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\section{\ref{sec:intro} Introduction}  \label{sec:intro}  The recently discovered Higgs boson with mass around 125 GeV/$c^2$ is measured so far by the CMS and ATLAS experiments to have properties compatible with the standard model predictions, as shown in Fig.~\ref{fig:ellis} from Ref.~\cite{cite:1303.3879}. Combined with the absence of any other discovery so far at the LHC, be it either through precision measurements or via direct searches, this fundamental observation seems to push the energy scale of any physics beyond the standard model above several hundreds GeV. The higher-energy run, expected to start in 2015 at 13-14 TeV, will extend the sensitivity to new physics to 1 TeV or more, thus paving the way to fundamental discoveries in this energy range by 2017-2018. Independently of the outcome of this higher-energy run, the existence of new phenomena, yet at an unknown scale, is a known fact: the observation of non-baryonic dark matter, the accelerating expansion of the universe, thestriking  baryon-antibaryon asymmetry, or the nonzero neutrino masses, are striking examples calling for physics beyond the standard model. New particle accelerators are thus necessary to understand its origin.