TY - JOUR
T1 - Binary Dynamics through the Fifth Power of Spin at O (G2)
AU - Bern, Zvi
AU - Kosmopoulos, Dimitrios
AU - Luna, Andrés
AU - Roiban, Radu
AU - Teng, Fei
N1 - Funding Information:
We especially thank Justin Vines for his valuable insights and cross checks for the aligned-spin scattering angle. We also thank Clifford Cheung, Aidan Herderschee, Enrico Herrmann, Callum Jones, Julio Parra-Martinez, Ira Rothstein, Michael Ruf, Trevor Scheopner, Chia-Hsien Shen, and Mikhail Solon for helpful discussions. We are grateful to Rafael Aoude, Kays Haddad, and Andreas Helset for sharing a preliminary version of their paper , which contains a similar conjecture for black holes, specifically matching our Eq. after a change of basis. Z. B. and D. K. are supported by the U.S. Department of Energy (DOE) under Award No. DE-SC0009937. R. R. and F. T. are supported by the U.S. Department of Energy (DOE) under Award No. DE-SC00019066. This project has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 847523 “INTERACTIONS.” We are also grateful to the Mani L. Bhaumik Institute for Theoretical Physics for support.
Publisher Copyright:
© 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.
PY - 2023/5/19
Y1 - 2023/5/19
N2 - We use a previously developed scattering-amplitudes-based framework for determining two-body Hamiltonians for generic binary systems with arbitrary spin S. By construction this formalism bypasses difficulties with unphysical singularities or higher-time derivatives. This framework has been previously used to obtain the exact velocity dependence of the O(G2) quadratic-in-spin two-body Hamiltonian. We first evaluate the S3 scattering angle and two-body Hamiltonian at this order in G, including not only all operators corresponding to the usual worldline operators, but also an additional set due to an interesting subtlety. We then evaluate S4 and S5 contributions at O(G2) which we confirm by comparing against aligned-spin results. We conjecture that a certain shift symmetry together with a constraint on the high-energy growth of the scattering amplitude specify the Wilson coefficients for the Kerr black hole to all orders in the spin and confirm that they reproduce the previously obtained results through S4.
AB - We use a previously developed scattering-amplitudes-based framework for determining two-body Hamiltonians for generic binary systems with arbitrary spin S. By construction this formalism bypasses difficulties with unphysical singularities or higher-time derivatives. This framework has been previously used to obtain the exact velocity dependence of the O(G2) quadratic-in-spin two-body Hamiltonian. We first evaluate the S3 scattering angle and two-body Hamiltonian at this order in G, including not only all operators corresponding to the usual worldline operators, but also an additional set due to an interesting subtlety. We then evaluate S4 and S5 contributions at O(G2) which we confirm by comparing against aligned-spin results. We conjecture that a certain shift symmetry together with a constraint on the high-energy growth of the scattering amplitude specify the Wilson coefficients for the Kerr black hole to all orders in the spin and confirm that they reproduce the previously obtained results through S4.
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U2 - 10.1103/PhysRevLett.130.201402
DO - 10.1103/PhysRevLett.130.201402
M3 - Article
C2 - 37267575
AN - SCOPUS:85160898826
SN - 0031-9007
VL - 130
JO - Physical review letters
JF - Physical review letters
IS - 20
M1 - 201402
ER -