NEUTRINO CP VIOLATING PARAMETERS FROM NONTRIVIAL QUARK–LEPTON CORRELATION: A S3 × GUT MODEL

Abstract

We investigate the prediction on the lepton phases in theories with a nontrivial correlation between quark (CKM) and lepton (PMNS) mixing matrices. We show that the actual evidence, under the only assumption that the correlation matrix VM product of CKM and PMNS has a zero in the entry (1, 3), gives us a prediction for the three CP-violating invariants J, S1 and S2. A better determination of the lepton mixing angles will give stronger prediction for 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 S3 predicts [Formula: see text].