Neutrino CP violating parameters from nontrivial quark-lepton correlation: a S3xGUT model

Abstract

We investigate the prediction on the lepton phases in theories with a non trivial correlation between quark (CKM) and lepton (PMNS) mixing matrices. We show that the actual evidence, under the only assumption that the correlation matrix $V^M$ product of $CKM$ and $PMNS$ has a zero in the entry $(1,3)$, gives us a prediction for the three CP-violating invariants $J$, $S_1$, and $S_2$. A better determination of the lepton mixing angles will give a strong prediction of the CP-violating invariants in the lepton sector. These will be tested in the next generation experiments. To clarify how our prediction works, we show how a model based on a Grand Unified Theory and the permutation flavor symmetry $S_3$ predicts $V_{13}^M=0$.

7 pages, 3 figures. V2: new figure added

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• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Neutrino mixing with broken $S_3$ symmetry
• Broken $S_3$ Symmetry in the Neutrino Mass Matrix
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• Non-Abelian discrete R symmetries
• SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation
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• Leptonic CP Violation Phases, Quark-Lepton Similarity and Seesaw Mechanism
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