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Numerically we found that (a) the pQCD predictions for the CP-averaged branching ratios are $Br(B_{s}\\to\\rho^0 \\eta)\\approx 0.07 \\times 10^{-6}$, $Br(B_{s}\\to\\rho^{0}\\eta^\\prime) \\approx 0.10 \\times 10^{-6}$, $Br(B_{s} \\to\\omega\\eta) \\approx 0.02 \\times 10^{-6}$, $Br(B_{s} \\to\\omega\\eta^\\prime) \\approx 0.13 \\times 10^{-6}$, $Br(B_{s} \\to\\phi\\eta) \\approx 2.7 \\times 10^{-5}$ and $Br(B_{s} \\to\\phi\\eta^\\pr"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-ph/0701146","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-01-18T14:24:10Z","cross_cats_sorted":[],"title_canon_sha256":"3137da355864cea0551bfb51b0cf01362d82463fab4478e30bab5495c43fc4e7","abstract_canon_sha256":"32cf5159384aeb30dd7b2e7084d5ed7e6cc8b7775abc56a26c63d077cf73197c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:58:48.886928Z","signature_b64":"XDSnLg9I2lf8BwDAdz2J99rCGwV4A1bRY0GcuNX+LyfXItA/1742Je25sXVDGJ/qQFwHoyP4mko7/WniiAnxAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4a334b309a0a54b7213a78bb6b6e5bddc1861eaecb14db46803ffcd248321c5","last_reissued_at":"2026-07-04T14:58:48.886579Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:58:48.886579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$B_{s} \\to (\\rho, \\omega, \\phi) \\eta^{(\\prime)}$ Decays in the Perturbative QCD Approach","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Dong-qin Guo, Xin-fen Chen, Zhen-jun Xiao","submitted_at":"2007-01-18T14:24:10Z","abstract_excerpt":"In this paper, we calculate the branching ratios and CP-violating asymmetries for $B_{s} \\to (\\rho^0,\\omega, \\phi) \\eta^{(\\prime)}$ decays in the perturbative QCD (pQCD) factorization approach. Numerically we found that (a) the pQCD predictions for the CP-averaged branching ratios are $Br(B_{s}\\to\\rho^0 \\eta)\\approx 0.07 \\times 10^{-6}$, $Br(B_{s}\\to\\rho^{0}\\eta^\\prime) \\approx 0.10 \\times 10^{-6}$, $Br(B_{s} \\to\\omega\\eta) \\approx 0.02 \\times 10^{-6}$, $Br(B_{s} \\to\\omega\\eta^\\prime) \\approx 0.13 \\times 10^{-6}$, $Br(B_{s} \\to\\phi\\eta) \\approx 2.7 \\times 10^{-5}$ and $Br(B_{s} \\to\\phi\\eta^\\pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0701146","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/hep-ph/0701146/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":"hep-ph/0701146","created_at":"2026-07-04T14:58:48.886640+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0701146v1","created_at":"2026-07-04T14:58:48.886640+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0701146","created_at":"2026-07-04T14:58:48.886640+00:00"},{"alias_kind":"pith_short_12","alias_value":"YSRTJMYJUCSU","created_at":"2026-07-04T14:58:48.886640+00:00"},{"alias_kind":"pith_short_16","alias_value":"YSRTJMYJUCSUW4QT","created_at":"2026-07-04T14:58:48.886640+00:00"},{"alias_kind":"pith_short_8","alias_value":"YSRTJMYJ","created_at":"2026-07-04T14:58:48.886640+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.07586","citing_title":"Evidence for the decay $B^0_s\\to\\phi\\eta'$","ref_index":6,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YSRTJMYJUCSUW4QTU6F3NNXFXX","json":"https://pith.science/pith/YSRTJMYJUCSUW4QTU6F3NNXFXX.json","graph_json":"https://pith.science/api/pith-number/YSRTJMYJUCSUW4QTU6F3NNXFXX/graph.json","events_json":"https://pith.science/api/pith-number/YSRTJMYJUCSUW4QTU6F3NNXFXX/events.json","paper":"https://pith.science/paper/YSRTJMYJ"},"agent_actions":{"view_html":"https://pith.science/pith/YSRTJMYJUCSUW4QTU6F3NNXFXX","download_json":"https://pith.science/pith/YSRTJMYJUCSUW4QTU6F3NNXFXX.json","view_paper":"https://pith.science/paper/YSRTJMYJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0701146&json=true","fetch_graph":"https://pith.science/api/pith-number/YSRTJMYJUCSUW4QTU6F3NNXFXX/graph.json","fetch_events":"https://pith.science/api/pith-number/YSRTJMYJUCSUW4QTU6F3NNXFXX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YSRTJMYJUCSUW4QTU6F3NNXFXX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YSRTJMYJUCSUW4QTU6F3NNXFXX/action/storage_attestation","attest_author":"https://pith.science/pith/YSRTJMYJUCSUW4QTU6F3NNXFXX/action/author_attestation","sign_citation":"https://pith.science/pith/YSRTJMYJUCSUW4QTU6F3NNXFXX/action/citation_signature","submit_replication":"https://pith.science/pith/YSRTJMYJUCSUW4QTU6F3NNXFXX/action/replication_record"}},"created_at":"2026-07-04T14:58:48.886640+00:00","updated_at":"2026-07-04T14:58:48.886640+00:00"}