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Combined with the recently calculated two-loop Hamiltonian in the non-annihilation channel, this completes the full two-loop quarkonium Hamiltonian.","authors_text":"Takahiro Ueda (Juntendo U.), Yukinari Sumino (Tohoku U.)","cross_cats":[],"headline":"The two-loop quarkonium Hamiltonian in the annihilation channel is now calculated in potential-NRQCD.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-04-25T13:40:19Z","title":"Two-loop quarkonium Hamiltonian in annihilation channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.23303","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-08T07:45:43.180159Z","id":"558833ce-606d-4382-8ad7-5a5834041dfb","model_set":{"reader":"grok-4.3"},"one_line_summary":"Two-loop quarkonium Hamiltonian in the annihilation channel is calculated in potential-NRQCD, agreeing with prior NRQCD four-quark operator results for SU(N) and generalized to other gauge groups.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"The two-loop quarkonium Hamiltonian in the annihilation channel is now calculated in potential-NRQCD.","strongest_claim":"We calculate the two-loop quarkonium Hamiltonian in the annihilation channel within the framework of potential-NRQCD effective field theory. 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Combined with the recently calculated two-loop Hamiltonian in the non-annihilation channel, this completes the full two-loop quarkonium Hamiltonian.","weakest_assumption":"The matching and perturbative expansion procedures in potential-NRQCD are valid and correctly capture the two-loop contributions in the annihilation channel without missing terms or inconsistencies in the color structure."}},"verdict_id":"558833ce-606d-4382-8ad7-5a5834041dfb"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:89678b1e3d3f1ab46b07327c974e2088a5e1a4d6a50f87d4d960d4c851e22958","target":"record","created_at":"2026-06-05T01:14:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"35639d2b5eebefe56fcdd7dcdff1138e0ef1e4a7f196d56691f108695ed49c49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-04-25T13:40:19Z","title_canon_sha256":"c397bf044b05b73281d12517176027e881b8bb165c067a36e05e73e5491f90c7"},"schema_version":"1.0","source":{"id":"2604.23303","kind":"arxiv","version":2}},"canonical_sha256":"608caffeebacbf6befefd5d6e99c75962b7671a3f24965c0a99e9143b8ecf37f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"608caffeebacbf6befefd5d6e99c75962b7671a3f24965c0a99e9143b8ecf37f","first_computed_at":"2026-06-05T01:14:39.389093Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:14:39.389093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"moTR+G9YDeds4i0OL9F1DOiiIxQXl7gl/3xmtm675v6Oc5+5q/A9HbD6KZJlgxeZorrsGGZuvIBtgfIPJ7o3Cg==","signature_status":"signed_v1","signed_at":"2026-06-05T01:14:39.389838Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.23303","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86040bc736618d377c66b8a69693da5f5d4e86edc532e8d8c847fe7d39bb153e","sha256:89678b1e3d3f1ab46b07327c974e2088a5e1a4d6a50f87d4d960d4c851e22958","sha256:02f98c9348a2e221dd8578bad31d6956d9d14be271d162617ea90c8dcf20b500"],"state_sha256":"fae049542044f5c384eae749f516a6df5c5b3e27571f7aa8df744aeffdb541cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VcR7mnnIoRy2oJyPeCEQqYuN8/g6DvB/yILg3xn/xaVSXt5TNLIog+/qiww6Dtid0xOH8UCOh0PV8lF8IEzCAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T11:49:15.933611Z","bundle_sha256":"82f598771eacd750e1f31c2e94b05fcdd777e9f5f93c0ee6f4cb9ebdb5af41d6"}}