Patrick Janot edited HigherEnergyUpgrades.tex  over 10 years ago

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\subsubsection{The HHH coupling}  The measurement of the trilinear Higgs self-coupling $\lambda_{\rm H}$ substantially benefits from higher energy, because of the fast increase of the double-Higgs-boson production cross section, be it in $\epem$ or in proton-proton collisions. Studies exist, albeit with different levels of maturity, for the sensitivity of ILC~\cite{cite:ILCTDR}, CLIC~\cite{cite:CLICDR}, and HL-LHC~\cite{cite:ATLAS,cite:CMS} to these couplings. From the HL-LHC estimates and from the known HH production cross-section increase at higher energies~\cite{Mangano_Rojo_2012}, extrapolations for $3~\inab$ of pp collision data at HE-LHC ($\sqrt{s} =$ 33 TeV) and VHE-LHC ($\sqrt{s}=$ 100 TeV) can be inferred~\cite{Snowmass}. An executive summary is displayed in Fig.~\ref{fig:VHELHC}.