https://scholars.lib.ntu.edu.tw/handle/123456789/626566
Title: | The 2PM Hamiltonian for binary Kerr to quartic in spin | Authors: | Wei-Ming Chen Ming-Zhi Chung YU-TIN HUANG Jung-Wook Kim |
Keywords: | Classical Theories of Gravity; Scattering Amplitudes; SCATTERING; PARTICLES; EQUATIONS; MOTION; APPROXIMATION; MOMENTUM; DYNAMICS; FIELD; High Energy Physics - Theory; High Energy Physics - Theory; General Relativity and Quantum Cosmology | Issue Date: | 27-Nov-2021 | Publisher: | SPRINGER | Journal Volume: | 2022 | Journal Issue: | 8 | Source: | JHEP 08 (2022) 148 | 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. |
Description: | Published version; minor corrections and improvements for clarity |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/626566 | ISSN: | 1029-8479 | DOI: | 10.1007/JHEP08(2022)148 |
Appears in Collections: | 物理學系 |
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