Intrinsic Deviation from the Tri-bimaximal Neutrino Mixing in a Class of A_4 Flavor Models

Abstract

It is well known that the tri-bimaximal neutrino mixing pattern V_0 can be derived from a class of flavor models with the non-Abelian A_4 symmetry. We point out that small corrections to V_0, which are inherent in the A_4 models and arise from both the charged-lepton and neutrino sectors, have been omitted in the previous works. We show that such corrections may lead the 3 \times 3 neutrino mixing matrix V to a non-unitary deviation from V_0, but they cannot result in a nonzero value of θ_13 or any new CP-violating phases. Current experimental constraints on the unitarity of V allow us to constrain the model parameters to some extent.

11 pages, no figures; a reference added, accepted for publication in Phys. Lett. B

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• A Shift from Democratic to Tri-bimaximal Neutrino Mixing with Relatively Large theta_{13}
• Discrete flavor symmetry and minimal seesaw mechanism
• Finite quantum corrections to the tribimaximal neutrino mixing
• Non-vanishing $U_{e3}$ under $S_3$ symmetry
• Deviation from Tribimaximal mixing using $A_4$ flavour model with five extra scalars
• Flavored Leptogenesis and Neutrino Mass with $A_4$ Symmetry
• Revisiting the Quark-Lepton Complementarity and Triminimal Parametrization of Neutrino Mixing Matrix
• Nonzero ${\theta }_{13}$ in $SO(3)\to A_4$ lepton models
• Cascade Hierarchy in SUSY SU(5) GUT
• Cascade Textures and SUSY SO(10) GUT