Heavy Quarkonium Production at Collider Energies: Partonic Cross Section and Polarization

TL;DR

This paper computes next-to-leading order QCD corrections for heavy quarkonium production, including power corrections, and discusses their impact on production rates and polarization in high-energy collisions.

Contribution

It provides the first calculation of power corrections to collinear-factorized heavy quarkonium production at large transverse momentum, incorporating full leading-order perturbative contributions.

Findings

Power corrections influence production rates and polarization.

First comprehensive calculation of ${ m O}(rac{1}{p_T^2})$ corrections.

Discussion on the consistency of QCD and NRQCD factorization.

Abstract

We calculate the ${\cal O}(\alpha_s^3)$ short-distance, QCD collinear-factorized coefficient functions for all partonic channels that include the production of a heavy quark pair at short distances. This provides the first power correction to the collinear-factorized inclusive hadronic production of heavy quarkonia at large transverse momentum, $p_T$, including the full leading-order perturbative contributions to the production of heavy quark pairs in all color and spin states employed in NRQCD treatments of this process. We discuss the role of the first power correction in the production rates and the polarizations of heavy quarkonia in high energy hadronic collisions. The consistency of QCD collinear factorization and non-relativistic QCD factorization applied to heavy quarkonium production is also discussed.