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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 for example in Fig.~\ref{fig:ellis}, taken 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 $\sqrt{s} \sim 13$-$14$ TeV, will extend the sensitivity to new physics to 1 TeV or more. Fundamental discoveries may therefore be made in this energy range by 2017-2018. Independently of the outcome of this higher-energy run, however, the existence of new phenomena, yet at an unknown scale, is a known fact: the existence of evidence for  non-baryonic dark matter, matter and  the accelerating expansion of the universe, universe from cosmological measurements,  the 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 their origin.