论文标题
偏心率在参数估计紧凑型二元灵感的参数估计中的重要性
Importance of eccentricities in parameter estimation of compact binary inspirals with decihertz gravitational-wave detectors
论文作者
论文摘要
在其灵感阶段，二进制黑洞（BBH）产生了特征性的引力波（GW）信号。 GW信号的波形可以通过BBH的物理参数来描述，例如黑洞的质量和轨道偏心率。这些参数的精确估计对于GW天体物理学至关重要。在精度方面，Decihertz GW探测器是有希望的建议，因为它们预计使我们能够获得恒星质量BBH的高度精确参数估计。但是，高精度参数估计需要准确的GW波形建模。否则，估计参数可能会出现系统错误。我们强调考虑轨道偏心率在构建准确的GW波形模型中的重要性。 B-Decigo和Magis用作Decihertz GW探测器的基准。我们研究了系统误差对恒星质量BBH灵感的重要性。我们发现，准圆形GW波形模型对BBH表现出严重的系统错误，而GW频率$ 0.1 \，\ text {hz} $很小的偏心$ \ sim 10^{ - 4} $。通过将领先校正与小于0.01相关的偏心率相关的GW相位演化，可以实质上提高建模精度。偏心率引起的高阶牛顿后校正仅对于大于0.01的偏心率应该很重要。
During its inspiral stage, a binary black hole (BBH) produces characteristic gravitational wave (GW) signals. The waveform of the GW signals can be described by the physical parameters of BBH, such as the masses of the black holes and the orbital eccentricity. Precise and accurate estimation of these parameters is crucial for GW astrophysics. In the aspect of precision, decihertz GW detectors are promising proposals, as they are anticipated to allow us to obtain highly precise parameter estimations for stellar-mass BBHs. However, the high-precision parameter estimation requires accurate GW waveform modeling. Otherwise, systematic errors can arise in estimated parameters. We emphasize the importance of considering the orbital eccentricity in constructing an accurate GW waveform model. B-DECIGO and MAGIS are used as benchmarks for decihertz GW detectors. We examine the significance of systematic error for a population of stellar-mass BBH inspirals. We found that the quasicircular GW waveform model exhibits significant systematic errors for BBH with a very small eccentricity $\sim 10^{-4}$ at GW frequency $0.1\, \text{Hz}$. The modeling accuracy can be substantially enhanced by incorporating the leading-order correction to GW phase evolution associated with eccentricity smaller than 0.01. The higher-order post-Newtonian corrections induced by eccentricity should be important only for eccentricity larger than 0.01.
