We investigate the production of Higgs bosons in neutral- and charged-current
interactions at a future Muon-Ion Collider (MuIC) with emphasis on H0→cc decay. In particular, we focus on the leading production
mechanisms and explore the impact of a range of Parton Distribution Function
(PDF) scenarios, with emphasis on the role of heavy intrinsic quark flavor. We
emphasize estimates of non-resonant di-charm background production and explore
the impact of this background on a possible future measurement of H0→cc at a future Muon-Ion Collider facility.Comment: 40 pages,38 figure