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Patrick Janot edited Z mass and width.tex
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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 target
goal 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 MeV
and 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 target
goal for the Z width precision at TLEP}.