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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 $(S_3)^3$.

fields

hep-ph 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Maximal Abelian Flavor Symmetries

hep-ph · 2026-06-05 · unverdicted · novelty 6.0

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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  • Maximal Abelian Flavor Symmetries hep-ph · 2026-06-05 · unverdicted · none · ref 24 · internal anchor

    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).