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arXiv 2501.08261gr-qcastro-ph.IM
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GPU加速的LISA参数估计:全时域响应方法

GPU-accelerated LISA parameter estimation with full time domain response

Cecilio García-Quirós, Shubhanshu Tiwari, Stanislav Babak

AI总结:

本研究首次利用GPU加速的时域响应和IMRPhenomT波形模型,对LISA参数估计进行完整贝叶斯推断,验证了其以百分之一精度测量自旋和定位、亚百分之一精度测量质量的能力。

摘要:

我们首次进行了完整的贝叶斯推断分析,用于LISA参数估计,通过全时域响应纳入了次主导谐波和自旋进动的影响。通过实现新颖的Python版本的IMRPhenomT波形模型族以及GPU加速的LISA响应,显著缓解了使用时域波形进行LISA参数估计所需的巨大计算需求。这种时域响应消除了为每种特定类型的系统在傅里叶域中开发特定传递函数来近似LISA响应的理论必要性,并允许使用不等臂配置和真实的LISA轨道。我们的分析包括一系列针对具有对齐和进动自旋的大质量黑洞双星的零噪声注入。我们研究了包含次主导谐波的影响,比较了等臂和不等臂配置,并分析了不同的时间延迟干涉测量(TDI)配置。我们使用了完整且均匀的先验,低频截止为0.1毫赫兹,信号持续时间约为两个月,每5秒采样一次。采样器基于Fisher估计初始化。我们的结果表明,LISA能够以百分之一的精度测量两个自旋大小和主自旋倾斜角,以及天空定位,而组分质量以亚百分之一的精度确定。

英文摘要:

We conduct the first full Bayesian inference analysis for LISA parameter estimation incorporating the effects of subdominant harmonics and spin-precession through a full time domain response. The substantial computational demands of using time domain waveforms for LISA are significantly mitigated by implementing a novel Python version of the IMRPhenomT family of waveform models and the LISA response with GPU acceleration. This time domain response alleviates the theoretical necessity of developing specific transfer functions to approximate the LISA response in the Fourier domain for each specific type of system and allows for the use of unequal arms configurations and realistic LISA orbits. Our analysis includes a series of zero-noise injections for a Massive Black Hole Binary with aligned and precessing spins. We investigate the impact of including subdominant harmonics, compare equal and unequal arm configurations, and analyze different Time-Delay-Interferometry (TDI) configurations. We utilize full and uniform priors, with a lower frequency cutoff of 0.1mHz, and a signal duration of approximately two months, sampled every 5 seconds. The sampler is initialized based on Fisher estimates. Our results demonstrate LISA capability to measure the two spin magnitudes and the primary spin tilt angle, alongside sky localization, with percent-level precision, while component masses are determined with sub-percent accuracy.

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