Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum

Abstract

Understanding the relation between underlying matter distribution and biased tracers such as galaxy or dark matter halo is essential to extract cosmological information from ongoing or future galaxy redshift surveys. At sufficiently large scales such as the BAO scale, a standard approach for the bias problem on the basis of the perturbation theory (PT) is to assume the `local bias' model in which the density field of biased tracers is deterministically expanded in terms of matter density field at the same position. The higher-order bias parameters are then determined by combining the power spectrum with higher-order statistics such as the bispectrum. As is pointed out by recent studies, however, nonlinear gravitational evolution naturally induces nonlocal bias terms even if initially starting only with purely local bias. As a matter of fact, previous works showed that the second-order nonlocal bias term, which corresponds to the gravitational tidal field, is important to explain the characteristic scale-dependence of the bispectrum. In this paper we extend the nonlocal bias term up to third order, and investigate whether the PT-based model including nonlocal bias terms can simultaneously explain the power spectrum and the bispectrum of simulated halos in $N$-body simulations. We show that the power spectrum, including density and momentum, and the bispectrum between halo and matter in $N$-body simulations can be simultaneously well explained by the model including up to third-order nonlocal bias terms up to k~0.1h/Mpc. Also, the results seem in a good agreement with theoretical predictions of a simple coevolution picture, although the agreement is not perfect. These demonstration clearly shows a failure of the local bias model even at such large scales, and we conclude that nonlocal bias terms should be consistently included in order to model statistics of halos. [abridged]

arXiv comment29 pages, matched to the accepted version

References in corpus (89)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Planck 2013 results. XVI. Cosmological parameters
• The cosmological simulation code GADGET-2
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Large scale bias and the peak background split
• SDSS-III: Massive Spectroscopic Surveys of the Distant Universe, the Milky Way Galaxy, and Extra-Solar Planetary Systems
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• Halo Models of Large Scale Structure
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• The galileon as a local modification of gravity
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• Toward a halo mass function for precision cosmology: the limits of universality
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Observational Probes of Cosmic Acceleration
• Analytic model for galaxy and dark matter clustering
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• A Comprehensive Analysis of Uncertainties Affecting the Stellar Mass - Halo Mass Relation for 0<z<4
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• The WiggleZ Dark Energy Survey: Survey Design and First Data Release
• The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Constraints on local primordial non-Gaussianity from large scale structure
• Biasing and Hierarchical Statistics in Large-scale Structure
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: measurements of the growth of structure and expansion rate at z=0.57 from anisotropic clustering
• Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• The Connection between Galaxies and Dark Matter Structures in the Local Universe
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Testing gravity with redshift-space distortions using the power spectrum multipoles
• Gravity and Large-Scale Non-local Bias
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS): measuring growth rate and geometry with anisotropic clustering
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Including covariance matrix errors
• The WiggleZ Dark Energy Survey: testing the cosmological model with baryon acoustic oscillations at z=0.6
• A critical look at cosmological perturbation theory techniques
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Measuring D_A and H at z=0.57 from the Baryon Acoustic Peak in the Data Release 9 Spectroscopic Galaxy Sample
• Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample
• The WiggleZ Dark Energy Survey: the transition to large-scale cosmic homogeneity
• A 2.5% measurement of the growth rate from small-scale redshift space clustering of SDSS-III CMASS galaxies
• Scale-dependent bias induced by local non-Gaussianity: A comparison to N-body simulations
• Galaxy Assembly Bias: A Significant Source of Systematic Error in the Galaxy-Halo Relationship
• Renormalized Halo Bias
• The Dark Side of Galaxy Color
• Halo Stochasticity from Exclusion and non-linear Clustering
• Modelling Baryon Acoustic Oscillations with Perturbation Theory and Stochastic Halo Biasing
• Clustering of dark matter tracers: renormalizing the bias parameters
• The bias field of dark matter haloes
• Cosmology with massive neutrinos I: towards a realistic modeling of the relation between matter, haloes and galaxies
• HETDEX pilot survey for emission-line galaxies - I. Survey design, performance, and catalog
• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
• Evolution of the Stellar-to-Dark Matter Relation: Separating Star-Forming and Passive Galaxies from z=1 to 0
• How to suppress the shot noise in galaxy surveys
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Signs of neutrino mass in current cosmological datasets
• A theoretical framework for combining techniques that probe the link between galaxies and dark matter
• Modeling Nonlinear Evolution of Baryon Acoustic Oscillations: Convergence Regime of N-body Simulations and Analytic Models
• Primordial non-Gaussianity in the Bispectrum of the Halo Density Field
• Redshift space correlations and scale-dependent stochastic biasing of density peaks
• Nonlinear power spectrum in the presence of massive neutrinos: perturbation theory approach, galaxy bias and parameter forecasts
• Non-local Lagrangian bias
• Baryon acoustic signature in the clustering of density maxima
• Peak-Background Split, Renormalization, and Galaxy Clustering
• Distribution function approach to redshift space distortions
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: modeling of the luminosity and colour dependence in the Data Release 10
• Perturbation Theory Reloaded II: Non-linear Bias, Baryon Acoustic Oscillations and Millennium Simulation In Real Space
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: weighing the neutrino mass using the galaxy power spectrum of the CMASS sample
• Excursion set peaks: a self-consistent model of dark halo abundances and clustering
• Distribution function approach to redshift space distortions. Part IV: perturbation theory applied to dark matter
• Distribution function approach to redshift space distortions. Part II: N-body simulations
• Consequences of Symmetries and Consistency Relations in the Large-Scale Structure of the Universe for Non-local bias and Modified Gravity
• Distribution function approach to redshift space distortions, Part III: halos and galaxies
• The WiggleZ Dark Energy Survey: measuring the cosmic growth rate with the two-point galaxy correlation function
• Neutrino mass constraint with the Sloan Digital Sky Survey power spectrum of luminous red galaxies and perturbation theory
• Distribution function approach to redshift space distortions. Part V: perturbation theory applied to dark matter halos
• Scale dependent halo bias in the excursion set approach
• The spatial and velocity bias of linear density peaks and proto-haloes in the Lambda cold dark matter cosmology
• The Evolution of Bias - Generalized
• Constraint on the cosmological f(R) model from the multipole power spectrum of the SDSS luminous red galaxy sample and prospects for a future redshift survey
• Non-local halo bias with and without massive neutrinos
• Modelling large-scale halo bias using the bispectrum
• Bias deconstructed: Unravelling the scale dependence of halo bias using real space measurements
• Optimal Weighting in Galaxy Surveys: Application to Redshift-Space Distortions
• A new method to measure galaxy bias
• Galaxy peculiar velocities and evolution-bias
• Perturbation theory for nonlinear halo power spectrum: the renormalized bias and halo bias
• Stochastic Biasing and Weakly Non-linear Evolution of Power Spectrum
• Geometric and dynamic distortions in anisotropic galaxy clustering
• Nonlinear stochastic biasing of halos: Analysis of cosmological N-body simulations and perturbation theories

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