A new look at lines of sight: using Fourier methods for the wide-angle anisotropic 2-point correlation function

Abstract

The anisotropic 2-point correlation function (2PCF) of galaxies measures pairwise clustering as a function of the pair separation's angle to the line of sight. The latter is often defined as either the angle bisector of the observer-galaxy-pair triangle or the vector from the observer to the separation midpoint. Here we show how to accelerate either of these measurements with Fourier Transforms, using a slight generalization of the Yamamoto et al. (2006) estimator in which each member of the pair is used successively as the line of sight. We also present perturbation theory predictions for our generalized estimator including wide-angle corrections.

7 pages, submitted MNRAS

References in corpus (3)

• Fast Estimators for Redshift-Space Clustering
• Accelerating the 2-point and 3-point galaxy correlation functions using Fourier transforms
• Redshift-space distortions with wide angular separations

Cited by in corpus (8)

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• An optimal FFT-based anisotropic power spectrum estimator
• The Impact of the Fiducial Cosmology Assumption on BAO Cosmological Parameter Inference
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• Power spectrum multipoles on the curved sky: an application to the 6-degree Field Galaxy Survey
• The Zeldovich approximation and wide-angle redshift-space distortions
• Computing the Small-Scale Galaxy Power Spectrum and Bispectrum in Configuration-Space
• Beyond Yamamoto: Anisotropic Power Spectra and Correlation Functions with Pairwise Lines-of-Sight