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

References in corpus (3)

• A model for fermion masses and lepton mixing in SO(10) x A4
• Quark-Lepton Complementarity in Unified Theories
• Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy

Cited by in corpus (1)

• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry