Abstract
A method is proposed for the determination of the Lorentz structure of the electroweak interaction in semi-hadronic τ decays. Spin correlations in the process $$e^ + e^ - \to \tau ^ + \tau ^ - \to \bar v_\tau \pi ^ + \pi ^0 v_\tau \pi ^ - \pi ^0 $$ are exploited for a measurement of the normalized product, γAV = 2Re{gAgV*}/(|gV|2 + |gV|2), of the vector (gV) and axial vector (gA) coupling of the τ lepton. The contribution of scalar (gS) or pseudo-scalar (gP) couplings is also investigated. Since in the above process the direction of flight of the τ leptons can be reconstructed up to a twofold ambiguity a likelihood method using the whole kinematic information can be employed. The matrix element entering the likelihood function has been evaluated in terms of the momenta and angles of the observed pions. The sensitivity of the derived method in ane+e− energy region around 10 GeV has been investigated for the ARGUS experiment using Monte Carlo simulations.
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