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| Format: | Preprint |
| Published: |
2026
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| Online Access: | https://arxiv.org/abs/2604.20217 |
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| _version_ | 1866916048957079552 |
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| author | Syamtomov, Arkadiy I. |
| author_facet | Syamtomov, Arkadiy I. |
| contents | 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 $R_{\rm TMC}(\sqrt{s}\,)$; the factorisation-scale dependence and the sensitivity to the binding-energy parameter $ε_0$ are quantified explicitly. The cross section is computed via direct partonic convolution, bypassing the finite-moment threshold ansatz that produces unphysical exponents ($a\approx 8$-$11$ without and $28$-$32$ with TMC weights) with modern small-$x$-singular gluons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20217 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Target-Mass Corrections in the OPE Sum-Rule Approach to Quarkonium-Nucleon Interactions with Global-Fit PDFs: an $x$-Resolved Analysis Syamtomov, Arkadiy I. High Energy Physics - Phenomenology 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 $R_{\rm TMC}(\sqrt{s}\,)$; the factorisation-scale dependence and the sensitivity to the binding-energy parameter $ε_0$ are quantified explicitly. The cross section is computed via direct partonic convolution, bypassing the finite-moment threshold ansatz that produces unphysical exponents ($a\approx 8$-$11$ without and $28$-$32$ with TMC weights) with modern small-$x$-singular gluons. |
| title | Target-Mass Corrections in the OPE Sum-Rule Approach to Quarkonium-Nucleon Interactions with Global-Fit PDFs: an $x$-Resolved Analysis |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2604.20217 |