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

2015/10/16 by Zachary Slepian, Daniel J. Eisenstein, Slepian, Zachary +1 · 1 citation
Engineering · #Advanced Measurement and Metrology Techniques #Control Systems and Identification #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Structural Health Monitoring Techniques

paper · pdf · doi:10.48550/arxiv.1510.04809

openalex publication_date 2015/10/16 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

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

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• Power Spectrum, Bispectrum, 2- and 3-Point Correlation Function, and Beyond

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