  A multi-TeV muon collider proves to be very efficient not only for the search
for new heavy neutral particles, but also for the discovery of charged bosons
of the $W^\prime$ type. We find that, by analyzing the associated production
with a Standard Model W, charged resonances can be probed directly up to
multi-TeV mass values close to the collision energy, and for very small
couplings with the SM fermions, of the order of $10^{-3}-10^{-4}$ times the SM
weak coupling. Additionally, charged bound states of WIMP Minimal Dark Matter,
specifically a Majorana fermionic 5-plet, can be discovered with low statistics
by running above the kinematic threshold, at a center-of-mass energy just
slightly above the mass of the MDM bound state. This opens up a very
interesting possibility for the discovery of WIMPs, complementary to the search
for the resonant production of the neutral MDM bound state component, which
relies on an on-peak search. For 5-plet MDM, indeed, the proposed search
strategy is more efficient than the WIMP searches based on mono-X, missing-mass
and disappearing tracks signatures.
