Higgs Physics at Muon Collider

A multi-TeV Muon Collider produces a significant amount of Higgs bosons allowing precise measurements of its couplings to Standard Model fundamental particles. Moreover, Higgs boson pairs are produced with a relevant cross-section, allowing the determination of the second term of the Higgs potential by measuring the double Higgs production cross section and therefore the trilinear self-coupling term. This contribution aims to give an overview of the Higgs measurements accuracies expected for the initial stage of the Muon Collider at s=3TeV with an integrated luminosity of 1ab−1 and for the target center-of-mass energy at 10TeV with 10ab−1 integrated luminosity. The results are obtained using the full detector simulations which include both physical and machine backgrounds.