{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:5HOTXULUHGR3KLZHDXA4ZF4FQ7","short_pith_number":"pith:5HOTXULU","schema_version":"1.0","canonical_sha256":"e9dd3bd17439a3b52f271dc1cc978587cc98f2fc9b1411a499ac2dbd1bd92aac","source":{"kind":"arxiv","id":"2302.06411","version":2},"attestation_state":"computed","paper":{"title":"The $f_\\varrho / m_\\varrho$ and $f_\\pi / m_\\varrho$ ratios and the conformal window","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Daniel Nogradi, Hee Sok Chung","submitted_at":"2023-02-13T14:49:36Z","abstract_excerpt":"The $f_\\varrho / m_\\varrho$ ratio is calculated at N$^3$LO order within perturbative (p)NRQCD with $N_f$ flavors of mass degenerate fermions. The massless limit of the ratio is expanded \\'a la Banks-Zaks in $\\epsilon = 16.5 - N_f$ leading to reliable predictions close to the upper end of the conformal window. The comparison of the NNLO and N$^3$LO results indicate that the Banks-Zaks expansion may be reliable down to twelve flavors. Previous lattice calculations combined with the KSRF relations provide us with the same ratio for the range $2 \\leq N_f \\leq 10$. Assuming a monotonous dependence "},"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":"2302.06411","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-02-13T14:49:36Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"71a760beb6fa34f05efd9ea4cc3437d9ef46e10fede4967b9455e8aa96dc970f","abstract_canon_sha256":"0df2b48dfd390f85c427ff686c4c405083c21f92d5a7358ad14eb27b57f8d2db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:09:48.448198Z","signature_b64":"dRc4orHf5sVtzDwiaC11YvV9g8Jho7hghRw+gm2cYErQ58v2Dik6OaIVu2XK2TFJebKpv9NJ9AQ4AFBzXXi8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9dd3bd17439a3b52f271dc1cc978587cc98f2fc9b1411a499ac2dbd1bd92aac","last_reissued_at":"2026-07-05T06:09:48.447774Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:09:48.447774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The $f_\\varrho / m_\\varrho$ and $f_\\pi / m_\\varrho$ ratios and the conformal window","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Daniel Nogradi, Hee Sok Chung","submitted_at":"2023-02-13T14:49:36Z","abstract_excerpt":"The $f_\\varrho / m_\\varrho$ ratio is calculated at N$^3$LO order within perturbative (p)NRQCD with $N_f$ flavors of mass degenerate fermions. The massless limit of the ratio is expanded \\'a la Banks-Zaks in $\\epsilon = 16.5 - N_f$ leading to reliable predictions close to the upper end of the conformal window. The comparison of the NNLO and N$^3$LO results indicate that the Banks-Zaks expansion may be reliable down to twelve flavors. Previous lattice calculations combined with the KSRF relations provide us with the same ratio for the range $2 \\leq N_f \\leq 10$. Assuming a monotonous dependence "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.06411","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/2302.06411/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":"2302.06411","created_at":"2026-07-05T06:09:48.447835+00:00"},{"alias_kind":"arxiv_version","alias_value":"2302.06411v2","created_at":"2026-07-05T06:09:48.447835+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.06411","created_at":"2026-07-05T06:09:48.447835+00:00"},{"alias_kind":"pith_short_12","alias_value":"5HOTXULUHGR3","created_at":"2026-07-05T06:09:48.447835+00:00"},{"alias_kind":"pith_short_16","alias_value":"5HOTXULUHGR3KLZH","created_at":"2026-07-05T06:09:48.447835+00:00"},{"alias_kind":"pith_short_8","alias_value":"5HOTXULU","created_at":"2026-07-05T06:09:48.447835+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5HOTXULUHGR3KLZHDXA4ZF4FQ7","json":"https://pith.science/pith/5HOTXULUHGR3KLZHDXA4ZF4FQ7.json","graph_json":"https://pith.science/api/pith-number/5HOTXULUHGR3KLZHDXA4ZF4FQ7/graph.json","events_json":"https://pith.science/api/pith-number/5HOTXULUHGR3KLZHDXA4ZF4FQ7/events.json","paper":"https://pith.science/paper/5HOTXULU"},"agent_actions":{"view_html":"https://pith.science/pith/5HOTXULUHGR3KLZHDXA4ZF4FQ7","download_json":"https://pith.science/pith/5HOTXULUHGR3KLZHDXA4ZF4FQ7.json","view_paper":"https://pith.science/paper/5HOTXULU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2302.06411&json=true","fetch_graph":"https://pith.science/api/pith-number/5HOTXULUHGR3KLZHDXA4ZF4FQ7/graph.json","fetch_events":"https://pith.science/api/pith-number/5HOTXULUHGR3KLZHDXA4ZF4FQ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5HOTXULUHGR3KLZHDXA4ZF4FQ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5HOTXULUHGR3KLZHDXA4ZF4FQ7/action/storage_attestation","attest_author":"https://pith.science/pith/5HOTXULUHGR3KLZHDXA4ZF4FQ7/action/author_attestation","sign_citation":"https://pith.science/pith/5HOTXULUHGR3KLZHDXA4ZF4FQ7/action/citation_signature","submit_replication":"https://pith.science/pith/5HOTXULUHGR3KLZHDXA4ZF4FQ7/action/replication_record"}},"created_at":"2026-07-05T06:09:48.447835+00:00","updated_at":"2026-07-05T06:09:48.447835+00:00"}