Patrick Janot edited HHHContd.tex  over 10 years ago

Commit id: 162fff01859c6c4e7f68d2df2707ebdd14d43be0

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An observation of the standard-model value of the trilinear Higgs self-coupling with a significance of 5$\sigma$ or above can only be done at HE-LHC (33~TeV), CLIC (3~TeV) or VHE-LHC (100~TeV), with projected precisions of 15\%, 10 to 16\%, and 5\%, respectively. It would take a factor three more luminosity for the ILC to reach a precision similar to CLIC. Such an ambitious luminosity upgrade has been brought forward in Ref.~\cite{Snowmass}, immediately after the appearance of the ILC TDR. As it could only happen after a first run at $\sqrt{s} = 1$~TeV with baseline luminosity, this upgrade cannotto  take place before 2045-2050 in the most optimistic assumptions, i.e., in parallel with the start of the VHE-LHC. Since deviations in the HHH coupling arising from new physics effects is expected to be smaller than $\pm 20\%$ with respect to the standard model prediction~\cite{cite:1305.6397}, such new physics effects can only be probed at the VHE-LHC. It is worth mentioning that the ILC luminosity upgrade, for which a cost estimate is not available, could also be exploited for another five-years run at $\sqrt{s}=$ 500 GeV and yet another five-years run at $\sqrt{s}=$ 250 GeV with luminosities three and five times larger than the baseline programme~\cite{Snowmass}. After the full 30-years programme of this upgraded ILC, the precision on the Higgs boson couplings to light fermions and to gauge bosons would still be a factor two worse than the precisions expected at TLEP, after only 10 years and for a much smaller cost, with $\sqrt{s} =$ 250 and 350~GeV.