Breaking Halo Occupation Degeneracies with Marked Statistics

TL;DR

This paper demonstrates that marked correlation functions can effectively resolve degeneracies in halo-occupation models, applicable to 3D and 2D galaxy survey data, with validation from N-body simulation mock catalogs.

Contribution

It introduces a new application of marked correlation functions to distinguish halo-occupation distribution degeneracies, suitable for upcoming galaxy surveys.

Findings

Marked correlation functions can break degeneracies in halo models.

Method is applicable to both 3D and 2D datasets.

Validated with mock catalogs from N-body simulations.

Abstract

We show that a suitably defined marked correlation function can be used to break degeneracies in halo-occupation distribution modeling. The statistic can be computed on both 3D and 2D data sets, and should be applicable to all upcoming galaxy surveys. A proof of principle, using mock catalogs created from N-body simulations, is given.