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We compute the muon to electron conversion in the type-I seesaw model, as afunction of the right-handed neutrino mixings and masses. The results arecompared with previous computations in the literature. We determine thedefinite predictions resulting for the ratios between the muon to electronconversion rate for a given nucleus and the rate of two other processes whichalso involve a mu-e flavour transition: mu -> e gamma and mu -> eee. For aquasi-degenerate mass spectrum of right-handed neutrino masses -which is themost natural scenario leading to observable rates- those ratios depend only onthe seesaw mass scale, offering a quite interesting testing ground. In the caseof sterile neutrinos heavier than the electroweak scale, these ratios vanishtypically for a mass scale of order a few TeV. Furthermore, the analysisperformed here is also valid down to very light masses. It turns out thatplanned mu -> e conversion experiments would be sensitive to masses as low as 2MeV. Taking into account other experimental constraints, we show that future mu-> e conversion experiments will be fully relevant to detect or constrainsterile neutrino scenarios in the 2 GeV-1000 TeV mass range.

Muon conversion to electron in nuclei in type-I seesaw models