Patrizia Azzi edited 13311371474904756.tex  over 10 years ago

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The path towards the choice of the most appropriate machine(s) to achieve this goal can be enlightened by the successes of past History. In the late 70's, precision measurements of neutral currents first led to the prediction of the existence of the W and Z bosons, as well as the values of their masses; the W and Z were then discovered in the early 80's at the CERN S${\rm p\bar p}$S with the predicted masses, and the CERN LEP measured the gauge sector properties with precision in the early 90's. Similarly, the precise measurements of the gauge sector led to the prediction of the top quark mass, later discovered at the FNAL Tevatron with the predicted mass. When complemented with the precise measurement of the W mass at the FNAL Tevatron in the past decade, these measurements led in turn to the prediction of the Higgs boson mass, recently discovered at the CERN LHC within the predicted mass range.   Similarly, any future facility should aim at precision measurements deemed adequate to predict the energy scale at which new physics takes place. The following strategy has to include yet another  facility that  would then aim at discovering this new physics directly with access to a  much larger centre-of-mass energies. It is now generally agreed that very accurate measurements of the Z, W, top and Higgs boson properties will allow the sensitivity to new physics to be extended to higher energy scale. Typically, a new energy scale of 1 TeV would translate into deviations $\delta g_{\rm HXX}$ of the Higgs boson couplings, $g_{\rm HXX}$, to gauge bosons and fermions of up to 5\% with respect to the standard model predictions~\cite{Gupta_Rzehak_Wells_2012,cite:ILCTDR}, and with a dependence inversely proportional to the square of the energy scale $\Lambda$: \begin{equation}  {\delta g_{\rm HXX} \over g_{\rm HXX}^{\rm SM}} \le 5\% \times \left({1 {\rm TeV} \over \Lambda}\right)^2  \end{equation}