Predicting Lepton Flavor Mixing from $\Delta (48)$ and Generalized CP Symmetries

Abstract

We propose to understand the mixing angles and CP-violating phases from the $\Delta (48)$ family symmetry combined with the generalized CP symmetry. A model-independent analysis is performed by scanning all the possible symmetry breaking chains. We find a new mixing pattern with only one free parameter, excellent agreement with the observed mixing angles can be achieved and all the CP-violating phases are predicted to take nontrivial values. This mixing pattern is testable in the near future neutrino oscillation and neutrinoless double-beta decay experiments. Finally, a flavor model is constructed to realize this mixing pattern.

5 pages, 2 figures, minor corrections, accepted for publication in Chin. Phys. C

References in corpus (6)

• Observation of electron-antineutrino disappearance at Daya Bay
• Global fit to three neutrino mixing: critical look at present precision
• The Flavor Group Delta(3n^2)
• Generalised CP and Trimaximal TM${}_1$ Lepton Mixing in $S_4$ Family Symmetry
• Lepton Mixing Parameters from $\Delta (48)$ Family Symmetry and Generalised CP
• Generalised Geometrical CP Violation in a $T^{\prime }$ Lepton Flavour Model

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