Angular momentum tail contributions to compact binary dynamics
Phys. Rev. D 114, 064057 – Published 14 September, 2026
DOI: https://doi.org/10.1103/bkxs-xs4j
Abstract
We derive the effective action governing the dynamics of a compact binary system when gravitational radiation is emitted by any mass or current multipole, scattered by the quasistatic field associated with the binary’s angular momentum, and then reabsorbed. Among such angular momentum failed-tail processes, the ones involving multipole moments up to mass and current octupoles, which mix also with quadrupoles of opposite parity, contribute to the system dynamics at sixth post-Newtonian order; we display these terms explicitly as a particular case of our general derivation. Additionally, we derive the radiative multipole moments associated to arbitrary angular momentum failed tails in emission processes.
