Hubble induced radiative corrections and Affleck-Dine baryogenesis

We examine the viability of the Affleck-Dine mechanism for baryogenesis under radiatively induced running of soft breaking (mass)2 of the flat directions stemming from a nonzero energy density of the inflaton during inflation. A major difference from analogous phenomenological studies is that the horizon radius provides a natural infrared cutoff to the quantum corrections in this case. We identify different scenarios which may arise and point out that the HuL flat direction remains the most promising flat direction, since it is largely independent of uncertainties about high scale physics and details of the inflationary model.