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arXiv 1906.09244astro-ph.COgr-qchep-phhep-th
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用LISA重建随机引力波背景的谱形

Reconstructing the spectral shape of a stochastic gravitational wave background with LISA

Chiara Caprini, Daniel G. Figueroa, Raphael Flauger, Germano Nardini, Marco Peloso, Mauro Pieroni, Angelo Ricciardone, Gianmassimo Tasinato

摘要:

我们提出了一套工具来评估LISA的能力,以检测和重建的频谱形状和振幅的随机引力波背景(SGWB)。我们首先提供LISA幂律灵敏度曲线和分级幂律灵敏度曲线,基于LISA设计的最新更新。这些曲线有助于对SGWB的检测和重建前景进行定性评估。为了定量重建任意功率谱形状的SGWB,我们提出了一种新的数据分析技术:通过自动化的自适应过程,我们方便地将LISA灵敏度频带划分为频段,并将每个频段内的数据与幂律信号加上仪器噪声模型相匹配。我们应用该程序的SGWB信号具有各种代表性的频率剖面,并证明LISA可以重建其频谱形状。我们的程序,在代码SGWBinner中实现,适用于均匀和各向同性的SGWBs在LISA检测,它也有望为其他引力波天文台工作。

英文摘要:

We present a set of tools to assess the capabilities of LISA to detect and reconstruct the spectral shape and amplitude of a stochastic gravitational wave background (SGWB). We first provide the LISA power-law sensitivity curve and binned power-law sensitivity curves, based on the latest updates on the LISA design. These curves are useful to make a qualitative assessment of the detection and reconstruction prospects of a SGWB. For a quantitative reconstruction of a SGWB with arbitrary power spectrum shape, we propose a novel data analysis technique: by means of an automatized adaptive procedure, we conveniently split the LISA sensitivity band into frequency bins, and fit the data inside each bin with a power law signal plus a model of the instrumental noise. We apply the procedure to SGWB signals with a variety of representative frequency profiles, and prove that LISA can reconstruct their spectral shape. Our procedure, implemented in the code SGWBinner, is suitable for homogeneous and isotropic SGWBs detectable at LISA, and it is also expected to work for other gravitational wave observatories.

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