In this paper we derive for the first time the complete gravitational quartic-in-spin interaction of generic compact binaries at the next-to-leading order in the post-Newtonian (PN) expansion. The derivation builds on the effective field theory for gravitating spinning objects, and its recent extensions, in which new type of worldline couplings should be considered, as well as on the extension of the effective action of a spinning particle to quadratic order in the curvature. The latter extension entails a new Wilson coefficient that appears in this sector. This work pushes the precision frontier with spins at the fifth PN (5PN) order for maximally-spinning compact objects, and at the same time informs us of the gravitational Compton scattering with higher spins.

中文翻译：

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NLO 引力四次自旋相互作用

在本文中，我们首次推导出了后牛顿 (PN) 展开中的次先序顺序的通用紧凑双星的完整引力四次自旋相互作用。该推导建立在引力自旋物体的有效场理论及其最近的扩展之上，其中应考虑新型世界线耦合，以及将自旋粒子的有效作用扩展到曲率的二次阶。后一个扩展需要出现在该部门中的新威尔逊系数。这项工作推动了具有最大自旋致密物体的第五个 PN (5PN) 阶自旋的精度前沿，同时告诉我们具有更高自旋的引力康普顿散射。