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Which measurable predictions follow from them is unclear.","posed_since":"2022","precise":"The ABJ-anomalous axial U(1) symmetries of QED and of the Standard Model retain non-invertible rational-angle subgroups (Choi, Lam, Shao 2022; Cordova, Ohmori 2022). Determine the exact selection rules and constraints on observables (neutral pion decay, axion couplings, neutrino masses) that follow from them beyond ordinary anomaly matching.","problem_ref":null,"references":"","settled_by":"A derivation of an exact constraint on a measurable quantity that follows from the non-invertible symmetry and not from ordinary anomaly matching.","status_note":"","title":"Observable consequences of non-invertible symmetries in the Standard 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