Four-loop QCD propagators and vertices with one vanishing external momentum



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).

[img] Text
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
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: 19 Jan 2023 07:02
DOI: 10.1007/JHEP06(2017)040
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3008018