O(3) Flavor Symmetry and an Empirical Neutrino Mass Matrix

Abstract

Based on a new approach to quark and lepton masses, where the mass spectra originate in vacuum expectation values of O(3)-flavor 1+5 (gauge singlet) scalars, a neutrino mass matrix of a new type is speculated. The mass matrix is described in terms of the up-quark and charged lepton masses, and, by assuming a special flavor basis, it can be accommodated to a nearly tribimaximal mixing without explicitly assuming a discrete symmetry. Quark mass relations are also discussed based on the new approach.

arXiv comment9 pages, no figure, title changed, version to appear in Phys.Lett.B

References in corpus (19)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Precision Measurement of Neutrino Oscillation Parameters with KamLAND
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Observation of muon neutrino disappearance with the MINOS detectors and the NuMI neutrino beam
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Updated Values of Running Quark and Lepton Masses
• Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters
• Three flavor neutrino oscillation analysis of atmospheric neutrinos in Super-Kamiokande
• A Redetermination of the Neutrino Mass-Squared Difference in Tri-Maximal Mixing with Terrestrial Matter Effects
• Tri-bimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices
• S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing
• Permutation Symmetry S_3 and VEV Structure of Flavor-Triplet Higgs Scalars
• Form Invariance of the Neutrino Mass Matrix
• Lepton Family Symmetry and Possible Application to the Koide Mass Formula
• U(3)-Family Nonet Higgs Boson and its Phenomenology
• A_4 Symmetry and Lepton Masses and Mixing
• U(3)-Flavor Nonet Scalar as an Origin of the Flavor Mass Spectra

Cited by in corpus (16)

• Charged Lepton Mass Relations in a Supersymmetric Yukawaon Model
• Family Gauge Symmetry as an Origin of Koide's Mass Formula and Charged Lepton Spectrum
• Phenomenological Meaning of a Neutrino Mass Matrix Related to Up-Quark Masses
• Yukawaon Model in the Quark Sector and Nearly Tribimaximal Neutrino Mixing
• Unified description of quark and lepton mixing matrices based on a Yukawaon model
• Grand Yukawonification : SO(10) grand unified theories with dynamical Yukawa couplings
• Yukawaon Approach to the Sumino Relation for Charged Lepton Masses
• Charged Lepton Mass Spectrum and Supersymmetric Yukawaon Model
• Empirical Neutrino Mass Matrix Related to Up-Quark Masses
• Yukawaon Model with U(3)$\times$O(3) Family Symmetries
• Flavon VEV Scales in U(3)$\times$U(3)${}^{\prime }$ Model
• Origin of Hierarchical Structures of Quark and Lepton Mass Matrices
• Neutrino Mass Matrix Related to Up-Quark Masses and Nearly Tribimaximal Mixing -- Based on a Yukawaon model --
• Can Massless and Light Yukawaons be Harmless?
• Quark and Lepton Mass Matrices Described by Charged Lepton Masses
• A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model