  We study the possibility that the baryon asymmetry of the universe is
generated in a minimal seesaw scenario where two right-handed Majorana
neutrinos with degenerate masses are added to the standard model particle
content. In the usual framework of thermal leptogenesis, a nonzero $CP$
asymmetry can be obtained through the mass splitting induced by the running of
the heavy Majorana neutrino masses from their degeneracy scale down to the
seesaw scale. Although, in the light of the present neutrino oscillation data,
the produced baryon asymmetry turns out to be smaller than the experimental
value, the present mechanism could be viable in simple extensions of the
standard model.
