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arxiv: 0903.0531 · v2 · submitted 2009-03-03 · ✦ hep-ph · hep-ex

Golden Ratio Prediction for Solar Neutrino Mixing

classification ✦ hep-ph hep-ex
keywords thetaanglegoldenratiobeengroupmixingneutrino
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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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