Radiative classical gravitational observables at O ( G 3 ) from scattering amplitudes
Radiative classical gravitational observables at O ( G 3 ) from scattering amplitudes
复制标题
来自散射振幅的 O ( G 3 ) 处的辐射经典引力可观测量
DOI：
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
M. Zeng
中科院分区：
文献类型：
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作者：
Enrico Herrmann;Julio Parra;M. Zeng
本文计算了广义相对论中两个无自旋黑洞散射的经典引力观测值和Kosower，Maybee，and O'Connell（KMOC）形式的N=8超引力观测值。我们主要研究了黑洞中辐射反应的引力冲量和辐射动量在O（G3）处散射到速度的各个阶。这些经典的可观测量需要建设和评估的某些回路水平的数量，这是大大简化了利用散射振幅和对撞机物理的最新进展。特别地，我们利用广义么正性来构造相关的回路被积函数，采用逆么正性、区域方法、分部积分（IBP）和（正则）微分方程来简化和计算所有回路和相空间积分，以获得两个回路阶的经典引力观测值。KMOC形式主义自然地包含了辐射效应，这使我们能够超越保守的两体动力学来探索这些经典量。从冲量和辐射动量中提取散射角和辐射能量。最后讨论了高能极限下冲量的普适性及其与程函相位的关系。
We compute classical gravitational observables for the scattering of two spinless black holes in general relativity and N=8 supergravity in the formalism of Kosower, Maybee, and O’Connell (KMOC). We focus on the gravitational impulse with radiation reaction and the radiated momentum in black hole scattering at O(G3) to all orders in the velocity. These classical observables require the construction and evaluation of certain loop-level quantities which are greatly simplified by harnessing recent advances from scattering amplitudes and collider physics. In particular, we make use of generalized unitarity to construct the relevant loop integrands, employ reverse unitarity, the method of regions, integration-by-parts (IBP), and (canonical) differential equations to simplify and evaluate all loop and phase-space integrals to obtain the classical gravitational observables of interest to two-loop order. The KMOC formalism naturally incorporates radiation effects which enables us to explore these classical quantities beyond the conservative two-body dynamics. From the impulse and the radiated momentum, we extract the scattering angle and the radiated energy. Finally, we discuss universality of the impulse in the high-energy limit and the relation to the eikonal phase.
影响因子：
5.4
作者：
D. Kosower;Ben Maybee;D. O’Connell
通讯作者：
D. Kosower;Ben Maybee;D. O’Connell
影响因子：
8.6
作者：
Abbott, B. P.;Abbott, R.;Zweizig, J.
通讯作者：
Zweizig, J.