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#### Golden Ratio Prediction for Solar Neutrino Mixing

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##### Citation

Adulpravitchai, A., Blum, A., & Rodejohann, W. (2009). Golden Ratio Prediction
for Solar Neutrino Mixing.* New Journal of Physics,* *11*:
063026, pp. 1-13. doi:10.1088/1367-2630/11/6/063026.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-7548-8

##### Abstract

It has recently been speculated that the solar neutrino mixing angle is connected to the golden ratio phi. Two such proposals have been made, cot theta_{12} = phi and cos theta_{12} = phi/2. We compare these Ansatze and discuss a model leading to cos theta_{12} = phi/2 based on the dihedral group D_{10}. This symmetry is a natural candidate because the angle in the expression cos theta_{12} = phi/2 is simply pi/5, or 36 degrees. This is the exterior angle of a decagon and D_{10} is its rotational symmetry group. We also estimate radiative corrections to the golden ratio predictions.