The five-loop beta function of Yang-Mills theory with fermions



Herzog, F, Ruijl, B, Ueda, T, Vermaseren, JAM and Vogt, A
(2017) The five-loop beta function of Yang-Mills theory with fermions. Journal of High Energy Physics, 2017 (2).

[img] Text
1701.01404v2.pdf - Accepted Version

Download (241kB)

Abstract

We have computed the five-loop corrections to the scale dependence of the renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge theories with a simple compact Lie group, and for Quantum Electrodynamics (QED). Our analytical result, obtained using the background field method, infrared rearrangement via a new diagram-by-diagram implementation of the R* operation and the Forcer program for massless four-loop propagators, confirms the QCD and QED results obtained by only one group before. The numerical size of the five-loop corrections is briefly discussed in the standard MS scheme for QCD with n f flavours and for pure SU(N) Yang-Mills theory. Their effect in QCD is much smaller than the four-loop contributions, even at rather low scales.

Item Type: Article
Additional Information: 19 pages, LaTex, 4 figures. FORM file of the main results available with the source. v2: version accepted by JHEP: minor text changes, a few additional references, typos corrected
Uncontrolled Keywords: Perturbative QCD, Renormalization Group
Depositing User: Symplectic Admin
Date Deposited: 12 Apr 2017 07:46
Last Modified: 28 Apr 2022 06:13
DOI: 10.1007/JHEP02(2017)090
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3006951