{"paper":{"title":"Target-Mass Corrections in the OPE Sum-Rule Approach to Quarkonium-Nucleon Interactions with Global-Fit PDFs: an $x$-Resolved Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Target-mass corrections in quarkonium-nucleon OPE sum rules depend on both kinematic weights and PDF x-support redistribution","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Arkadiy I. Syamtomov","submitted_at":"2026-04-22T06:06:05Z","abstract_excerpt":"We present a controlled $x$-resolved numerical diagnosis of target-mass corrections (TMC) in the operator-product-expansion sum-rule approach to inelastic quarkonium--nucleon interactions, using global-fit gluon PDFs ABMP16, MSHT20, CT18 and NNPDF4.0. Applying the known hypergeometric TMC weight to native LHAPDF grids, we decompose the Mellin-moment suppression into finite $x$-windows and identify which parts of the gluon distribution drive the near-threshold cross-section reduction. PDF uncertainties are propagated to the integrated ratios $R_n$ and to the energy-dependent ratio $R_{\\rm TMC}("},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show that the magnitude of the TMC effect is controlled not only by the universal kinematic weight appearing in the modified sum rules, but also by the way in which a given global-fit PDF redistributes the support of the moments between the small-, intermediate- and large-x regions. The cross section is computed directly via the partonic convolution integral, bypassing the two-parameter threshold ansatz.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The validity of the OPE sum-rule approach for inelastic quarkonium-nucleon interactions and the accuracy of the global-fit PDFs at the relevant scales and x regions; additionally, that the direct convolution method correctly captures the physics without introducing new approximations.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"An x-resolved analysis shows that target-mass corrections in quarkonium-nucleon sum rules depend on both kinematic factors and how modern PDFs distribute gluon support across x regions, with cross sections computed via direct convolution rather than a threshold ansatz.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Target-mass corrections in quarkonium-nucleon OPE sum rules depend on both kinematic weights and PDF x-support redistribution","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"269a3a5ff72743921a7f097989f69d3100c34c0c00911f96bda080afb3496487"},"source":{"id":"2604.20217","kind":"arxiv","version":3},"verdict":{"id":"04c3b514-3784-4d04-8715-0dbec7ec3977","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T00:38:55.463711Z","strongest_claim":"We show that the magnitude of the TMC effect is controlled not only by the universal kinematic weight appearing in the modified sum rules, but also by the way in which a given global-fit PDF redistributes the support of the moments between the small-, intermediate- and large-x regions. The cross section is computed directly via the partonic convolution integral, bypassing the two-parameter threshold ansatz.","one_line_summary":"An x-resolved analysis shows that target-mass corrections in quarkonium-nucleon sum rules depend on both kinematic factors and how modern PDFs distribute gluon support across x regions, with cross sections computed via direct convolution rather than a threshold ansatz.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The validity of the OPE sum-rule approach for inelastic quarkonium-nucleon interactions and the accuracy of the global-fit PDFs at the relevant scales and x regions; additionally, that the direct convolution method correctly captures the physics without introducing new approximations.","pith_extraction_headline":"Target-mass corrections in quarkonium-nucleon OPE sum rules depend on both kinematic weights and PDF x-support redistribution"},"integrity":{"clean":false,"summary":{"advisory":1,"critical":0,"by_detector":{"doi_compliance":{"total":1,"advisory":1,"critical":0,"informational":0}},"informational":0},"endpoint":"/pith/2604.20217/integrity.json","findings":[{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1016/S0370-2693(96) was visible in the surrounding text but could not be confirmed against doi.org as printed.","detector":"doi_compliance","severity":"advisory","ref_index":4,"audited_at":"2026-05-20T02:12:37.879945Z","detected_doi":"10.1016/S0370-2693(96","finding_type":"recoverable_identifier","verdict_class":"incontrovertible","detected_arxiv_id":null}],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T15:34:28.656184Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-20T02:12:37.879945Z","status":"completed","version":"1.0.0","findings_count":1}],"snapshot_sha256":"2d65966cd81be859e3dca708ba3033effdc1bd9c392ef45d56452c77eb51e178"},"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"}