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We present a systematic group space scan of discrete Abelian flavorsymmetries for lepton mass models that produce nearly tribimaximal leptonmixing. In our models, small neutrino masses are generated by the type-I seesawmechanism. The lepton mass matrices emerge from higher-dimension operators viathe Froggatt-Nielsen mechanism and are predicted as powers of a singleexpansion parameter \epsilon that is of the order of the Cabibbo angle\theta_C\simeq 0.2. We focus on solutions that can give close to tribimaximallepton mixing with a very small reactor angle \theta_{13}\approx 0 and findseveral thousand explicit such models that provide an excellent fit to currentneutrino data. The models are rather general in the sense that large leptonicmixings can come from the charged leptons and/or neutrinos. Moreover, in theneutrino sector, both left- and right-handed neutrinos can mix maximally. Wealso find a new relation \theta_{13}\lesssim\epsilon^3 for the reactor angleand a new sum rule \theta_{23}\approx\pi/4+\epsilon/\sqrt{2} for theatmospheric angle, allowing the models to be tested in future neutrinooscillation experiments.

Group space scan of flavor symmetries for nearly tribimaximal lepton mixing