{"paper":{"title":"Unitarity violation and restoration in radiative bound-state formation","arxiv_id":"2602.20243","primary_cat":"hep-ph","submitted_at":"2026-02-23T19:00:01+00:00","version_compiled":"v2"},"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. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v2","sentences":[{"i":0,"p":0.96,"id":"s0","own":false,"role":"background","text":"State-of-the-art calculations motivated by dark matter exhibit severe violation of partial-wave unitarity in the non-relativistic regime in radiative bound-state-formation processes.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.11,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.09,"role_probabilities":{"gap":0.03,"method":0.0,"result":0.01,"background":0.96,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":1.0,"id":"s1","own":false,"role":"background","text":"It has been recently shown, in a model-independent fashion, that unitarity is restored by the proper resummation of the inelastic contributions to the self-energy of the incoming state.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.05,"main_claim_p":0.22,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.88,"id":"s2","own":true,"role":"contribution","text":"In this work, we first derive Kramers-like formulae for individual partial waves, demonstrating that existing calculations of bound-state formation severely violate unitarity.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.17,"quantitative":false,"quantitative_p":0.13,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.11,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.88,"interpretation":0.0}},{"i":3,"p":0.61,"id":"s3","own":true,"role":"contribution","text":"We then discuss how unitarity is restored through the resummation of the absorptive contributions to the incoming-state self-energy, generated by bound-state formation processes, taking into account their analytic structure in the complex momentum plane.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.83,"main_claim_p":0.47,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.34,"result":0.05,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.61,"interpretation":0.0}},{"i":4,"p":0.62,"id":"s4","own":false,"role":"interpretation","text":"Our results can be generalized to a variety of theories and employed in phenomenological studies, such as dark-matter freeze-out, indirect detection and self-interactions.","hedge":{"p":0.56,"label":"asserted"},"own_p":0.44,"main_claim_p":0.1,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.01,"background":0.0,"limitation":0.0,"future_work":0.36,"contribution":0.01,"interpretation":0.62}}]},"compiled":{"main_claim":{"p":0.86,"text":"We then discuss how unitarity is restored through the resummation 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