Alcock-Paczynski effects on wide-angle galaxy statistics

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.

arXiv comment6 pages, 1 figure; version matching publication in PRD

References in corpus (27)

• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Measuring the cosmological constant with redshift surveys
• Linear Redshift Distortions: A Review
• Large-Scale Anisotropic Correlation Function of SDSS Luminous Red Galaxies
• The WiggleZ Dark Energy Survey: measuring the cosmic expansion history using the Alcock-Paczynski test and distant supernovae
• Cosmological Redshift Distortion of Correlation Functions as a Probe of the Density Parameter and the Cosmological Constant
• Redshift Space Distortions of the Correlation Function in Wide Angle Galaxy Surveys
• Asymmetric galaxy correlation functions
• Beyond the plane-parallel and Newtonian approach: Wide-angle redshift distortions and convergence in general relativity
• Measuring q_0 from the Distortion of Voids in Redshift Space
• Beyond the plane-parallel approximation for redshift surveys
• The Correlation Function in Redshift Space: General Formula with Wide-angle Effects and Cosmological Distortions
• Wide Angle Redshift Distortions Revisited
• Non-Perturbative Effects of Geometry in Wide-Angle Redshift Distortions
• Wide Angle Effects in Future Galaxy Surveys
• Cosmological Forecasts for Combined and Next Generation Peculiar Velocity Surveys
• Large-scale 3D galaxy correlation function and non-Gaussianity
• The 2dF QSO Redshift Survey - XIII. A Measurement of Lambda from the QSO Power Spectrum
• Prospects for galaxy-mass relations from the 6dF Galaxy Survey
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski test: galaxy density gradient field
• Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel'dovich approximation
• Wide angle effects for peculiar velocities
• Geometric and dynamic distortions in anisotropic galaxy clustering
• Wide-angle effects on galaxy ellipticity correlations
• Super-sample tidal modes on the celestial sphere
• Minimum variance estimation of galaxy power spectrum in redshift space
• Minimum variance estimation of statistical anisotropy via galaxy survey

Cited by in corpus (5)

• Tomographic Alcock-Paczynski Test with Redshift-Space Correlation Function: Evidence for the Dark Energy Equation of State Parameter w>-1
• Wide-angle and relativistic effects in Fourier-space clustering statistics
• Using peculiar velocity surveys to constrain the growth rate of structure with the wide-angle effect
• Statistical anisotropy in galaxy ellipticity correlations
• Mixing Bispectrum Multipoles Under Geometric Distortions