Yukawaon Approach to the Sumino Relation for Charged Lepton Masses

Abstract

On the basis of a supersymmetric yukawaon model, Sumino's relation for charged lepton masses is re-derived. A relation between values of $K(μ) \equiv (m_e +m_μ+ m_τ)/(\sqrt{m_e} + \sqrt{m_μ} + \sqrt{m_τ})^2$ and $κ(μ) \equiv \sqrt{m_e m_μm_τ}/ (\sqrt{m_e} + \sqrt{m_μ}+ \sqrt{m_τ})^3$ is investigated without using a relation $K=2/3$. Predicted value of $κ(μ)$ is compared with the observed value of $κ(μ)$, and it is concluded that the value $ξ(μ)\equiv (3/2)K(μ) -1$ is of the order of $10^{-3}$ or less.

14 pages, 3 figures, version accepted by PLB