Resonant Structure of $\tau \to 3\pi {\pi }^0{\nu }_{\tau }$ and $\tau \to \omega \pi {\nu }_{\tau }$ Decays

Abstract

The resonant structure of the four pion final state in the decay $\tau \to 3\pi {\pi }^0{\nu }_{\tau }$ is analyzed using 4.27 million ${\tau }^{+}{\tau }^{-}$ pairs collected by the CLEO II experiment. We search for second class currents in the decay $\tau \to \omega \pi {\nu }_{\tau }$ using spin-parity analysis and establish an upper limit on the non-vector current contribution. The mass and width of the ${\rho }^{\prime }$ resonance are extracted from a fit to the $\tau \to \omega \pi {\nu }_{\tau }$ spectral function. A partial wave analysis of the resonant structure of the $\tau \to 3\pi {\pi }^0{\nu }_{\tau }$ decay is performed; the spectral decomposition of the four pion system is dominated by the $\omega \pi$ and $a_1\pi$ final states.

arXiv comment34 pages postscript, also available through http://w4.lns.cornell.edu/public/CLNS

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