Fermionic contributions to the three-loop static potential

2008/09/10 by Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser · 2 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:10.1016/j.physletb.2008.08.070

published as Phys.Lett.B668:293-298,2008 · 12 pages, 3 figures, to appear in Phys. Lett. B

openalex publication_date 2008/09/10 · arxiv created 2008/09/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We consider the three-loop corrections to the static potential which are induced by a closed fermion loop. For the reduction of the occurring integrals a combination of the Gröbner and Laporta algorithm has been used and the evaluation of the master integrals has been performed with the help of the Mellin–Barnes technique. The fermionic three-loop corrections amount to 2% of the tree-level result for top quarks, 8% for bottom quarks and 27% for the charm quark system.

Citations

• Potential NRQCD: an effective theory for heavy quarkonium

Cited by

• Three-Loop Static Potential
• Novel implementation of the multipole expansion to quarkonium hadronic transitions

Related

• 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
• Three-loop corrections to the Fermi decay constant in the \rmMS scheme