Order alpha_s^3 ln^2(1/alpha_s) Corrections to Heavy-Quarkonium Creation and Annihilation

TL;DR

This paper calculates significant double-logarithmic quantum chromodynamics corrections at order alpha_s^3 ln^2(1/alpha_s) to heavy quarkonium production and annihilation, impacting theoretical predictions for top-antitop and Upsilon systems.

Contribution

It provides the first computation of leading double-logarithmic corrections at this order within nonrelativistic QCD for heavy quarkonium processes.

Findings

Double-logarithmic corrections are significant for heavy quarkonium rates.

Implications for top-antitop and Upsilon production are discussed.

Results refine theoretical predictions for heavy-quarkonium phenomena.

Abstract

In the framework of nonrelativistic QCD, we compute the leading double-logarithmic corrections of order alpha_s^3 ln^2(1/alpha_s) to the heavy-quark-antiquark bound-state wave function at the origin, which determines the production and annihilation rates of heavy quarkonia. The phenomenological implications for the top-antitop and Upsilon systems are discussed.