Power and complementarity of the experimental constraints on seesaw models

We demonstrate the impact that present lepton flavor and CP violation data\char22{}neutrino oscillations, baryon asymmetry of the universe, flavor violations in charged lepton decays and lepton electric dipole moments\char22{}have on supersymmetric seesaw theories by analyzing the class of models based on a $U(1)$ flavor symmetry. The fermion $U(1)$ charges are determined to a large extent by the data, the flavor patterns being naturally defined through their choice. The selected models generically predict $\ensuremath{\mu}\ensuremath{\rightarrow}e\ensuremath{\gamma}$ within the reach of the projected experiments, which could be sensitive enough to exclude the whole class of them. By now, the present sensitivity to $\ensuremath{\mu}\ensuremath{\rightarrow}e\ensuremath{\gamma}$ already provides stringent bounds on the contribution of the seesaw couplings to the lepton electric dipole moments.