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arXiv 2212.02572gr-qcastro-ph.CO
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关于LISA对大质量黑洞双星并合短寿命信号观测科学性能的研究

On the LISA science performance in observations of short-lived signals from massive black hole binary coalescences

Geraint Pratten, Antoine Klein, Christopher J. Moore, Hannah Middleton, Nathan Steinle, Patricia Schmidt, Alberto Vecchio

AI总结:

研究在最悲观情况下LISA对大质量黑洞双星并合短寿命信号的观测性能,发现高阶多极矩使LISA能准确测量物理参数、红移并约束天空位置。

摘要:

大质量黑洞双星系统的观测是Laser Interferometer Space Antenna (LISA)的主要科学目标之一。该仪器的设计要求最近被修订:在$0.1\\,\mathrm{mHz}$处设定了一个要求,在更低频率下没有额外的明确要求。这对观测大质量和高红移双星并合产生的短寿命信号有影响。这里我们考虑最悲观的情况:LISA在$0.1\\,\mathrm{mHz}$以下没有灵敏度(不太可能的情况)。我们表明,这些系统的引力辐射中存在高阶多极矩(超出主导的$\ell = |m| = 2$模式),其总信噪比$\sim 10^3$可被探测到,这使LISA能够保持准确测量物理参数和红移以及约束天空位置的能力。为说明这一点,我们考虑了总(红移)质量在$4 \times10^6 - 4 \times 10^7\\,M_\odot$范围内的几个选定双星,其($\ell = |m| = 2$)引力波信号在频带内持续约12小时至约20天。我们使用高精度的(自旋对齐)波形近似IMRPhenomXHM对发射的引力辐射进行建模,并在LISA噪声正交时延干涉测量通道上进行了完全相干的贝叶斯分析。

英文摘要:

The observation of massive black hole binary systems is one of the main science objectives of the Laser Interferometer Space Antenna (LISA). The instrument's design requirements have recently been revised: they set a requirement at $0.1\,\mathrm{mHz}$, with no additional explicit requirements at lower frequencies. This has implications for observations of the short-lived signals produced by the coalescence of massive and high-redshift binaries. Here we consider the most pessimistic scenario: the (unlikely) case in which LISA has no sensitivity below $0.1\,\mathrm{mHz}$. We show that the presence of higher multipoles (beyond the dominant $\ell = |m| = 2$ mode) in the gravitational radiation from these systems, which will be detectable with a total signal-to-noise ratio $\sim 10^3$, allows LISA to retain the capability to accurately measure the physical parameters, the redshift, and to constrain the sky location. To illustrate this point, we consider a few select binaries in a total (redshifted) mass range of $4 \times10^6 - 4 \times 10^7\,M_\odot$ whose ($\ell = |m| = 2$) gravitational-wave signals last between $\approx 12$ hours and $\approx 20$ days in band. We model the emitted gravitational radiation using the highly accurate (spin-aligned) waveform approximant IMRPhenomXHM and carry out a fully coherent Bayesian analysis on the LISA noise-orthogonal time-delay-interferometry channels.

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