The 2PM Hamiltonian for binary Kerr to quartic in spin
High Energy Physics - Theory
2024-02-14 v4 General Relativity and Quantum Cosmology
Abstract
From the S-matrix of spinning particles, we extract the 2 PM conservative potential for binary spinning black holes up to quartic order in spin operators. An important ingredient is the exponentiated gravitational Compton amplitude in the classical spin-limit for all graviton helicity sectors. The validity of the resulting Hamiltonian is verified by matching to known lower spin order results, as well as direct computation of the 2PM impulse and spin kicks from the eikonal phase and that from the test black hole scattering based on Mathisson-Papapetrou-Dixon equations.
Cite
@article{arxiv.2111.13639,
title = {The 2PM Hamiltonian for binary Kerr to quartic in spin},
author = {Wei-Ming Chen and Ming-Zhi Chung and Yu-tin Huang and Jung-Wook Kim},
journal= {arXiv preprint arXiv:2111.13639},
year = {2024}
}
Comments
Published version; minor corrections and improvements for clarity; (v4) ancillary file corrected (Observables.wl -> Observables2.wl)