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arXiv 1807.09540astro-ph.CO
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超越宇宙学角统计的传统视线方法

Beyond the traditional Line-of-Sight approach of cosmological angular statistics

Nils Schöneberg, Marko Simonović, Julien Lesgourgues, Matias Zaldarriaga

摘要:

本文提出了一种新的计算大尺度结构观测量的角功率谱的有效方法,该方法避免了贝塞尔函数上的数值积分,扩展了最近提出的基于FFTlog的算法。这种新方法具有更好的收敛性。该方法是显式实现的CLASS代码的情况下,数计数$C_\ell$的(包括红移空间扭曲,弱透镜,和所有其他相对论修正)和宇宙剪切$C_\ell$的。在这两种情况下,我们的方法在0. 1%的固定精度目标下将精确$C_\ell$的计算(没有Limber近似)加速了400阶的因子。

英文摘要:

We present a new efficient method to compute the angular power spectra of large-scale structure observables that circumvents the numerical integration over Bessel functions, expanding on a recently proposed algorithm based on FFTlog. This new approach has better convergence properties. The method is explicitly implemented in the CLASS code for the case of number count $C_\ell$'s (including redshift-space distortions, weak lensing, and all other relativistic corrections) and cosmic shear $C_\ell$'s. In both cases our approach speeds up the calculation of the exact $C_\ell$'s (without the Limber approximation) by a factor of order 400 at a fixed precision target of 0.1%.

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