http://arxiv.org/abs/2103.08126
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 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, $\Theta$, enlarges, and especially for the density auto correlation, the error exceeds $10\%$ when $\Theta \gtrsim 30^\circ$. This highlights the importance of the analysis beyond the PP approximation.
M. Shiraishi, K. Akitsu and T. Okumura
Tue, 16 Mar 21
19/92
Comments: 6 pages, 1 figure
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