Search for a muon EDM using the frozen-spin technique

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This letter of intent proposes an experiment to search for an electric dipole moment of the muon based on the frozen-spin technique.

• We intend to exploit the high electric field, $E=1{\rm GV/m}$, experienced in the rest frame of the muon with a momentum of $p=125 {\rm MeV/}c$ when passing through a large magnetic field of $|\vec{B}|=3{\rm T}$.
• Current muon fluxes at the $\mu$E1 beam line permit an improved search with a sensitivity of $\sigma(d_\mu)\leq 6\times10^{-23}e{\rm cm}$, about three orders of magnitude more sensitivity than for the current upper limit of $|d_\mu|\leq1.8\times10^{-19}e{\rm cm}$\,(C.L.
• 95\%).