Tribimaximal Neutrino Mixing and a Relation Between Neutrino- and Charged Lepton-Mass Spectra

Abstract

Brannen has recently pointed out that the observed charged lepton masses satisfy the relation m_e +m_μ+m_τ= {2/3} (\sqrt{m_e}+\sqrt{m_μ}+\sqrt{m_τ})^2, while the observed neutrino masses satisfy the relation m_{ν1} +m_{ν2} +m_{ν3} = {2/3} (-\sqrt{m_{ν1}}+\sqrt{m_{ν2}}+\sqrt{m_{ν3}})^2. It is discussed what neutrino Yukawa interaction form is favorable if we take the fact pointed out by Brannen seriously.

arXiv comment13 pages, presentation modified

References in corpus (19)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Measurement of the Total Active 8B Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Some Simple Mixing and Mass Matrices for Neutrinos
• Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters
• Updated Estimate of Running Quark Masses
• A 2-3 Symmetry in Neutrino Oscillations
• A Redetermination of the Neutrino Mass-Squared Difference in Tri-Maximal Mixing with Terrestrial Matter Effects
• The solar LMA neutrino oscillation solution in the Zee model
• Tri-bimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices
• Permutation Symmetry S_3 and VEV Structure of Flavor-Triplet Higgs Scalars
• Universal Seesaw Mass Matrix Model with an S_3 Symmetry
• Form Invariance of the Neutrino Mass Matrix
• Unified Universal Seesaw Models
• U(3)-Family Nonet Higgs Boson and its Phenomenology
• The Generational Seesaw Mechanism in [SU(6)]${}^3\times$Z${}_3$}

Cited by in corpus (14)

• Deviations from Tri-bimaximal Neutrino Mixing in Type-II Seesaw and Leptogenesis
• Charged Lepton Mass Relations in a Supersymmetric Yukawaon Model
• Triminimal Parametrization of Quark Mixing Matrix
• Unified parametrization of quark and lepton mixing matrices in tri-bimaximal pattern
• Dimension-five effective operators in electro-weak SU(4)xU(1) gauge models
• Probing maximal zero textures with broken cyclic symmetry in inverse seesaw
• Yukawaon Approach to the Sumino Relation for Charged Lepton Masses
• A new Koide tuple: strange-charm-bottom
• Symmetryless Dark Matter
• Remark on Koide's Z3-symmetric parametrization of quark masses
• New Origin of a Bilinear Mass Matrix Form
• Koide's Z_3-symmetric parametrization, quark masses and mixings
• A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model
• New Parametrization of Neutrino Mixing Matrix