%0 Electronic Article
%A Blanchet, Luc
%A Faye, Guillaume
%A Henry, Quentin
%A Larrouturou, Francois
%A Trestini, David
%T Gravitational Wave Flux and Quadrupole Modes from Quasi-Circular Non-Spinning Compact Binaries to the Fourth Post-Newtonian Order
%N DESY-23-044
%M PUBDB-2023-01454
%M DESY-23-044
%M arXiv:2304.11186
%D 2023
%Z 32 pages, no figure
%X This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein quadrupole formula. In particular: (i) we overview the link between the radiative multipole moments measured at infinity and the source moments in the framework of dimensional regularization; (ii) we compute special corrections to the source moments due to 'infrared' commutators arising at the 4PN order; (iii) we derive a 'post-adiabatic' correction needed to evaluate the tail integral with 2.5PN relative precision; (iv) we discuss the relation between the binary's orbital frequency in quasi-circular orbit and the gravitational-wave frequency measured at infinity; (v) we compute the hereditary effects at the 4PN order, including those coming from the recently derived tails-of-memory; and (vi) we describe the various tests we have performed to ensure the correctness of the results. Those results are collected in an ancillary file.
%K binary, compact (INSPIRE)
%K energy, flux (INSPIRE)
%K gravitational radiation, energy (INSPIRE)
%K regularization, dimensional (INSPIRE)
%K gravitational radiation, frequency (INSPIRE)
%K gravitational radiation, flux (INSPIRE)
%K multipole (INSPIRE)
%K commutation relations (INSPIRE)
%K infrared (INSPIRE)
%K orbit (INSPIRE)
%K Einstein (INSPIRE)
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2023-01454
%U https://bib-pubdb1.desy.de/record/580807