{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:G6GYSN74CVQP5GGL4YNRAOPYSZ","short_pith_number":"pith:G6GYSN74","schema_version":"1.0","canonical_sha256":"378d8937fc1560fe98cbe61b1039f896604dbd4c4d65d8ea05ceca7d2e2dfb9a","source":{"kind":"arxiv","id":"hep-ph/0011222","version":3},"attestation_state":"computed","paper":{"title":"One-loop Singular Behaviour of QCD and SUSY QCD Amplitudes with Massive Partons","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Stefan Dittmaier, Stefano Catani, Zoltan Trocsanyi","submitted_at":"2000-11-17T17:28:29Z","abstract_excerpt":"We discuss the structure of infrared and ultraviolet singularities in on-shell QCD and supersymmetric QCD amplitudes at one-loop order. Previous results, valid for massless partons, are extended to the case of massive partons. Using dimensional regularization, we present a general factorization formula that controls both the singular epsilon-poles and the logarithmic contributions that become singular for vanishing masses. We introduce generalized Altarelli--Parisi splitting functions and discuss their relations with the singular terms in the amplitudes. The dependence on the regularization sc"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-ph/0011222","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-11-17T17:28:29Z","cross_cats_sorted":[],"title_canon_sha256":"3e128b8c311e0fb36ddc07b437d44e5ae49297dc2a22bfb84a0798b1ce8ffa64","abstract_canon_sha256":"aaf0808690d1d92c2e60c2f02e3b9249b8fb20cedd4bae184964a165d7f1e0a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:48.994301Z","signature_b64":"smLh7RlRR0O4JREMv0I/flu6DcdpoJMWWqgr2J+M2wVJ+6He3QRZxADbIF/uGyplHzyUuWINw0qXKLg5U0QmDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"378d8937fc1560fe98cbe61b1039f896604dbd4c4d65d8ea05ceca7d2e2dfb9a","last_reissued_at":"2026-05-18T02:36:48.993758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:48.993758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"One-loop Singular Behaviour of QCD and SUSY QCD Amplitudes with Massive Partons","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Stefan Dittmaier, Stefano Catani, Zoltan Trocsanyi","submitted_at":"2000-11-17T17:28:29Z","abstract_excerpt":"We discuss the structure of infrared and ultraviolet singularities in on-shell QCD and supersymmetric QCD amplitudes at one-loop order. Previous results, valid for massless partons, are extended to the case of massive partons. Using dimensional regularization, we present a general factorization formula that controls both the singular epsilon-poles and the logarithmic contributions that become singular for vanishing masses. We introduce generalized Altarelli--Parisi splitting functions and discuss their relations with the singular terms in the amplitudes. The dependence on the regularization sc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0011222","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0011222","created_at":"2026-05-18T02:36:48.993844+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0011222v3","created_at":"2026-05-18T02:36:48.993844+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0011222","created_at":"2026-05-18T02:36:48.993844+00:00"},{"alias_kind":"pith_short_12","alias_value":"G6GYSN74CVQP","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"G6GYSN74CVQP5GGL","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"G6GYSN74","created_at":"2026-05-18T12:25:49.631198+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2511.10666","citing_title":"Jet fragmentation function and groomed substructure of bottom quark jets in proton-proton collisions at 5.02 TeV","ref_index":7,"is_internal_anchor":true},{"citing_arxiv_id":"2511.11424","citing_title":"Double virtual QCD corrections to $t\\bar{t}+$jet production at the LHC","ref_index":88,"is_internal_anchor":true},{"citing_arxiv_id":"2604.16251","citing_title":"Tensor decomposition of $e^+e^-\\to\\pi^+\\pi^-\\gamma$ to higher orders in the dimensional regulator","ref_index":32,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/G6GYSN74CVQP5GGL4YNRAOPYSZ","json":"https://pith.science/pith/G6GYSN74CVQP5GGL4YNRAOPYSZ.json","graph_json":"https://pith.science/api/pith-number/G6GYSN74CVQP5GGL4YNRAOPYSZ/graph.json","events_json":"https://pith.science/api/pith-number/G6GYSN74CVQP5GGL4YNRAOPYSZ/events.json","paper":"https://pith.science/paper/G6GYSN74"},"agent_actions":{"view_html":"https://pith.science/pith/G6GYSN74CVQP5GGL4YNRAOPYSZ","download_json":"https://pith.science/pith/G6GYSN74CVQP5GGL4YNRAOPYSZ.json","view_paper":"https://pith.science/paper/G6GYSN74","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0011222&json=true","fetch_graph":"https://pith.science/api/pith-number/G6GYSN74CVQP5GGL4YNRAOPYSZ/graph.json","fetch_events":"https://pith.science/api/pith-number/G6GYSN74CVQP5GGL4YNRAOPYSZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G6GYSN74CVQP5GGL4YNRAOPYSZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G6GYSN74CVQP5GGL4YNRAOPYSZ/action/storage_attestation","attest_author":"https://pith.science/pith/G6GYSN74CVQP5GGL4YNRAOPYSZ/action/author_attestation","sign_citation":"https://pith.science/pith/G6GYSN74CVQP5GGL4YNRAOPYSZ/action/citation_signature","submit_replication":"https://pith.science/pith/G6GYSN74CVQP5GGL4YNRAOPYSZ/action/replication_record"}},"created_at":"2026-05-18T02:36:48.993844+00:00","updated_at":"2026-05-18T02:36:48.993844+00:00"}