Beam Test with Positrons on Target for the Production of a Low Emittance Muon Beam

The use of muon beams in High Energy Physics experiments has become more and more interesting for different research branches, from rare decay searches to neutrino physics up to muon colliders feasibility studies. Thus the production of low emittance muon beams is a key issue: since with the traditional muon sources, like K/$\pi$ decays, this cannot be achieved if not with complex and still object-of-study techniques, a novel approach has been proposed, using electron-positron collisions at centre-of-mass energy just above the $\mu^+ \mu^-$ production threshold realized with a 45 GeV positron beam interacting with target. In order to verify the possibility to obtain ab initio a low emittance muon beam from positrons on target, a test beam at CERN has been proposed and recently completed, from 26th July 2017 to 2nd August 2017. This work, after a brief introduction on muon colliders and sources in Chapter 1, focuses on the test beam realization: Monte Carlo simulations will be discussed in Chapter 2, as well as the experimental setup choice in Chapter 3 and some of the first data analysis results in Chapter 4.