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The details of the optimal strategy for the next large facility after the LHC can only be finalized once the results of the LHC run at 13 TeV are known, but an emerging consensus is building up around the following general lines. A first step in the strategy to look beyond the LHC findings would require a facility that would measure the Z, W, top-quark and Higgs-boson properties with sufficient accuracy to provide sensitivity to new physics at a much higher energy scale. The strategy would then include a second step that would aim at discovering this new physics directly, via access to a much larger centre-of-mass energy.   For example, a new energy scale of 1 TeV would translate typically into deviations $\delta g_{\rm HXX}$ of the Higgs boson couplings to gauge bosons and fermions, $g_{\rm HXX}$, of up to 5\% with respect to the standard model predictions~\cite{Gupta_Rzehak_Wells_2012,cite:ILCTDR}, predictions~\cite{Gupta_Rzehak_Wells_2012,ILC:Physics},  with a dependence that is inversely proportional to the square of the new energy scale $\Lambda$: \begin{equation}  \frac{\delta g_{\rm HXX}}{g_{\rm HXX}^{\rm SM}} \le 5\% \times \left(\frac{1 {\rm TeV}}{\Lambda}\right)^2.  \end{equation}