论文标题

丽莎的随机重力波背景的光谱分离:观察宇宙学和天体物理背景

Spectral separation of the stochastic gravitational-wave background for LISA: observing both cosmological and astrophysical backgrounds

论文作者

Boileau, Guillaume, Christensen, Nelson, Meyer, Renate, Cornish, Neil J.

论文摘要

为了试图观察具有LISA随机引力背景(SGWB)的目的,宇宙学和天体物理背景的光谱可分离性对于估计很重要。我们试图确定可以在预测的天体物理背景水平的情况下确定可以观察到宇宙学背景的水平。我们预测SGWB未来LISA测量的可检测限制。自适应马尔可夫链蒙特卡洛方法用于通过Lisa数据挑战(LDC)的模拟数据产生估计值。我们还使用晶体可能性根据逆渔获物信息来计算SGWB参数不确定性方差的Cramer-Rao下限。参数的估计是通过3个Lisa Channels $ a $,$ e $和$ t $进行的。我们使用LISA噪声模型同时估计噪声。假设有预期的天体物理背景,则可以通过Lisa检测到$ω________________________10^{ - 12} $的宇宙学背景能量密度约1 \ times 10^{ - 12} $ 10^{ - 13} $。

With the goal of attempting to observe a stochastic gravitational wave background (SGWB) with LISA, the spectral separability of the cosmological and astrophysical backgrounds is important to estimate. We attempt to determine the level with which a cosmological background can be observed given the predicted astrophysical background level. We predict detectable limits for the future LISA measurement of the SGWB. Adaptive Markov chain Monte-Carlo methods are used to produce estimates with the simulated data from the LISA Data challenge (LDC). We also calculate the Cramer-Rao lower bound on the variance of the SGWB parameter uncertainties based on the inverse Fisher Information using the Whittle Likelihood. The estimation of the parameters is done with the 3 LISA channels $A$, $E$, and $T$. We simultaneously estimate the noise using a LISA noise model. Assuming the expected astrophysical background, a cosmological background energy density of around $Ω_{GW,Cosmo} \approx 1 \times 10^{-12}$ to $1 \times 10^{-13}$ can be detected by LISA.

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