EMT,Pseudo-EMT and all that Improvement and Superpotentials

Within Einstein-Hilbert gravity, higher derivatives and a scalar field as representative of matter different versions of tensorlike quantities are discussed.The concepts of improvement and superpotential help to understand the details of their construction and meaning. On this basis it is claimed that the higher derivatives which are necessary for defining higher orders in perturbation theory donot ruin the physical content of the model.