\label{fig:FitResults}  Relative statistical uncertainty on the Higgs boson couplings from a truly model-independent fit, as expected from two five-year-long running periods at $\sqrt{s} = $ 240-250 and 350 GeV for TLEP and ILC. The red and blue bars correspond to the combination of the data at 240-250 GeV and 350 GeV, while the green bars hold for the sole period of TLEP at 240 GeV. The dashed lines show the $\pm 1\%$ band, relevant for sensitivity to multi-TeV new physics. Also indicated are the expected uncertainties on the total decay width and on the invisible decay width. The H$\mu\mu$ and H$\gamma\gamma$ coupling uncertainties, which do not fit in the $\pm 6\%$ scale of the figure for ILC, can be read off Table~\ref{tab:FitResults}.