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

2025/06/30 by Shao, Hua-Sheng, Wang, Guoxing · 6 citations
#FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2506.23791

Abstract

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 (N³LL) resummation at small transverse momentum for the same process.

Citations

• On the threshold behaviour of heavy top production
• One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator
• Observation of a pseudoscalar excess at the top quark pair production threshold
• Updated predictions for toponium production at the LHC
• How well does nonrelativistic QCD factorization work at next-to-leading order?
• Observation of quantum entanglement in top quark pair production in proton–proton collisions ats=13 TeV
• Quantum detection of new physics in top-quark pair production at the LHC
• Signatures of toponium formation in LHC run 2 data
• A classical functional generalization of the first Barnes lemma
• NNLO soft function for top quark pair production at small transverse momentum
• Study of top quark pair production near threshold at the ILC
• Top-quark pair production near threshold at LHC
• What exactly is a parton density?
• Perturbative heavy quark-antiquark systems
• Potential NRQCD: an effective theory for heavy quarkonium
• Analysis of PSLQ, an integer relation finding algorithm

Cited by

• New physics in toponium's shadow?
• Masses of Purely Top-Quark Bound States: Toponium and the Triply-Top Baryon
• The S-wave topped meson
• The quest for topped hadrons
• Prospects for toponium formation at the LHC in the single-lepton mode
• QCD sum rule study of topped mesons within heavy quark effective theory

Related

• NNLO soft function for top quark pair production at small transverse momentum
• Soft contributions to heavy quark production in arbitrary kinematics
• Analytical Soft Functions for Heavy-Quark Final States at Hadron Colliders
• Heavy quarkonium production in hadronic collisions in TMD framework
• Top quark transverse momentum and rapidity distributions