10 TeV Center of Mass Energy Muon Collider

A Muon collider can provide unique opportunities in high-energy physics as an energy frontier machine. However, a number of challenges have to be addressed during the design process primarily due to the short lifetime of muons. In this work, a lattice for a 10TeV center-of-mass energy collider is presented. Some of the more important challenges faced are: the design of an interaction region with $β^{*}$ values of the order of a few millimeters and an adequate chromatic compensation without sacrificing the physical and dynamic aperture, the flexibility to control the momentum compaction factor and the radiation generated where neutrinos from muons decays reach the surface. These issues are addressed with the development of a new chromatic correction scheme, the extensive use of flexible momentum compaction factor cells and the efficient control of the optical parameters.