Prospects for precision Higgs boson measurements at a 10 TeV muon collider
A 10 TeV muon collider offers a powerful environment for precision studies of the Higgs sector through its large vector-boson-fusion production rates. This review presents projected sensitivities to single- and double-Higgs production cross sections, the Higgs boson mass, and the trilinear Higgs self-coupling. The projections are obtained from detailed simulations of the MUSIC detector, including machine-induced background, for a baseline configuration of two experiments, each collecting an integrated luminosity of 10 $\mathrm{ab}^{-1}$. The $H\to b\bar{b}$ and $H\to WW^\ast$ production cross sections can be measured with statistical precisions of 0.18% and 0.35%, respectively, while precisions of 2.6%, 4.2%, and 6.9% are expected for $H\toγγ$, $H\to ZZ^\ast$, and $H\toμ^+μ^-$. Combining the $H\to b\bar{b}$, $H\toγγ$, and $H\toμ^+μ^-$ channels yields an expected Higgs boson mass precision of about 19 MeV. Double-Higgs production can be measured with statistical precisions of 4.2% in the $HH\to b\bar{b}b\bar{b}$ channel and 14% in the $HH\to b\bar{b}WW^\ast$ channel. Using the $HH\to b\bar{b}b\bar{b}$ channel, the trilinear Higgs self-coupling can be determined with an expected precision of about 5%. These results demonstrate the potential of a high-energy muon collider for precision Higgs physics.