标题： 自旋后牛顿有效场论：1SF波形递归关系和康普顿散射 显示英文标题

标题： The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering

摘要： 在最近方法的基础上，我们开发了一种有效场理论，用于描述建模Kerr黑洞的自旋粒子在引力自力展开中的相互作用。 为了将维度正则化纳入这个框架，我们分析了来自最小耦合解的高维度度规，并将其与Myers-Perry黑洞及其粒子描述进行比较。 然后，我们推导出至自旋展开二次阶的1SF自力有效作用量，识别出一种新的自旋反冲项，该术语来源于对重动力学的积分。 接下来，我们从传统的自力观点以及通过图示背景场展开来研究1SF度规扰动，与辐射波形建立联系。 这使我们考虑了弯曲空间1SF康普顿振幅的新递归关系，我们在波 regime 中对其进行了研究，并与Kerr的平坦空间一环康普顿振幅进行比较，直至自旋的二次阶。 最后，我们在射线近似 regime 中研究了1SF自旋康普顿振幅，阐明了强场效应——如分隔面的位置——如何从微扰弱场展开的重新求和中出现。 显示英文摘要

摘要： Building on recent approaches, we develop an effective field theory for the interaction of spinning particles modeling Kerr black holes within the gravitational self-force expansion. To incorporate dimensional regularization into this framework, we analyze the higher-dimensional metric arising from the minimal coupling solution, comparing it against the Myers-Perry black hole and its particle description. We then derive the 1SF self-force effective action up to quadratic order in the spin expansion, identifying a new type of spinning recoil term that arises from integrating out the heavy dynamics. Next, we study the 1SF metric perturbation both from the traditional self-force perspective and through the diagrammatic background field expansion, making contact with the radiative waveform. This leads us to consider a novel recursion relation for the curved space 1SF Compton amplitude, which we study up to one-loop in the wave regime and compare with the flat space one-loop Compton for Kerr up to quadratic order in spin. Finally, we investigate the 1SF spinning Compton amplitude in the eikonal regime, clarifying how strong-field effect -- such as the location of the separatrix -- emerge from the resummation of the perturbative weak-field expansion.