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Galaxy Skew-Spectra in Redshift-Space

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arxiv 2010.14267 v1 pith:6XCLA3QF submitted 2020-10-27 astro-ph.CO

classification astro-ph.CO
keywords galaxydensityspectrumpowerredshift-spacesimpleskew-spectraadditional
verification ladder T0 review T1 audit T2 compute T3 formal
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Modern galaxy surveys focus on the galaxy power spectrum or 2-point correlation function to test and constrain cosmological models. Additional information comes from higher-order N-point functions, but their analysis is challenging. A simple solution is to compute the cross-power spectrum between the squared galaxy density and the galaxy density. Being simple to measure and to plot, this skew-spectrum shares many of the familiar useful properties of the standard galaxy power spectrum. We show that by computing multiple quadratic fields and correlating them with the density, all contributions to the tree-level redshift-space galaxy bispectrum can be captured with skew-spectra. Using synthetic datasets, we show that our measurement pipeline matches analytical predictions, and that their dependence on galaxy bias parameters and the logarithmic growth rate is as expected theoretically.

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Cited by 2 Pith papers

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

  1. The Compressed 3D Lyman-Alpha Forest Bispectrum

    astro-ph.CO 2025-10 conditional novelty 6.0 of 10

    The Lyman-alpha forest bispectrum can be compressed into 26 skew spectra, including a new shifted variant, with tree-level EFT predictions matching simulations at 1-2 sigma up to k≈0.17 h/Mpc.

  2. Probing primordial non-Gaussianity by reconstructing the initial conditions

    astro-ph.CO 2024-12 conditional novelty 5.0 of 10

    Applying a hybrid reconstruction, then cross-correlating the squared potential with the density, yields a simulated f_NL forecast up to three times tighter than the unreconstructed bispectrum.

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