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2018

Scattering of Spinning Black Holes from Exponentiated Soft Factors

Guevara, Alfredo, Ochirov, Alexander, Vines, Justin

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We provide evidence that the classical scattering of two spinning black holes is controlled by the soft expansion of exchanged gravitons.

We show how an exponentiation of Cachazo-Strominger soft factors, acting on massive higher-spin amplitudes, can be used to find spin contributions to the aligned-spin scattering angle, conjecturally extending previously known results to higher orders in spin at one-loop order.
The extraction of the classical limit is accomplished via the on-shell leading-singularity method and using massive spinor-helicity variables.
The three-point amplitude for arbitrary-spin massive particles minimally coupled to gravity is expressed in an exponential form, and in the infinite-spin limit it matches the effective stress-energy tensor of the linearized Kerr solution.

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A. D. Fokker, Relativiteitstheorie . P. Noordhoff, Groningen, 1929
1929
Earlier work this paper cites.
F. J. Belinfante, On the current and the density of the electric charge, the energy, the linear momentum and the angular momentum of arbitrary fields , Physica 7
1940
Earlier work this paper cites.
L. Rosenfeld, Sur le tenseur D’Impulsion-Energie , Acad. Roy. Belg. Memoirs de Classes de Science 18
1940
Earlier work this paper cites.
F. E. Low, Scattering of light of very low frequency by systems of spin 1/2 , Phys. Rev. 96
1954
Earlier work this paper cites.
F. E. Low, Bremsstrahlung of very low-energy quanta in elementary particle collisions , Phys. Rev. 110
1958
Earlier work this paper cites.
W. M. Tulczyjew, Motion of multipole particles in general relativity theory , Acta Phys. Polon. 18
1959
Earlier work this paper cites.
S. Weinberg, Infrared photons and gravitons , Phys. Rev. 140
1965
Earlier work this paper cites.
D. J. Gross and R. Jackiw, Low-Energy Theorem for Graviton Scattering , Phys. Rev. 166
1968
Earlier work this paper cites.
R. Jackiw, Low-Energy Theorems for Massless Bosons: Photons and Gravitons , Phys. Rev. 168
1968
Earlier work this paper cites.
S. Weinberg, Dynamic and Algebraic Symmetries , in Proceedings, 13th Brandeis University Summer Institute in Theoretical Physics, Lectures On Elementary Particles and Quantum Field Theory: Waltham, MA, USA, June 15 - July 24 1970 , (Cambridge, Mass.), pp. 283–393, Deser, Stanley (ed.). Massachusetts Inst. of Tech. Press, 1970, https://mitpress.mit.edu/index.php?q=books/lectures-elementary-particles-and-quantum-field-theory
1970
Earlier work this paper cites.
M. J. Duff, Quantum Tree Graphs and the Schwarzschild Solution , Phys. Rev. D7
1973
Earlier work this paper cites.
J. Frenkel and J. C. Taylor, Exponentiation of Leading Infrared Divergences in Massless Yang-Mills Theories , Nucl. Phys. B116
1976
Earlier work this paper cites.
K. Westpfahl, High-Speed Scattering of Charged and Uncharged Particles in General Relativity , Fortschritte der Physik 33
1985
Earlier work this paper cites.
D. N. Kabat and M. Ortiz, Eikonal quantum gravity and Planckian scattering , Nucl. Phys. B388
1992
Earlier work this paper cites.
J. F. Donoghue, General relativity as an effective field theory: The leading quantum corrections , Phys.Rev. D50
1994
Earlier work this paper cites.
Z. Bern and G. Chalmers, Factorization in one loop gauge theory , Nucl.Phys. B447
1995
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, J. F. Donoghue and B. R. Holstein, Quantum corrections to the Schwarzschild and Kerr metrics , Phys. Rev. D68
2003
Earlier work this paper cites.
E. Witten, Perturbative gauge theory as a string theory in twistor space , Commun.Math.Phys. 252
2004
Earlier work this paper cites.
N. Bjerrum-Bohr, D. C. Dunbar, H. Ita, W. B. Perkins and K. Risager, MHV-vertices for gravity amplitudes , JHEP 0601
2006
Earlier work this paper cites.
N. Arkani-Hamed, F. Cachazo and J. Kaplan, What is the Simplest Quantum Field Theory? , JHEP 09
Original
2010
Earlier work this paper cites.
W. D. Goldberger and A. Ross, Gravitational radiative corrections from effective field theory , Phys. Rev. D81
Original
2010
Earlier work this paper cites.

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