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Golden Ratio Prediction for Solar Neutrino Mixing

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Adulpravitchai,  Adisorn
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

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Blum,  Alexander
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

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Rodejohann,  Werner
Werner Rodejohann - ERC Starting Grant, Junior Research Groups, MPI for Nuclear Physics, Max Planck Society;

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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.