Four-loop QCD MOM beta functions from the three-loop vertices at the symmetric point

Feb 7, 2020
5 pages
Published in:
  • Phys.Rev.D 101 (2020) 7, 071502
  • Published: Apr 10, 2020
e-Print:

Citations per year

202020212022202320243105
Abstract: (arXiv)
For the first time, we compute three-loop contributions to all triple vertices in QCD at the symmetric point. The analytic results are obtained in massless QCD with an arbitrary color group in the Landau gauge. All new loop integrals are expressed in terms of harmonic polylogarithms at the sixth root of unity. These corrections allow us to derive expressions for the four-loop QCD beta function in a set of momentum-subtraction schemes.
Note:
  • 6 pages, 1 figure, ancillary files with analytic results, minor changes, matches journal version
  • quantum chromodynamics: massless
  • loop integral
  • Landau gauge
  • beta function
  • vertex function
  • numerical calculations
  • Feynman graph