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\section{High-energy upgrades}  \label{sec:VHE-LHC}  \subsection{Lepton Collider Upgrades \subsection{Lepton-collider upgrades  to $\sqrt{s} = 500$~GeV} Both the $\epem$ Higgs factories discussed in Section~\ref{sec:Higgs} have high-energy upgrade options. In the case of TLEP, one could increase its centre-of-mass energy to $\sqrt{s} = 500$~GeV by tripling the RF length from 600 to 1700~m, thereby increasing the total RF voltage from 12 to 35 GV as to compensate for the 31 GeV lost per turn by synchrotron radiation in the 100-km ring. In the case of the ILC, its length can be doubled as to reach a centre-of-mass energy of 500 GeV.