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• W3137049319 abstract "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, $Theta$, 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." @default.
• W3137049319 created "2021-03-29" @default.
• W3137049319 creator A5007470484 @default.
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• W3137049319 date "2021-06-15" @default.
• W3137049319 modified "2023-10-17" @default.
• W3137049319 title "Alcock-Paczynski effects on wide-angle galaxy statistics" @default.
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• W3137049319 doi "https://doi.org/10.1103/physrevd.103.123534" @default.
• W3137049319 hasPublicationYear "2021" @default.
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