We suggest a minimal extension of the simplest $A_4$ flavor model that can induce a nonzero ${\theta }_{13}$ value, as required by recent neutrino oscillation data from reactors and accelerators. The predicted correlation between the atmospheric mixing angle ${\theta }_{23}$ and the magnitude of ${\theta }_{13}$ leads to an allowed region substantially smaller than indicated by neutrino-oscillation global fits. Moreover, the scheme correlates $CP$ violation in neutrino oscillations with the octant of the atmospheric mixing parameter ${\theta }_{23}$ in such a way that, for example, maximal mixing necessarily violates $CP$. We briefly comment on other phenomenological features of the model.

• Received 6 June 2013

DOI:https://doi.org/10.1103/PhysRevD.88.016003