Fast and accurate computation of projected two-point functions

Henry S. Grasshorn Gebhardt; Donghui Jeong

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Fast and accurate computation of projected two-point functions

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We present the two-point function from the fast and accurate spherical Bessel transformation (2-FAST) algorithm1 for a fast and accurate computation of integrals involving one or two spherical Bessel functions. These types of integrals occur when projecting the galaxy power spectrum P(k) onto the configuration space, ξ_?~ν(r), or spherical harmonic space, C_?(χ, χ'). First, we employ the FFTLog transformation of the power spectrum to divide the calculation into P(k)-dependent coefficients and P(k)-independent integrations of basis functions multiplied by spherical Bessel functions.We find analytical expressions for the latter integrals in terms of special functions, for which recursion provides a fast and accurate evaluation. The algorithm, therefore, circumvents direct integration of highly oscillating spherical Bessel functions.

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来源
《Physical review, D》 |2018年第2期|023504-1-023504-37|共37页
作者
Henry S. Grasshorn Gebhardt; Donghui Jeong;
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作者单位

Department of Astronomy and Astrophysics, and Institute for Gravitation and the Cosmos, The Pennsylvania State University, University Park, Pennsylvania 16802, USA;

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原文格式 PDF
正文语种英语
中图分类粒子物理学;场论;
关键词
Fast and accurate computation; projected; two-point functions;

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Fast and accurate computation of projected two-point functions

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