期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP02(2017)090
关键词
Perturbative QCD; Renormalization Group
资金
- European Research Council (SRC) Advanced Grant [320651]
- REP GAME
- U.K. Science & Technology Facilities Council (STFC) [ST/L000131/1]
- STFC [S17/H008837/1]
We have computed the five-loop corrections to the scale dependence of the renormalized coupling constant for Quantum Chromodynarnics (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) over bar 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.
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