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\section{\ref{sec:VHE-LHC} Upgrade at higher energy : The VHE-LHC}  \label{sec:VHE-LHC}  Flash what is known about Precision measurements constitute only one facet of a sound high-energy-physics project for  the physics case : sensitivity future. They need  to be complemented with direct searches for  new phenomena up at an energy-frontier facility,  to scales of 10 TeV and more, expected possibly answer fundamental questions that will unavoidably arise from these  precision for the ttH and HHH couplings. measurements.