Baryon asymmetry in a heavy moduli scenario

In some models of supersymmetry breaking, modulus fields are heavy enough to decay before big bang nucleosynthesis. But the large entropy produced via moduli decay significantly dilutes the preexisting baryon asymmetry of the Universe. We study whether the Affleck-Dine mechanism can provide enough baryon asymmetry which survives the dilution, and find several situations in which a desirable amount of baryon number remains after the dilution. The possibility of nonthermal dark matter is also discussed. This provides the realistic cosmological scenario with heavy moduli.