{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:TX3IQ6EMSOLJ45HK7ZW2J3WNUU","short_pith_number":"pith:TX3IQ6EM","schema_version":"1.0","canonical_sha256":"9df688788c93969e74eafe6da4eecda53e7d94367fc278d8349a6ba7bf8dd061","source":{"kind":"arxiv","id":"hep-ph/9910332","version":2},"attestation_state":"computed","paper":{"title":"Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops","license":"","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"A. Retey, K. G. Chetyrkin","submitted_at":"1999-10-13T19:42:27Z","abstract_excerpt":"We derive explicit transformation formulae relating the renormalized quark mass and field as defined in the MS-bar scheme with the corresponding quantities defined in any other scheme. By analytically computing the three-loop quark propagator in the high-energy limit (that is keeping only massless terms and terms of first order in the quark mass) we find the NNNLO conversion factors transforming the MS-bar quark mass and the renormalized quark field to those defined in a ``Regularization Invariant'' (RI) scheme which is more suitable for lattice QCD calculations. The NNNLO contribution in the "},"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/9910332","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-13T19:42:27Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"1ff47ccd9bdebd91c14bc84a2f4571b46c2ae8ad9669a6a9bbf420c29001e528","abstract_canon_sha256":"f9d71762e543a98f59556fec15aae6caea4b76d42c454d27c0723bb45eded50b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:25:24.886202Z","signature_b64":"TQ16fIRpCoYLljJe/NExN4dpLqYe3cZgVCCOPtzi11G043xx0U0aaZyWZs/b2IkX1uhc6s0iqZ6EjqXXFXGbAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9df688788c93969e74eafe6da4eecda53e7d94367fc278d8349a6ba7bf8dd061","last_reissued_at":"2026-07-04T17:25:24.885785Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:25:24.885785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops","license":"","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"A. Retey, K. G. Chetyrkin","submitted_at":"1999-10-13T19:42:27Z","abstract_excerpt":"We derive explicit transformation formulae relating the renormalized quark mass and field as defined in the MS-bar scheme with the corresponding quantities defined in any other scheme. By analytically computing the three-loop quark propagator in the high-energy limit (that is keeping only massless terms and terms of first order in the quark mass) we find the NNNLO conversion factors transforming the MS-bar quark mass and the renormalized quark field to those defined in a ``Regularization Invariant'' (RI) scheme which is more suitable for lattice QCD calculations. The NNNLO contribution in the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9910332","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/hep-ph/9910332/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":"hep-ph/9910332","created_at":"2026-07-04T17:25:24.885851+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9910332v2","created_at":"2026-07-04T17:25:24.885851+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9910332","created_at":"2026-07-04T17:25:24.885851+00:00"},{"alias_kind":"pith_short_12","alias_value":"TX3IQ6EMSOLJ","created_at":"2026-07-04T17:25:24.885851+00:00"},{"alias_kind":"pith_short_16","alias_value":"TX3IQ6EMSOLJ45HK","created_at":"2026-07-04T17:25:24.885851+00:00"},{"alias_kind":"pith_short_8","alias_value":"TX3IQ6EM","created_at":"2026-07-04T17:25:24.885851+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2606.04729","citing_title":"A note on momentum subtraction schemes for quark bilinears and semileptonic operators","ref_index":10,"is_internal_anchor":true},{"citing_arxiv_id":"2607.00564","citing_title":"Isospin-breaking effects in inclusive hadronic $\\tau$ data for the muon $(g-2)$ from first principles","ref_index":139,"is_internal_anchor":true},{"citing_arxiv_id":"2606.28086","citing_title":"The QCD phase diagram for three-flavor M\\\"obius domain-wall fermions","ref_index":78,"is_internal_anchor":true},{"citing_arxiv_id":"2411.04268","citing_title":"FLAG Review 2024","ref_index":242,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TX3IQ6EMSOLJ45HK7ZW2J3WNUU","json":"https://pith.science/pith/TX3IQ6EMSOLJ45HK7ZW2J3WNUU.json","graph_json":"https://pith.science/api/pith-number/TX3IQ6EMSOLJ45HK7ZW2J3WNUU/graph.json","events_json":"https://pith.science/api/pith-number/TX3IQ6EMSOLJ45HK7ZW2J3WNUU/events.json","paper":"https://pith.science/paper/TX3IQ6EM"},"agent_actions":{"view_html":"https://pith.science/pith/TX3IQ6EMSOLJ45HK7ZW2J3WNUU","download_json":"https://pith.science/pith/TX3IQ6EMSOLJ45HK7ZW2J3WNUU.json","view_paper":"https://pith.science/paper/TX3IQ6EM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9910332&json=true","fetch_graph":"https://pith.science/api/pith-number/TX3IQ6EMSOLJ45HK7ZW2J3WNUU/graph.json","fetch_events":"https://pith.science/api/pith-number/TX3IQ6EMSOLJ45HK7ZW2J3WNUU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TX3IQ6EMSOLJ45HK7ZW2J3WNUU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TX3IQ6EMSOLJ45HK7ZW2J3WNUU/action/storage_attestation","attest_author":"https://pith.science/pith/TX3IQ6EMSOLJ45HK7ZW2J3WNUU/action/author_attestation","sign_citation":"https://pith.science/pith/TX3IQ6EMSOLJ45HK7ZW2J3WNUU/action/citation_signature","submit_replication":"https://pith.science/pith/TX3IQ6EMSOLJ45HK7ZW2J3WNUU/action/replication_record"}},"created_at":"2026-07-04T17:25:24.885851+00:00","updated_at":"2026-07-04T17:25:24.885851+00:00"}