Ultrasoft contribution to quarkonium production and annihilation
M. Beneke (RWTH Aachen), Y. Kiyo, A.A. Penin (U Karlsruhe)
TL;DR
This paper calculates the third-order ultrasoft gluon correction to S-wave quarkonium production and annihilation, completing the NNNLO analysis and assessing its impact on specific processes like Upsilon(1S) decay and top quark pair production.
Contribution
It provides the first complete NNNLO ultrasoft correction calculation for S-wave quarkonium processes, advancing the precision of theoretical predictions.
Findings
Ultrasoft correction significantly affects Upsilon(1S) leptonic width.
Correction impacts top quark-antiquark production near threshold.
Results improve the accuracy of quarkonium theoretical models.
Abstract
We compute the third-order correction to electromagnetic S-wave quarkonium production and annihilation rates due to the emission and absorption of an ultrasoft gluon. Our result completes the analysis of the non-relativistic quarkonium bound-state dynamics in the next-to-next-to-next-to-leading order. The impact of the ultrasoft correction on the Upsilon(1S) leptonic width and the top quark-antiquark threshold production cross section is estimated.
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