Phenomenological meaning of a neutrino mass matrix related to up-quark masses

2008/09/30 by Yoshio Koide
Chemistry · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Cabibbo–Kobayashi–Maskawa matrix #Chemistry #Electron #Lepton #Mass matrix #Matrix (chemical analysis) #Mixing (physics) #Neutrino #Neutrino Physics Research #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Quark #hep-ph

paper · pdf · doi:10.1103/physrevd.78.093006

published as Phys.Rev.D78:093006,2008 · 16 pages, no figure, to appear in Phys.Rev.D

arxiv created 2008/10/30 · openalex publication_date 2008/11/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Recently, a curious neutrino mass matrix has been proposed: it is related to up-quark masses, and it can excellently give a nearly tribimaximal mixing. It is pointed out that, in order to obtain such successful results, three phenomenological relations among masses and Cabibbo-Kobayashi-Maskawa parameters must be simultaneously satisfied. This suggests that there must be a specific flavor basis in which down-quark and charged lepton mass matrices are simultaneously diagonalized.

Citations

• Review of Particle Physics
• On the Parametrization of Flavor Mixing in the Standard Model
• Symmetries and generalisations of tri-bimaximal neutrino mixing
• Tribimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices
• Form Invariance of the Neutrino Mass Matrix
• O(3) flavor symmetry and an empirical neutrino mass matrix
• Nearly tri-bimaximal neutrino mixing and CP violation
• U(3)-flavor nonet scalar as an origin of the flavor mass spectra
• CP-Violation in the Renormalizable Theory of Weak Interaction