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 Φ with 3 × 3 components, a possible form of the scalar potential 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).

We present a modified version of the Koide formula from a scalar potential model or from a Yukawaon model, based on scalar fields set up in a nonet representation of the SU(3) flavor symmetry in the… Expand

Two empirical formulas for the lepton and quark masses (i.e. Kartavtsev’s extended Koide formulas), $$K_l=(\sum _l m_l)/(\sum _l\sqrt{m_l})^2=2/3$$Kl=(∑lml)/(∑lml)2=2/3 and $$K_q=(\sum _q m_q)/(\sum… Expand