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A low-energy Muon Collider (MC) offers unique opportunities to study therecently found Higgs boson. However, due to a relatively large beam emittancewith moderate cooling in this machine, large-aperture high- fieldsuperconducting (SC) magnets are required. The magnets need also an adequatemargin to operate at a large radiation load from the muon decay showers.General specifications of the SC dipoles and quadrupoles for the 125 GeV c.o.m.Higgs Factory with an average luminosity of ~2x10**31 cm-2s-1 are formulated.Magnet conceptual designs and parameters are reported. The impact of the magnetfringe fields on the beam dynamics as well as the IR and lattice magnetprotection from radiation are also reported and discussed.

Storage Ring And Interaction Region Magnets For A {\mu}+{\mu}- Higgs Factory