Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes
Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes
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DOI：
10.1103/physrevd.100.066028
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发表时间：
2019-04
影响因子：
5
通讯作者：
Arnau Koemans Collado;P. Di Vecchia;R. Russo
中科院分区：
文献类型：
--
作者：
Arnau Koemans Collado;P. Di Vecchia;R. Russo
本文研究了一般时空维中不同质量的大质量标量的两体引力散射。我们专注于Regge极限（程函制度）的散射振幅，并讨论如何提取经典的信息表示两个黑洞的散射。我们推导出领先的程函，并明确地显示了第一领先的能量贡献的二阶牛顿的引力常数的remmation。我们还计算了子领先程函显示，在一般的时空维度，它收到了非平凡的贡献，从盒积分。从程函，我们提取两个黑洞之间的两体经典散射角的第二后闵可夫斯基阶（2PM）。以各种探头限制的两体散射角，我们能够显示我们的结果和文献中的各种结果之间的协议。我们强调，盒积分也有一个日志发散（在能量）的贡献，在subsubleading秩序，违反微扰酉超相对论性的限制。我们希望这一项在3PM阶程函的计算中发挥作用。
In this paper we study the two-body gravitational scattering of massive scalars with different masses in general spacetime dimensions. We focus on the Regge limit (eikonal regime) of the resulting scattering amplitudes and discuss how to extract the classical information representing the scattering of two black holes. We derive the leading eikonal and explicitly show the resummation of the first leading energy contribution up to second order in Newton's gravitational constant. We also calculate the subleading eikonal showing that in general spacetime dimensions it receives a non-trivial contribution from the box integral. From the eikonal we extract the two-body classical scattering angle between the two black holes up to the second post-Minkowskian order (2PM). Taking various probe-limits of the two-body scattering angles we are able to show agreement between our results and various results in the literature. We highlight that the box integral also has a log-divergent (in energy) contribution at subsubleading order which violates perturbative unitarity in the ultra-relativistic limit. We expect this term to play a role in the calculation of the eikonal at the 3PM order.