  Experimental activities involving multi-TeV muon collisions are a relatively
recent endeavor. The community has limited experience in designing detectors
for lepton interactions at center-of-mass energies of 10 TeV and beyond. This
review provides a short overview of the machine characteristics and outlines
potential sources of beam-induced background that could impact the detector
performance. The strategy for mitigating the effects of beam-induced background
on the detector at $\sqrt{s}=3$ TeV is discussed, focusing on the
machine-detector interface, detector design, and the implementation of
reconstruction algorithms. The physics potential at this center-of-mass energy
is evaluated using a detailed detector simulation that incorporates the effects
of beam-induced background. This evaluation concerns the Higgs boson couplings
and the Higgs field potential sensitivity, that then are used to get confidence
on the expectations at 10 TeV. The physics and detector requirements for an
experiment at $\sqrt{s}=10$ TeV, outlined here, form the foundation for the
initial detector concept at that center-of-mass energy .
