deletions | additions       diff --git a/Measurements at the Z pole.tex b/Measurements at the Z pole.tex  index bf87297..7890516 100644  --- a/Measurements at the Z pole.tex  +++ b/Measurements at the Z pole.tex 
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With a continuous luminosity of $5\times 10^{35} \cms$ per IP at a centre-of-mass of 90 GeV, TLEP is a Z-factory able to deliver $7\times 10^{11}$ visible Z decays for one year of running, with very clean experimental conditions, centre-of-mass energy known to a fraction of MeV and the possibility of longitudinally polarized beams. This allows the following experiments to be carried out.   \begin{itemize}  \item   A precise line-shape  scan of the Z resonance allowing precise determination of the Z mass and width; \item  High statistics data collection at the Z peak;  \item  
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\end{itemize}  An extensive description of Electroweak measurements performed at LEP and SLC in 1988-1998 can be found in~\cite{ements_on_the_Z_resonance_2006}. It is beyond the scope of this article to revisit all the measurements to establish the improvements brought about by TLEP, and we limit ourselves to a few key measurements. The typical improvement in statistics over the LEP experiments being a factor $10^5$ (a factor 300 reduction in statistical errors!) it is clear that a detailed consideration of systematic errors will be essential before a precise conclusion will be drawn on the achievable precisions. In addition, uncertainties in the theoretical interpretation will need to be revisited, this implying a significant new program of calculations of higher order Electroweak corrections.   The Z mass was determined at LEP from the line-shape scan to be $91187.5 \pm 2.1$ MeV/$c^2$. The statistical error was 1.2 MeV; it would be below 10 keV at TLEP. The systematic error was dominated by the error related to the beam energy calibration (1.7 MeV). As seen in the previous section, a continuous measurement should allow a reduction to below 100 keV. Other errors include the theoretical uncertainties in the calculation of initial state radiation ( $\le 300 keV$)  and in the theoretical line shape parametrization ( $\le 100 keV$). It is clear that revisiting the QED corrections will be a high priority item when embarking in a new program of precision measurements at TLEP. \\   }\em We consider that 100 keV is a reasonable target goal for the Z mass precision at TLEP}.     The Z  width was also determined from the line shape scan to be $2495.2 \pm 2.3$ MeV/$c^2$. The statistical error was 2 MeV and would be again less that 10 KeV at TLEP. The systematic uncertainty from the LEP energy calibration was 1.2 MeV, clearly dominated by the reproducibility issues. Again this should be reduced to below 100 keV at TLEP.