Abstract
Since the discovery of neutrino oscillations, for which Takaaki Kajita and Arthur B. McDonald were awarded the 2015 Nobel prize in physics, tremendous progresses have been made in measuring the mixing angles which determine the oscillation pattern. A lot of theoretical efforts have been made to understand how neutrinos mix with each other. Present data show that in the standard parameterization of the mixing matrix, [Formula: see text] is close to [Formula: see text] and the CP violating phase is close to [Formula: see text]. In this talk I report results obtained in arXiv:1505.01932 (Phys. Lett. B750(2015)620) and arXive:1404.01560 (Chin. J. Phys.53(2015)100101) and discuss some implications for theoretical model buildings for such mixing pattern. Specific examples for neutrino mixing based on [Formula: see text] family symmetry are given.
Highlights
The 2015 Nobel prize in physics was awarded to Takaaki Kajita and Arthur B
The mixing pattern with a small θ12 was ruled out by large mixing from solar neutrino oscillation data,1, 4 and that with a small θ23 was ruled out by the atmospherical neutrino oscillation data2, 4 with θ23 is close to π/4
Before we analysis the general features of the neutrino mass matrix with complex parameters in the set PA4, we would like to analysis the constraints on the model parameters to have the Grimus-Lavoura symmetry (GLS) limit, that is, to have w, x, y, z to be real
Summary
McDonald were awarded the 2015 Nobel prize in physics, tremendous progresses have been made in measuring the mixing angles which determine the oscillation pattern. A lot of theoretical efforts have been made to understand how neutrinos mix with each other. Present data show that in the standard parameterization of the mixing matrix, θ23 is close to π/4 and the CP violating phase is close to −π/2. In this talk I report results obtained in arXiv:1505.01932 J. Phys.53(2015)100101) and discuss some implications for theoretical model buildings for such mixing pattern. Specific examples for neutrino mixing based on A4 family symmetry are given
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