2002/06/23 by M. Jezabek, M. Jeżabek, P. Urban
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Degenerate energy levels #Dirac (video compression format) #Electron #Lepton #MAJORANA #Mixing (physics) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Solar neutrino #Solar neutrino problem #Sterile neutrino #hep-ph
paper · pdf · doi:10.1016/s0370-2693(02)02184-6
published as Phys.Lett. B541 (2002) 142-150 · 13 pages, 2 figures; added: a remark by the referee of PLB and new relevant references
arxiv created 2002/06/23 · openalex publication_date 2002/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Dirac masses of neutrinos can exhibit a strong hierarchy even if the Majorana masses of the right-handed neutrinos are degenerate and the hierarchy of the mass scales governing the oscillations of solar and atmospheric neutrinos is rather small. This phenomenon results from the see-saw mechanism and the algebraic structure of the effective mass operator for the active neutrinos. The large hierarchy of the Dirac masses is drastically modified by a symmetric unitary matrix R acting in the flavor space. A realistic pattern of neutrino masses and mixing is obtained. Maximal mixing for atmospheric neutrinos is attributed to the charged lepton sector. Large mixing in solar neutrino oscillations is due to the neutrino sector. Small Ue3 is a natural consequence of the model. The masses of the active neutrinos are given by μ3≈√Δm@2 and μ1/μ2≈ tan2θ_\odot.