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 sigma below the present best-fit value and final SNO and KamLAND data could discriminate it from tri-bimaximal mixing. The neutrino mass matrix is invariant under a Z(2) circle times 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) approximate to 13.3 degrees, up to the uncertainties comparable to V(ub).

Golden ratio prediction for solar neutrino mixing

STRUMIA, ALESSANDRO
2007

Abstract

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 sigma below the present best-fit value and final SNO and KamLAND data could discriminate it from tri-bimaximal mixing. The neutrino mass matrix is invariant under a Z(2) circle times 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) approximate to 13.3 degrees, up to the uncertainties comparable to V(ub).
Kajiyama, Y; Raidal, M; Strumia, Alessandro
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/115005
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