Regular Article - Theoretical Physics
Five loop anomalous dimension of non-singlet quark currents in the RI scheme
Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, P.O. Box 147, L69 3BX, Liverpool, UK
Accepted: 29 November 2022
Published online: 25 February 2023
We construct the five loop anomalous dimensions of the basic fields in Quantum Chromodynamics in a linear covariant gauge in the modified Regularization Invariant () 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 () and schemes. All the results are available for a general Lie group.
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