{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:FML5XDEX6MKNEPAOUCG7BQETLY","short_pith_number":"pith:FML5XDEX","schema_version":"1.0","canonical_sha256":"2b17db8c97f314d23c0ea08df0c0935e1b0a84d10383c383514a0412b9992434","source":{"kind":"arxiv","id":"2207.08831","version":3},"attestation_state":"computed","paper":{"title":"Two-Loop Infrared Renormalization with On-shell Methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Michael Stadlbauer, Pietro Baratella, Sara Maggio, Tobias Theil","submitted_at":"2022-07-18T18:00:01Z","abstract_excerpt":"Within the framework proposed by Caron-Huot and Wilhelm, we give a recipe for computing infrared anomalous dimensions purely on-shell, efficiently up to two loops in any massless theory. After introducing the general formalism and reviewing the one-loop recipe, we extract a practical formula that relates two-loop infrared anomalous dimensions to certain two- and three-particle phase space integrals with tree-level form factors of conserved operators. We then provide several examples of the use of the two-loop formula and comment on some of its formal aspects, especially the cancellation of 'on"},"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":"2207.08831","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-18T18:00:01Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"74366d122b2d35720ec2a45262393a661515cd715b1bc120711a9d26d8046772","abstract_canon_sha256":"8f8269df71d26a0f3a1c99a01fbcfdbba33887142a9044089227b706f98ee017"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:14:04.627902Z","signature_b64":"RONyvKW1mPfrhVEYx0MdWW7REDsGXtE8ix2Aj+H7mLIj7XJc5/nm34JbPCPMfgo5lJ66T4f1jVP0IeJDCZ2TAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b17db8c97f314d23c0ea08df0c0935e1b0a84d10383c383514a0412b9992434","last_reissued_at":"2026-07-05T06:14:04.627446Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:14:04.627446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two-Loop Infrared Renormalization with On-shell Methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Michael Stadlbauer, Pietro Baratella, Sara Maggio, Tobias Theil","submitted_at":"2022-07-18T18:00:01Z","abstract_excerpt":"Within the framework proposed by Caron-Huot and Wilhelm, we give a recipe for computing infrared anomalous dimensions purely on-shell, efficiently up to two loops in any massless theory. After introducing the general formalism and reviewing the one-loop recipe, we extract a practical formula that relates two-loop infrared anomalous dimensions to certain two- and three-particle phase space integrals with tree-level form factors of conserved operators. We then provide several examples of the use of the two-loop formula and comment on some of its formal aspects, especially the cancellation of 'on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.08831","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2207.08831/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":"2207.08831","created_at":"2026-07-05T06:14:04.627510+00:00"},{"alias_kind":"arxiv_version","alias_value":"2207.08831v3","created_at":"2026-07-05T06:14:04.627510+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.08831","created_at":"2026-07-05T06:14:04.627510+00:00"},{"alias_kind":"pith_short_12","alias_value":"FML5XDEX6MKN","created_at":"2026-07-05T06:14:04.627510+00:00"},{"alias_kind":"pith_short_16","alias_value":"FML5XDEX6MKNEPAO","created_at":"2026-07-05T06:14:04.627510+00:00"},{"alias_kind":"pith_short_8","alias_value":"FML5XDEX","created_at":"2026-07-05T06:14:04.627510+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2504.12855","citing_title":"Amplitudes and partial wave unitarity bounds","ref_index":22,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FML5XDEX6MKNEPAOUCG7BQETLY","json":"https://pith.science/pith/FML5XDEX6MKNEPAOUCG7BQETLY.json","graph_json":"https://pith.science/api/pith-number/FML5XDEX6MKNEPAOUCG7BQETLY/graph.json","events_json":"https://pith.science/api/pith-number/FML5XDEX6MKNEPAOUCG7BQETLY/events.json","paper":"https://pith.science/paper/FML5XDEX"},"agent_actions":{"view_html":"https://pith.science/pith/FML5XDEX6MKNEPAOUCG7BQETLY","download_json":"https://pith.science/pith/FML5XDEX6MKNEPAOUCG7BQETLY.json","view_paper":"https://pith.science/paper/FML5XDEX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2207.08831&json=true","fetch_graph":"https://pith.science/api/pith-number/FML5XDEX6MKNEPAOUCG7BQETLY/graph.json","fetch_events":"https://pith.science/api/pith-number/FML5XDEX6MKNEPAOUCG7BQETLY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FML5XDEX6MKNEPAOUCG7BQETLY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FML5XDEX6MKNEPAOUCG7BQETLY/action/storage_attestation","attest_author":"https://pith.science/pith/FML5XDEX6MKNEPAOUCG7BQETLY/action/author_attestation","sign_citation":"https://pith.science/pith/FML5XDEX6MKNEPAOUCG7BQETLY/action/citation_signature","submit_replication":"https://pith.science/pith/FML5XDEX6MKNEPAOUCG7BQETLY/action/replication_record"}},"created_at":"2026-07-05T06:14:04.627510+00:00","updated_at":"2026-07-05T06:14:04.627510+00:00"}