Testing standard perturbation theory and the Eulerian local biasing scheme against N-body simulations

Abstract

We test third-order standard perturbation theory (SPT) as an approximation to non-linear cosmological structure formation. A novel approach is used to numerically calculate the three-dimensional dark matter density field using SPT from the initial conditions of two high-resolution cosmological simulations. The calculated density field is compared to the non-linear dark matter field of the simulations both point-by-point and statistically. For smoothing scales above 8 Mpc/h it shows a good agreement up to redshift 0. We present a simple fitting formula to relate the linear and non-linear density contrast that accurately recovers the non-linear time evolution for 0 <= z <= 10 at the per cent level. To address the problem of biasing between the matter field and the haloes identified in the simulation, we employ the Eulerian local bias model (ELB), including non-linear bias up to the third order. The bias parameters are obtained by fitting a scatter plot of halo and matter density (both from the simulation and from SPT). Using these bias parameters, we can reconstruct the halo density field. We find that this reconstruction is not able to capture all the details of the halo distribution. We investigate how well the large scale bias can be described by a constant and if it corresponds to the linear bias parameter b_1 of the local bias model. We also discuss how well the halo-halo power spectrum and the halo-mass cross spectrum from the reconstructed halo density field agree with the corresponding statistics from the simulation. The results show that while SPT is an excellent approximation for the matter field for suitably large smoothing scales even at redshift 0, the ELB model can only account for some of the properties of the halo density field.

17 pages, 16 figures. Matches version accepted by MNRAS

References in corpus (9)

• The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
• A critical look at cosmological perturbation theory techniques
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• Luminosity and redshift dependent quasar clustering
• Primordial non-Gaussianity in the Bispectrum of the Halo Density Field
• Signature of Primordial Non-Gaussianity on Matter Power Spectrum
• Perturbation Theory Reloaded II: Non-linear Bias, Baryon Acoustic Oscillations and Millennium Simulation In Real Space

Cited by in corpus (36)

• Large-Scale Galaxy Bias
• Gravity and Large-Scale Non-local Bias
• Towards an accurate model of the redshift space clustering of halos in the quasilinear regime
• Convolution Lagrangian perturbation theory for biased tracers
• Halo Stochasticity from Exclusion and non-linear Clustering
• Constraining primordial non-Gaussianity with future galaxy surveys
• The Effective Field Theory of Large Scale Structure at Two Loops: the apparent scale dependence of the speed of sound
• Modeling Biased Tracers at the Field Level
• The Zeldovich approximation
• An analytic model for redshift-space distortions
• The Effective Field Theory of Dark Matter and Structure Formation: Semi-Analytical Results
• On the reach of perturbative descriptions for dark matter displacement fields
• Inverted initial conditions: exploring the growth of cosmic structure and voids
• GridSPT: Grid-based calculation for perturbation theory of large-scale structure
• The spatial and velocity bias of linear density peaks and proto-haloes in the Lambda cold dark matter cosmology
• Testing one-loop galaxy bias: Power spectrum
• Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space
• Modelling large-scale halo bias using the bispectrum
• On the reach of perturbative methods for dark matter density fields
• Precise Calibration of the One-Loop Bispectrum in the Effective Field Theory of Large Scale Structure
• The two-loop bispectrum of large-scale structure
• Non-local bias in the halo bispectrum with primordial non-Gaussianity
• A new method to measure galaxy bias
• Effect of halo bias and Lyman Limit Systems on the history of cosmic reionization
• Precise Calibration of the One-Loop Trispectrum in the Effective Field Theory of Large Scale Structure
• Testing one-loop galaxy bias: cosmological constraints from the power spectrum
• Euclid preparation. XLI. Galaxy power spectrum modelling in real space
• A new method to measure galaxy bias by combining the density and weak lensing fields
• Renormalisation of linear halo bias in N-body simulations
• Halo concentrations from extended Press-Schechter merger histories
• Grid-based calculations of redshift-space matter fluctuations from perturbation theory: UV sensitivity and convergence at the field level
• Consistency Relations in Effective Field Theory
• A fully Lagrangian, non-parametric bias model for dark-matter halos
• Bye-bye, Local-in-matter-density Bias: The Statistics of the Halo Field Are Poorly Determined by the Local Mass Density
• The reach of next-to-leading-order perturbation theory for the matter bispectrum
• Perturbation Theory Remixed II: Improved Modeling of Nonlinear Bispectrum