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 $G^3$ 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)].

中文翻译：

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对 G 中三阶经典引力散射的辐射贡献

在广义相对论的后闵可夫斯基方法中工作，我们证明了在两个（经典）点质量的大影响参数散射期间对引力波发射的辐射反应通过阶次的额外贡献修改了保守散射角$G^3$ 涉及与 Bern 等人的第三个后 Minkowskian 结果中包含的符号相反的高能量（或无质量）对数发散。[物理。牧师莱特。{\bf 122}, 201603 (2019)]。所得辐射反应校正（经典）散射角的高能量极限是有限的，并且被发现与 Amati、Ciafaloni 和 Veneziano [Nucl. 物理。B {\bf 347}, 550 (1990)]。