Speaker
Description
Next generation gravitational wave observatories, such as the Einstein Telescope and LISA, will require an improvement of up to two orders of magnitude in waveform model accuracy to control theoretical systematics in precision parameter estimation. In particular, robust inference of cosmological parameters and future null tests of general relativity require highly accurate predictions within general relativity itself. This makes the completion of high order post-Newtonian (PN) dynamics for compact binary systems, up to the seventh post-Newtonian order, a key target for the next decade.
This talk presents recent high order PN computations for compact binaries using Effective Field Theory and multi-loop Feynman integral techniques.
The talk focuses on the static sector of the 6PN and 7PN gravitational potential, which contains some of the technically most demanding contributions to the conservative two-body dynamics.
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 results provide theoretical input for more accurate measurements with future gravitational wave observatories, while offering a new perspective on the classical two-body problem.
The talk is based on arXiv:2512.19498 and arXiv:2604.14134.