{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:EBQN27LSNTPL6KTM5YPQRNKK56","short_pith_number":"pith:EBQN27LS","schema_version":"1.0","canonical_sha256":"2060dd7d726cdebf2a6cee1f08b54aef80344671eb66a3573672c7caf945d498","source":{"kind":"arxiv","id":"1911.04494","version":2},"attestation_state":"computed","paper":{"title":"Three-loop soft function for heavy-to-light quark decays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Maximilian Stahlhofen, Robin Br\\\"user, Ze Long Liu","submitted_at":"2019-11-11T19:00:00Z","abstract_excerpt":"We compute the 1-jettiness soft function for the decay of a heavy quark into a light quark jet plus colorless particles at three-loop order in soft-collinear effective theory. The 1-jettiness measurement fixes the total small light-cone momentum component of the soft radiation with respect to the jet direction. This soft function is a universal ingredient to the factorization of heavy-to-light quark decays in the limit of small 1-jettiness. Our three-loop result is required for resummation at the N$^3$LL$^\\prime$ level, e.g. near the endpoint in the photon energy spectrum of the $B \\to X_s \\ga"},"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":"1911.04494","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-11-11T19:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"f8907ae18f5152de21c7bcc8ab8c992e74020ab2bd2387d5b51b3b350a013719","abstract_canon_sha256":"efd9364c362d13f11ab04a26a09ee67c891a0a6a1028b2105cfa0c83cb2fb387"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:48:00.539348Z","signature_b64":"iDTfTgLtA0xGEbj4anirm4GMyLhGc4vcBpNkj4DxhWoSJMXi+N3HYnK9pSWi3Snc3jiAQaWYE7rU7Ad+0I/RAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2060dd7d726cdebf2a6cee1f08b54aef80344671eb66a3573672c7caf945d498","last_reissued_at":"2026-07-05T00:48:00.538902Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:48:00.538902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Three-loop soft function for heavy-to-light quark decays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Maximilian Stahlhofen, Robin Br\\\"user, Ze Long Liu","submitted_at":"2019-11-11T19:00:00Z","abstract_excerpt":"We compute the 1-jettiness soft function for the decay of a heavy quark into a light quark jet plus colorless particles at three-loop order in soft-collinear effective theory. The 1-jettiness measurement fixes the total small light-cone momentum component of the soft radiation with respect to the jet direction. This soft function is a universal ingredient to the factorization of heavy-to-light quark decays in the limit of small 1-jettiness. Our three-loop result is required for resummation at the N$^3$LL$^\\prime$ level, e.g. near the endpoint in the photon energy spectrum of the $B \\to X_s \\ga"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.04494","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1911.04494/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1911.04494","created_at":"2026-07-05T00:48:00.538964+00:00"},{"alias_kind":"arxiv_version","alias_value":"1911.04494v2","created_at":"2026-07-05T00:48:00.538964+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.04494","created_at":"2026-07-05T00:48:00.538964+00:00"},{"alias_kind":"pith_short_12","alias_value":"EBQN27LSNTPL","created_at":"2026-07-05T00:48:00.538964+00:00"},{"alias_kind":"pith_short_16","alias_value":"EBQN27LSNTPL6KTM","created_at":"2026-07-05T00:48:00.538964+00:00"},{"alias_kind":"pith_short_8","alias_value":"EBQN27LS","created_at":"2026-07-05T00:48:00.538964+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.19232","citing_title":"Progress on the soft anomalous dimension in QCD","ref_index":103,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EBQN27LSNTPL6KTM5YPQRNKK56","json":"https://pith.science/pith/EBQN27LSNTPL6KTM5YPQRNKK56.json","graph_json":"https://pith.science/api/pith-number/EBQN27LSNTPL6KTM5YPQRNKK56/graph.json","events_json":"https://pith.science/api/pith-number/EBQN27LSNTPL6KTM5YPQRNKK56/events.json","paper":"https://pith.science/paper/EBQN27LS"},"agent_actions":{"view_html":"https://pith.science/pith/EBQN27LSNTPL6KTM5YPQRNKK56","download_json":"https://pith.science/pith/EBQN27LSNTPL6KTM5YPQRNKK56.json","view_paper":"https://pith.science/paper/EBQN27LS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1911.04494&json=true","fetch_graph":"https://pith.science/api/pith-number/EBQN27LSNTPL6KTM5YPQRNKK56/graph.json","fetch_events":"https://pith.science/api/pith-number/EBQN27LSNTPL6KTM5YPQRNKK56/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EBQN27LSNTPL6KTM5YPQRNKK56/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EBQN27LSNTPL6KTM5YPQRNKK56/action/storage_attestation","attest_author":"https://pith.science/pith/EBQN27LSNTPL6KTM5YPQRNKK56/action/author_attestation","sign_citation":"https://pith.science/pith/EBQN27LSNTPL6KTM5YPQRNKK56/action/citation_signature","submit_replication":"https://pith.science/pith/EBQN27LSNTPL6KTM5YPQRNKK56/action/replication_record"}},"created_at":"2026-07-05T00:48:00.538964+00:00","updated_at":"2026-07-05T00:48:00.538964+00:00"}