Finite improvement renormalizes the energy-momentum tensor

The problem of the improvement term of the energy-momentum tensor in 4 theory is reconsidered. A unique finite improvement coefficient is shown to renormalize. Dimensional regularization is used and the improvement coefficient depends only on the space-time dimension. Up to three-loop order but not beyond, the value suggested by conformal arguments works. But if use is allowed of 't Hooft's methods to sum the divergences, then this value does work.