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High Energy Physics - Theory

arXiv:2111.13639 (hep-th)
[Submitted on 26 Nov 2021 (v1), last revised 13 Feb 2024 (this version, v4)]

Title:The 2PM Hamiltonian for binary Kerr to quartic in spin

Authors:Wei-Ming Chen, Ming-Zhi Chung, Yu-tin Huang, Jung-Wook Kim
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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.
Comments: Published version; minor corrections and improvements for clarity; (v4) ancillary file corrected (this http URL -> this http URL)
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
Report number: KOBE-COSMO-21-17, QMUL-PH-21-51
Cite as: arXiv:2111.13639 [hep-th]
  (or arXiv:2111.13639v4 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.13639
Journal reference: JHEP 08 (2022) 148
Related DOI: https://doi.org/10.1007/JHEP08%282022%29148

Submission history

From: Jung-Wook Kim [view email]
[v1] Fri, 26 Nov 2021 18:07:30 UTC (351 KB)
[v2] Mon, 29 Nov 2021 18:58:38 UTC (351 KB)
[v3] Thu, 18 Aug 2022 12:54:47 UTC (353 KB)
[v4] Tue, 13 Feb 2024 17:57:59 UTC (345 KB)
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