Challenge to the Mystery of the Charged Lepton Mass Formula

Abstract

Why the charged lepton mass formula me +mμ +mτ = 2/3 (me+mμ +mτ)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 Z4 × S3 symmetries.

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