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Radiative contribution to classical gravitational scattering at the third order in G

2020/10/04 by Thibault Damour · 1 citation
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.1103/physrevd.102.124008

10 pages, no figures

arxiv created 2020/10/04 · arxiv updated 2020/12/09

Abstract

Working within the post-Minkowskian approach to General Relativity, we prove that the radiation-reaction to the emission of gravitational waves during the large-impact-parameter scattering of two (classical) point masses modifies the conservative scattering angle by an additional contribution of order G3 which involves a high-energy (or massless) logarithmic divergence of opposite sign to the one contained in the third-post-Minkowskian result of Bern et al. [Phys. Rev. Lett. \bf 122, 201603 (2019)]. The high-energy limit of the resulting radiation-reaction-corrected (classical) scattering angle is finite, and is found to agree with the one following from the (quantum) eikonal-phase result of Amati, Ciafaloni and Veneziano [ Nucl. Phys. B \bf 347, 550 (1990)].

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