发表机构
Max Planck Institute for Gravitational Physics; University of Nevada, Las Vegas; Institute for Astronomy, University of Edinburgh; Università di Bologna; INFN - Sezione di Bologna（马克斯·普朗克引力物理学研究所; 内华达大学拉斯维加斯分校; 爱丁堡大学天体物理研究所; 博洛尼亚大学; 意大利国家核物理研究所博洛尼部分部）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对不完整星系星表的暗信号宇宙学，提出基于星系相关函数补充缺失星系的方法，大幅提升1%-10%完整度星表下的后验精度，且在极低完整度或高不确定性场景下仍具竞争力。
AI 中文摘要
引力波为解决哈勃张力提供了独特的机会。为此，我们需从引力波事件（作为“暗信号”）与不完整星系星表的交叉相关中提取尽可能多的信息。传统方法假设星表中缺失星系的共动体积分布均匀，忽略了星系倾向于聚类的事实，这会导致后验精度降低且可能存在偏差。本文提出一种处理不完整星系星表时考虑星系聚类的新方法：将星系补充回不完整星表，并根据相关函数ξ(r)将其分布到各个像素中。研究发现，当星系星表仅为1%-10%完整时，我们的方法相比传统方法有显著改进，后验精度提升2至4倍（具体取决于完整度），且无任何偏差；在星表完整度极低（<0.5%）或引力波事件的恢复光度距离与天区定位不确定性极高时，我们的方法可产生与传统方法相当的结果。
英文摘要
Gravitational waves offer a unique opportunity to solve the Hubble tension. In order to do so, we have to extract as much information as possible from cross correlating gravitational wave events (used as "dark sirens") with incomplete galaxy catalogs. Traditional methods assume a uniform in comoving volume distribution for galaxies missing from the catalogs, which neglects the fact that galaxies tend to cluster, leading to less precise and possibly biased posteriors. In this paper, we introduce a new method for accounting for galaxy clustering when dealing with an incomplete galaxy catalog, by adding back galaxies to the incomplete catalog and distributing them in pixels according to the correlation function $ξ(r)$. We find that our method drastically improves on traditional ones when the galaxy catalog is only $1\%-10\%$ complete, leading to posteriors that are between 2 and 4 times as precise, depending on the completeness fraction, without introducing any biases. Our method produces results comparable to traditional methods at extremely low catalog completeness fractions (<0.5\%) or for very high uncertainties in the recovered luminosity distance and sky localization of the gravitational wave events.
Comments16 pages, 19 figures
