M-sigma和M-L关系中本征散射的确定
Determination of the intrinsic scatter in the M-sigma and M-L relations
摘要：
本文报道了最近导出的改进的超大质量黑洞质量（M_BH）与宿主星系核球速度色散（sigma）和光度（L）之间的关系（M-sigma和M-L关系），基于~50个M_BH测量值和~20个上限。特别注意的是恢复的内在散射（ε_0）在这两个关系。分散被发现是显着大于估计在大多数以前的研究。大的散射需要修正的本地黑洞质量函数，这意味着可能有大量的选择偏差的研究中的M-sigma和M-L关系的演变。当只考虑椭圆星系时，散射似乎减少了。这些结果似乎是不敏感的测量误差和分布的固有散射的广泛的假设。我们还报道了根据黑洞的影响范围的分辨率对挑选样本的拟合的影响。
英文摘要：
We report on recently derived improved versions of the relations between supermassive black hole mass (M_BH) and host-galaxy bulge velocity dispersion (sigma) and luminosity (L) (the M-sigma and M-L relations), based on ~50 M_BH measurements and ~20 upper limits. Particular attention is paid to recovery of the intrinsic scatter (epsilon_0) in both relations. The scatter was found to be significantly larger than estimated in most previous studies. The large scatter requires revision of the local black hole mass function, and it implies that there may be substantial selection bias in studies of the evolution of the M-sigma and M-L relations. When only considering ellipticals, the scatter appears to decrease. These results appear to be insensitive to a wide range of assumptions about the measurement errors and the distribution of intrinsic scatter. We also report on the effects on the fits of culling the sample according to the resolution of the black hole's sphere of influence.
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