论文标题
在具有动态测量的超级质量黑洞的星系样品中撤回可疑的选择偏差
Quashing a suspected selection bias in galaxy samples having dynamically-measured supermassive black holes
论文作者
论文摘要
据报道，具有直接测量黑洞质量的局部早期型星系，$ m _ {\ rm bh} $，代表了相对于整个人口的有偏见的样本。 Such galaxies with Spitzer Space Telescope imaging have been purported to possess velocity dispersions, $σ$, at least $\sim$0.1 dex larger for a given galaxy stellar mass, $M_{\rm *,gal}$, than is typically observed among thousands of early-type galaxies imaged by the Sloan Digital Sky Survey.这种明显的偏移LED Shankar等人。为了将观察到的$ M _ {\ rm bh} \ proptoσ^5 $关系减少至少$ \ sim $ 0.5 dex，以提供其“内在关系”，包括对$σ$基于$ M _ {\ rm bh} $ - $ m _ $ m_ _ _ {这些修改基于未经测试的假设，即两个样本之间始终如一地得出了恒星质量。在这里，我们使用星系中的Spitzer调查（S $^4 $ g）和Sloan Digital Sky Survey（SDSS）的恒星结构调查提供了必要的检查。我们发现，由于使用不一致的恒星质量与光比，$υ_*$用于光学和红外数据，带有和没有直接测量黑洞的星系恒星质量彼此相抵消。我们简要讨论了“内在关系”，以及为什么有时会根据$υ_*$的类似不一致的值应用于数据时似乎有部分成功。最后，我们重申了$ \ upsilon $（lower-case $υ$）术语的重要性，以前我们将其引入了$ m _ {\ rm bh} $ - $ m _ {\ rm *} $关系，以帮助避免$υ_ *$ - 相关的早混音。
Local early-type galaxies with directly-measured black hole masses, $M_{\rm bh}$, have been reported to represent a biased sample relative to the population at large. Such galaxies with Spitzer Space Telescope imaging have been purported to possess velocity dispersions, $σ$, at least $\sim$0.1 dex larger for a given galaxy stellar mass, $M_{\rm *,gal}$, than is typically observed among thousands of early-type galaxies imaged by the Sloan Digital Sky Survey. This apparent offset led Shankar et al. to reduce the normalisation of the observed $M_{\rm bh} \propto σ^5$ relation by at least $\sim$0.5 dex to give their "intrinsic relations", including $σ$-based modifications to the $M_{\rm bh}$-$M_{\rm *,gal}$ relation. These modifications were based on the untested assumption that the stellar masses had been derived consistently between the two samples. Here, we provide the necessary check using galaxies common to the Spitzer Survey of Stellar Structure in Galaxies (S$^4$G) and the Sloan Digital Sky Survey (SDSS). We find that the stellar masses of galaxies with and without directly measured black holes had appeared offset from each other due to the use of inconsistent stellar mass-to-light ratios, $Υ_*$, for the optical and infrared data. We briefly discuss the "intrinsic relations" and why some of these will at times appear to have had partial success when applied to data based on similarly inconsistent values of $Υ_*$. Finally, we reiterate the importance of the $\upsilon$ (lower-case $Υ$) term, which we previously introduced into the $M_{\rm bh}$-$M_{\rm *}$ relations to help avoid $Υ_*$-related mismatches.
