Three-Loop Static Potential

2009/11/30 by Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser · 7 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevlett.104.112002

published as Phys.Rev.Lett.104:112002,2010 · 4 pages, v2: minor changes

openalex publication_date 2010/03/15 · arxiv created 2010/04/12 · arxiv updated 2010/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We compute the three-loop corrections to the potential of two heavy quarks. In particular, we consider in this Letter the purely gluonic contribution which provides, in combination with our previous fermion corrections, the complete answer at three loops.

Citations

• Automatized analytic continuation of Mellin–Barnes integrals
• Potential NRQCD: an effective theory for heavy quarkonium
• Algorithm FIRE—Feynman Integral REduction
• Are there short distance non-perturbative contributions to the QCD static potential?
• Infrared behavior of the static potential in perturbative QCD
• Fermionic contributions to the three-loop static potential

Cited by

• Novel implementation of the multipole expansion to quarkonium hadronic transitions
• The bottom-quark mass from non-relativistic sum rules at NNNLO
• The top-antitop threshold at the ILC: NNLL QCD uncertainties
• Strong IR cancellation in heavy quarkonium and precise top mass determination
• Determination of the QCD coupling from the static energy and the free energy
• Renormalization scale setting for heavy quark pair production in e+e− annihilation near the threshold region
• Instanton effects on the heavy-quark static potential

Related

• Fermionic contributions to the three-loop static potential
• Three-loop Static QCD Potential in Heavy Quarkonia
• Three loop QCD corrections to the heavy-light form factors: fermionic contributions
• Three-loop vertex corrections
• Lattice QCD and Three-Body Exotic Systems in the static limit