{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:SXFK7CKE5AQVH7M6R363GJVPFN","short_pith_number":"pith:SXFK7CKE","schema_version":"1.0","canonical_sha256":"95caaf8944e82153fd9e8efdb326af2b42725867a3e655cea2aeb84c37e58c7a","source":{"kind":"arxiv","id":"2312.11291","version":1},"attestation_state":"computed","paper":{"title":"Full three-loop Renormalisation of an abelian chiral Gauge Theory with non-anticommuting $\\gamma_5$ in the BMHV Scheme","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Dominik St\\\"ockinger, Matthias Wei{\\ss}wange","submitted_at":"2023-12-18T15:34:27Z","abstract_excerpt":"In this work we present a complete three-loop renormalisation of an abelian chiral gauge theory within the Breitenlohner-Maison/'t Hooft-Veltman (BMHV) scheme of dimensional regularisation (DReg). In this scheme the $\\gamma_5$-matrix appearing in gauge interactions is a non-anticommuting object, leading to a breaking of gauge and BRST invariance. Employing an efficient method based on the quantum action principle, we obtain the complete three-loop counterterm action which serves both to render the theory finite and to restore gauge and BRST invariance. The UV singular counterterms involve not "},"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":"2312.11291","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-12-18T15:34:27Z","cross_cats_sorted":[],"title_canon_sha256":"cb932ee768cec21fe78b0777b0ec3f808db92c474471a9bace4105b4b00074b1","abstract_canon_sha256":"4df58625af90e3ad0ab735b44f15b59a92131eaba6bcf1072b76c743d5cc8928"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:25:30.916564Z","signature_b64":"JHOvZjl4O1m66z8BvFQo3QS481wLxEuz1xNnyLdE7Zrbg0sPmFv/oHDrVByK/ksrDNICDTgwJ3G3/8EYKafzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95caaf8944e82153fd9e8efdb326af2b42725867a3e655cea2aeb84c37e58c7a","last_reissued_at":"2026-07-05T07:25:30.915645Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:25:30.915645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Full three-loop Renormalisation of an abelian chiral Gauge Theory with non-anticommuting $\\gamma_5$ in the BMHV Scheme","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Dominik St\\\"ockinger, Matthias Wei{\\ss}wange","submitted_at":"2023-12-18T15:34:27Z","abstract_excerpt":"In this work we present a complete three-loop renormalisation of an abelian chiral gauge theory within the Breitenlohner-Maison/'t Hooft-Veltman (BMHV) scheme of dimensional regularisation (DReg). In this scheme the $\\gamma_5$-matrix appearing in gauge interactions is a non-anticommuting object, leading to a breaking of gauge and BRST invariance. Employing an efficient method based on the quantum action principle, we obtain the complete three-loop counterterm action which serves both to render the theory finite and to restore gauge and BRST invariance. The UV singular counterterms involve not "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.11291","kind":"arxiv","version":1},"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/2312.11291/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":"2312.11291","created_at":"2026-07-05T07:25:30.915702+00:00"},{"alias_kind":"arxiv_version","alias_value":"2312.11291v1","created_at":"2026-07-05T07:25:30.915702+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.11291","created_at":"2026-07-05T07:25:30.915702+00:00"},{"alias_kind":"pith_short_12","alias_value":"SXFK7CKE5AQV","created_at":"2026-07-05T07:25:30.915702+00:00"},{"alias_kind":"pith_short_16","alias_value":"SXFK7CKE5AQVH7M6","created_at":"2026-07-05T07:25:30.915702+00:00"},{"alias_kind":"pith_short_8","alias_value":"SXFK7CKE","created_at":"2026-07-05T07:25:30.915702+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.12253","citing_title":"Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $\\gamma_5$ in the BMHV Scheme","ref_index":33,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SXFK7CKE5AQVH7M6R363GJVPFN","json":"https://pith.science/pith/SXFK7CKE5AQVH7M6R363GJVPFN.json","graph_json":"https://pith.science/api/pith-number/SXFK7CKE5AQVH7M6R363GJVPFN/graph.json","events_json":"https://pith.science/api/pith-number/SXFK7CKE5AQVH7M6R363GJVPFN/events.json","paper":"https://pith.science/paper/SXFK7CKE"},"agent_actions":{"view_html":"https://pith.science/pith/SXFK7CKE5AQVH7M6R363GJVPFN","download_json":"https://pith.science/pith/SXFK7CKE5AQVH7M6R363GJVPFN.json","view_paper":"https://pith.science/paper/SXFK7CKE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2312.11291&json=true","fetch_graph":"https://pith.science/api/pith-number/SXFK7CKE5AQVH7M6R363GJVPFN/graph.json","fetch_events":"https://pith.science/api/pith-number/SXFK7CKE5AQVH7M6R363GJVPFN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SXFK7CKE5AQVH7M6R363GJVPFN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SXFK7CKE5AQVH7M6R363GJVPFN/action/storage_attestation","attest_author":"https://pith.science/pith/SXFK7CKE5AQVH7M6R363GJVPFN/action/author_attestation","sign_citation":"https://pith.science/pith/SXFK7CKE5AQVH7M6R363GJVPFN/action/citation_signature","submit_replication":"https://pith.science/pith/SXFK7CKE5AQVH7M6R363GJVPFN/action/replication_record"}},"created_at":"2026-07-05T07:25:30.915702+00:00","updated_at":"2026-07-05T07:25:30.915702+00:00"}