论文标题
使用2Dfftlog形式主义
Optimal computation of anisotropic galaxy three point correlation function multipoles using 2DFFTLOG formalism
论文作者
论文摘要
我们研究了两个关键问题，这些问题反对使用各向异性三点相关函数（3PCF）进行宇宙学参数推断：其计算估计和高维度的困难。我们展示了通过所有角度依赖性的多极分解可以显着降低高维度。这允许在各向异性3PCF及其协方差矩阵的基础上得出完整表达式，在平面平行限制中，尺寸在每个多极的基础上从每个多极减少到两个。我们使用2D FFTLOG形式主义来展示Bispectrum和两个高度振动的球形Bessel功能以及与三个Galaxy Power的产物相比，如何与四个高度振动的球形BESSEL功能相结合的多双动量Bessel功能以及与双重动量积分的协调如何计算出最佳功能。
We study two key issues militating against the use of the anisotropic three-point correlation function (3PCF) for cosmological parameter inference: difficulties with its computational estimation and high-dimensionality. We show how high-dimensionality may be reduced significantly by multipole decompositions of all angular dependence. This allows deriving the full expression for the multipole moments of the anisotropic 3PCF and its covariance matrix in a basis where the dimensionality reduces from nine to two at each multipole in the plane-parallel limit. We use 2D FFTLog formalism to show how the multipole moments with double momentum integrals over the product of bispectrum and two highly oscillating spherical Bessel functions and its covariance with double momentum integrals over the product of three galaxy power spectra and a combination of four highly oscillating spherical Bessel functions may be computed optimally.
