Lepton Flavor Mixing and CP Symmetry

Abstract

The strategy of constraining the lepton flavor mixing from remnant CP symmetry is investigated in a rather general way. The neutrino mass matrix generally admits four remnant CP transformations which can be derived from the measured lepton mixing matrix in the charged lepton diagonal basis. Conversely, the lepton mixing matrix can be reconstructed from the postulated remnant CP transformations. All mixing angles and CP violating phases can be completely determined by the full set of remnant CP transformations or three of them. When one or two remnant CP transformations are preserved, the resulting lepton mixing matrix would depend on three real parameters or one real parameter respectively in addition to the parameters characterizing the remnant CP, and the concrete form of the mixing matrix is presented. The phenomenological predictions for the mixing parameters are discussed. The conditions leading to vanishing or maximal Dirac CP violation are studied.

24 pages, 3 figures

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Cited by in corpus (8)

• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• $A_4$ and CP symmetry and a model with maximal CP violation
• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
• Lepton Mixing in $A_5$ Family Symmetry and Generalized CP
• Neutrino Mass and Mixing Models with Eclectic Flavor Symmetry $\Delta (27)⋊T^{\prime }$
• CP Symmetries as Guiding Posts: Revamping Tri-Bi-Maximal Mixing-I
• Dihedral flavor group as the key to understand quark and lepton flavor mixing
• The remnant CP transformation and its implications