  The muon collider represents one of the most promising solutions for a future
machine exploring the high energy frontier, but several challenges due to the
2.2 $\mu$sec muon lifetime at rest have to be carefully considered. The LEMMA
project is investigating the possibility of producing low emittance
muon/antimuon pairs from the e$^+$e$^-$ annihilation process at threshold
energy, resulting in small transverse emittance beams without any additional
beam cooling. However most of the measurements available are performed at
higher $\sqrt{s}$ values. It is therefore necessary to measure muons production
in positron annihilation at threshold energy and compare the experimental
results with the predictions in this specific energy regime. Apart from being a
topic of physical interest by itself, these near to threshold measurements can
have a sizeable impact on the estimation of the ultimate luminosity achievable
in a muon collider with the LEMMA injection scheme.
