论文标题
$ O（g^6）$：扰动引力散射符合实验数学的引力动力学
Gravitational dynamics at $O(G^6)$: perturbative gravitational scattering meets experimental mathematics
论文作者
论文摘要
最近引入的二进制系统重力动力学的方法涉及复杂的积分，与在经典重力散射的5循环水平上产生的非本地时间相互作用有关。我们以牛顿常数（$ g $）以及纽顿后第六次的牛顿准确性的第六顺序对经典重力散射进行了分析评估。我们使用开发的计算技术来评估多环Feynman积分，以两种方式获得我们的结果：高精度算术，产生重建的分析表达式，并直接集成{\ iT}谐波pologogarithms。尾部对散射的贡献的分析表达涉及重量四的先验常数。
A recently introduced approach to the gravitational dynamics of binary systems involves intricate integrals, linked to nonlocal-in-time interactions arising at the 5-loop level of classical gravitational scattering. We complete the analytical evaluation of classical gravitational scattering at the sixth order in Newton's constant, $G$, and at the sixth post-Newtonian accuracy. We use computing techniques developed for the evaluation of multi-loop Feynman integrals to obtain our results in two ways: high-precision arithmetic, yielding reconstructed analytic expressions, and direct integration {\it via} Harmonic Polylogarithms. The analytic expression of the tail contribution to the scattering involve transcendental constants up to weight four.
