论文标题

Litepig:Millihertz带中引力波的Lite参数推理系统

LitePIG: A Lite Parameter Inference system for the Gravitational wave in the millihertz band

论文作者

Wang, Renjie, Hu, Bin

论文摘要

我们提出了一个基于Python的参数推理系统,用于在Millihertz频段中测得的重力波(GW)。该系统包括以下功能:GW波形起源于巨大的黑洞二进制文件(MBHB),固定的仪器高斯噪声,高阶谐波模式,时间延迟干扰法(TDI)的完整响应函数和具有动态嵌套参数参数采样的高斯可能性功能。特别是,我们强调了高阶模式的作用。通过包括这些模式,与仅领先顺序($ \ ell = 2,| m | = 2 $)模式相比,亮度距离估计精度可以大约提高50倍。这是由于不同谐波模式在倾斜角上的响应函数不同。因此,它可以帮助打破距离融合的变性。此外,我们通过使用高阶谐波来显示测试一般相对性(GR)的鲁棒性。我们的结果表明,来自MBHB的GW可以同时约束较高的谐波幅度(与GR的偏差)的四个,精度为$ C_ {21} = 0.54^{+0.61} _ { - 0.82} $ $ c_ {33} = 0.56^{+0.60} _ { - 0.76} $和$ c_ {44} = 1.57^{+2.34} _ { - 1.90} $。

We present a python based parameter inference system for the gravitational wave (GW) measured in the millihertz band. This system includes the following features: the GW waveform originated from the massive black hole binaries (MBHB), the stationary instrumental gaussian noise, the higher-order harmonic modes, the full response function from the time delay interferometry (TDI) and the gaussian likelihood function with the dynamic nested parameter sampler. In particular, we highlight the role of higher-order modes. By including these modes, the luminosity distance estimation precision can be improved roughly by a factor of 50, compared with the case with only the leading order ($\ell=2,|m|=2$) mode. This is due to the response function of different harmonic modes on the inclination angle are different. Hence, it can help to break the distance-inclination degeneracy. Furthermore, we show the robustness of testing general relativity (GR) by using the higher-order harmonics. Our results show that the GW from MBHB can simultaneously constrain four of the higher harmonic amplitudes (deviation from GR) with a precision of $c_{21}=0.54^{+0.61}_{-0.82}$, $c_{32}=-0.65^{+0.22}_{-0.08}$, $c_{33}=0.56^{+0.60}_{-0.76}$ and $c_{44}=1.57^{+2.34}_{-1.90}$, respectively.

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