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The Aemulus Project VI: Emulation of beyond-standard galaxy clustering statistics to improve cosmological constraints
The Aemulus Project VI: Emulation of beyond-standard galaxy clustering statistics to improve cosmological constraints
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The Aemulus Project VI: Emulation of beyond-standard galaxy clustering statistics to improve cosmological constraints
The Aemulus Project VI: Emulation of beyond-standard galaxy clustering statistics to improve cosmological constraints

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The Aemulus Project VI: Emulation of beyond-standard galaxy clustering statistics to improve cosmological constraints
The Aemulus Project VI: Emulation of beyond-standard galaxy clustering statistics to improve cosmological constraints
Paper

The Aemulus Project VI: Emulation of beyond-standard galaxy clustering statistics to improve cosmological constraints

2024
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Overview
There is untapped cosmological information in galaxy redshift surveys in the non-linear regime. In this work, we use the AEMULUS suite of cosmological \\(N\\)-body simulations to construct Gaussian process emulators of galaxy clustering statistics at small scales (\\(0.1-50 \\: h^{-1}\\,\\mathrm{Mpc}\\)) in order to constrain cosmological and galaxy bias parameters. In addition to standard statistics -- the projected correlation function \\(w_\\mathrm{p}(r_\\mathrm{p})\\), the redshift-space monopole of the correlation function \\(\\xi_0(s)\\), and the quadrupole \\(\\xi_2(s)\\) -- we emulate statistics that include information about the local environment, namely the underdensity probability function \\(P_\\mathrm{U}(s)\\) and the density-marked correlation function \\(M(s)\\). This extends the model of AEMULUS III for redshift-space distortions by including new statistics sensitive to galaxy assembly bias. In recovery tests, we find that the beyond-standard statistics significantly increase the constraining power on cosmological parameters of interest: including \\(P_\\mathrm{U}(s)\\) and \\(M(s)\\) improves the precision of our constraints on \\(\\Omega_m\\) by 27%, \\(\\sigma_8\\) by 19%, and the growth of structure parameter, \\(f \\sigma_8\\), by 12% compared to standard statistics. We additionally find that scales below \\(\\sim6 \\: h^{-1}\\,\\mathrm{Mpc}\\) contain as much information as larger scales. The density-sensitive statistics also contribute to constraining halo occupation distribution parameters and a flexible environment-dependent assembly bias model, which is important for extracting the small-scale cosmological information as well as understanding the galaxy-halo connection. This analysis demonstrates the potential of emulating beyond-standard clustering statistics at small scales to constrain the growth of structure as a test of cosmic acceleration.