QCD factorization for high $p_T$ heavy quarkonium production

TL;DR

This paper develops a QCD factorization formula for high transverse momentum heavy quarkonium production, demonstrating that leading and next-to-leading power contributions are essential for accurate predictions of production rates and polarization.

Contribution

It introduces a QCD factorization approach that effectively reproduces NLO results and highlights the importance of next-to-leading power terms for quarkonium production.

Findings

Leading order calculations match NLO numerical results.

Next-to-leading power contributions are vital for accurate predictions.

Channels relevant for rate and polarization are dominated by these contributions.

Abstract

In this talk, we present the QCD factorization formula for heavy quarkonium production at large $p_T$ with factorized leading-power and next-to-leading power contributions in the $1/p_T$ expansion. We show that the leading order analytical calculations in this QCD factorization approach can reproduce effectively the full next-to-leading order numerical results derived using non-relativistic QCD (NRQCD) factorization formalism. We demonstrate that the next-to-leading power contributions are crucial to the description of the channels that are the most relevant for the rate as well as polarization of $J/\psi$ production at current collider energies.