论文标题
已知未知数:评估仪器校准不确定性对丽莎科学的影响
Known unknowns: assessing the impact of instrumental calibration uncertainty on LISA science
论文作者
论文摘要
未来空间的重力波干涉仪LISA的主要科学结果来自各种引力源的参数推断。但是,校准误差的存在可能会降低系统参数的测量精度。在这里,我们评估了校准不确定性对单个来源参数估计的影响,重点是巨大的黑洞,极端质量比率灵感(EMRIS),银河系二进制文件和出色的起源黑洞二进制文件。使用Fisher矩阵形式主义,我们研究了源参数的测量精度如何降解,这是假定校准不确定性的大小的函数。如果我们要求在没有校准误差的情况下将参数测量值降低不超过两倍,那么我们发现校准误差应小于幅度的十分之一百分之十,而相位的$ 10^{ - 3} $。我们还研究了使用验证二进制文件和EMRI来限制校准不确定性的可能性。验证二进制文件可以限制几个百分点的幅度校准不确定性,而两种源类型都可以在几个$ \ times10^{ - 2} $的级别提供约束相位校准。
The primary scientific results of the future space-based gravitational wave interferometer LISA will come from the parameter inference of a large variety of gravitational wave sources. However, the presence of calibration errors could potentially degrade the measurement precision of the system parameters. Here, we assess the impact of calibration uncertainties on parameter estimation for individual sources, focusing on massive black holes, extreme-mass-ratio inspirals (EMRIs), galactic binaries, and stellar origin black hole binaries. Using a Fisher matrix formalism, we investigate how the measurement precision of source parameters degrades as a function of the size of the assumed calibration uncertainties. If we require that parameter measurements are degraded by no more than a factor of two relative to their value in the absence of calibration error, we find that calibration errors should be smaller than a few tenths of a percent in amplitude and $10^{-3}$ in phase. We also investigate the possibility of using verification binaries and EMRIs to constrain calibration uncertainties. Verification binaries can constrain amplitude calibration uncertainties at the level of a few percent, while both source types can provide constrain phase calibration at the level of a few$\times10^{-2}$.