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arXiv · 0903.0531

Golden Ratio Prediction for Solar Neutrino Mixing

Adisorn Adulpravitchai·Alexander Blum·Werner Rodejohann
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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.

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Adisorn Adulpravitchai, Alexander Blum, Werner Rodejohann. 2009-06-17. Golden Ratio Prediction for Solar Neutrino Mixing. https://doi.org/10.1088/1367-2630%2F11%2F6%2F063026

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