Next generation of gravitational wave detectors will have the sensibility to detect potential deviations in gravitational waveforms with respect to general relativity. However, current agnostic tests are plagued by a lack of realistic deviations, making it difficult to interpret such detections with respect to specific theories. In this talk, after introducing the post-Newtonian formalism in GR and beyond, I aim at bridging the gap between observations and theory by identifying the leading order post-Newtonian corrections as well as the scaling of deviations with respect to the objects’ mass. I rely on a local effective field theory (EFT) approach based on curvature and/or additional scalar fields. The obtained results can be readily incorporated in all gravitational wave tests already under use by current detectors.