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Title: A practical computational method for the anisotropic redshift-space three-point correlation function

Journal Article · · Monthly Notices of the Royal Astronomical Society
 [1];  [2]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  2. Harvard-Smithsonian Center for Astrophysics, Cambridge, MA (United States)

Here, we present an algorithm enabling computation of the anisotropic redshift-space galaxy threepoint correlation function (3PCF) scaling as N2, with N the number of galaxies. Our previous work showed how to compute the isotropic 3PCF with this scaling by expanding the radially binned density field around each galaxy in the survey into spherical harmonics and combining these coefficients to form multipole moments. The N2 scaling occurred because this approach never explicitly required the relative angle between a galaxy pair about the primary galaxy. Here, we generalize this work, demonstrating that in the presence of azimuthally symmetric anisotropy produced by redshift-space distortions (RSD), the 3PCF can be described by two triangle side lengths, two independent total angular momenta, and a spin. This basis for the anisotropic 3PCF allows its computation with negligible additional work over the isotropic 3PCF. We also present the covariance matrix of the anisotropic 3PCF measured in this basis. Our algorithm tracks the full 5D redshift-space 3PCF, uses an accurate line of sight to each triplet, is exact in angle, and easily handles edge correction. It will enable use of the anisotropic large-scale 3PCF as a probe of RSD in current and upcoming large-scale redshift surveys.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1480792
Journal Information:
Monthly Notices of the Royal Astronomical Society, Vol. 478, Issue 2; ISSN 0035-8711
Publisher:
Royal Astronomical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 34 works
Citation information provided by
Web of Science

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Cited By (6)

The full-sky angular bispectrum in redshift space journal April 2019
A complete FFT-based decomposition formalism for the redshift-space bispectrum journal November 2018
Estimating covariance matrices for two- and three-point correlation function moments in Arbitrary Survey Geometries journal October 2019
nbodykit: An Open-source, Massively Parallel Toolkit for Large-scale Structure journal September 2018
The Full-Sky Angular Bispectrum in Redshift Space text January 2018
Estimating Covariance Matrices for Two- and Three-Point Correlation Function Moments in Arbitrary Survey Geometries text January 2019