A-BHPT-toolkit：用于引力散射振幅的解析黑洞微扰理论软件包
A-BHPT-toolkit: Analytic Black Hole Perturbation Theory Package for Gravitational Scattering Amplitudes
AI总结：
本文开发了首个公开软件包A-BHPT-toolkit，在MST框架内实现黑洞微扰理论中引力散射振幅的解析与数值计算，并计算了无质量场在Kerr黑洞上散射到第三PM阶的相移和非弹性参数。
摘要：
有效场论（EFT）和散射振幅在引力问题中的应用近年来产生了许多独特成果，推进了我们对致密双星动力学的理解。其中许多成果之所以成为可能，是因为将EFT中的引力散射振幅与广义相对论的精确表达式进行了比较。然而，后者并不容易获得，因为它们需要求解Teukolsky主方程的复杂技术，例如Mano-Suzuki-Takasugi（MST）方法。在本文中，我们开发并发布了首个公开软件包，能够在MST框架内进行黑洞微扰理论中的引力散射振幅计算。我们的软件包既支持在低频极限下对给定后闵可夫斯基（PM）阶数的解析计算，也支持对扰动场任意频率的精确数值计算。作为应用，我们计算了无质量自旋0、1和2场在旋转Kerr黑洞上散射产生的散射相移和非弹性参数，计算到第三PM阶，并将这些结果与精确数值解进行了比较。
英文摘要：
Applications of effective field theory (EFT) and scattering amplitudes to gravitational problems have recently produced many unique results that advanced our understanding of the dynamics of compact binaries. Many of these results were made possible by comparing gravitational scattering amplitudes in EFT with exact expressions from general relativity. However, the latter expressions are not easily available as they require intricate solution techniques for the Teukolsky master equation, such as the Mano-Suzuki-Takasugi (MST) method. In this paper, we develop and present the first public package that enables computations of gravitational scattering amplitudes in black hole perturbation theory within the MST framework. Our package supports both analytic computations to a given post-Minkowskian (PM) order in the low-frequency limit and exact numerical computations for an arbitrary frequency of the perturbing field. As an application, we compute scattering phase shifts and inelasticity parameters for massless spin - 0, 1, and 2 fields resulting from scattering off a rotating Kerr black hole through the third PM order and compare these results with the exact numerical solutions.
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