arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2103.08126astro-ph.CO
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广角星系统计的Alcock-Paczynski效应

Alcock-Paczynski effects on wide-angle galaxy statistics

Maresuke Shiraishi, Kazuyuki Akitsu, Teppei Okumura

摘要:

Alcock-Paczynski(AP)效应是三维观测星系统计中的一种几何畸变。在预期的精密宇宙学的基础上正在进行的和即将到来的全天空星系调查,我们建立了一个有效的方法来计算AP扭曲的星系数密度和特殊的速度场的相关性,任何较大的角尺度不依赖于传统的平面平行(PP)近似。在这里,而不是通常的勒让德多项式的基础上,关联函数分解使用三极球谐基,因此,由于广角AP效应的特征角度依赖性可以严格捕获。通过这一点,我们证明了在各种尺度上的AP失真的相关性的计算。通过与PP极限结果的比较,证实了PP近似的误差随着目标星系间的分离视角$Θ$的增大而增大,特别是对于密度自相关,当$Θ\gtrsim 30^\circ$增大时,PP近似的误差超过$10\%$。这突出了PP近似之外的分析的重要性。

英文摘要:

The Alcock-Paczynski (AP) effect is a geometrical distortion in three-dimensional observed galaxy statistics. In anticipation of precision cosmology based on ongoing and upcoming all-sky galaxy surveys, we build an efficient method to compute the AP-distorted correlations of galaxy number density and peculiar velocity fields for any larger angular scale not relying on the conventionally used plane-parallel (PP) approximation. Here, instead of the usual Legendre polynomial basis, the correlation functions are decomposed using tripolar spherical harmonic basis; hence, characteristic angular dependence due to the wide-angle AP effect can be rigorously captured. By means of this, we demonstrate the computation of the AP-distorted correlations over the various scales. Comparing our results with the PP-limit ones, we confirm that the errors due to the PP approximation become more remarkable as the visual angle of separation between target galaxies, $Θ$, enlarges, and especially for the density auto correlation, the error exceeds $10\%$ when $Θ\gtrsim 30^\circ$. This highlights the importance of the analysis beyond the PP approximation.

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