Charged Lepton Mass Spectrum and a Scalar Potential Model

preprint2010arXivOpen access

Abstract

Stimulated by a recent work by Sumino, on the basis of a model in which effective Yukawa coupling constants are described by vacuum expectation values of a scalar ΦΦ with 3×33\times 3 components, a possible form of the scalar potential V(Φ)V(Φ) which can well describe the observed charged lepton mass spectrum is investigated without referring to a specific flavor symmetry model. A general relation among eigenvalues of <Φ> is derived without referring to an explicit form of V(Φ)V(Φ).

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