On the Status of Three-Neutrino Mixing

2001/10/16 by S. M. Bilenky, Bilenky, S. M.
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0110210

11 pages, Report at the Meeting NO-VE, Neutrino oscillations at Venice, 24-26 July 2001

openalex publication_date 2001/10/16 · arxiv created 2001/10/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Δm²_sol ≪ Δm²_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 Δm²_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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