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We propose the development and construction of a novel muon-ion collider(MuIC) at Brookhaven National Laboratory (BNL) in the USA as an upgrade tosucceed the electron-ion collider (EIC) that is scheduled to commence in theearly 2030s, by a joint effort of the nuclear and particle physics communities.The BNL facility could accommodate a muon storage beam with an energy up toabout 1~TeV with existing magnet technology. When collided with a 275~GeVhadron beam, the MuIC center-of-mass energy of about 1~TeV will extend thekinematic coverage of deep inelastic scattering physics at the EIC (withpolarized beams) by more than an order of magnitude in $Q^2$ and $x$, opening anew QCD frontier to address many fundamental scientific questions in nuclearand particle physics. This coverage is comparable to that of the proposed LargeHadron-Electron Collider (LHeC) at CERN, but with complementary lepton andhadron kinematics and beam polarization. Additionally, the developmentof a MuICat BNL will focus the worldwide R\&D efforts on muon collider technology andserve as a demonstrator toward a future muon-antimuon collider at {$\mathcalO$}(10)~TeV energies, which is an attractive option to reach the next highenergy frontier in particle physics at an affordable cost and a smallerfootprint than a future circular hadron collider. We discuss here the possibledesign parameters of the MuIC, kinematic coverage, science cases, and detectordesign considerations including estimates of resolutions on DIS kinematicvariables. A possible road map toward the future MuIC and muon-antimuoncolliders is also presented.

A Muon-Ion Collider at BNL: the future QCD frontier and path to a new energy frontier of $\mu^+\mu^-$ colliders