Viable supersymmetry and leptogenesis with anomaly mediation

The seesaw mechanism that explains the small neutrino masses comes naturally with supersymmetric (SUSY) grand-unification and leptogenesis. However, the framework suffers from the SUSY flavor and CP problems, and has a severe cosmological gravitino problem. We propose anomaly mediation as a simple solution to all these problems, which is viable once supplemented by the $D$-terms for $U(1{)}_Y$ and $U(1{)}_{B-L}$. Even though the right-handed neutrino mass explicitly breaks $U(1{)}_{B-L}$ and hence reintroduces the flavor problem, we show that it lacks the logarithmic enhancement and poses no threat to the framework. The thermal leptogenesis is then made easily consistent with the gravitino constraint.