English

Golden Ratio Prediction for Solar Neutrino Mixing

High Energy Physics - Phenomenology 2009-06-17 v2 High Energy Physics - Experiment

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.

Keywords

Cite

@article{arxiv.0903.0531,
  title  = {Golden Ratio Prediction for Solar Neutrino Mixing},
  author = {Adisorn Adulpravitchai and Alexander Blum and Werner Rodejohann},
  journal= {arXiv preprint arXiv:0903.0531},
  year   = {2009}
}

Comments

15 pages, 1 figure. Matches published version