Work

Analytic NNLO transverse-momentum-dependent soft function for heavy quark pair hadroproduction at threshold

Year: 2025

Type: article

Abstract: A bstract The transverse-momentum-dependent (TMD) soft function for non-relativistic heavy quark pair production at hadron colliders is analytically computed at next-to-next-to-leading order (NNLO) in the strong coupling expansion. We present the details of our computational approach and analyze the general two-loop structure of the soft function. The final result, which takes a particularly simple form, provides the last missing ingredient for a complete NNLO calculation of color-octet S -wave quarkonium hadroproduction — including charmonium, bottomonium, and toponium — using the q T -slicing formalism. It also enables next-to-next-to-next-to-leading-logarithmic (N 3 LL) resummation at small transverse momentum for the same process.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep10(2025)164

Authors: Hua-Sheng Shao, Guoxing Wang

Institutions: Centre National de la Recherche Scientifique, Sorbonne Université, Laboratoire de Physique Théorique et Hautes Energies

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: European Commission, Agence Nationale de la Recherche, HORIZON EUROPE European Research Council

Awards: Boosting the precision of quarkonium-production studies, BOosting the knowledge of the Strong interaction from quarkONium : an advanced simulation framework and beyond