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The projections for HL-LHC in Scenario 2 are truly impressive, and will further improve by including a second detector (ATLAS projections are available in Ref.~\cite{1307.7292}) and more dedicated analyses in the combination. Within the mildly model-dependent assumptions used in the fit -- no exotic decays, and correlated up-type-quark couplings -- the quantitative added value of an ILC run at 250 and 350 GeV with baseline integrated luminosities to $3~\inab$ of HL-LHC data does not stick out in a striking manner for the Higgs boson coupling precisions. In contrast, TLEP would allow these couplings to be measured with sub-per-cent precision, well beyond the HL-LHC projected precisions, and deemed adequate to become sensitive to multi-TeV new physics.  It is to be mentioned, however, that energy upgrades to $\sqrt{s} = 500$ GeV, and possibly to $\sqrt{s} = 1$ TeV, with integrated luminosities of $500~\infb$ and $1~\inab$, respectively, are contemplated for the ILC. An energy upgrade of TLEP to $\sqrt{s} = 500$ GeV with similar luminosity is also envisioned. The interest oftaking  $\epem$ collision data at centre-of-mass energies above 350 GeV for Higgs boson physics is briefly discussed in Section~\ref{sec:VHE-LHC}.