deletions | additions       diff --git a/Mixing angle.tex b/Mixing angle.tex  index e8367fb..aebd880 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 and or  the $\tau$ polarization. polarization in ${\rm Z} \to \tau\tau$ decays.  The single most precise measurement measurement, however,  comes from the inclusive left-right beam polarization beam-polarization  asymmetry $A_{LR}$, since this $\ALR$. This  quantity can be measured from the total cross-section asymmetry upon reversal of the polarization of the $\epem$ system. Assuming For  the same level of polarization in collisions at TLEP than what was as that  observed at LEP, and assuming  that a fraction of the bunches can be selectively depolarized to ensure longitudinal polarization of the $\epem$ system, depolarized,  a simultaneous measurement~\cite{Blondel:1987wr} of the beam polarization and of the left-right asymmetry $A_{LR}$ $\ALR$  can be envisaged. envisioned at TLEP.  For one year of data taking with a luminosity of $10^{35}\cms$,  a precision on $A_{LR}$ $\ALR$  of the order of $10^{-5}$ – --  or a precision on $\sin^2\theta_W^{eff}$ $\sintw$  of the order of $10^{-6}$ would be achieved. -- is achievable.  Other beam polarization asymmetries for selected final states, $A_{FB}^{pol,f}$, will $A_{\rm FB}^{\rm pol,f}$, would  allow precise measurements of the electroweak couplings as well as being couplings, and be  an interesting tool for flavour selection.   \\ selection.\\  {\em A precision of $10^{-6}$ on $\sin^2\theta_W^{eff}$ $\sintw$  is a reasonable goal for the measurement of the leptonic weak mixing angle at TLEP} TLEP.}