A prediction of neutrino mixing matrix with CP violating phase

Abstract

The latest experimental progress have established three kinds of neutrino oscillations with three mixing angles measured to rather high precision. There is still one parameter, i.e., the CP violating phase, missing in the neutrino mixing matrix. It is shown that a replay between different parametrizations of the mixing matrix can determine the full neutrino mixing matrix together with the CP violating phase. From the maximal CP violation observed in the original Kobayashi-Maskawa (KM) scheme of quark mixing matrix, we make an Ansatz of maximal CP violation in the neutrino mixing matrix. This leads to the prediction of all nine elements of the neutrino mixing matrix and also a remarkable prediction of the CP violating phase ${\delta }_{\mathrm{CK}}=(85.48_{-1.80(-4.90)}^{+4.67(+12.87)}{)}^{\circ }$ within $1\sigma (3\sigma )$ range from available experimental information. We also predict the three angles of the unitarity triangle corresponding to the quark sector for confronting with the CP-violation related measurements.

arXiv comment9 pages. Version accepted for publication in PLB, with methods for CP-violating phase measurements discussed

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• 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
• S3 as a flavour symmetry for quarks and leptons after the Daya Bay result on θ13
• Quark-lepton complementarity and self-complementarity in different schemes
• $T_7$ flavor symmetry scheme for understanding neutrino mass and mixing in 3-3-1 model with neutral leptons
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• Maximal CP-Violation in Neutrino Mass Matrix in light of the latest Daya Bay result on ${\theta }_{13}$
• Radiative corrections to the leptonic Dirac CP-violating phase
• New mixing pattern for neutrinos
• Lepton Flavor Mixing Pattern and Neutrino Mass Matrix after the Daya Bay Experiment
• CP violating Tri-bimaximal-Cabibbo mixing
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• Simple parametrization of neutrino mixing matrix