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This note is organized as follows. The main characteristics of the TLEP collider relevant for the physics case are summarized in Section~\ref{sec:exp}. In Sections~\ref{sec:Higgs} and~\ref{sec:EWSB}, an overview of the TLEP potential towards precise measurements of the Higgs boson properties and of the EWSB parameters is presented. Possible energy upgrades, which include an a possible  increase of the TLEP centre-of-mass energy to 500 GeV, and the replacement of TLEP by a 100 TeV pp collider, VHE-LHC, are briefly alluded to in Section~\ref{sec:VHE-LHC}. A comparison with the potential of the HL-LHC and of linear collider projects (ILC, CLIC) is made throughout. This note represents the current understanding of the Physics potential of TLEP, and a very first look at that of VHE-LHC. A five-years design study -- supported by the recent European Strategy update, and part of the CERN medium-term plan~\cite{cite:MTP} for 2014-2018 -- has been launched to refine this understanding, as well as to ascertain the feasibility of the collider(s), for an informed decision to be taken at the next European Strategy update in 2018.