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Patrick Janot edited The_above_results_is_obtained__.tex
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The above results is obtained under the assumption that the gauge-invariance-violating form factor ($F_{1A}^\gamma$) and the CP-violating form factors ($F_{2A}^{\gamma,Z}$) vanish, to allow for a one-to-one and straightforward comparison with Ref.~\cite{Baer_2013}. From an experimental point-of-view, however, there is no reason why these form factors could not be extracted from the measurements of the lepton angular and energy distributions. The study is therefore extended, with $2.4\,{\rm fb}^{-1}$ at $\sqrt{s} = 365\,GeV$, to the following two configurations by relaxing the constraints on $F_{1A}^\gamma$, $F_{2A}^\gamma$ and $F_{2A}^Z$: either the four form factors $F_{1V,A}^X$ are varied simultaneously while the four $F_{2V,A}^X$ are fixed to their standard model values, or vice-versa.
In the first configuration, it turns out that relaxing the constraint on $F^\gamma_{1A}$ does not sizeably change the precision on the other three $F^X_{1V,A}$ form factors, as shown in Table~\ref{tab:f1}.
A per-cent accuracy is obtained on $F^\gamma_{1A}$.
\begin{table}
\begin{center}
\caption{\label{tab:f1} Precision on
$F_{1V,A}^X$ the four form factors $F_{1V,A}^X$, expected at the FCC-ee
with $2.4\,{\rm fb}^{-1}$ at $\sqrt{s} = 365\,GeV$, if $F_{1A}^\gamma$ is fixed to its standard model value (first row) or not (second raw).}
\begin{tabular}{|l|l|l|l|l|}
\hline Precision on & $F_{1V}^\gamma$ & $F_{1V}^Z$ & $F_{1A}^\gamma$ & $F_{1A}^Z$ \\
\hline\hline Only three $F_{1V,A}^X$ & $1.2\, 10^{-3}$ & $2.9\, 10^{-3}$ & $0.0\, 10^{-3}$ & $2.4\, 10^{-2}$ \\