Determination of the Michel Parameters and the tau Neutrino Helicity in tau Decay

TL;DR

This paper measures the Michel parameters and tau neutrino helicity in tau decays using CLEO II data, confirming Standard Model predictions with high precision.

Contribution

First precise determination of Michel parameters and tau neutrino helicity in tau decays using a large data sample and specific decay topologies.

Findings

Measured Michel parameters $ ho$, $\xi$, $\xi ext{delta}$ with high precision.

Determined tau neutrino helicity $h_{ u_ au}$ close to -1.

Results agree with Standard Model V-A interaction.

Abstract

Using the CLEO II detector at the $e^+e^-$ storage ring CESR, we have determined the Michel parameters $\rho$, $\xi$, and $\delta$ in $\tau^\mp \to l^\mp\nu\bar{\nu}$ decay as well as the tau neutrino helicity parameter $h_{\nu_\tau}$ in $\tau^\mp \to \pi^\mp\pi^0\nu$ decay. From a data sample of $3.02\times 10^6$ tau pairs produced at $\sqrt{s}=10.6 GeV$, using events of the topology $e^+e^- \to \tau^+\tau^- \to (l^\pm\nu\bar{\nu}) (\pi^\mp\pi^0\nu)$ and $e^+e^- \to \tau^+\tau^- \to (\pi^\pm\pi^0\bar{\nu}) (\pi^\mp\pi^0\nu)$, and the determined sign of $h_{\nu_\tau}$, the combined result of the three samples is: $\rho = 0.747\pm 0.010\pm 0.006$, $\xi = 1.007\pm 0.040\pm 0.015$, $\xi\delta = 0.745\pm 0.026\pm 0.009$, and $h_{\nu_\tau} = -0.995\pm 0.010\pm 0.003$. The results are in agreement with the Standard Model V-A interaction.