Four loop Green’s functions involving the n=2 moment of the Wilson operator

Gracey, JA ORCID: 0000-0002-9101-2853 (2025) Four loop Green’s functions involving the n=2 moment of the Wilson operator European Physical Journal C, 85 (2). 167-. ISSN 1434-6044, 1434-6052

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Abstract

We evaluate the Green’s function for the insertion of the second moment of the twist-2 flavour nonsinglet Wilson operator in a quark 2-point function in all three different single scale external momentum configurations at four loops in the MS¯ scheme and the chiral limit. One configuration is where the operator is inserted at zero momentum while the other two are where a non-zero momentum flows out through the operator itself with one external quark momentum nullified. In the latter two configurations mixing of the operator with a total derivative twist-2 operator is included for renormalization group consistency. In addition we compute the correlation functions of both gauge invariant operators to four loops in the same scheme.

Item Type:	Article
Uncontrolled Keywords:	5106 Nuclear and Plasma Physics, 5107 Particle and High Energy Physics, 51 Physical Sciences
Divisions:	Faculty of Science & Engineering Faculty of Science & Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	15 Jan 2025 09:58
Last Modified:	23 Jan 2026 16:45
DOI:	10.1140/epjc/s10052-025-13768-z
Related Websites:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3189693
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