The Decay of Tau Leptons Produced in Neutrino-Nucleon Scatterings

Abstract

Energy and angular distributions of the tau decay products in the CERN-to-Gran Sasso $\hat{I}{½}_{\ddot{I}}„$ appearance experiments are studied for the decay modes $\ddot{I}„\to \ddot{I}€\hat{I}½$ and $\ddot{I}„\to l\bar{\hat{I}}½\hat{I}½$ (l=e or mu). We find that the decay particle distributions in the laboratory frame are significantly affected by the tau polarization. Rather strong azimuthal asymmetry of $p{i}^{-}$ and $l^{-}$ about the tau momentum axis is predicted, which may have observable consequences even at small statistics experiments.

14 pages, 6 eps figures; comments on Fig. 1 added, Fig. 4 improved to see clearly