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We study two key issues militating against the use of the anisotropicthree-point correlation function (3PCF) for cosmological parameter inference:difficulties with its computational estimation and high-dimensionality. We showhow high-dimensionality may be reduced significantly by multipoledecompositions of all angular dependence. This allows deriving the fullexpression for the multipole moments of the anisotropic 3PCF and its covariancematrix in a basis where the dimensionality reduces from nine to two at eachmultipole in the plane-parallel limit. We use 2D FFTLog formalism to show howthe multipole moments with double momentum integrals over the product ofbispectrum and two highly oscillating spherical Bessel functions and itscovariance with double momentum integrals over the product of three galaxypower spectra and a combination of four highly oscillating spherical Besselfunctions may be computed optimally.

Optimal computation of anisotropic galaxy three point correlation function multipoles using 2DFFTLOG formalism