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Three inequivalent mass-degenerate Majorana neutrinos and a scenario of their splitting for neutrino oscillations

2000/04/20 by Rathin Adhikari, Ernest Ma, G. Rajasekaran · 2 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Degeneracy (biology) #Degenerate energy levels #Double beta decay #Fermion #MAJORANA #Mass generation #Mass matrix #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Radiative transfer #Solar neutrino #Sterile neutrino #hep-ph

paper · pdf · doi:10.1016/s0370-2693(00)00718-8

published as Phys.Lett. B486 (2000) 134-139 · 10 pages, no figure

arxiv created 2000/04/20 · openalex publication_date 2000/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The mass matrix of three Majorana neutrinos of equal mass is not necessarily proportional to the identity matrix, but expressible in terms of two angles and one phase. We discuss how such a mass matrix may be stable or unstable against radiative corrections. We then propose a model with additional explicit breaking of the threefold degeneracy to account for the atmospheric neutrino data, while the radiative breaking explains the solar neutrino data, using the large-angle Mikheyev-Smirnov-Wolfenstein solution. Our model requires a nonzero effective νe mass for neutrinoless double beta decay close to the present experimental upper limit of 0.2 eV.

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