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Charge lepton flavor violating processes (CLFV) are yet to be observed.
Their expected SM rates are so low that any experimental indication of
a CLFV process could be a signature of a new physics.
Using stopped muons for CLFV searches opens a way to extend the sensitivity
to new physics up to the scale of 10
4 TeV, beyond the reach of
current high energy colliders. Several experiments aiming to search for
flavor violating mu --> e transitions are currently in preparation.
I will review physics goals and the current status of one of such experiments,
the Mu2e experiment at Fermilab. Mu2e will search for the coherent mu --> e
conversion on nuclei with the sensitivity of 4 orders of magnitude better
than presently achieved.