{"paper":{"title":"Double virtual QCD corrections to $t\\bar{t}+$jet production at the LHC","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Leading-colour two-loop QCD corrections to top-quark pair plus jet production are computed and packaged for NNLO use.","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Colomba Brancaccio, Heribertus Bayu Hartanto, Matteo Becchetti, Micha{\\l} Czakon, Rene Poncelet, Simon Badger, Simone Zoia","submitted_at":"2025-11-14T15:52:56Z","abstract_excerpt":"We present a leading colour computation of the double virtual contributions to top-quark pair production in association with a jet at a hadron collider at next-to-next-to-leading order in QCD. The finite remainders of the two-loop amplitudes, after subtraction of infrared and ultraviolet divergences, are extracted analytically from evaluations over finite fields by using a (potentially) overcomplete basis of special functions defined through their differential equations. We construct the colour- and spin-summed interference with the tree-level amplitudes and present a \\texttt{C++} library suit"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We present a leading colour computation of the double virtual contributions to top-quark pair production in association with a jet at a hadron collider at next-to-next-to-leading order in QCD. The finite remainders of the two-loop amplitudes, after subtraction of infrared and ultraviolet divergences, are extracted analytically from evaluations over finite fields by using a (potentially) overcomplete basis of special functions defined through their differential equations.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The leading-colour approximation captures the dominant physics for phenomenological applications and the chosen special-function basis together with the numerical integration method remains stable and complete over the entire physical phase space.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Leading-colour two-loop virtual amplitudes for ttbar+jet are extracted analytically via finite-field evaluations and differential equations, then packaged in a C++ library with new numerical integration techniques.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Leading-colour two-loop QCD corrections to top-quark pair plus jet production are computed and packaged for NNLO use.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"47cb449006bf44dac7f53d3c3fe49b164ef40a3a3110903e0d1d96d5173ccc2e"},"source":{"id":"2511.11424","kind":"arxiv","version":2},"verdict":{"id":"73f1d081-48e1-4491-9fca-19e7e64b4479","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-17T22:05:38.337689Z","strongest_claim":"We present a leading colour computation of the double virtual contributions to top-quark pair production in association with a jet at a hadron collider at next-to-next-to-leading order in QCD. The finite remainders of the two-loop amplitudes, after subtraction of infrared and ultraviolet divergences, are extracted analytically from evaluations over finite fields by using a (potentially) overcomplete basis of special functions defined through their differential equations.","one_line_summary":"Leading-colour two-loop virtual amplitudes for ttbar+jet are extracted analytically via finite-field evaluations and differential equations, then packaged in a C++ library with new numerical integration techniques.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The leading-colour approximation captures the dominant physics for phenomenological applications and the chosen special-function basis together with the numerical integration method remains stable and complete over the entire physical phase space.","pith_extraction_headline":"Leading-colour two-loop QCD corrections to top-quark pair plus jet production are computed and packaged for NNLO use."},"references":{"count":120,"sample":[{"doi":"","year":2007,"title":"NLO QCD corrections to t tbar + jet production at hadron colliders","work_id":"9b4c5ef2-9158-4451-b8de-551d636c45c7","ref_index":1,"cited_arxiv_id":"hep-ph/0703120","is_internal_anchor":true},{"doi":"","year":2012,"title":"Hadronic top-quark pair-production with one jet and parton showering","work_id":"1a6d688a-8cbe-4b6f-b398-64067526850c","ref_index":2,"cited_arxiv_id":"1110.5251","is_internal_anchor":true},{"doi":"","year":2012,"title":"Top quark pair production in association with a jet: QCD corrections and jet radiation in top quark decays","work_id":"32c9ec83-5af4-49da-9dbf-9c7aa26af96f","ref_index":3,"cited_arxiv_id":"1111.4991","is_internal_anchor":true},{"doi":"","year":2016,"title":"Top Quark Pair Production in Association with a Jet with NLO QCD Off-Shell Effects at the Large Hadron Collider","work_id":"3675ef5d-5542-4ce5-abc4-5db8319560d1","ref_index":4,"cited_arxiv_id":"1509.09242","is_internal_anchor":true},{"doi":"","year":2016,"title":"Off-shell Top Quarks with One Jet at the LHC: A comprehensive analysis at NLO QCD","work_id":"73f4ab40-1a67-4b95-add0-ecb513679ba2","ref_index":5,"cited_arxiv_id":"1609.01659","is_internal_anchor":true}],"resolved_work":120,"snapshot_sha256":"0e2ab4a675fde0526978d32dfb611e60c2bee22960fc61c1c766eeb4334504e6","internal_anchors":40},"formal_canon":{"evidence_count":2,"snapshot_sha256":"0509609a4b2dfda98a59438c1bf1ce215da5121c4b1fd0a8b087a49fbd18b205"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}