{"paper":{"title":"Froggatt-Nielsen mechanism with non-invertible symmetry","arxiv_id":"2610.26761","primary_cat":"hep-ph","submitted_at":"2026-10-19T17:19:49+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. 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couplings.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.6,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.11,"role_probabilities":{"gap":0.15,"method":0.0,"result":0.24,"background":0.02,"limitation":0.56,"future_work":0.0,"contribution":0.0,"interpretation":0.03}},{"i":2,"p":0.38,"id":"s2","own":true,"role":"method","text":"Introducing a flavon field allows the fusion rules to fix the leading powers of the small parameter $\\varepsilon=\\langle S\\rangle/\\Lambda$, thereby determining both the texture zeros and the orders of magnitude of the nonzero entries up to $\\mathcal{O}(1)$ coefficients.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.76,"main_claim_p":0.34,"quantitative":true,"quantitative_p":0.5,"role_probabilities":{"gap":0.01,"method":0.38,"result":0.22,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.36,"interpretation":0.03}},{"i":3,"p":0.81,"id":"s3","own":true,"role":"contribution","text":"We have constructed explicit quark and lepton models and study their predictions for the fermion mass and mixing hierarchies through analytical estimates and numerical analysis.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.96,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.19,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.81,"interpretation":0.0}},{"i":4,"p":0.99,"id":"s4","own":true,"role":"result","text":"In particular, a benchmark model with nine texture zeros in the quark sector can well accommodate the quark masses and mixing parameters with non-Hermitian Yukawa matrices.","hedge":{"p":0.68,"label":"asserted"},"own_p":0.92,"main_claim_p":0.16,"quantitative":true,"quantitative_p":0.96,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":5,"p":1.0,"id":"s5","own":true,"role":"result","text":"Its lepton sector admits a minimal type-I seesaw realization with normal neutrino mass ordering and one massless neutrino.","hedge":{"p":0.95,"label":"asserted"},"own_p":0.87,"main_claim_p":0.09,"quantitative":true,"quantitative_p":0.85,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":6,"p":1.0,"id":"s6","own":true,"role":"interpretation","text":"These results provide a common symmetry framework for fermion mass hierarchies and texture zeros.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.67,"main_claim_p":0.75,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":1.0}}]},"compiled":{"main_claim":{"p":0.97,"text":"These results provide a common symmetry framework for fermion mass hierarchies and texture zeros.","location":"abstract 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