Higgs measurements at muon collider

Muon collisions at multi-TeV center-of-mass energies are perfect for studying the Higgs-boson properties. The number of produced Higgs bosons will allow to measure its couplings to fermions and bosons with an unprecedented precision. At $\sqrt{s}$ of the order of or greater than 10 TeV and with an instantaneous luminosity of at least $10^{35}cm^{-2}s^{-1}$ the double (triple) Higgs-boson production rate will be sufficiently high to directly measure the parameters of trilinear (quadrilinear) self-couplings, enabling the precise determination of the Higgs boson potential. The studies presented here, performed with a full simulation of the detector and the beam-induced background, demonstrate that the use of novel detector technologies allows to keep the detector occupancy at a manageable level. By using a simple cut-based approach, the b-jet invariant mass is reconstructed to identify the Higgs-boson. A first conservative evaluation of its coupling sensitivity at $\sqrt{s}$ of 3 and 10 TeV will be presented using the detector performance evaluated at 1.5 TeV, demonstrating that high precision Higgs measurements are possible at muon collider.