A consistent $\mathcal{O}(v^2)$ NRQCD description of decays and high-$P_T$ prompt production of charmonia
Year: 2026
Type: preprint
Abstract: We present a global determination of the six long-distance matrix elements (LDMEs) within non-relativistic QCD (NRQCD) appearing in the production of prompt $J/ψ$ up to $\mathcal{O}(v^2)$ using high-$P_T$ LHC data for direct and feed-down contributions from $χ_c$ and $ψ(2S)$. Using a leading-power fragmentation framework at NLO+NLL, we fit $ψ(2S)/J/ψ$ yield ratios from ATLAS and CMS and $ψ(2S)$ CMS polarization data at $\sqrt{s} = 13$ TeV, injecting one decay width per charmonium. The fit LDMEs provide excellent predictions of the CMS and ATLAS cross-section data up to $P_T=360$ GeV for the $J/ψ$, as well as the $J/ψ$ polarization data from CMS. The obtained excellent agreement with production and decay data demonstrates that $\mathcal{O}(v^2)$ NRQCD is sufficient to describe $J/ψ$, $ψ(2S)$, and $χ_c$ hadroproduction at large $P_T$.
Source: arXiv (Cornell University)
Institutions: Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris-Saclay, CEA Paris-Saclay, Institut de Recherche sur les Lois Fondamentales de l'Univers, Centre National de la Recherche Scientifique, Laboratoire de Physique des 2 Infinis Irène Joliot-Curie, University College Dublin
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: Idex Paris-Saclay, G3408140573, Boosting the precision of quarkonium-production studies, G463759079, G4750045048, G4810098524, G5263632016, G5296751580, G5990367121, Learning the 3D structure of the proton, G6350981294, G7121471689, G7674377811, Physics of the 2 infinities and the origins, G8577729007
OpenAlex ID: W7215853863