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This White Paper brings together our previous studies on a Muon Collider (MC)and presents a design concept of the 6 TeV MC optics, the superconducting (SC)magnets, and a preliminary analysis of the protection system to reduce magnetradiation loads as well as particle backgrounds in the detector. The SC magnetsand detector protection considerations impose strict limitations on the latticechoice, hence the design of the collider optics, magnets and Machine DetectorInterface (MDI) are closely intertwined. As a first approximation we use theInteraction Region (IR) design with beta-star=3 mm, whereas for the arcs were-scale the arc cell design of the 3 TeV MC. Traditional cos-theta coilgeometry and Nb3Sn superconductor were used to provide field maps for theanalysis and optimization of the arc lattice and IR design, as well as forstudies of beam dynamics and magnet protection against radiation. The stressmanagement in the coil will be needed to avoid large degradation or even damageof the brittle SC coils. In the assumed IR designs, the dipoles close to theInteraction Point (IP) and tungsten masks in each IR (to protect magnets) helpreducing background particle fluxes in the detector by a substantial factor.The tungsten nozzles in the 6 to 600 cm region from the IP, assisted by thedetector solenoid field, trap most of the decay electrons created close to theIP as well as most of the incoherent electron-positron pairs generated in theIP. With sophisticated tungsten, iron, concrete and borated polyethyleneshielding in the MDI region, the total reduction of background loads by morethan three orders of magnitude can be achieved.

Critical problems of energy frontier Muon Colliders: optics, magnets and radiation