Ruijl, B, Ueda, T, Vermaseren, JAM and Vogt, A
(2017)
Four-loop QCD propagators and vertices with one vanishing external momentum.
JOURNAL OF HIGH ENERGY PHYSICS, 2017 (6).
40-.
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1703.08532v2.pdf - Author Accepted Manuscript Download (470kB) |
Abstract
We have computed the self-energies and a set of three-particle vertex functions for massless QCD at the four-loop level in the MSbar renormalization scheme. The vertex functions are evaluated at points where one of the momenta vanishes. Analytical results are obtained for a generic gauge group and with the full gauge dependence, which was made possible by extensive use of the Forcer program for massless four-loop propagator integrals. The bare results in dimensional regularization are provided in terms of master integrals and rational coefficients; the latter are exact in any space-time dimension. Our results can be used for further precision investigations of the perturbative behaviour of the theory in schemes other than MSbar. As an example, we derive the five-loop beta function in a relatively common alternative, the minimal momentum subtraction (MiniMOM) scheme.
Item Type: | Article |
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Additional Information: | 50 pages, 4 figures, 15 ancillary files available with the source; v2: minor changes, version accepted by JHEP |
Uncontrolled Keywords: | Perturbative QCD, Renormalization Group |
Depositing User: | Symplectic Admin |
Date Deposited: | 19 Jun 2017 09:12 |
Last Modified: | 14 Mar 2024 19:27 |
DOI: | 10.1007/JHEP06(2017)040 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3008018 |