Measurement of Void Bias Using Separate Universe Simulations

Abstract

Cosmic voids are biased tracers of the large-scale structure of the universe. Separate universe simulations (SUS) enable accurate measurements of this biasing relation by implementing the peak-background split (PBS). In this work, we apply the SUS technique to measure the void bias parameters. We confirm that the PBS argument works well for underdense tracers. The response of the void size distribution depends on the void radius. For voids larger (smaller) than the size at the peak of the distribution, the void abundance responds negatively (positively) to a long wavelength mode. The linear bias from the SUS is in good agreement with the cross power spectrum measurement on large scales. Using the SUS, we have detected the quadratic void bias for the first time in simulations. We find that $b_2$ is negative when the magnitude of $b_1$ is small, and that it becomes positive and increases rapidly when $|b_1|$ increases. We compare the results from voids identified in the halo density field with those from the dark matter distribution, and find that the results are qualitatively similar, but the biases generally shift to the larger voids sizes.

arXiv comment16 pages, 11 figures. Match to the published version

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Cited by in corpus (10)

• Large-scale dark matter simulations
• Redshift-space effects in voids and their impact on cosmological tests. Part I: the void size function
• Guess the cheese flavour by the size of its holes: A cosmological test using the abundance of Popcorn voids
• The position-dependent matter density probability distribution function
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• Intrinsic alignments of galaxies around cosmic voids
• Impacts of pre-initial conditions on anisotropic separate universe simulations: a boosted tidal response in the epoch of reionization
• Position-dependent Voronoi probability distribution functions for matter and halos
• Scale-dependent halo bias and the squeezed limit bispectrum in the presence of radiation
• Cosmic voids and BAO with relative baryon-CDM perturbations