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We present an algorithm enabling computation of the anisotropicredshift-space galaxy 3-point correlation function (3PCF) scaling as $N^2$,with $N$ the number of galaxies. Our previous work showed how to compute theisotropic 3PCF with this scaling by expanding the radially-binned density fieldaround each galaxy in the survey into spherical harmonics and combining thesecoefficients to form multipole moments. The $N^2$ scaling occurred because thisapproach never explicitly required the relative angle between a galaxy pairabout the primary galaxy. Here we generalize this work, demonstrating that inthe presence of azimuthally-symmetric anisotropy produced by redshift-spacedistortions (RSD) the 3PCF can be described by two triangle side lengths, twoindependent total angular momenta, and a spin. This basis for the anisotropic3PCF allows its computation with negligible additional work over the isotropic3PCF. We also present the covariance matrix of the anisotropic 3PCF measured inthis basis. Our algorithm tracks the full 5-D redshift-space 3PCF, uses anaccurate line of sight to each triplet, is exact in angle, and easily handlesedge correction. It will enable use of the anisotropic large-scale 3PCF as aprobe of RSD in current and upcoming large-scale redshift surveys.

A Practical Computational Method for the Anisotropic Redshift-Space 3-Point Correlation Function