Neutrino 2-3 symmetry and inverted hierarchy

2005/03/31 by C. S. Lam · 7 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1103/physrevd.71.093001

published as Phys.Rev. D71 (2005) 093001 · eq.(9) corrected; clarifying explanations and a reference added

arxiv created 2005/04/09 · openalex publication_date 2005/05/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Neutrino oscillation data indicate the presence of a 2-3 symmetry for the left-handed neutrinos. We show that this symmetry between the second and third generations cannot be extended to include the charged leptons, no matter what basis we use. We point out that if this symmetry is also independently valid for the right-handed neutrinos, then the active neutrino spectrum is inverted, with m₃=0. This conclusion remains valid even when the left-handed 2-3 symmetry is broken by a nonmaximal atmospheric mixing angle \ensuremathθ₂₃, or a nonzero reactor angle \ensuremathθ₁₃. As previously shown by Mohapatra, Nasri, and Yu, such a symmetry also gives rise to interesting consequences on the leptogenesis asymmetry parameter ϵ₁.

Citations

• Leptogenesis in seesaw models with a two-fold-degenerate neutrino Dirac mass matrix
• Leptogenesis andμ−τsymmetry
• A bound on neutrino masses from baryogenesis

Cited by

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• What doesμ−τsymmetry imply about neutrino mixings?
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• Can the four-zero-texture mass matrix model reproduce the observed quark and lepton mixing angles andCP-violating phases?
• On the ambiguities in the tri-bimaximal mixing matrix and corresponding charged lepton corrections
• Common origin ofμ−τandCPbreaking in the neutrino seesaw, baryon asymmetry, and hidden flavor symmetry
• Constraining mass spectra with sterile neutrinos from neutrinoless double beta decay, tritium beta decay, and cosmology