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We {\it analytically} compute, to the eight-and-a-half post-Newtonian order, and to linear order in the mass ratio, the radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies, thereby extending previous analytic results.
1952
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D. J. Broadhurst and D. Kreimer, “Knots and numbers in ϕ 4 \phi^{4} theory to 7 loops and beyond,” Int. J. Mod. Phys. C 6
1995
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S. Mano, H. Suzuki and E. Takasugi, “Analytic solutions of the Teukolsky equation and their low frequency expansions,” Prog. Theor. Phys. 95
1996
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S. Mano, H. Suzuki and E. Takasugi, “Analytic solutions of the Regge-Wheeler equation and the postMinkowskian expansion,” Prog. Theor. Phys. 96
1996
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T. Damour and G. Esposito-Farese, “Testing gravity to second postNewtonian order: A Field theory approach,” Phys. Rev. D 53
1996
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S. Mano and E. Takasugi, “Analytic solutions of the Teukolsky equation and their properties,” Prog. Theor. Phys. 97
1997
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A. Buonanno and T. Damour, “Effective one-body approach to general relativistic two-body dynamics,” Phys. Rev. D 59
1999
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A. Buonanno and T. Damour, “Transition from inspiral to plunge in binary black hole coalescences,” Phys. Rev. D 62
2000
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T. Damour, P. Jaranowski and G. Schaefer, “On the determination of the last stable orbit for circular general relativistic binaries at the third postNewtonian approximation,” Phys. Rev. D 62
2000
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L. Barack and A. Ori, “Mode sum regularization approach for the selfforce in black hole space-time,” Phys. Rev. D 61
2000
Cited alongside, same era.
T. Damour, “Coalescence of two spinning black holes: an effective one-body approach,” Phys. Rev. D 64
2001
Cited alongside, same era.
T. Damour, P. Jaranowski and G. Schaefer, “Dimensional regularization of the gravitational interaction of point masses,” Phys. Lett. B 513
2001
Cited alongside, same era.
W. Hikida, H. Nakano and M. Sasaki, “Self-force regularization in the Schwarzschild spacetime,” Class. Quant. Grav. 22
2005
Cited alongside, same era.
W. Hikida, S. Jhingan, H. Nakano, N. Sago, M. Sasaki and T. Tanaka, “A New analytical method for self-force regularization. Testing the efficiency for circular orbits,” Prog. Theor. Phys. 113
2005
Cited alongside, same era.
2010
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2012
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2012
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2012
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2008
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2009
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2010
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2010
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Cited in the paper.
F. C. S. Brown, “On the periods of some Feynman integrals,” arXiv:0910.0114 [math.AG]
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2012
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2013
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2013
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