Strategy to measure the Higgs mass, width and invisible decays at ILC

This document is meant to provide semi-quantitative arguments to evaluate the luminosity needed at ILC to achieve a precise measurement of the Higgs mass, width and invisible decays. It is shown that for mH=120 GeV, one can save an order of magnitude on the luminosity needed to achieve a given precision on the Higgs mass, as compared to what can be obtained at \sqrt s=350 GeV, by running near threshold. Since the recoil mass resolution near threshold is independent of the Higgs mass, one can also access the Higgs width for masses above 170 GeV. This strategy of running just above threshold is also optimal to measure or set upper limits on the Higgs invisible branching ratio. Two MSSM scenarios are presented to illustrate the potential interest of an optimized recoil mass resolution. A simplified description of the various experimental mechanisms affecting this type of measurement is presented: detector resolution for leptons and jets, luminosity and beamstrahlung energy dependence, initial and final radiation of the involved leptons.