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.
Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman",serif;}