$A_4$ and CP symmetry and a model with maximal CP violation

Abstract

We study a second CP symmetry compatible with the $A_4$ flavor group, which interchanges the representations $1^{\prime }$ and $1"$. We analyze the lepton mixing patterns arising from the $A_4$ and CP symmetry broken to residual subgroups $Z_3$ and $Z_2\times CP$ in the charged lepton and neutrino sectors respectively. One phenomenologically viable mixing pattern is found, and it predicts maximal atmospheric mixing angle as well as maximal Dirac CP phase, trivial Majorana phase and the correlation ${\sin }^2{\theta }_{12}{\cos }^2{\theta }_{13}=1/3$. We construct a concrete model based on the $A_4$ and CP symmetry, the above interesting mixing pattern is achieved, the observed charged lepton mass hierarchy is reproduced, and the reactor mixing angle ${\theta }_{13}$ is of the correct order.

22 pages, 1 figure

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Cited by in corpus (5)

• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
• Cobimaximal Neutrino Mixing from $S_3\times Z_2$
• Cobimaximal Neutrino Mixing from $A_4$ and its Possible Deviation
• Dihedral flavor group as the key to understand quark and lepton flavor mixing
• A Radiative Model of Quark Masses with Binary Tetrahedral Symmetry