标题： 分离重力的尾部：通过整数分拆在第五阶及更高阶的四极尾部 显示英文标题

标题： Parting gravity's tail: quadrupole tails at fifth order and beyond via integer partitions

摘要： 这项工作研究了利用从散射振幅研究中引入的广义单位性方法对高阶引力四极尾进行系统的组织。 第一个主要结果是用于通用任意阶尾有效作用量的构造性算法，该算法将它们的环积分基展开结构与整数分拆联系起来，并预测在每个尾阶只需评估一个新的单位性切割，而所有其他贡献都可以用低环数据来表示。 该算法被用来计算尾-尾-尾-尾-尾（T$^5$）对有效作用量及引力波相关能量损失的贡献。 通过反常项提取和重整化分析验证了新的有效作用量和辐射能量，结果与已知的反常项和重整化流方程完全一致。 显示英文摘要

摘要： This work studies the systematic organization of higher-order gravitational quadrupole tails using generalized unitarity methods imported from the study of scattering amplitudes. The first major result is a constructive algorithm for generic arbitrary-order tail effective actions which links the structure of their loop integral basis expansion with integer partitions, and predicts that only a single new unitarity cut needs to be evaluated at each tail order with all other contributions given in terms of lower-loop data. The algorithm is employed to compute the tail-of-tail-of-tail-of-tail-of-tail (T$^5$) contributions to the effective action and associated energy loss to gravitational waves. Validation of the new effective action and radiated energy is done through counterterm extraction and renormalization analysis, leading to complete agreement with known counterterms and renormalization flow equations.