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arxiv: hep-ph/0506247 · v1 · submitted 2005-06-24 · ✦ hep-ph

Challenge to the Mystery of the Charged Lepton Mass Formula

classification ✦ hep-ph
keywords masssqrtchargedformulaleptonmysteryprinciplesstructure
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Why the charged lepton mass formula m_e +m_\mu +m_\tau = {2/3} (\sqrt{m_e}+\sqrt{m_\mu} +\sqrt{m_\tau})^2 is mysterious is reviewed, and guiding principles to solve the mystery are presented. According to the principles, an example of such a mass generation mechanism is proposed, where the origin of the mass spectrum is attributed not to the structure of the Yukawa coupling constants, but to a structure of vacuum expectation values of flavor-triplet scalars under Z_4 \times S_3 symmetries.

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