单圈引力轫致辐射与重质量有效场论中的波形
One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
AI总结：
本文利用重质量有效场论计算了后闵可夫斯基展开下次领头阶的双无自旋黑洞或中子星散射的单圈引力轫致辐射振幅，并数值得到修正后的频谱和时域波形。
摘要：
利用重质量有效场论（HEFT），我们研究了在Post-Minkowskian展开的次领头阶下，两个无自旋黑洞或任意质量中子星散射过程中的引力波发射。我们计算了与波形计算相关的四标量一引力子的单圈散射振幅的贡献，并给出了四标量及最多两个辐射引力子的经典树级振幅表达式。后者是通过一种新颖的、适用于四标量及任意数量引力子的经典振幅的壳上递推关系获得的。我们的单圈五点振幅用一族主积分表示，并采用线性化有质量传播子的主值处方，通过微分方程对其进行计算。在我们的HEFT方法中，所有超经典迭代和振幅的量子修正都在图层面被丢弃，从而直接计算经典物理的贡献。我们的结果展示了红外发散预期的因子化、正确的软极限以及虚假极点的高度非平凡相消。最后，利用我们的振幅结果，我们数值计算了相应的次领头阶修正，包括频谱波形和远场时域波形，后者使用Newman-Penrose标量$\Psi_4$。
英文摘要：
Using a heavy-mass effective field theory (HEFT), we study gravitational-wave emission in the scattering of two spinless black holes or neutron stars of arbitrary masses at next-to-leading order in the Post-Minkowskian expansion. We compute the contributions to the one-loop scattering amplitude with four scalars and one graviton which are relevant to the calculation of the waveforms, also presenting expressions of classical tree-level amplitudes with four scalars and up to two radiated gravitons. The latter are obtained using a novel on-shell recursion relation for classical amplitudes with four scalars and an arbitrary number of gravitons. Our one-loop five-point amplitude is expressed in terms of a single family of master integrals with the principal value prescription for linearised massive propagators, which we evaluate using differential equations. In our HEFT approach all hyper-classical iterations and quantum corrections to the amplitude are dropped at the diagrammatic level, thereby computing directly contributions to classical physics. Our result exhibits the expected factorisation of infrared divergences, the correct soft limits, and highly nontrivial cancellations of spurious poles. Finally, using our amplitude result we compute numerically the corresponding next-to-leading corrections to the spectral waveforms and the far-field time-domain waveforms using the Newman-Penrose scalar $Ψ_4$.
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