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2022

Binary Dynamics Through the Fifth Power of Spin at $\mathcal{O}(G^2)$

Bern, Zvi, Kosmopoulos, Dimitrios, Luna, Andrés et al.

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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 $\mathcal O(G^2)$ quadratic-in-spin two-body Hamiltonian.
We first evaluate the $S^3$ 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.

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Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
A. V. Smirnov and F. S. Chuharev, Comput. Phys. Commun. 247
Original
1901
Earlier work this paper cites.
B. Maybee, D. O’Connell, and J. Vines, JHEP 12
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov, and J. Vines, Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard, and P. Vanhove, Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
D. Reitze et al. , Bull. Am. Astron. Soc. 51
Original
1907
Earlier work this paper cites.
P. H. Damgaard, K. Haddad, and A. Helset, JHEP 11
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-T. Huang, and J.-W. Kim, JHEP 09
Original
1908
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, JHEP 10
Original
1908
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, (2019c), arXiv:1909.01358 [hep-th]
Original
1909
Earlier work this paper cites.
N. Siemonsen and J. Vines, Phys. Rev. D 101
Original
1909
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli, and P. H. Damgaard, JHEP 08
Original
1910
Earlier work this paper cites.
M. Levi, S. Mougiakakos, and M. Vieira, JHEP 01
Original
1912
Earlier work this paper cites.
B. Bertotti, Nuovo Cim. 4
1956
Earlier work this paper cites.
R. P. Kerr, Nuovo Cim. 13
1959
Earlier work this paper cites.
B. Bertotti and J. Plebanski, Annals Phys. 11
1960
Earlier work this paper cites.
B. M. Barker and R. F. O’Connell, Phys. Rev. D 2
1970
Earlier work this paper cites.
B. M. Barker and R. F. O’Connell, Phys. Rev. D 12
1975
Earlier work this paper cites.
M. Portilla, J. Phys. A 12
1979
Earlier work this paper cites.
K. Westpfahl and M. Goller, Lett. Nuovo Cim. 26
1979
Earlier work this paper cites.
S. N. Gupta and S. F. Radford, Phys. Rev. D 19
1979
Earlier work this paper cites.
M. Portilla, J. Phys. A 13
1980
Earlier work this paper cites.
L. Bel, T. Damour, N. Deruelle, J. Ibanez, and J. Martin, Gen. Rel. Grav. 13
1981
Earlier work this paper cites.
G. Schafer, Phys. Lett. A 100
1984
Earlier work this paper cites.
K. Westpfahl, Fortsch. Phys. 33
1985
Earlier work this paper cites.
H. Kawai, D. C. Lewellen, and S. H. H. Tye, Nucl. Phys. B 269
1986
Earlier work this paper cites.
T. Damour and G. Schaefer, J. Math. Phys. 32
1991
Earlier work this paper cites.
L. E. Kidder, C. M. Will, and A. G. Wiseman, Phys. Rev. D 47
1993
Earlier work this paper cites.
J. F. Donoghue, Phys. Rev. D 50
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Nucl. Phys. B 425
1994
Earlier work this paper cites.
L. E. Kidder, Phys. Rev. D 52
1995
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Nucl. Phys. B 435
1995
Earlier work this paper cites.
A. Cucchieri, M. Porrati, and S. Deser, Phys. Rev. D 51
1995
Earlier work this paper cites.
L. Blanchet, G. Faye, and B. Ponsot, Phys. Rev. D 58
1998
Earlier work this paper cites.
Z. Bern, L. J. Dixon, M. Perelstein, and J. S. Rozowsky, Nucl. Phys. B 546
1999
Earlier work this paper cites.
I. Giannakis, J. T. Liu, and M. Porrati, Phys. Rev. D 59
1999
Earlier work this paper cites.
H. Tagoshi, A. Ohashi, and B. J. Owen, Phys. Rev. D 63
2001
Earlier work this paper cites.
R. Aoude, K. Haddad, and A. Helset, JHEP 05
Original
2001
Earlier work this paper cites.
D. Bini, T. Damour, and A. Geralico, Phys. Rev. D 101
Original
2001
Earlier work this paper cites.
M. Levi, A. J. Mcleod, and M. Von Hippel, JHEP 07
Original
2003
Earlier work this paper cites.
M. Levi, A. J. Mcleod, and M. Von Hippel, JHEP 07
Original
2003
Earlier work this paper cites.
M.-Z. Chung, Y.-t. Huang, J.-W. Kim, and S. Lee, JHEP 05
Original
2003
Earlier work this paper cites.
J. Blümlein, A. Maier, P. Marquard, and G. Schäfer, Phys. Lett. B 807
Original
2003
Earlier work this paper cites.

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