Consistent massive anomalous dimensions

We re-evaluate the O(g²) momentum-subtracted anomalous dimensions of QCD with massive quarks. The QCD equations of motion are used to relate operator matrix elements with different tensor structures. This procedure yields explicitly gauge-invariant anomalous dimensions. Our results differ slightly from those in the literature. The forward Compton amplitude for scattering of massive quarks and a scalar current is examined. The large Q² behavior of this amplitude is shown to be simply related to the momentum-subtracted, mass-dependent anomalous dimension.