Golden ratio prediction for solar neutrino mixing

By Y. Kajiyama, M. Raidal, Alessandro Strumia. 2007

166 citations recorded by the source corpus.

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{sub 2} x Z{sub 2}{sup '} 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}{sub C}={pi}/4-{theta}{sub 12}{approx_equal}13.3 deg., up to the uncertainties comparable to V{sub ub}.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6d0435ad771682cfe2d3fcdeca77eb8adf73e3ec

Citations in the corpus

• Neutrino non-standard interactions: A status report (2019, unknown): “Symmetries that have been utilized include A4 [67], A5 [68], T ′ [69], S3 [70], S4 [71],∆(27) [72], Z7nZ3 [73] and Q(6) [74].”