从振幅得到的次领头阶散射波形
The Sub-Leading Scattering Waveform from Amplitudes
AI总结：
本文通过振幅方法计算经典广义相对论和N=8超引力中黑洞散射波形的次领头阶项，提出判定振幅贡献的标准，并验证两种构造方法的一致性，揭示经典红外发散与延迟时间定义等新特征。
摘要：
我们计算了经典广义相对论中不带电黑洞以及$\mathcal{N}=8$超引力中半BPS黑洞的散射波形的次领头阶项。我们提出了推广次领头阶显式计算的标准，用于确定振幅中对局部可观测量有贡献的项。对于广义相对论，我们通过广义幺正性以两种不同方式构造相关的经典被积函数：（1）在重粒子有效理论中，（2）在与标量场最小耦合的广义相对论中。在前者中采用合适的物质传播子方案后，我们发现两种方法一致，从而证明了量子贡献与经典奇性贡献之间不存在干涉。对于大质量标量场的经典$\mathcal{N}=8$被积函数，我们通过已知的五点单圈被积函数的维度约化来构造。与保守计算和包含性可观测量相比，我们的计算展现出新颖特征，例如出现具有相交物质线的master积分，以及出现经典红外发散，而该发散从经典可观测量中消失需要合适地定义延迟时间。
英文摘要：
We compute the next-to-leading order term in the scattering waveform of uncharged black holes in classical general relativity and of half-BPS black holes in $\mathcal{N}=8$ supergravity. We propose criteria, generalizing explicit calculations at next-to-leading order, for determining the terms in amplitudes that contribute to local observables. For general relativity, we construct the relevant classical integrand through generalized unitarity in two distinct ways, (1) in a heavy-particle effective theory and (2) in general relativity minimally-coupled to scalar fields. With a suitable prescription for the matter propagator in the former, we find agreement between the two methods, thus demonstrating the absence of interference of quantum and classically-singular contributions. The classical $\mathcal{N}=8$ integrand for massive scalar fields is constructed through dimensional reduction of the known five-point one-loop integrand. Our calculation exhibits novel features compared to conservative calculations and inclusive observables, such as the appearance of master integrals with intersecting matter lines and the appearance of a classical infrared divergence whose absence from classical observables requires a suitable definition of the retarded time.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
