Nonlinear stochastic biasing of halos: Analysis of cosmological N-body simulations and perturbation theories

Abstract

It is crucial to understand and model a behavior of galaxy biasing for future ambitious galaxy redshift surveys. Using 40 large cosmological N-body simulations for a standard LambdaCDM cosmology, we study the cross-correlation coefficient between matter and the halo density field, which is an indicator of the stochasticity of bias, over a wide redshift range 0\le z \le 3. The cross-correlation coefficient is important to extract information on the matter density field, e.g., by combining galaxy clustering and galaxy-galaxy lensing measurements. We compare the simulation results with integrated perturbation theory (iPT) proposed by one of the present authors and standard perturbation theory (SPT) combined with a phenomenological model of local bias. The cross-correlation coefficient derived from the iPT agrees with N-body simulation results down to r~15 (10) h^{-1}Mpc within 0.5 (1.0) % for all redshifts and halo masses we consider. The SPT with local bias does not explain complicated behaviors on quasilinear scales at low redshifts, while roughly reproduces the general behavior of the cross-correlation coefficient on fully nonlinear scales. The iPT is powerful to predict the cross-correlation coefficient down to quasilinear regimes with a high precision.

12 pages, 6 figures. Maches version published by the Physical Review D

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Cited by in corpus (12)

• Large-Scale Galaxy Bias
• The MassiveBlack-II Simulation: The Evolution of Halos and Galaxies to z~0
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• The MICE Grand Challenge Lightcone Simulation II: Halo and Galaxy catalogues
• Integrated Perturbation Theory and One-loop Power Spectra of Biased Tracers
• Impacts of biasing schemes in the one-loop integrated perturbation theory
• Measuring Linear and Non-linear Galaxy Bias Using Counts-in-Cells in the Dark Energy Survey Science Verification Data
• Halo/Galaxy Bispectrum with Primordial non-Gaussianity from integrated Perturbation Theory (iPT)
• Weak lensing reconstruction through cosmic magnification. II. Improved power spectrum determination and map-making
• Probing gravity with redshift-space distortions: effects of tracer bias and sample selection
• Nonlinear stochastic growth rates and redshift space distortions
• Halo/Galaxy Bispectrum with Equilateral-type Primordial Trispectrum