Speaker
Description
We investigate a framework of the Minimal Supersymmetric Standard Model
(MSSM) in which the quark and lepton flavor structure and suppression of flavor-
changing neutral currents (FCNCs) are governed by non-invertible selection rules.
By implementing such non-group-like fusion rules for matter fields, arising from
gauging the outer automorphism Z2 of a discrete ZN symmetry, we obtain real-
istic Yukawa textures that reproduce the observed quark and lepton masses and
mixings while ensuring diagonal soft supersymmetry (SUSY) breaking masses and
hence suppressing dangerous FCNC processes. We analyze mass insertion pa-
rameters under random O(1) coefficients and find that all flavor-violating effects
are consistent with experimental limits on processes such as μ → eγ and meson
mixings. We show that the Yukawa textures and soft terms remain stable un-
der renormalization group evolution. Our results demonstrate that non-invertible
selection rules provide a compelling new mechanism to address both the flavor
structure and FCNC problems in supersymmetric models.
