Tensor current renormalization in the RI' scheme at four loops

TL;DR

This paper computes the four-loop tensor current renormalization constants and anomalous dimensions in the RI' scheme, aiding lattice-continuum matching in quantum field theory.

Contribution

It provides the first four-loop calculations of tensor current renormalization and anomalous dimensions in the RI' scheme for arbitrary gauge and color groups.

Findings

Four-loop tensor current renormalization constants in RI' and MSbar schemes.

Four-loop tensor current anomalous dimensions for arbitrary gauge and color groups.

Results facilitate precise lattice-continuum matching in QCD.

Abstract

To assist the matching of lattice field theory results to the high energy continuum limit we evaluate the Green's function where the tensor quark bilinear operator is inserted at zero momentum in a quark $2$-point function for an arbitrary covariant gauge. This is carried out in both the MSbar and RI' schemes to four loops. The tensor current anomalous dimension is also calculated to four loops in both schemes for an arbitrary colour group.