New Origin of a Bilinear Mass Matrix Form

Abstract

The charged lepton mass formula can be explained when the masses are propotinal to the squared vacuum expectation values (VEVs) of scalar fields. We introduce U(3) flavor symmetry and its nonet scalar field $\Phi$, whose VEV structure plays an essential role for generating the fermion mass spectrum. We can naturally obtain bilinear form of the Yukawa coupling $Y_{ij}\propto {\sum }_k<{\Phi }_{ik}><{\Phi }_{kj}>$ without the non-renormalizable interactions, when the flavor symmetry is broken only through the Yukawa coupling and tadpole terms. We also speculate the possible VEV structure of $<\Phi >$.

8 pages, no figure, presentation changed

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Cited by in corpus (4)

• Family Gauge Symmetry as an Origin of Koide's Mass Formula and Charged Lepton Spectrum
• U(3)-Flavor Nonet Scalar as an Origin of the Flavor Mass Spectra
• F-term Induced Flavor Mass Spectrum
• Third Spectroscopy with a hint of superstrings