Neutrino Mass Anarchy

1999/11/24 by Lawrence J. Hall, Lawrence Hall, Hitoshi Murayama +1 · 3 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Mass matrix #Matrix (chemical analysis) #Measurements of neutrino speed #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Solar neutrino #Solar neutrino problem #Symmetry (geometry) #hep-ph

paper · pdf · doi:10.1103/physrevlett.84.2572

published as Phys.Rev.Lett.84:2572-2575,2000 · 4 pages, 3 figures, RevTeX. Minor changes, reference added

arxiv created 1999/11/24 · openalex publication_date 2000/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

What is the form of the neutrino mass matrix which governs the oscillations of the atmospheric and solar neutrinos? Features of the data have led to a dominant viewpoint where the mass matrix has an ordered, regulated pattern, perhaps dictated by a flavor symmetry. We challenge this viewpoint and demonstrate that the data are well accounted for by a neutrino mass matrix which appears to have random entries.

Citations

• Neutrino masses from U(1) symmetries and the Super-Kamiokande data
• Large lepton mixing in seesaw models - Coset-space family unification -
• Leading order textures for lepton mass matrices
• Textures for atmospheric and solar neutrino oscillations

Cited by

• Lepton flavor violation in flavored gauge mediation
• KNOTTED STRINGS AND LEPTONIC FLAVOR STRUCTURE
• Natural neutrino masses and mixings from warped geometry