%0 Electronic Article
%A Porto, Rafael A.
%A Riva, Massimiliano M.
%A Yang, Zixin
%T Nonlinear Gravitational Radiation Reaction: Failed Tail, Memories </td><td width="150">
%T amp; Squares
%N DESY-24-133
%M PUBDB-2024-05762
%M DESY-24-133
%M arXiv:2409.05860
%D 2024
%Z 33+15 pages. 4 figures. 1 ancillary file
%X Using the Schwinger-Keldysh 'in-in' effective field theory (EFT) framework, we complete the knowledge of nonlinear gravitational radiation-reaction effects in the (relative) dynamics of binary systems at fifth Post-Newtonian (5PN) order. Diffeomorphism invariance plays a key role guaranteeing that the Ward identities are obeyed (in background-field gauge). Nonlocal-in-time (memory) effects appear in the soft-frequency limit as boundary terms in the effective action, consistently with the loss of (canonical) angular momentum. We identify a conservative sector through Feynman's i0<sup>+</sup>-prescription. Notably, terms at second order in the (linear) radiation-reaction force also produce conservative-like effects (as we likewise demonstrate in electromagnetism). For the sake of comparison, we derive the <span style="font-family:helvetica"><i>O</i>(G<sup>4</sup>) contribution to the total (even-in-velocity) 5PN relative scattering angle. We find perfect agreement in the overlap with the state of the art in the Post-Minkowskian expansion, both in the conservative and dissipative sectors, resolving the (apparent) discrepancy with previous EFT results. We will return to the full conservative part of the 5PN dynamics elsewhere.
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2024-05762
%U https://bib-pubdb1.desy.de/record/614128