70 AIM, UMR 7158, CEA/DRF, CNRS, Université Paris Diderot, Irfu/Service d'Astrophysique,
Centre de Saclay, FR-91191 Gif-sur-Yvette, France

This review article presents the progress made over the last decade, since the introduction
of effective field theories (EFTs) into post-Newtonian (PN) gravity. These have been put …

We obtain the total impulse in the scattering of nonspinning binaries in general relativity at
fourth post-Minkowskian order, ie, O (G 4), including linear, nonlinear, and hereditary …

A bstract Using a heavy-mass effective field theory (HEFT), we study gravitational-wave
emission in the scattering of two spinless black holes or neutron stars of arbitrary masses at …

We compute the conservative dynamics of nonspinning binaries at fourth post-Minkowskian
order in the large-eccentricity limit, including both potential and radiation-reaction tail effects …

A bstract We propose a method to compute the scattering angle for classical black hole
scattering directly from two massive particle irreducible diagrams in a heavy-mass effective …

A bstract A precise link is derived between scalar-graviton S-matrix elements and
expectation values of operators in a worldline quantum field theory (WQFT), both used to …

Using the recently established formalism of a worldline quantum field theory description of
the classical scattering of two spinless black holes, we compute the far-field time-domain …

We derive the conservative dynamics of nonspinning binaries to third post-Minkowskian
order, using the effective field theory (EFT) approach introduced in [G. Kälin and RA Porto, J …

We present the contribution from potential interactions to the dynamics of non-spinning
binaries to fourth Post-Minkowskian (4PM) order. This is achieved by computing the …