  We argue that the renormalization factors for nonlocal quark-antiquark and
gluon operators at space-like and time-like separations connected by a Wilson
line coincide to all orders in perturbation theory. We calculate the anomalous
dimensions and renormalization constants of quark-antiquark and gluon operators
to three- and two-loop accuracy, respectively, and also compute vacuum
expectation values of these operators to three-loop accuracy.
