{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NGBX6DMHBXXKJKHC4WOI63Q5LL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8026a32fc58d524b198a0ff6394cf1628c0e182a1aa90a1ee558c4e21a6c938e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-22T07:42:27Z","title_canon_sha256":"b895ad4dace2269853d87578a265a7d327eff5eeb05f6f4ddae249e6c80ff1bb"},"schema_version":"1.0","source":{"id":"2208.10118","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.10118","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"arxiv_version","alias_value":"2208.10118v2","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.10118","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"pith_short_12","alias_value":"NGBX6DMHBXXK","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"pith_short_16","alias_value":"NGBX6DMHBXXKJKHC","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"pith_short_8","alias_value":"NGBX6DMH","created_at":"2026-07-05T05:51:26Z"}],"graph_snapshots":[{"event_id":"sha256:4d6e094851b35272bda31623660e6cbc50901bd60165c0d8687f7f3b156e8511","target":"graph","created_at":"2026-07-05T05:51:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2208.10118/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"De-Shan Yang (UCAS), Wen-Long Sang (SWU), Yu-Dong Zhang (SWU)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-22T07:42:27Z","title":"$Z$ boson radiative decays to a $P$-wave quarkonium at NNLO and LL accuracy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.10118","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:99d715de583a38c2f20e8fac245f5ccc478ca0ea1a9c9a9801217dd91e174427","target":"record","created_at":"2026-07-05T05:51:26Z","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":"8026a32fc58d524b198a0ff6394cf1628c0e182a1aa90a1ee558c4e21a6c938e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-22T07:42:27Z","title_canon_sha256":"b895ad4dace2269853d87578a265a7d327eff5eeb05f6f4ddae249e6c80ff1bb"},"schema_version":"1.0","source":{"id":"2208.10118","kind":"arxiv","version":2}},"canonical_sha256":"69837f0d870deea4a8e2e59c8f6e1d5af3333c78446a6d9a9dc489de3b0d5131","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69837f0d870deea4a8e2e59c8f6e1d5af3333c78446a6d9a9dc489de3b0d5131","first_computed_at":"2026-07-05T05:51:26.522349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:51:26.522349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YQaCc+ZFxYRR88SqEga80Wqb3zZERW1dcf+WVps9cRdB4MyOAu3dvbCbab71uwWeaecMqa9T/opytzYAUXt8Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:51:26.522776Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.10118","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99d715de583a38c2f20e8fac245f5ccc478ca0ea1a9c9a9801217dd91e174427","sha256:4d6e094851b35272bda31623660e6cbc50901bd60165c0d8687f7f3b156e8511"],"state_sha256":"91a1b322d7ab2ab4cd7dd669694d3841958f213a09bf614653b2dcbb3353dd42"}