Another Formula for the Charged Lepton Masses

Abstract

A charged lepton mass formula $(m_e+m_{\mu }+m_{\tau })/(\sqrt{m_e}+\sqrt{m_{\mu }}+\sqrt{m_{\tau }}{)}^2=2/3$ 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 $\sqrt{m_e{m}_{\mu }{m}_{\tau }}/(\sqrt{m_e}+\sqrt{m_{\mu }}+\sqrt{m_{\tau }}{)}^3$. According to this conjecture, a scalar potential model is speculated.

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