标题： 信号多极矩中反对称贡献对黑洞自旋测量的影响 显示英文标题

标题： Impact of anti-symmetric contributions to signal multipoles in the measurement of black-hole spins

摘要： 许多当前关于进动黑洞双星引力波信号的模型忽略了$\pm m$多极矩中的不对称性。 这种不对称性较弱，但会导致平面外的反冲，对于最终的黑洞来说，反冲速度可达几千公里/秒。 在本工作中，我们表明多极矩的不对称性对于准确测量黑洞自旋也是必要的。 我们考虑了从数值相对论代理模型 NRSur7dq4 计算出的合成信号，该模型包含了多极矩的不对称性，并使用该模型的两个版本（一个包含多极矩不对称性，另一个不包含）来测量信号参数。 我们发现，在高信噪比观测中，当自旋大小和方向原则上可以被准确测量时，忽略多极矩的不对称性可能导致这些量的测量出现偏差。 对黑洞质量以及标准对齐自旋组合$\chi_{\rm eff}$的测量通常不会受到显著影响。 作为多极矩不对称性对真实信号影响的例证，我们考虑了 LVK 观测 GW200129_065458，发现包含多极矩不对称性是识别该双星为非等质量且主星具有高平面内自旋的必要条件。 显示英文摘要

摘要： Many current models for the gravitational-wave signal from precessing black-hole binaries neglect an asymmetry in the $\pm m$ multipoles. The asymmetry is weak, but is responsible for out-of-plane recoil, which for the final black hole can be several thousand km/s. In this work we show that the multipole asymmetry is also necessary to accurately measure the black-hole spins. We consider synthetic signals calculated from the numerical relativity surrogate model NRSur7dq4, which includes the multipole asymmetry, and measure the signal parameters using two versions of the same model, one with and one without the multipole asymmetry included. We find that in high signal-to-noise-ratio observations where the spin magnitude and direction can in principle be measured accurately, neglecting the multipole asymmetry can result in biased measurements of these quantities. Measurements of the black-hole masses and the standard aligned-spin combination $\chi_{\rm eff}$ are not in general strongly affected. As an illustration of the impact of the multipole asymmetry on a real signal we consider the LVK observation GW200129_065458, and find that the inclusion of the multipole asymmetry is necessary to identify the binary as unequal-mass and a high in-plane spin in the primary.