由反么正性引起的引力韧致辐射
Gravitational Bremsstrahlung from Reverse Unitarity
摘要：
我们计算了两个无自旋黑洞在最低阶牛顿常数$\mathcal O(G^3)$和所有阶速度下散射过程中引力波携带的总辐射动量。通过解析延拓到束缚态区域，我们得到了椭圆轨道上的${\cal O}(G^3)$能量损失。这为完全理解第三后闵可夫斯基双星动力学提供了必要的一步。我们采用Kosower，Maybee和O 'Connell（KMOC）的形式主义，它将经典的可观测量与量子散射振幅联系起来，并利用广义么正性导出相关的被积函数。随后的相空间积分是通过从对撞机物理学熟悉的反向酉方法，使用微分方程，以获得精确的速度依赖于近静态边界条件。
英文摘要：
We compute the total radiated momentum carried by gravitational waves during the scattering of two spinless black holes at the lowest order in Newton's constant, $\mathcal O(G^3)$, and all orders in velocity. By analytic continuation into the bound state regime, we obtain the ${\cal O}(G^3)$ energy loss in elliptic orbits. This provides an essential step towards the complete understanding of the third-post-Minkowskian binary dynamics. We employ the formalism of Kosower, Maybee, and O'Connell (KMOC) which relates classical observables to quantum scattering amplitudes and derive the relevant integrands using generalized unitarity. The subsequent phase-space integrations are performed via the reverse unitarity method familiar from collider physics, using differential equations to obtain the exact velocity dependence from near-static boundary conditions.
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