Rμe = μ− + A(Z,N) → e− + A(Z,N)/μ− + A(Z,N) → νμ− + A(Z−1,N) of ≤ 6 × 10−17The Mu2e Experiment at Fermilab will search for coherent, neutrino-less conversion of negative muons into electrons in the field of an Aluminum nucleus, μ− + Al → e− +Al. Data collection start is planned for the end of 2021. The dynamics of such charged lepton flavour violating (CLFV) process is well modelled by a two-body decay, resulting in a mono-energetic electron with an energy slightly below the muon rest mass. If no events are observed in three years of running, Mu2e will set an upper limit on the ratio between the conversion and the capture rates Rμe = μ− + A(Z,N) → e− + A(Z,N)/μ− + A(Z,N) → νμ− + A(Z−1,N) of ≤ 6 × 10−17 (@ 90% C.L.). This will improve the cu...