Work

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

Year: 2025

Type: article

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 $$\overline{\text{ MS }}$$ 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.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-025-13768-z

Author: J. A. Gracey

Institution: University of Liverpool

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Science and Technology Facilities Council, Central Laser Facility, Science and Technology Facilities Council

Awards: G4160332850, Particles, Fields and Strings at Liverpool, G6092810378