deletions | additions       diff --git a/Mixing angle.tex b/Mixing angle.tex  index f37dcbe..f7cc913 100644  --- a/Mixing angle.tex  +++ b/Mixing angle.tex 
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\subsubsection{The leptonic weak mixing angle}  Determinations of the weak mixing angle $\sintw$ are made from a variety of measurements, such as the leptonic and hadronic forward-backward asymmetries or the $\tau$ polarization in ${\rm Z} \to \tau\tau$ decays. These measurements will be performed with high statistics at the occasion of the line-shape scan without polarized beams.   \\  The single most precise measurement, however, comes from the inclusive left-right beam-polarization asymmetry $\ALR$. This quantity can be measured from the total cross-section asymmetry upon reversal of the polarization of the $\epem$ system. For the same level of polarization in collisions as that observed at LEP, and assuming that a fraction of the bunches can be selectively depolarized, a simultaneous measurement~\cite{Blondel:1987wr} of the beam polarization and of the left-right asymmetry $\ALR$ can be envisioned at TLEP. For one year of data taking with a luminosity of $10^{35}~\cms$, a precision on $\ALR$ of the order of $10^{-5}$ -- or a precision on $\sintw$ of the order of $10^{-6}$ -- is achievable. Other beam polarization asymmetries for selected final states, like for example $A_{\rm FB}^{\rm pol,f}$, would allow precise measurements of the Electroweak couplings, and become an interesting tool for flavour selection.\\  For the same level of polarization in collisions as that observed at LEP, and assuming that a fraction of the bunches can be selectively depolarized, a simultaneous measurement~\cite{Blondel:1987wr} of the beam polarization and of the left-right asymmetry $\ALR$ can be envisioned at TLEP. For one year of data taking with a luminosity of $10^{35}~\cms$, a precision on $\ALR$ of the order of $10^{-5}$ -- or a precision on $\sintw$ of the order of $10^{-6}$ -- is achievable. Other beam polarization asymmetries for selected final states, like for example $A_{\rm FB}^{\rm pol,f}$, would allow precise measurements of the Electroweak couplings, and become an interesting tool for flavour selection.\\   \textbf{\textit{A precision of $\boldsymbol{\it 10^{-6}}$ on $\boldsymbol{\it \sin^2\theta^{eff}_W}$ is a reasonable goal for the measurement of the leptonic weak mixing angle at TLEP.}}