从微扰理论研究重子声学振荡的特征尺度：非线性和红移空间畸变效应
Characteristic Scales of Baryon Acoustic Oscillations from Perturbation Theory: Non-linearity and Redshift-Space Distortion Effects
摘要：
原始光子-重子流体在退耦时间前后的声学振荡在当今的星系分布中留下了特征尺度，称为重子声学振荡（BAO）尺度。一些正在进行和/或未来的星系巡天旨在探测和精确确定BAO尺度，以追踪宇宙的膨胀历史。我们考虑了非线性和红移空间畸变对$k$ -空间中BAO标度位移的影响。由此产生的变化确实对BAO比额表定义的不同选择很敏感，在数据分析中需要牢记这一点。我们提出了一个玩具模型来解释的物理行为的转变。我们发现，在Percival et al.（2007）中定义的BAO标度相对于实空间中{ \it线性理论}的预测确实显示出非常小的偏移（$\lesssim$ 1%）。在微扰理论可靠的尺度上，可以准确地预测这些位移。
英文摘要：
An acoustic oscillation of the primeval photon-baryon fluid around the decoupling time imprints a characteristic scale in the galaxy distribution today, known as the baryon acoustic oscillation (BAO) scale. Several on-going and/or future galaxy surveys aim at detecting and precisely determining the BAO scale so as to trace the expansion history of the universe. We consider nonlinear and redshift-space distortion effects on the shifts of the BAO scale in $k$-space using perturbation theory. The resulting shifts are indeed sensitive to different choices of the definition of the BAO scale, which needs to be kept in mind in the data analysis. We present a toy model to explain the physical behavior of the shifts. We find that the BAO scale defined as in Percival et al. (2007) indeed shows very small shifts ($\lesssim$ 1%) relative to the prediction in {\it linear theory} in real space. The shifts can be predicted accurately for scales where the perturbation theory is reliable.
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