A partial μ-τ symmetry and its prediction for leptonic CP violation

We find that the lepton flavor mixing matrix Ushould possess a partial mu-tau permutation symmetry vertical bar U-mu 1 vertical bar =vertical bar U-tau 1 vertical bar, and the latter predicts a novel correlation between the Dirac CP-violating phase delta and three flavor mixing angles theta(12), theta(13) and theta(23) in the standard parametrization. Inputting the best-fit values of these angles reported by Capozzi et al., we obtain the prediction delta similar or equal to 255 degrees. in the normal neutrino mass ordering, which is in good agreement with the best-fit result delta similar or equal to 250 degrees. In this connection the inverted neutrino mass ordering is slightly disfavored. If this partial mu-tau symmetry is specified to be vertical bar U-mu 1 vertical bar = vertical bar U-tau 1 vertical bar = 1/root 6, one can reproduce the phenomenologically-favored relation sin(2)theta(12) = (1 - 2 tan(2)theta(13))/3 and a viable two-parameter description of U which were first uncovered in 2006. Moreover, we point out that the octant of theta(23) and the quadrant of delta can be resolved due to the slight violation of vertical bar U-mu 2 vertical bar = vertical bar U-tau 2 vertical bar and vertical bar U-mu 3 vertical bar = vertical bar U-tau 3 vertical bar either at the tree level or from radiative corrections. (C) 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license.