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Muon beams are customarily obtained via $K/\pi$ decays produced in protoninteraction on target. In this paper we investigate the possibility to producelow emittance muon beams from electron-positron collisions at centre-of-massenergy just above the $\mu^{+}\mu^{-}$ production threshold with maximal beamenergy asymmetry, corresponding to a positron beam of about 45 GeV interactingon electrons on target. We present the main features of this scheme with anoutline of the possible applications.

Novel proposal for a low emittace muon beam using positron beam on target