The direct s-channel coupling to Higgs bosons is 40000 times greater for muons than electrons; the coupling goes as mass squared. High precision scanning of the lighter h0 and the higher mass H0 and A0 is thus possible with a muon collider. The H0 and A0 are expected to be nearly mass degenerate and to be CP even and odd, respectively. A muon collider could resolve the mass degeneracy and make CP measurements. The origin of CP violation in the K0 and B0 meson systems might lie in the the H0/A0 Higgs bosons. If large extra dimensions exist, black holes with lifetimes of ~ 10-26 seconds could be created and observed via Hawking radiation at the LHC. Unlike proton or electron colliders, muon colliders can produce black hole systems of known mass. This opens the possibilities of measuring quantum remnants, gravitons as missing energy, and scanning production turn on. Proton colliders are hampered by parton distributions and CLIC by beamstrahlung. The ILC lacks the energy reach.
Search for large extra dimensions in the exclusive photon + missing energy channel in p$\bar{p}$ collisions
