标题： 辐射爱：绝热潮汐流和模态高达后牛顿下一阶的次下一阶 显示英文标题

标题： Radiating Love: adiabatic tidal fluxes and modes up to next-to-next-to-leading post-Newtonian order

摘要： 我们展示了在后牛顿（post-Newtonian）近似中，考虑潮汐效应时，螺旋紧致双星系统的引力能量和角动量流的解析计算，达到了次次领头阶（2PN）的精度，并采用有效场论图示法。 首先，我们计算双星系统的应力-能量张量，这需要评估至两圈的两点费曼积分。 然后，我们提取系统的多极矩，这些多极矩以质心坐标形式给出适用于一般轨道的情况，并且对于一般轨道下总引力能量和角动量流的计算是必需的。 最后，我们给出了圆轨道情况下诸如流、发射的引力波模式幅度和相位等规范不变量的表达式。 我们的研究结果有助于更新早期的理论研究以及相关的现象学分析和波形模型。 显示英文摘要

摘要： We present the analytic evaluation of the gravitational energy and of the angular momentum flux with tidal effects for inspiraling compact binaries, at next-to-next-to-leading post-Newtoian (2PN) order, within the effective field theory diagrammatic approach. We first compute the stress-energy tensor for a binary system, that requires the evaluation of two-point Feynman integrals, up to two loops. Then, we extract the multipole moments of the system, which we present for generic orbits in center-of-mass coordinates, and which are needed for the evaluation of the total gravitational energy and the angular momentum flux, for generic orbits. Finally, we provide the expression of gauge invariant quantities such as the fluxes, and the mode amplitudes and phase of the emitted gravitational wave, for circular orbits. Our findings are useful to update earlier theoretical studies as well as related phenomenological analyses, and waveform models