We investigate the possibility that baryogenesis occurs during the wea
k phase transition in a minimal extension of the Standard Model which
contains extra neutral leptons and conserves total lepton number. The
necessary CP-violating phases appear in the leptonic Yukawa couplings,
We compute the CP asymmetries in both the neutral and the charged lep
ton fluxes reflected in the unbroken phase. Using present experimental
bounds on the mixing angles and Standard Model estimates for the para
meters related to the scalar potential, we conclude that it seems unli
kely to produce the observed baryon to entropy ratio within this kind
of models. However, we comment on the possibility that the constraints
on the mixings might be naturally relaxed due to small finite tempera
ture effects. (C) 1997 Elsevier Science B.V.