Description
This study investigates the physics reach in the Higgs sector of muon-antimuon collisions at a center-of-mass energy of 10 TeV. The statistical sensitivity of the production cross sections for $H\to b\bar{b}$, $H\to WW^{\ast}$, and $HH\to b\bar{b}b\bar{b}$, as well as the measurement of the Higgs boson trilinear self-coupling, is evaluated using a detailed detector simulation that includes the dominant contributions of the machine-induced background. The studies utilize MUSIC, a detector concept specifically designed and optimized for the muon collision environment at 10 TeV, and assume a dataset of 10 ab$^{-1}$ collected over a five-years period by a single experiment. The results highlight the exceptional potential of a high-energy muon collider for exploring the Higgs sector, in particular for determining the Higgs potential. A multi-TeV muon collider offers a level of precision that cannot be achieved by any other proposed future collider within a comparable time frame.
