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LISA双星参数估计中的系统性偏差。II. 排除高阶谐波对自旋对齐、高质量双星的影响

Systematic biases in parameter estimation on LISA binaries. II. The effect of excluding higher harmonics for spin-aligned, high-mass binaries

Johns Hopkins University(约翰斯·霍普金斯大学);SISSA(的里雅斯特国际高等研究学校);INFN Sezione di Trieste(意大利国家核物理研究所的里雅斯特分部);Université de Toulouse(图卢兹大学);University of Texas at Austin(德克萨斯大学奥斯汀分校);University of Illinois Urbana-Champaign(伊利诺伊大学厄巴纳-香槟分校)

Sophia Yi, Francesco Iacovelli, Emanuele Berti, Rohit S. Chandramouli, Sylvain Marsat, Digvijay Wadekar, Nicolás Yunes

AI总结:

研究LISA观测中高阶谐波排除对高质量双星参数估计的影响,提出改进的优化方案以减少系统性偏差。

摘要:

激光干涉空间天线(LISA)将能够以惊人的信噪比观测到大质量黑洞双星(MBHBs),这使得对这些信号的参数估计容易受到看似微小的波形误差的影响。对于MBHBs,特别值得关注的是由于忽略高阶模式而产生的误差。我们扩展了Yi等人[arXiv:2502.12237]的研究,以检查对于具有非零(对齐)前驱自旋和总质量高达10^8 M_太阳的MBHBs,由于忽略高阶模式而产生的误差。对于这些非常巨大的系统,参数空间中可能存在区域,其中(ℓ, |m|)=(2,2)模式不再相对于更高阶模式占主导地位。我们发现,当改变双星的前驱自旋时,系统性偏差的范围可以显著变化。我们还发现,对于最重、因此最短的MBHB信号,轻微的系统误差可能导致天空定位参数的严重误判。我们提出了一种改进的似然优化方案,以更高效的方式预测这些影响。

英文摘要:

The Laser Interferometer Space Antenna (LISA) will observe massive black hole binaries (MBHBs) with astoundingly high signal-to-noise ratio, leaving parameter estimation with these signals susceptible to seemingly small waveform errors. Of particular concern for MBHBs are errors due to neglected higher-order modes. We extend Yi et al. [arXiv:2502.12237] to examine errors due to neglected higher-order modes for MBHBs with nonzero (aligned) progenitor spins and total mass up to $10^8\,M_\odot$. For these very massive systems, there can be regions of parameter space in which the $(\ell, |m|)=(2,\,2)$ modes are no longer dominant with respect to higher-order ones. We find that the extent of systematic bias can change significantly when varying the progenitor spins of the binary. We also find that for the heaviest, and therefore shortest, MBHB signals, slight systematic errors can cause severe misinference of the sky localization parameters. We propose an improved likelihood optimization scheme with respect to previous work as a way to predict these effects in a computationally efficient manner.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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