论文标题
保守的二进制动力学，带有$ \ MATHCAL {o}（g^3）$的旋转黑洞从散射振幅中
Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
论文作者
论文摘要
我们计算一个紧凑型二进制系统的保守的两体哈密顿量，其通过$ \ MATHCAL {O}（g^3）$旋转的黑洞（g^3）$，包括速度的所有订单，包括线性和二次旋转项。为了获得我们的结果，我们计算了两回路振幅的经典极限，以使巨大的标量粒子的散射具有巨大的自旋-1粒子最小耦合到重力。我们采用现代的散射幅度和循环集成技术，特别是数值单位性，逐个组成的身份和区域方法。通过与非权威的有效野外理论匹配，提取了在静flame旋转矢量方面的保守潜力。我们还应用了Kosower-maybee-o'Connell（KMOC）形式主义，以直接从振幅中计算出脉动旋转形式中的脉冲。我们在常规维度正则化中系统地工作，并明确评估所有出现在全面有效理论振幅以及在KMOC形式上出现的相位积分中的不同积分。
We compute the conservative two-body Hamiltonian of a compact binary system with a spinning black hole through $\mathcal{O}(G^3)$ to all orders in velocity, including linear and quadratic spin terms. To obtain our results we calculate the classical limit of the two-loop amplitude for the scattering of a massive scalar particle with a massive spin-1 particle minimally coupled to gravity. We employ modern scattering amplitude and loop integration techniques, in particular numerical unitarity, integration-by-parts identities, and the method of regions. The conservative potential in terms of rest-frame spin vectors is extracted by matching to a non-relativistic effective field theory. We also apply the Kosower-Maybee-O'Connell (KMOC) formalism to calculate the impulse in the covariant spin formalism directly from the amplitude. We work systematically in conventional dimensional regularization and explicitly evaluate all divergent integrals that appear in full- and effective-theory amplitudes, as well as in the phase-space integrals that arise in the KMOC formalism.
