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On the Status of Three-Neutrino Mixing

S. M. Bilenky
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Abstract

All existing solar and atmospheric neutrino oscillation data are described by the standard two-neutrino formulas with neutrino mass squared differences that satisfy the hierarchy relation $Δm^{2}_{sol} \ll Δm^{2}_{atm}$. We discuss this phenomenon from the point of view of three-neutrino mixing. Possibilities to see effects of three-neutrino mixing and, in particular, effects of CP-violation in the lepton sector depend on the values of $|U_{e3}|^2 $ and $Δm^{2}_{sol}$. We present an upper bound of $|U_{e3}|^2 $, which was obtained from a three-neutrino analysis of CHOOZ data in the case if the solar neutrino oscillation parameters lie in the LMA allowed region.

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S. M. Bilenky. 2001-10-17. On the Status of Three-Neutrino Mixing. https://arxiv.org/abs/hep-ph/0110210

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