channel.