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A Geometry of the Generations
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abstract
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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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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Topological Freeze-out by Semi-Annihilation
A dark QCD sector with gauged baryon number yields a p-wave semi-annihilation channel that can set the dark matter relic abundance for pion masses between 10 MeV and 1 TeV.
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