Marked correlation functions in perturbation theory

Aviles, Alejandro; Koyama, Kazuya; Cervantes-Cota, Jorge L.; Winther, Hans A.; Li, Baojiu

Abstract

We develop perturbation theory approaches to model the marked correlation function constructed to up-weight low density regions of the Universe, which might help distinguish modified gravity models from the standard cosmology model based on general relativity. Working within Convolution Lagrangian Perturbation Theory, we obtain that weighted correlation functions are expressible as double convolution integrals that we approximate using a combination of Eulerian and Lagrangian schemes. We find that different approaches agree within 1% on quasi non-linear scales. Compared with N-body simulations, the perturbation theory is found to provide accurate predictions for the marked correlation function of dark matter fields, dark matter halos as well as Halo Occupation Distribution galaxies down to 30 Mpc/h. These analytic approaches help to understand the degeneracy between the mark and the galaxy bias and find a way to maximize the differences among various cosmological models.

Citation

Aviles, A., Koyama, K., Cervantes-Cota, J. L., Winther, H. A., & Li, B. (2020). Marked correlation functions in perturbation theory. Journal of Cosmology and Astroparticle Physics, 01, Article 006. https://doi.org/10.1088/1475-7516/2020/01/006

• Journal Article Type: Article
• Acceptance Date: Dec 10, 2019
• Online Publication Date: Jan 2, 2020
• Publication Date: Jan 2, 2020
• Deposit Date: Dec 11, 2019
• Publicly Available Date: Jan 2, 2021
• Journal: Journal of Cosmology and Astroparticle Physics
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 01
• Article Number: 006
• DOI: https://doi.org/10.1088/1475-7516/2020/01/006
• Related Public URLs: https://arxiv.org/abs/1911.06362