Patrick Janot edited Z mass and width.tex  over 10 years ago

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\subsubsection{The Z mass and width}  The Z mass was determined at LEP from the line-shape line shape  scan to be $91187.5 \pm 2.1$ MeV/$c^2$. The statistical error was of  1.2 MeV; it MeV/$c^2$  would be reduced  below 10 keV 5 keV/$c^2$  at TLEP. The systematic error uncertainty  was dominated by the error related pertaining  to the beam energy calibration (1.7 MeV). MeV/$c^2$).  As seen in the previous section, Section~\ref{sec:exp},  a continuous measurement with resonant depolarization of single bunches  should allow a reduction of this uncertainty  to well  below 100 keV. Other errors include the theoretical uncertainties in the calculation of initial state radiation ( $\le 100 keV$), ($\le 100$ keV/$c^2$), in the  production of additional lepton pairs ( $\le 300 keV$) ($\le 300$ keV/$c^2$),  and in the theoretical line shape line-shape  parametrization ( $\le 100 keV$). ($\le 100$ keV/$c^2$).  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 An overall uncertainty of  100 keV keV/$c^2$ or better  is an therefore a  reasonable targetgoal  for the Z mass precision at TLEP}. The Z width was also determined from the line shape scan at LEP  to be $2495.2 \pm 2.3$ MeV/$c^2$. MeV.  The statistical error was of  2 MeVand  would be again reduced  less that 10 KeV keV  at TLEP. The systematic uncertainty from the LEP energy calibration was 1.2 MeV, clearly dominated by the reproducibility issues. Again issues of the beam energy calibration. Again,  this should uncertainty is expected  be reduced to below 100 keV at TLEP. The theory systematics systematic uncertainties  on $\Gamma_Z$ $\Gamma_{\rm Z}$  were estimated at the level of( $\le  200 keV$) keV  and should be revisited. \\ revisited.\\  {\em We consider that An overall uncertainty of  100 keV or better  is a reasonable targetgoal  for the Z width precision at TLEP}.