Abstract
In 2004, two us proposed a texture, the “Simplest” neutrino mass matrix, which predicted \( \sin {\theta_{13 }}=\sqrt{{{{{2\varDelta m_{{^{sol}}}^2}} \left/ {{3\varDelta m_{{^{atm}}}^2}} \right.}}} \) and δ CP = 90°. Using today’s measured values for neutrino mass-squared differences, this prediction gives \( {\sin^2}2{\theta_{13 }}\simeq 0.086_{-0.006}^{+0.003 } \), compared with a measured value, found by averaging the results of the Daya Bay and RENO experiments, of sin22θ 13 = 0.093 ± 0.010. Here we present a specific model based on S 4 symmetry leading to this successful texture in the context of the type-1 see-saw mechanism, assuming Majorana neutrinos. In this case, slightly different predictions are obtained relating θ 13 to the light neutrino masses, which are in accord with current experimental limits and testable at future experiments. Large CP asymmetries remain a generic prediction of the texture.
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Krishnan, R., Harrison, P.F. & Scott, W.G. Simplest neutrino mixing from S 4 symmetry. J. High Energ. Phys. 2013, 87 (2013). https://doi.org/10.1007/JHEP04(2013)087
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DOI: https://doi.org/10.1007/JHEP04(2013)087