Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
By S. King. 2005
245 citations recorded by the source corpus.
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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/617400359c8b774d3c331ac68b65382bd17da2f0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
Citations in the corpus
- A(4) family symmetry and quark-lepton unification (2006, unknown): “In particular, the constrained sequential dominance is realized and tri-bimaximal neutrino mixing results, with calculable deviations expressed in terms of neutrino sum rules [31, 41].”
- Neutrino mass and mixing with discrete symmetry (2013, background): “CSD2 Constrained sequential dominance 2, proposed in [116], assumes two flavon fields in the neutrino sector.”