Challenge to the Mystery of the Charged Lepton Mass Formula

Details Challenge to the Mystery of the Charged Lepton Mass Formula Challenge to the Mystery of the Charged Lepton Mass Formula

2005-06-24

arxiv.org/abs/hep-ph/0506247v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 1 figure, contribution paper to Lepton-Photon 2005

Scientific paper

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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