Affleck-Dine Baryogenesis, Condensate Fragmentation and Gravitino Dark Matter in Gauge-Mediation with a Large Messenger Mass

Understand

We study the conditions for successful Affleck-Dine baryogenesis and the origin of gravitino dark matter in GMSB models.

• AD baryogenesis in GMSB models is ruled out by neutron star stability unless Q-balls are unstable and decay before nucleosynthesis.
• Unstable Q-balls can form if the messenger mass scale is larger than the flat-direction field Phi when the condensate fragments.
• We provide an example based on AD baryogenesis along a d = 6 flat direction for the case where m_{3/2} \approx 2 GeV, as predicted by gravitino dark matter from Q-ball decay.