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- Title
Curing the high-energy perturbative instability of vector-quarkonium-photoproduction cross sections at order ααs3 with high-energy factorisation.
- Authors
Lansberg, Jean-Philippe; Nefedov, Maxim; Ozcelik, Melih A.
- Abstract
We cure the perturbative instability of the total-inclusive-photoproduction cross sections of vector S-wave quarkonia observed at high photon-proton-collision energies ( s γ p ) in Next-to-Leading Order (NLO) Collinear-Factorisation (CF) computations. This is achieved using High-Energy Factorisation (HEF) in the Doubly-Logarithmic Approximation (DLA), which is a subset of the Leading-Logarithmic Approximation (LLA) of HEF which resums higher-order QCD corrections proportional to α s n ln n - 1 (s ^ / M 2) in the Regge limit s ^ ≫ M 2 with M 2 being the quarkonium mass and s ^ is the squared partonic-center-of-mass energy. Such a DLA is strictly consistent with the NLO and NNLO DGLAP evolutions of the parton distribution functions. By improving the treatment of the large- s ^ asymptotics of the CF coefficient function, the resummation cures the unphysical results of the NLO CF calculation. The matching is directly performed in s ^ space using the Inverse-Error Weighting matching procedure which avoids any possible double counting. The obtained cross sections are in good agreement with data. In addition, the scale-variation uncertainty of the matched result is significantly reduced compared to the LO results. Our calculations also yield closed-form analytic limits for s ^ ≫ M 2 of the NLO partonic CF and numerical limits for contributions to those at NNLO scaling like α s 2 ln (s ^ / M 2) .
- Subjects
FACTORIZATION; DISTRIBUTION (Probability theory); QUANTUM chromodynamics; SHEAR waves; PROTON-proton interactions; PARTONS
- Publication
European Physical Journal C -- Particles & Fields, 2024, Vol 84, Issue 4, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-024-12588-x