  The search for a permanent electric dipole moment (EDM) of the muon is an
excellent probe for physics beyond the Standard Model of particle physics. We
propose the first dedicated muon EDM search employing the frozen-spin technique
at the Paul Scherrer Institute (PSI), Switzerland, with a sensitivity of $6
\times 10^{-23}~e\!\cdot\!\mathrm{cm}$, improving the current best limit set by
the E821 experiment at Brookhaven National Laboratory by more than three orders
of magnitude. In preparation for a high precision experiment to measure the
muon EDM, several R&D studies have been performed at PSI: the characterisation
of a possible beamline to host the experiment for the muon beam injection study
and the measurement of the multiple Coulomb scattering of positrons in
potential detector materials at low momenta for the positron tracking scheme
development. This paper discusses experimental concepts and the current status
of the muEDM experiment at PSI.
