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Another Formula for the Charged Lepton Masses

High Energy Physics - Phenomenology 2018-01-17 v2

Abstract

A charged lepton mass formula (me+mμ+mτ)/(me+mμ+mτ)2=2/3(m_e +m_\mu + m_\tau)/(\sqrt{m_e}+\sqrt{m_\mu} + \sqrt{m_\tau})^2 =2/3 is well-known. Since we can, in general, have two relations for three quantities, we may also expect another relation for the charged lepton masses. Then, the relation will be expressed by a form of memμmτ/(me+mμ+mτ)3\sqrt{m_e m_\mu m_\tau}/(\sqrt{m_e}+\sqrt{m_\mu} + \sqrt{m_\tau})^3. According to this conjecture, a scalar potential model is speculated.

Cite

@article{arxiv.1711.03221,
  title  = {Another Formula for the Charged Lepton Masses},
  author = {Yoshio Koide},
  journal= {arXiv preprint arXiv:1711.03221},
  year   = {2018}
}

Comments

5 pages, no figure; a typo in Eq.(7) corrected

R2 v1 2026-06-22T22:40:36.427Z