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

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arxiv 2004.03629 v1 pith:GZQNT7MX submitted 2020-04-07 astro-ph.CO

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

classification astro-ph.CO
keywords loopgalaxyintegralspowerspectrumbiascalculationfast
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Biased tracers, Hybrid Effective Field Theory and Modified Gravity

    astro-ph.CO 2026-06 unverdicted novelty 5.0

    Extends HEFT to f(R) gravity for loop-corrected biased power spectra and outlines emulator extensions from LambdaCDM codes.