U(3)-Flavor Nonet Scalar as an Origin of the Flavor Mass Spectra

Abstract

According to an idea that the quark and lepton mass spectra originate in a VEV structure of a U(3)-flavor nonet scalar Φ, the mass spectra of the down-quarks and charged leptons are investigated. The U(3) flavor symmetry is spontaneously and completely broken by non-zero and non-degenerated VEVs of $\Phi$, without passing any subgroup of U(3). The ratios (m_e+m_μ+m_τ)/(\sqrt{m_e}+\sqrt{m_μ}+\sqrt{m_τ})^2 and \sqrt{m_e m_μm_τ}/(\sqrt{m_e}+\sqrt{m_μ}+\sqrt{m_τ})^3 are investigated based on a toy model.

arXiv comment10 pages, no fugure, version to appear in Phys.Lett.B

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• Charged Lepton Mass Spectrum and Supersymmetric Yukawaon Model
• Empirical Neutrino Mass Matrix Related to Up-Quark Masses
• Can Massless and Light Yukawaons be Harmless?
• A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model
• Family Unification in $SO(16)$ Grand Unification