Five loop anomalous dimension of non-singlet quark currents in the RI scheme

J. A. Gracey

doi:10.1140/epjc/s10052-022-11088-0

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 181
https://doi.org/10.1140/epjc/s10052-022-11088-0

Regular Article - Theoretical Physics

Five loop anomalous dimension of non-singlet quark currents in the RI $^{'}$ ${}^\prime$ scheme

J. A. Gracey^a

Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, P.O. Box 147, L69 3BX, Liverpool, UK

^a gracey@liverpool.ac.uk

Received: 1 November 2022
Accepted: 29 November 2022
Published online: 25 February 2023

Abstract

We construct the five loop anomalous dimensions of the basic fields in Quantum Chromodynamics in a linear covariant gauge in the modified Regularization Invariant ( ${RI}^{'}$ $\textrm{RI}^\prime$ ) scheme. Using these core results we also compute the four loop Green’s function where the quark mass operator and vector current are separately inserted in a quark 2-point function. These are necessary for measurements of the same quantities on the lattice. The Green’s functions are provided in both the modified Minimal Subtraction ( $\bar{MS}$ $\overline{\textrm{MS}}$ ) and ${RI}^{'}$ $\textrm{RI}^\prime$ schemes. All the results are available for a general Lie group.

© The Author(s) 2023

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