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\subsubsection{The weak mixing angle}  Determinations of the weak mixing angle $\sin^2\vartheta_W^{eff}$ are made from a variety of measurements, such as the leptonic and hadronic forward-backward asymmetries and the $\tau$ polarization. The single most precise measurement comes from the inclusive left-right beam polarization asymmetry $A_{LR}$, since this quantity can be measured from the total cross-section asymmetry upon reversal of the polarization of the $\epem$ system. Assuming the same level of polarization in collisions at TLEP than what was observed at LEP, and that a fraction of the bunches can be selectively depolarized to ensure longitudinal polarization of the $\epem$ system, a simultaneous measurement~\cite{Blondel:1987wr} of the beam polarization and of the left-right asymmetry $A_{LR}$ can be envisaged. For one year of data taking a precision on $A_{LR}$ of the order of $10^{-5}$ – or a precision on $\sin^2\theta_W^{eff}$ of the order of $10^{-6}$ would be achieved. Other beam polarization asymmetries for selected final states, $A_{FB}^{pol,f}$, will allow precise measurements of the electroweak couplings as well as being an interesting tool for flavour selection.   \\  {\em A precision of $10^{-6}$ on $\sin^2\theta_W^{eff}$ is a reasonable goal for the measurement of the leptonic weak mixing angle at TLEP}