Boosting perturbative QCD stability in quarkonium production

Abstract

The aim of this paper is to introduce a general way to stabilize the perturbative QCD computations of heavy quarkonium production in the boosted or high-momentum transferring region with tree-level generators only. Such an approach is possible by properly taking into account the power-enhanced perturbative contributions in a soft and collinear safe manner without requiring any complete higher-order computations. The complicated NLO results for inclusive quarkonium hadroproduction can be well reproduced within our approach based on a tree-level generator {\sc\small HELAC-Onia}. We have applied it to estimate the last missing leading-twist contribution from the spin-triplet color-singlet S-wave production at $\mathcal{O}({\alpha }_s^5)$, which is a NNLO term in the ${\alpha }_s$ expansion for the quarkonium $P_T$ spectrum. We conclude that the missing NNLO contribution will not change the order of the magnitude of the short-distance coefficient. Such an approach is also quite appealing as it foresees broad applications in quarkonium-associated production processes, which are mostly absent of complete higher-order computations and fragmentation functions.

40 pages, 26 figures, 3 tables; v2: journal version, fix a few typos fixed, add two figures, reorganize the figures

References in corpus (9)

• Reconciling J/psi production at HERA, RHIC, Tevatron, and LHC with NRQCD factorization at next-to-leading order
• QCD corrections to J/psi and Upsilon production at hadron colliders
• Polarization for Prompt J/psi, psi(2s) production at the Tevatron and LHC
• Upsilon production at the Tevatron and the LHC
• NLO QCD matrix elements + parton showers in e+e- -> hadrons
• QCD radiative corrections to ${\chi }_{cJ}$ production at hadron colliders
• Extending CKKW-merging to One-Loop Matrix Elements
• Factorized power expansion for high-$p_T$ heavy quarkonium production
• ${\chi }_{cJ}$ production associated with a $c\bar{c}$ pair at hadron colliders

Cited by in corpus (7)

• New Observables in Inclusive Production of Quarkonia
• Diffractive semi-hard production of a $J/\psi$ or a ${\rm Y}$ from single-parton fragmentation plus a jet in hybrid factorization
• Triple prompt $J/\psi$ hadroproduction as a hard probe of multiple-parton scatterings
• Vector quarkonia at the LHC with JETHAD: A high-energy viewpoint
• $J/\psi$ meson production in association with an open charm hadron at the LHC: A reappraisal
• FKS subtraction for quarkonium production at NLO
• Automated event generation for S-wave quarkonium and leptonium production in NRQCD and NRQED