AI 中文总结
该研究对比了幅度不确定性、K修正与光谱红移误差对暗汽笛测量哈勃常数的影响，发现前者影响更小，近期暗汽笛分析无需优先考虑幅度不确定性。
AI 中文摘要
引力波标准汽笛为哈勃常数提供了独立探测手段，依赖星系目录的暗汽笛分析对目录相关不确定性敏感。尽管不完整性、加权方案和红移误差已被广泛研究，但幅度不确定性和K修正的影响迄今鲜受关注。本研究评估幅度误差与K修正如何传播至哈勃常数推断，并将其影响与实际光谱红移误差的影响对比以确定其相关性。我们使用gwcosmo Python包的修改版本，从z<0.2的完整体积受限 mock 星系目录构建视线红移先验；模拟并分析约200个双黑洞事件样本，采用B、K波段的光度加权，测试红移、幅度及K修正的不同不确定性模型。光度加权方案的选择对推断的哈勃常数后验有显著影响，直接B、K波段对比产生的差异与最大不确定性诱导变化相当。光谱红移误差在 tested 不确定性处理中对哈勃常数后验产生的积分变化最大；测光幅度不确定性导致的偏差显著更小且与波段相关，在K波段，本次低红移 mock 分析中 tested K修正处理仅产生 minor 影响，经验修正较无修正情况略微降低积分偏差。在具有更大定位区域及测光或混合红移误差的实际流量受限目录中，幅度不确定性的相对影响预计会更小，表明在近期暗汽笛分析中无需优先考虑它们。
英文摘要
Gravitational-wave standard sirens provide an independent probe of the Hubble constant. Dark siren analyses that rely on galaxy catalogues are sensitive to catalogue-related uncertainties. While incompleteness, weighting schemes, and redshift errors have been studied extensively, the impact of magnitude uncertainties and K-corrections has received little attention so far. We assess how magnitude errors and K-corrections propagate into the Hubble constant inference, and compare their impact to that of realistic spectroscopic redshift errors to determine their relevance. We use a modified version of the gwcosmo Python package to construct line-of-sight redshift priors from a complete, volume-limited mock galaxy catalogue up to $z<0.2$. We simulate and analyse a sample of $\sim200$ binary black hole events with luminosity weighting in the $B$- and $K$-bands and test different uncertainty models for redshifts, magnitudes, and K-corrections. The choice of luminosity-weighting scheme has a substantial impact on the inferred Hubble constant posterior, with the direct $B$- and $K$-band comparison producing differences comparable to the largest uncertainty-induced changes. Spectroscopic redshift errors produce the largest integrated changes in the Hubble constant posterior among the tested uncertainty treatments. Photometric magnitude uncertainties lead to substantially smaller, band-dependent deviations. In the $K$-band, the tested K-correction treatments have only a minor impact in the present low-redshift mock analysis, with the empirical correction slightly reducing the integrated deviation relative to the no-correction case. In realistic, flux-limited catalogues with larger localization areas and photometric or mixed redshift errors, the relative impact of magnitude uncertainties is expected to be even smaller, indicating that they need not be prioritized in near-future dark siren analyses.
Comments9 pages, 6 figures, submitted to A&A
