NEW PARAMETRIZATION OF NEUTRINO MIXING MATRIX

2010/11/30 by H. Benaoum, H. B. Benaoum
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1142/s021773231103489x

published as Mod.Phys.Lett.A26:423-431,2011 · 10 pages, no figures, correted minor typos

openalex publication_date 2011/02/21 · arxiv created 2011/03/03 · arxiv updated 2011/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Global fits to neutrino oscillation data are compatible with tri-bimaximal mixing pattern, which predict θ 23 = π/4, [Formula: see text] and θ 13 = 0. We propose here to parametrize the tri-bimaximal mixing matrix V TBM by its hermitian generator H TBM using the exponential map. Then we use the exponential map to express the deviations from tri-bimaximal pattern by deriving the hermitian matrices H z = 0 and H 1 . These deviations might come from the symmetry breaking of the neutrino and charged lepton sectors.

Citations

• Unitary Parametrization of Perturbations to Tribimaximal Neutrino Mixing
• S3 symmetry and tri-bimaximal mixing
• Parameterizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Nearly tri-bimaximal neutrino mixing and CP violation
• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation
• Leptogenesis andμ−τsymmetry
• Parametrizing the neutrino mixing matrix
• Tri-bimaximal neutrino mixing from orbifolding