King, S.F.
(2005)
Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification.
*Journal of High Energy Physics*, 8, 105-129.
(doi:10.1088/1126-6708/2005/08/105).

## Abstract

We show how the neutrino mixing angles and oscillation phase can be predicted from tri-bimaximal neutrino mixing, corrected by charged lepton mixing angles which are related to quark mixing angles via quark-lepton unification. The tri-bimaximal neutrino mixing can naturally originate from the see-saw mechanism via constrained sequential dominance (CSD), where CSD can result from the vacuum alignment of a non-abelian family symmetry such as SO(3). We construct a realistic model of quark and lepton masses and mixings based on SO(3) family symmetry with quark-lepton unification based on the Pati-Salam gauge group. The atmospheric angle is predicted to be approximately maximal ?23 = 45°, corrected by the quark mixing angle ?23CKM 2.4°, with the correction controlled by an undetermined phase in the quark sector. The solar angle is predicted by the tri-bimaximal complementarity relation: ?12+(1/21/2)(?C/3)cos (?-?) 35.26°, where ?C is the Cabibbo angle and ? is the neutrino oscillation phase. The reactor angle is predicted to be ?13 (1/21/2)(?C/3) 3.06°. The MNS neutrino oscillation phase ? is predicted in terms of the solar angle to be cos (?-?) (35.26°-?12°)/3.06°. These predictions can all be tested by future high precision neutrino oscillation experiments, thereby probing the nature of high energy quark-lepton unification.

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