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 $K(\mu )\equiv (m_e+m_{\mu }+m_{\tau })/(\sqrt{m_e}+\sqrt{m_{\mu }}+\sqrt{m_{\tau }}{)}^2$ and $\kappa (\mu )\equiv \sqrt{m_e{m}_{\mu }{m}_{\tau }}/(\sqrt{m_e}+\sqrt{m_{\mu }}+\sqrt{m_{\tau }}{)}^3$ is investigated without using a relation $K=2/3$. Predicted value of $\kappa (\mu )$ is compared with the observed value of $\kappa (\mu )$, and it is concluded that the value $\xi (\mu )\equiv (3/2)K(\mu )-1$ is of the order of $10^{-3}$ or less.

14 pages, 3 figures, version accepted by PLB

References in corpus (10)

• Updated Values of Running Quark and Lepton Masses
• Family Gauge Symmetry and Koide's Mass Formula
• Charged Lepton Mass Relations in a Supersymmetric Yukawaon Model
• On the Koide-like Relations for the Running Masses of Charged Leptons, Neutrinos and Quarks
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• Tribimaximal Neutrino Mixing and a Relation Between Neutrino- and Charged Lepton-Mass Spectra
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Cited by in corpus (6)

• Extended Empirical Fermion Mass Relation
• Unified description of quark and lepton mixing matrices based on a Yukawaon model
• Neutrino masses from lepton and quark mass relations and neutrino oscillations
• Universal Bilinear Form of Quark and Lepton Mass Matrices
• Charged Lepton Mass Spectrum and a Scalar Potential Model
• A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model