The polarimeter vector for $τ\rightarrow 3 πν_τ$ decays
The polarimeter vector of the $τ$ represents an optimal observable for the measurement of the $τ$ spin. In this paper we present an algorithm for the computation of the $τ$ polarimeter vector for the decay channels $τ^{-} \rightarrow π^{-}π^{+}π^{-}ν_τ$ and $τ^{-} \rightarrow π^{-}π^{0}π^{0}ν_τ$. The algorithm is based on a model for the hadronic current in these decay channels, which was fitted to data recorded by the CLEO experiment.