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A. Smirnov and F. Chuharev, FIRE6: Feynman Integral REduction with Modular Arithmetic, Comput. Phys. Commun. 247
Original
1901
Earlier work this paper cites.
S. Foffa and R. Sturani, Hereditary Terms at Next-To-Leading Order in Two-Body Gravitational Dynamics, (2019), arXiv:1907.02869 [gr-qc]
Original
1907
Earlier work this paper cites.
D. Bini, T. Damour, and A. Geralico, Novel approach to binary dynamics: application to the fifth post-Newtonian level, Phys. Rev. Lett. 123
Original
1909
Earlier work this paper cites.
L. Blanchet, S. Foffa, F. Larrouturou, and R. Sturani, Logarithmic tail contributions to the energy function of circular compact binaries, Phys. Rev. D101
Original
1912
Earlier work this paper cites.
L. Blanchet and T. Damour, Tail Transported Temporal Correlations in the Dynamics of a Gravitating System, Phys. Rev. D 37
1988
Earlier work this paper cites.
L. Blanchet and T. Damour, Hereditary effects in gravitational radiation, Phys. Rev. D 46
1992
Earlier work this paper cites.
L. Blanchet and G. Schaefer, Gravitational wave tails and binary star systems, Class. Quant. Grav. 10
1993
Earlier work this paper cites.
L. Blanchet, Time asymmetric structure of gravitational radiation, Phys. Rev. D 47
1993
Earlier work this paper cites.
A. G. Wiseman, Coalescing binary systems of compact objects to (post)Newtonian**5/2 order. 4V: The Gravitational wave tail, Phys. Rev. D 48
1993
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits, Nucl. Phys. B 425
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes, Nucl. Phys. B 435
1995
Earlier work this paper cites.
T. Tanaka, H. Tagoshi, and M. Sasaki, Gravitational waves by a particle in circular orbits around a Schwarzschild black hole: 5.5 postNewtonian formula, Prog. Theor. Phys. 96
1996
Earlier work this paper cites.
D. Bini, T. Damour, and A. Geralico, Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders, Phys. Rev. D 102
Original
2003
Earlier work this paper cites.
T. Akutsu et al. (KAGRA), Overview of KAGRA: Detector design and construction history, (2020), arXiv:2005.05574 [physics.ins-det]
Original
2005
Earlier work this paper cites.
L. Blanchet, Energy losses by gravitational radiation in inspiraling compact binaries to five halves postNewtonian order, Phys. Rev. D 54
2005
Earlier work this paper cites.
L. Blanchet, Gravitational wave tails of tails, Class. Quant. Grav. 15
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills, Nucl. Phys. B 725
2005
Earlier work this paper cites.
A. Edison and F. Teng, Efficient Calculation of Crossing Symmetric BCJ Tree Numerators, (2020), arXiv:2005.03638 [hep-th]
Original
2005
Earlier work this paper cites.

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2022

A tale of tails through generalized unitarity

Edison, Alex, Levi, Michèle

Understand

We introduce a novel framework to study high-order gravitational effects on a binary from the scattering of its emitted gravitational radiation.

Here we focus on the radiation-reaction due to the background of the binary's gravitational potential, namely on the so-called tail effects, as the starting point to this type of scattering effects.
We start from the effective field theory of a binary composite-particle.
Through multi-loop and generalized-unitarity methods, we derive the causal effective actions of the dynamical multipoles, the energy spectra, and the observable flux, due to these effects.

Built on

A. Smirnov and F. Chuharev, FIRE6: Feynman Integral REduction with Modular Arithmetic, Comput. Phys. Commun. 247
Original
1901
Earlier work this paper cites.
S. Foffa and R. Sturani, Hereditary Terms at Next-To-Leading Order in Two-Body Gravitational Dynamics, (2019), arXiv:1907.02869 [gr-qc]
Original
1907
Earlier work this paper cites.
D. Bini, T. Damour, and A. Geralico, Novel approach to binary dynamics: application to the fifth post-Newtonian level, Phys. Rev. Lett. 123
Original
1909
Earlier work this paper cites.
L. Blanchet, S. Foffa, F. Larrouturou, and R. Sturani, Logarithmic tail contributions to the energy function of circular compact binaries, Phys. Rev. D101
Original
1912
Earlier work this paper cites.
L. Blanchet and T. Damour, Tail Transported Temporal Correlations in the Dynamics of a Gravitating System, Phys. Rev. D 37
1988
Earlier work this paper cites.
L. Blanchet and T. Damour, Hereditary effects in gravitational radiation, Phys. Rev. D 46
1992
Earlier work this paper cites.
L. Blanchet and G. Schaefer, Gravitational wave tails and binary star systems, Class. Quant. Grav. 10
1993
Earlier work this paper cites.
L. Blanchet, Time asymmetric structure of gravitational radiation, Phys. Rev. D 47
1993
Earlier work this paper cites.
A. G. Wiseman, Coalescing binary systems of compact objects to (post)Newtonian**5/2 order. 4V: The Gravitational wave tail, Phys. Rev. D 48
1993
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits, Nucl. Phys. B 425
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes, Nucl. Phys. B 435
1995
Earlier work this paper cites.
T. Tanaka, H. Tagoshi, and M. Sasaki, Gravitational waves by a particle in circular orbits around a Schwarzschild black hole: 5.5 postNewtonian formula, Prog. Theor. Phys. 96
1996
Earlier work this paper cites.
D. Bini, T. Damour, and A. Geralico, Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders, Phys. Rev. D 102
Original
2003
Earlier work this paper cites.
T. Akutsu et al. (KAGRA), Overview of KAGRA: Detector design and construction history, (2020), arXiv:2005.05574 [physics.ins-det]
Original
2005
Earlier work this paper cites.
L. Blanchet, Energy losses by gravitational radiation in inspiraling compact binaries to five halves postNewtonian order, Phys. Rev. D 54
2005
Earlier work this paper cites.
L. Blanchet, Gravitational wave tails of tails, Class. Quant. Grav. 15
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills, Nucl. Phys. B 725
2005
Earlier work this paper cites.
A. Edison and F. Teng, Efficient Calculation of Crossing Symmetric BCJ Tree Numerators, (2020), arXiv:2005.03638 [hep-th]
Original
2005
Earlier work this paper cites.