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Beyond the measurement of $R_\ell$ at the Z pole, another interesting possibility for the $\alpha_{\rm s}$ determination is to use to use the W hadronic width as measured from W-pair events at and above 161 GeV. The quantity of interest is the branching ratio $B_{\rm had}= \Gamma_{\rm W \to hadrons}/\Gamma^tot_{\rm W}$, which can extract be extracted by measuring the fractions of WW events to the  fully leptonic, semi-leptonic and fully hadronic final states:   \begin{equation}  {\rm BR}({\rm WW} W^+W^-}  \to \ell^+ \nu \ell’^- \bar{\nu}) = (1-B_{\rm had})^2 \\ {\rm BR}({\rm WW} W^+W^-}  \to \ell^+ \nu {\rm q\bar{q}’}) = (1-B_{\rm had})\times B_{\rm had} \\ {\rm BR}({\rm WW} W^+W^-}  \to {\rm q\bar{q}' q’’\bar{q}’’’})= B_{\rm had}^2 \end{equation}  The LEP2 measurement of $B_h data taken at centre-of-mass energies ranging from 183 to 209 GeV led to $B_{\rm had}  = 67.41 \pm 0.27$ [10] 0.27$~\cite{1302.3415}, a measurement with a 0.4\% relative precision. This measurement that  was limited by WW event statistics of about $4 × 10^4$ events. With $10^8 over $2 \times 10^8  W$ pairs expected at TLEP at $\sqrt{s} =$ 161, 240  and assuming that selection efficiency uncertainties scale with statistics, 350~GeV,  it may therefore  be possible to reduce the relative  uncertainty on $B_h$ $B_{\rm had}$  by a factor $~ $\sim  70$ down to $5\times 10^{-5}$,  and thus the absolute uncertainty on $\alpha_s$ $\alpha_{\rm s}$  to $\pm 0.0002$. 0.00015$.  This measurement  is an interesting possibility especially since complementary that that performed with the Z hadronic width, because  the sensitivity to electroweak effects is completely different in $B_h$ than $B_{\rm had}$ and  in $R_\ell$. The In particular, the  coupling of the W to pairs of quarks and leptons is straightforwardly given by the CKM matrix elements with little sensitivity to any new particles. {\em A reasonable target for the measurement of $\alpha_s (m^2_{\rm W})$ with the runs at and above 161 GeV with TLEP is therefore a precision better than 0.0002.}