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arXiv 2004.03629astro-ph.CO
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考虑选择偏差的非线性红移空间星系功率谱的快速计算

Fast Calculation of Nonlinear Redshift-space Galaxy Power Spectrum Including Selection Bias

Joseph Tomlinson, Henry S. Grasshorn Gebhardt, Donghui Jeong

摘要:

我们提出了一个快速实现的次领先阶(1圈)红移空间星系的功率谱使用基于FFTlog的方法。[V. Desjacques,D. Jeong和F. Schmidt,JCAP 1812(12),035]已经证明了红移空间中的单圈星系功率谱可以用28个独立的带22个偏置参数的圈积分来计算。环路积分的角度部分的分析计算以球面贝塞尔变换的形式留下径向部分,该球面贝塞尔变换可以通过使用FFTLog变换进行数值积分。我们发现,原来的28个循环积分可以解决总共85个独特的FFTLog变换,但导致几个数量级的速度比传统的多维集成。本工作中使用的代码可在https://github.com/JosephTomlinson/GeneralBiasPk上公开获得

英文摘要:

We present a fast implementation of the next-to-leading order (1-loop) redshift-space galaxy power spectrum by using FFTlog-based methods. [V. Desjacques, D. Jeong, and F. Schmidt, JCAP 1812 (12), 035] have shown that the 1-loop galaxy power spectrum in redshift space can be computed with 28 independent loop integrals with 22 bias parameters. Analytical calculation of the angular part of the loop integrals leaves the radial part in the form of a spherical Bessel transformation that is ready to be integrated numerically by using the FFTLog transformation. We find that the original 28 loop integrals can be solved with a total of 85 unique FFTLog transformations, yet leading to a few orders of magnitude speed up over traditional multi-dimensional integration. The code used in this work is publicly available at https://github.com/JosephTomlinson/GeneralBiasPk

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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