{"paper":{"title":"The triple collinear limit of one-loop QCD amplitudes","arxiv_id":"hep-ph/0312067","primary_cat":"hep-ph","submitted_at":"2003-12-04T17:09:39+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-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. 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space.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.64,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.03,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.97,"interpretation":0.0}},{"i":2,"p":0.49,"id":"s2","own":true,"role":"contribution","text":"The collinear singularities are embodied in process-independent splitting matrices that depend on the momenta, flavours, spins and colours of the collinear partons.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.67,"main_claim_p":0.22,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.08,"result":0.31,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.49,"interpretation":0.12}},{"i":3,"p":0.52,"id":"s3","own":true,"role":"contribution","text":"We give the general structure of the infrared and ultraviolet divergences of the one-loop splitting matrices.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.91,"main_claim_p":0.11,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.48,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.52,"interpretation":0.0}},{"i":4,"p":0.87,"id":"s4","own":true,"role":"result","text":"We also present explicit one-loop results for the triple collinear splitting, $q \\to q {\\bar Q} Q$, of a quark and a quark--antiquark pair of different flavours.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.18,"quantitative":false,"quantitative_p":0.22,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.87,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.13,"interpretation":0.0}},{"i":5,"p":0.92,"id":"s5","own":false,"role":"interpretation","text":"The one-loop triple collinear splitting is one of the ingredients that can be used to compute the evolution of parton distributions at the 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