Tensor current renormalization in the RI' scheme at four loops

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 MS and RI' schemes to four loops. The tensor current anomalous dimension is also calculated to four loops in both schemes for an arbitrary color group.

Automated summary

We calculate the four-loop results in both the MS and RI' schemes to assist in matching lattice field theory results to the high energy continuum limit. The tensor current anomalous dimension is also calculated to four loops for an arbitrary color group in both schemes.