Patrick Janot edited Gobal Higgs fit .tex  over 10 years ago

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The accuracies on the Higgs boson couplings are obtained here from a fit to all observables reported in Tables~\ref{tab:HiggsBranching} and~\ref{tab:WWFusion} for TLEP and ILC at $\sqrt{s}=$ 240-250 and 350 GeV. In a first attempt, the fit closely followed the logic presented in Ref.~\cite{cite:1207.2516} in order to reproduce the results for the ILC at 250 GeV. As large differences were observed in this first attempt with respect to Ref.~\cite{cite:1207.2516}, it was quickly realized that the ILC numbers presented therein are actually a combined fit of the LHC and the ILC projections. The results of this combined fit could indeed be reproduced faithfully, which in turn gives strong confidence in the claims made in this note for the coupling precisions expected at TLEP.  The results of standalone fits (without combination with LHC sensitivities), however, are better suited to compare the LHC, ILC and TLEP relative merits in terms of Higgs boson coupling and width measurements. Other two assumptions made in Ref.~\cite{cite:1207.2516} consists {\it (i)} in bounding from above the couplings to the Z and the W to the standard model couplings; and {\it (ii)} in saturating the exotic decay width by the sole invisible Higgs boson decays. While reasonable, these assumptions introduce some model dependency which are not called for when it comes to measures the Higgs boson properties in a truly model-independent manner. These two assumptions were therefore removed from the fit, the result results  of which are presented in the first three columns of Table~\ref{tab:FitResults} and in Fig.~\ref{fig:FitResults}. For completeness, and for direct comparison with Ref.~\cite{cite:1207.2516}, the results of the fit with these two assumptions in are also given in the last two columns of the same Table. table.  \begin{table}  \begin{center}