{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:NGBX6DMHBXXKJKHC4WOI63Q5LL","short_pith_number":"pith:NGBX6DMH","schema_version":"1.0","canonical_sha256":"69837f0d870deea4a8e2e59c8f6e1d5af3333c78446a6d9a9dc489de3b0d5131","source":{"kind":"arxiv","id":"2208.10118","version":2},"attestation_state":"computed","paper":{"title":"$Z$ boson radiative decays to a $P$-wave quarkonium at NNLO and LL accuracy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"De-Shan Yang (UCAS), Wen-Long Sang (SWU), Yu-Dong Zhang (SWU)","submitted_at":"2022-08-22T07:42:27Z","abstract_excerpt":"In this work, we study the radiative decay of $Z$ boson to a $P$-wave quarkonium $H$ in association with a photon, where $H$ can be $\\chi_{QJ}$, $h_Q$ with $Q=c,b$ and $J=0,1,2$. The helicity amplitudes and the unpolarized decay widths are evaluated up to QCD next-to-next-to-leading order (NNLO) within the framework of nonrelativistic QCD (NRQCD). For the first time, we check the NRQCD factorization for $h_Q$ exclusive production at two-loop order. The leading logarithms (LL) of $m_Z^2/m_Q^2$ in the leading-twist short-distance coefficients, which may potentially ruin the perturbative converge"},"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":"2208.10118","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-22T07:42:27Z","cross_cats_sorted":[],"title_canon_sha256":"b895ad4dace2269853d87578a265a7d327eff5eeb05f6f4ddae249e6c80ff1bb","abstract_canon_sha256":"8026a32fc58d524b198a0ff6394cf1628c0e182a1aa90a1ee558c4e21a6c938e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:51:26.522776Z","signature_b64":"YQaCc+ZFxYRR88SqEga80Wqb3zZERW1dcf+WVps9cRdB4MyOAu3dvbCbab71uwWeaecMqa9T/opytzYAUXt8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69837f0d870deea4a8e2e59c8f6e1d5af3333c78446a6d9a9dc489de3b0d5131","last_reissued_at":"2026-07-05T05:51:26.522349Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:51:26.522349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$Z$ boson radiative decays to a $P$-wave quarkonium at NNLO and LL accuracy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"De-Shan Yang (UCAS), Wen-Long Sang (SWU), Yu-Dong Zhang (SWU)","submitted_at":"2022-08-22T07:42:27Z","abstract_excerpt":"In this work, we study the radiative decay of $Z$ boson to a $P$-wave quarkonium $H$ in association with a photon, where $H$ can be $\\chi_{QJ}$, $h_Q$ with $Q=c,b$ and $J=0,1,2$. The helicity amplitudes and the unpolarized decay widths are evaluated up to QCD next-to-next-to-leading order (NNLO) within the framework of nonrelativistic QCD (NRQCD). For the first time, we check the NRQCD factorization for $h_Q$ exclusive production at two-loop order. The leading logarithms (LL) of $m_Z^2/m_Q^2$ in the leading-twist short-distance coefficients, which may potentially ruin the perturbative converge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.10118","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/2208.10118/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":"2208.10118","created_at":"2026-07-05T05:51:26.522405+00:00"},{"alias_kind":"arxiv_version","alias_value":"2208.10118v2","created_at":"2026-07-05T05:51:26.522405+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.10118","created_at":"2026-07-05T05:51:26.522405+00:00"},{"alias_kind":"pith_short_12","alias_value":"NGBX6DMHBXXK","created_at":"2026-07-05T05:51:26.522405+00:00"},{"alias_kind":"pith_short_16","alias_value":"NGBX6DMHBXXKJKHC","created_at":"2026-07-05T05:51:26.522405+00:00"},{"alias_kind":"pith_short_8","alias_value":"NGBX6DMH","created_at":"2026-07-05T05:51:26.522405+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.09246","citing_title":"Rare $W \\to B_c + \\gamma$ decay up to the NNLO and NLL accuracy in QCD","ref_index":52,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL","json":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL.json","graph_json":"https://pith.science/api/pith-number/NGBX6DMHBXXKJKHC4WOI63Q5LL/graph.json","events_json":"https://pith.science/api/pith-number/NGBX6DMHBXXKJKHC4WOI63Q5LL/events.json","paper":"https://pith.science/paper/NGBX6DMH"},"agent_actions":{"view_html":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL","download_json":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL.json","view_paper":"https://pith.science/paper/NGBX6DMH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2208.10118&json=true","fetch_graph":"https://pith.science/api/pith-number/NGBX6DMHBXXKJKHC4WOI63Q5LL/graph.json","fetch_events":"https://pith.science/api/pith-number/NGBX6DMHBXXKJKHC4WOI63Q5LL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL/action/storage_attestation","attest_author":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL/action/author_attestation","sign_citation":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL/action/citation_signature","submit_replication":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL/action/replication_record"}},"created_at":"2026-07-05T05:51:26.522405+00:00","updated_at":"2026-07-05T05:51:26.522405+00:00"}