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An analytic hybrid halo + perturbation theory model for small-scale correlators: baryons, halos, and galaxies


We update Halo Zeldovich Perturbation Theory (HZPT, [1]), an analytic model for the two-point statistics of dark matter, to describe halo and galaxy clustering, and galaxy-matter cross-correlation on nonlinear scales. The model correcting Zeldovich has an analytic Fourier transform, and therefore is valid in both configuration space and Fourier space. The model is accurate at the 2%-level or less for Pmm (k < 1 h/Mpc), Phm (k < 1 h/Mpc), Phh (k < 2 h/Mpc), Pgm (k < 1 h/Mpc), Pgg (k < 1 h/Mpc), ξmm (r > 1 Mpc/h), ξhm (r > 2 Mpc/h), ξhh (r > 2 Mpc/h), ξgm (r > 1 Mpc/h), ξgg (r > 2 Mpc/h), for LRG-like mock galaxies. We show that the HZPT model for matter correlators can account for the effects of a wide range of baryonic feedback models and provide two extended dark matter models which are of 1% (3%) accuracy for k < 10 (8) h/Mpc. We explicitly model the non-perturbative features of halo exclusion for the halo-halo and galaxy-galaxy correlators, as well as the presence of satellites for galaxy-matter and galaxy-galaxy correlation functions. We perform density estimation using N-body simulations and a wide range of HOD galaxy mocks to obtain correlations of model parameters with the cosmological parameters Ωm and σ8. HZPT can provide a fast, interpretable, and analytic model for combined-probe analyses of redshift surveys using scales well into the non-linear regime.

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