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A Geometry of the Generations
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A Geometry of the Generations
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We propose a geometric theory of flavor based on the discrete group $(S_3)^3$, in the context of the minimal supersymmetric standard model. The group treats three objects symmetrically, while making fundamental distinctions between the generations. The top quark is the only heavy quark in the symmetry limit, and the first and second generation squarks are degenerate. The hierarchical nature of Yukawa matrices is a consequence of a sequential breaking of $(S_3)^3$.
Forward citations
Cited by 3 Pith papers
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Classification of minimal models producing b, c and tau masses at one-loop level
A systematic catalogue of 25 minimal radiative mass models for b, c, and τ, including eight 'hybrid' models whose Yukawa couplings can lie above, below, or exactly at the Standard Model prediction.
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Maximal Abelian Flavor Symmetries
MAFS approximates 15 flavor observables in SU(5) using 5 ε_a parameters and in SO(10) using 3, while requiring large neutrino mixing from quark hierarchies and generating baryon asymmetry via leptogenesis.
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Maximal Abelian Flavor Symmetries
MAFS describes 15 flavor observables in SU(5) and SO(10) GUTs using 5 or 3 fitted small parameters at factor-of-two accuracy, implying large neutrino mixings and approximate leptogenesis without extra parameters in SU(5).
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