Study of Higgs couplings measurements at muon collider

Muon collisions at multi-TeV center-of-mass energies are ideal for studying Higgs boson properties. At these energies the production rates will allow precise measurements of its couplings to fermions and bosons. In addition, the double (triple) Higgs boson production rate could be sufficiently high to directly measure the parameters of trilinear (quadrilinear) self-couplings, enabling the precise determination of the Higgs potential. In this contribution a study of μ+μ - → Hνν and μ+μ - → HHνν processes, where the Higgs boson decays in bb, is presented based on the detector full simulation with an evaluation of the beam-induced background.