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We study the expected sensitivity to measure the branching ratio of Higgsboson decays to invisible particles at a future circular \epem collider(FCC-ee) in the process $e^+e^-\to HZ$ with $Z\to \ell^+\ell^-$ ($\ell=e$ or$\mu$) using an integrated luminosity of 3.5 ab$^{-1}$ at a center-of-massenergy $\sqrt{s}=240$ GeV. The impact of the energy spread of the FCC-ee beamand of the resolution in the reconstruction of the leptons is discussed. %Twodifferent detector concepts are considered: a detector corresponding to the CMSreconstruction performances and the expected design of the ILC detector. Theminimum branching ratio for a $5\sigma$ observation after 3.5ab$^{-1}$ of datataking is $1.7\pm 0.1\%(stat+syst) $. The branching ratio exclusion limit at95\% CL is $0.63 \pm 0.22\%((stat+syst))$.

european physical journal. c, particles and fields

Study the effect of beam energy spread and detector resolution on the  search for Higgs boson decays to invisible particles at a future e$^+$e$^-$  circular collider