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High-energy muon colliders combine cutting edge discovery potential with precision measurements. Because muons are point-like particles they can achieve comparable physics to protons at much lower centre-of-mass energies. Due to the muon’s high mass, synchrotron radiation production is suppressed compared to electrons. This makes a high energy muon collider an excellent candidate for discovery at the energy frontier. The International Muon Collider Collaboration (IMCC) is charged by CERN after the past 2020 ESPPU recommendation to deliver an assessment of the potential for a muon collider to be a future collider facility and to plan the required R&D to deliver such a facility. The IMCC is also supported by the EU MuCol design study project. The Particle Physics Project Prioritisation Panel has identified the muon collider as an important future possibility for the US particle physics community.
The UK community plays an important role in the Muon Collider development, with overall facility leadership and a leading role in the development of the crucial muon production facility including the Muon Cooling Demonstrator programme. In this workshop we will review the status of the UK's contributions. We will also have important discussion of the sustainability aspects of the Muon Collider.