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Complementarity relation between
CP-violating phase and neutrino mixing reactor angle
It should be a basic physics cause for neutrino mixing
deviation from CP-conserving geometric bimaximal pattern -- that cause is
CP-violation. It is interesting that this idea can be partly quantified by a
simple complementarity relation between the two special angles in neutrino
mixing matrix – neutrino reactor Theta_13 angle and Dirac CP-phase angle
(denoted as (13) and CPph respectively):
CPph = (13) - pi/2.
Three main inferences: 1) at bimaximal neutrino
mixing approximation Theta_13 = 0, and the CP-phase is equal -90^o, 2) at
realistic experimental value of reactor angle Theta_13 = ~ (8 – 9)^o, and the
CP-phase is equal CPph = ~ (-82 – -81)^o that means small deviation from
bimaximal value, 3) neutrino CP-phase cannot be small, CPph pi/2,
because of the small experimental value of the reactor angle Theta_13
pi/2. All the three inferences seem important hints from the suggested simplest
phenomenological relation. Note, large negative value of the lepton CP-phase is indicated by some experimental studies -- T2K Collaboration reports at ICHEP2016 Chicago; F. Gapozzi, E. Lisi et al, arXiv:1601.07777.
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