The golden ratio prediction for the solar neutrino mixing

Details The golden ratio prediction for the solar neutrino mixing The golden ratio prediction for the solar neutrino mixing

2007-05-31

arxiv.org/abs/0705.4559v2

Phys.Rev.D76:117301,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages. Final version, to appear on PRD

Scientific paper

10.1103/PhysRevD.76.117301

We present a simple texture that predicts the cotangent of the solar neutrino mixing angle to be equal to the golden ratio. This prediction is 1.4 standard deviations below the present best-fit value and final SNO and KamLAND data could discriminate it from tri-bi-maximal mixing. The neutrino mass matrix is invariant under a Z_2 x Z'_2 symmetry: that geometrically is a reflection along the diagonal of the golden rectangle. Assuming an analogous structure in the quark sector suggests a golden prediction for the Cabibbo angle, theta_C = pi/4- theta_12 = 13.3 degree, up to uncertainties comparable to V_{ub}.

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