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Marked correlation functions in perturbation theory

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

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Alejandro Aviles

Kazuya Koyama

Jorge L. Cervantes-Cota

Hans A. Winther


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.

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
Public URL
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