An isochronous lattice design for a 50 on 50 GeV muon collider

Using local chromatic correction techniques, a lattice for a 50 on 5-GeV muon collider has been developed which can serve as a broad-band (broad momentum acceptance) or a high-resolution (narrow momentum acceptance) Higgs factory. To reach design luminosities of 13(32) and 10(31)cm(-2)s(-1), a short bunch length, minimal ring circumference, and a beta* of 4 cm and 13 cm must be realized in the broad-band and high-resolution machines, respectively. In the broad-band machine, local chromatic correction of the Interaction Region is required to provide adequate momentum acceptance. However, local chromatic correction conflicts with demands for extreme compactness and isochronicity, making the lattice design challenging.