Speaker
Description
Next generation gravitational wave detectors, such as the Einstein Telescope and LISA, require an improvement of two orders of magnitude in waveform accuracy to control systematic effects. Therefore, completing the seventh post-Newtonian order (7PN) is critical for robust inference of cosmological parameters and tests of general relativity. This talk presents recent high order PN computations for compact binaries using Effective Field Theory and multi-loop integration techniques. The talk focuses on the static sector of the 6PN and 7PN gravitational potential, which is the most technically challenging barrier to determining the full potential. We first present the 6PN static potential, highlighting the techniques that enabled the evaluation of six-loop Feynman diagrams. Next, we introduce a novel correlation function framework for the computation of static two-body interactions. This approach demonstrates that the static PN factorization theorem stems from a $\mathbb{Z}_2$ symmetry, enabling the direct determination of odd-PN static contributions from lower order data. Using this framework, we derive a closed all order formula encoding the structure of static PN corrections, and determine the complete 7PN static potential. We conclude by discussing extensions to this framework. These advancements will enable more accurate measurements with future observatories, while offering a new perspective on the classical two-body problem. Talk based on 2512.19498 and 2604.14134.