1998/12/16 by Lawrence J. Hall, David Smith · 1 citation
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1103/physrevd.59.113013
published as Phys.Rev.D59:113013,1999 · 17 pages, added references
arxiv created 1998/12/16 · openalex publication_date 1999/05/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In theories with three light neutrinos, certain simplicity assumptions allow the construction of a complete list of leading order lepton mass matrices. These matrices are consistent with m_\ensuremathτ\ensuremath≠0,\ensuremathΔm122\ensuremath≪\ensuremathΔm232,\ensuremathθ23\ensuremath∼O(1) and \ensuremathθ13=0, as suggested by measurements of atmospheric and solar neutrino fluxes. The list contains twelve generic cases: two have three degenerate neutrinos, eight have two neutrinos forming a Dirac state, and in only two cases is one neutrino much heavier than the other two. For each of these twelve generic cases the possible forms for the perturbations which yield m_\ensuremathμ are given. Ten special textures are also found.