The Golden Ratio Prediction for the Solar Angle from a Natural Model with A5 Flavour Symmetry

Details The Golden Ratio Prediction for the Solar Angle from a Natural Model with A5 Flavour Symmetry The Golden Ratio Prediction for the Solar Angle from a Natural Model with A5 Flavour Symmetry

2011-01-02

arxiv.org/abs/1101.0393v3

JHEP 1103:101,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, 2 figures. Minor changes, references added. Corrected typos in Appendix A. Version appeared on JHEP

Scientific paper

10.1007/JHEP03(2011)101

We formulate a consistent model predicting, in the leading order approximation, maximal atmospheric mixing angle, vanishing reactor angle and tan {\theta}_12 = 1/{\phi} where {\phi} is the Golden Ratio. The model is based on the flavour symmetry A5 \times Z5 \times Z3, spontaneously broken by a set of flavon fields. By minimizing the scalar potential of the theory up to the next-to-leading order in the symmetry breaking parameter, we demonstrate that this mixing pattern is naturally achieved in a finite portion of the parameter space, through the vacuum alignment of the flavon fields. The leading order approximation is stable against higher-order corrections. We also compare our construction to other models based on discrete symmetry groups.

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