发表机构
Inter-University Centre for Astronomy and Astrophysics; Canadian Institute for Theoretical Astrophysics, University of Toronto（天文与天体物理大学中心; 多伦多大学加拿大理论天体物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文为高阶模态波形模型推导LOSA的相位与振幅修正，证明其对GW190814等不对称双星参数估计至关重要，并指出文献中相关实现的不一致。
AI 中文摘要
准圆致密双星并合（CBC）质心的恒定视线加速度（LOSA）会在引力波（GW）波形中引起-4后牛顿（PN）阶的调制。在我们先前的工作中，我们仅计算了（ℓ,m）=（2,2）模态的相位和振幅修正。引力波事件GW190814最近引起了相当大的关注，因为它被认为提供了非零LOSA的证据。然而，对GW190814的几项LOSA分析采用了高阶模态波形模型，如IMRPhenomXPHM，同时仅将LOSA修正纳入主导（2,2）模态。这种近似假设忽略这些修正对参数估计的影响可忽略不计。在本文中，我们通过推导相应的相位和振幅修正，在更高阶模态波形模型中实现了LOSA的自洽实现。我们表明，这些修正对于像GW190814这样的不对称双星系统至关重要，忽略它们会使参数推断产生偏差。我们还讨论了文献中包括高阶模态的波形模型中LOSA修正推导和实现的不一致之处。
英文摘要
A constant line-of-sight acceleration (LOSA) of the centre-of-mass of a quasi-circular compact binary coalescence (CBC) leads to modulations in the gravitational-wave (GW) waveform at $-4$ post-Newtonian (PN) order. In our previous work, we calculated the phase and amplitude corrections only for the $(\ell,m) = (2,2)$ mode. The gravitational wave event GW190814 has recently attracted considerable attention because it has been suggested to provide evidence for a nonzero LOSA. However, several LOSA analyses of GW190814 employ higher-order-mode waveform models, such as \texttt{IMRPhenomXPHM}, while incorporating LOSA corrections only for the dominant (2,2) mode. This approximation assumes that their omission has a negligible impact on parameter estimation. In this paper, we present a self-consistent implementation of LOSA in a higher-mode waveform model by deriving the corresponding phase and amplitude corrections. We show that these corrections are essential for asymmetric binaries such as GW190814 and that neglecting them biases parameter inference. We also discuss inconsistencies in the derivation and implementation of LOSA corrections in waveform models in the literature that include higher-order modes.
