{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:PIXOUOAAATTLV6R4SJAYVJKSEC","short_pith_number":"pith:PIXOUOAA","schema_version":"1.0","canonical_sha256":"7a2eea380004e6bafa3c92418aa55220869d9cf20874a3504b23601466635dae","source":{"kind":"arxiv","id":"2005.07129","version":3},"attestation_state":"computed","paper":{"title":"Renormalization of Higher-Dimensional Operators from On-shell Amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Alex Pomarol, Clara Fernandez, Pietro Baratella","submitted_at":"2020-05-14T16:53:28Z","abstract_excerpt":"On-shell amplitude methods allow to derive one-loop renormalization effects from just tree-level amplitudes, with no need of loop calculations. We derive a simple formula to obtain the anomalous dimensions of higher-dimensional operators from a product of tree-level amplitudes. We show how this works for dimension-6 operators of the Standard Model, providing explicit examples of the simplicity, elegance and efficiency of the method. Many anomalous dimensions can be calculated from the same Standard Model tree-level amplitude, displaying the attractive recycling aspect of the on-shell method. W"},"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":"2005.07129","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-05-14T16:53:28Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"713e954e071cb5a437bcf17301a434744fce0f0d82a896827eba3ee3be9e28a3","abstract_canon_sha256":"550a074fd7bf39a5774f2c5b697c8d680cd1e0de378998b2b6fae0eff48328be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:37:03.629639Z","signature_b64":"yGmWUBgj0zJnPE+ElQ8+7cvH5YjP1zueZnldY6QVPBvwQ9swbBSWPE4oinGo/1oaB0oMvVI/gpqOa8b0VejXBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a2eea380004e6bafa3c92418aa55220869d9cf20874a3504b23601466635dae","last_reissued_at":"2026-07-05T02:37:03.629225Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:37:03.629225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalization of Higher-Dimensional Operators from On-shell Amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Alex Pomarol, Clara Fernandez, Pietro Baratella","submitted_at":"2020-05-14T16:53:28Z","abstract_excerpt":"On-shell amplitude methods allow to derive one-loop renormalization effects from just tree-level amplitudes, with no need of loop calculations. We derive a simple formula to obtain the anomalous dimensions of higher-dimensional operators from a product of tree-level amplitudes. We show how this works for dimension-6 operators of the Standard Model, providing explicit examples of the simplicity, elegance and efficiency of the method. Many anomalous dimensions can be calculated from the same Standard Model tree-level amplitude, displaying the attractive recycling aspect of the on-shell method. W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.07129","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/2005.07129/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":"2005.07129","created_at":"2026-07-05T02:37:03.629282+00:00"},{"alias_kind":"arxiv_version","alias_value":"2005.07129v3","created_at":"2026-07-05T02:37:03.629282+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.07129","created_at":"2026-07-05T02:37:03.629282+00:00"},{"alias_kind":"pith_short_12","alias_value":"PIXOUOAAATTL","created_at":"2026-07-05T02:37:03.629282+00:00"},{"alias_kind":"pith_short_16","alias_value":"PIXOUOAAATTLV6R4","created_at":"2026-07-05T02:37:03.629282+00:00"},{"alias_kind":"pith_short_8","alias_value":"PIXOUOAA","created_at":"2026-07-05T02:37:03.629282+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2504.12855","citing_title":"Amplitudes and partial wave unitarity bounds","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2603.15755","citing_title":"Negative running of gravitational positivity","ref_index":60,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22608","citing_title":"Recent Developments in SMEFT: Theory, Tools, and Phenomenology","ref_index":60,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PIXOUOAAATTLV6R4SJAYVJKSEC","json":"https://pith.science/pith/PIXOUOAAATTLV6R4SJAYVJKSEC.json","graph_json":"https://pith.science/api/pith-number/PIXOUOAAATTLV6R4SJAYVJKSEC/graph.json","events_json":"https://pith.science/api/pith-number/PIXOUOAAATTLV6R4SJAYVJKSEC/events.json","paper":"https://pith.science/paper/PIXOUOAA"},"agent_actions":{"view_html":"https://pith.science/pith/PIXOUOAAATTLV6R4SJAYVJKSEC","download_json":"https://pith.science/pith/PIXOUOAAATTLV6R4SJAYVJKSEC.json","view_paper":"https://pith.science/paper/PIXOUOAA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2005.07129&json=true","fetch_graph":"https://pith.science/api/pith-number/PIXOUOAAATTLV6R4SJAYVJKSEC/graph.json","fetch_events":"https://pith.science/api/pith-number/PIXOUOAAATTLV6R4SJAYVJKSEC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PIXOUOAAATTLV6R4SJAYVJKSEC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PIXOUOAAATTLV6R4SJAYVJKSEC/action/storage_attestation","attest_author":"https://pith.science/pith/PIXOUOAAATTLV6R4SJAYVJKSEC/action/author_attestation","sign_citation":"https://pith.science/pith/PIXOUOAAATTLV6R4SJAYVJKSEC/action/citation_signature","submit_replication":"https://pith.science/pith/PIXOUOAAATTLV6R4SJAYVJKSEC/action/replication_record"}},"created_at":"2026-07-05T02:37:03.629282+00:00","updated_at":"2026-07-05T02:37:03.629282+00:00"}