2013/04/30 by D. Hernández, D. Hernandez, A. Yu. Smirnov · 1 citation
Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Degeneracy (biology) #Discrete symmetry #Geometry #Homogeneous space #Lepton #MAJORANA #Mathematics #Mixing (physics) #Mixing patterns #Neutrino #Neutrino Physics Research #Neutrino oscillation #Nuclear physics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Symmetry (geometry) #hep-ph
paper · pdf · doi:10.1103/physrevd.88.093007
published as Phys. Rev. D 88, 093007 (2013) · fixed typos, references added
arxiv created 2013/10/15 · openalex publication_date 2013/11/18 · arxiv updated 2013/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Lepton mixing can originate from the breaking of a flavor symmetry in different ways in the neutrino and the charged lepton sector. We propose an extension of this framework that allows us to connect the mixing parameters with masses and, more precisely, with certain types of degeneracy of the neutrino mass spectrum. We obtain relations between the mixing parameters for the cases of partial degeneracy, m1=m2, and complete degeneracy, m1=m2=m3. These relations determine also the Majorana phases. It is shown that relatively small corrections to these lowest-order results can produce the required mass splitting and modify the mixing without significant changes of the other symmetry results.