How to Evade a No-Go Theorem in Flavor Symmetries

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages, no figure, talk given at International Workshop on Grand Unified Theories: Current Status and Future Prospects, Kusa

Scientific paper

10.1063/1.2939063

A no-go theorem in flavor symmetries is reviewed. The theorem asserts that we
cannot bring any flavor symmetry into mass matrix model in which number of
Higgs scalars is, at most, one for each sector (e.g. H_u and H_d for up- and
down-quark sectors, respectively). Such the strong constraint comes from the
SU(2)_L symmetry. Possible three options to evade the theorem are discussed.

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