标题： 使用HI叠加的扩展Tully-Fisher关系 显示英文标题

标题： Extended Tully-Fisher Relations using HI Stacking

摘要： 我们提出了一种利用光谱线叠加来统计评估图鲁兹-费希尔关系（TFR）的新方法。 该技术有可能将TFR观测扩展到比通过逐个星系分析更低的质量和更高的红移。 它还避免了对单个星系倾角测量的需求。 为了量化堆叠的氢原子发射线的属性，我们考虑了一个具有解析可表达线轮廓的银河盘简化模型。 使用这个模型，我们将堆叠剖面的宽度与单个星系的宽度进行比较。 然后，我们使用来自S3-SAX模型（千禧年模拟的一个衍生物）的更现实的模拟星系，遵循相同的程序。 令人惊讶的是，当堆叠具有相似绝对星等和随机倾角的星系的可见氢线时，堆叠的宽度非常接近去投影（=修正倾角）和去色散（=去除速度弥散后）的输入线的宽度。 因此，堆叠宽度与去投影/去色散输入线宽度之间的比例大约是常数——约为0.93——并且对气体弥散、星系质量、星系形态以及旋转曲线形状的依赖性很小。 最后，我们应用我们的技术，使用HIPASS数据构建一个堆叠的TFR，这些数据已经基于单独检测得到了一个定义明确的TFR。 对于HIPASS数据集，我们获得了斜率为$-8.5\pm0.4$的B波段TFR和斜率为$-11.7\pm0.6$的K波段关系，这与现有的结果一致。 显示英文摘要

摘要： We present a new technique for the statistical evaluation of the Tully-Fisher relation (TFR) using spectral line stacking. This technique has the potential to extend TFR observations to lower masses and higher redshifts than possible through a galaxy-by-galaxy analysis. It further avoids the need for individual galaxy inclination measurements. To quantify the properties of stacked HI emission lines, we consider a simplistic model of galactic disks with analytically expressible line profiles. Using this model, we compare the widths of stacked profiles with those of individual galaxies. We then follow the same procedure using more realistic mock galaxies drawn from the S3-SAX model (a derivative of the Millennium simulation). Remarkably, when stacking the apparent HI lines of galaxies with similar absolute magnitude and random inclinations, the width of the stack is very similar to the width of the deprojected (= corrected for inclination) and dedispersed (= after removal of velocity dispersion) input lines. Therefore, the ratio between the widths of the stack and the deprojected/dedispersed input lines is approximately constant - about 0.93 - with very little dependence on the gas dispersion, galaxy mass, galaxy morphology, and shape of the rotation curve. Finally, we apply our technique to construct a stacked TFR using HIPASS data which already has a well defined TFR based on individual detections. We obtain a B-band TFR with a slope of $-8.5\pm0.4$ and a K-band relation with a slope of $-11.7\pm0.6$ for the HIPASS data set which is consistent with the existing results.