2002/05/16 by Hock-Seng Goh, H. S. Goh, Rabindra N. Mohapatra +3 · 3 citations
Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Electron #Geometry #Lepton #Mass matrix #Mathematics #Matrix (chemical analysis) #Mixing (physics) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Nuclear physics #Observable #Oscillation (cell signaling) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pontecorvo–Maki–Nakagawa–Sakata matrix #Quantum mechanics #Solar neutrino #Solar neutrino problem #Symmetry (geometry) #hep-ex #hep-ph
paper · pdf · doi:10.1016/s0370-2693(02)02335-3
published as Phys.Lett. B542 (2002) 116-122 · 11 pages, 3 figures; references and a note added; figure labelling fixed
arxiv created 2002/05/16 · openalex publication_date 2002/08/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
As neutrino experiments are starting to probe the detailed structure of the neutrino mass matrix, we present sumrules relating its matrix elements for a class of models with approximate Le-Lμ-Lτ symmetry and the observables in neutrino oscillation experiments. We show that regardless of how the above symmetry is broken (whether in the neutrino sector or the charged lepton sector), as long as the breaking terms are small, there is a lower bound on the solar neutrino mixing angle, sin22θ\odot, correlated with the solar mass difference square, Δm2\odot, or the mixing parameter, Ue3. We also discuss models where such patterns can arise.