Golden Ratio Prediction for Solar Neutrino Mixing

Details Golden Ratio Prediction for Solar Neutrino Mixing Golden Ratio Prediction for Solar Neutrino Mixing

2009-03-03

arxiv.org/abs/0903.0531v2

NewJ.Phys.11:063026,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 1 figure. Matches published version

Scientific paper

10.1088/1367-2630/11/6/063026

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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