Resonant structure ofτ→3ππ0ντandτ→ωπντdecays

The resonant structure of the four pion final state in the decay $\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\tau}}3\ensuremath{\pi}{\ensuremath{\pi}}^{0}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ has been analyzed using 4.27 million ${\ensuremath{\tau}}^{+}{\ensuremath{\tau}}^{\ensuremath{-}}$ pairs collected by the CLEO II experiment at the Cornell Electron Storage Ring. A partial wave analysis of the resonant structure of the $\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\tau}}3\ensuremath{\pi}{\ensuremath{\pi}}^{0}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ decay has been performed; the spectral decomposition of the four pion system is dominated by the $\ensuremath{\omega}\ensuremath{\pi}$ and ${a}_{1}\ensuremath{\pi}$ final states. The mass and width of the ${\ensuremath{\rho}}^{\ensuremath{'}}$ resonance have been extracted from a fit to the $\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\tau}}\ensuremath{\omega}\ensuremath{\pi}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ spectral function. We have searched for second class currents in the decay $\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\tau}}\ensuremath{\omega}\ensuremath{\pi}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ using spin-parity analysis and established an upper limit on the non-vector current contribution.