A complete demonstrator of a muon cooled Higgs factory

The recent discovery of the Higgs particle of 125 GeV has revised the interest of the so-called Higgs factory, namely of a mu+mu- collider with adequately cooled intensity of about 6 10^12 muons of each sign, a repetition rate of 15-50 p/s and a luminosity of up to 10^32 cm-2 s-1. The process is the direct production of a H_0 scalar in the s-state. Its partial widths can be studied in clean conditions and with remarkable accuracy. The Ho mass itself can be measured to about +-100 keV (deltaE/E <10^-6) in the (WW) channel with the help of the decay frequency of the polarized mu->e nu nu decay electrons. The realization of a cascade of unconventional but very small rings of few meters radius is described, in order to achieve the required longitudinal and transverse emittances. Physics requirements and the many studies already undertaken suggest that the next step, prior to but adequate for a H_0 physics programme, could be the practical realization of a full scale muon cooling demonstrator. The correct operation of the demonstrator may be initially explored with the help of very low intensity muon beam already available in a number of different accelerators. The additional but relatively conventional components necessary to realize the facility with the appropriate luminosity should be constructed only after the success of this initial cooling experiment has been conclusively demonstrated. The ultimate mu+mu- collider for a Higgs Factory can be situated within the existing CERN or FNAL sites.