Tensor current renormalization in the RI′ scheme at four loops

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 $\overline{\mathrm{MS}}$ and ${\mathrm{RI}}^{\ensuremath{'}}$ schemes to four loops. The tensor current anomalous dimension is also calculated to four loops in both schemes for an arbitrary color group.