Comparing halo bias from abundance and clustering

Abstract

We model the abundance of haloes in the $\sim (3\text{Gpc}/h{)}^3$ volume of the MICE Grand Challenge simulation by fitting the universal mass function with an improved Jack-Knife error covariance estimator that matches theory predictions. We present unifying relations between different fitting models and new predictions for linear ($b_1$) and non-linear ($c_2$ and $c_3$) halo clustering bias. Different mass function fits show strong variations in their performance when including the low mass range ($M_h\lesssim 310^{12}{M}_{\odot }/h$) in the analysis. Together with fits from the literature we find an overall variation in the amplitudes of around $10$% in the low mass and up to $50$% in the high mass (galaxy cluster) range ($M_h>10^{14}{M}_{\odot }/h$). These variations propagate into a $10$% change in $b_1$ predictions and a $50$% change in $c_2$ or $c_3$. Despite these strong variations we find universal relations between $b_1$ and $c_2$ or $c_3$ for which we provide simple fits. Excluding low mass haloes, different models fitted with reasonable goodness in this analysis, show percent level agreement in their $b_1$ predictions, but are systematically $5-10$% lower than the bias directly measured with two-point halo-mass clustering. This result confirms previous findings derived from smaller volumes (and smaller masses). Inaccuracies in the bias predictions lead to $5-10$% errors in growth measurements. They also affect any HOD fitting or (cluster) mass calibration from clustering measurements.

arXiv comment20 pages, 15 figures, 5 tables, accepted for publication in MNRAS

References in corpus (50)

• The cosmological simulation code GADGET-2
• Large scale bias and the peak background split
• Halo Models of Large Scale Structure
• Toward a halo mass function for precision cosmology: the limits of universality
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• Mass function of dark matter halos
• An analytic model for the spatial clustering of dark matter haloes
• Observational Probes of Cosmic Acceleration
• The Large Scale Bias of Dark Matter Halos: Numerical Calibration and Model Tests
• Merger rates in hierarchical models of galaxy formation. II: Comparison with N-body simulations
• How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering
• Precision Determination of the Mass Function of Dark Matter Halos
• Sample Variance Considerations for Cluster Surveys
• Biasing and Hierarchical Statistics in Large-scale Structure
• Statistical Analysis of Galaxy Surveys - I. Robust error estimation for 2-point clustering statistics
• The halo mass function from the dark ages through the present day
• Gravity and Large-Scale Non-local Bias
• The halo mass function through the cosmic ages
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• The mass function
• The Halo Mass Function: High-Redshift Evolution and Universality
• High-Order Correlations of Peaks and Halos: a Step toward Understanding Galaxy Biasing
• Self-Calibration of Cluster Dark Energy Studies: Observable-Mass Distribution
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• Cosmology with massive neutrinos II: on the universality of the halo mass function and bias
• Simulating the Universe with MICE: The abundance of massive clusters
• Mass Function Predictions Beyond LCDM
• Galaxy clustering in the CFHTLS-Wide: the changing relationship between galaxies and haloes since z ~ 1.2
• An algorithm to build mock galaxy catalogues using MICE simulations
• Mass Calibration and Cosmological Analysis of the SPT-SZ Galaxy Cluster Sample Using Velocity Dispersion ${\sigma }_v$ and X-ray $Y_{\text{X}}$ Measurements
• The overdensity and masses of the friends-of-friends halos and universality of the halo mass function
• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
• Self-Calibration of Cluster Dark Energy Studies: Counts in Cells
• Imprints of dark energy on cosmic structure formation: II) Non-Universality of the halo mass function
• Peak-Background Split, Renormalization, and Galaxy Clustering
• Large scale bias and the inaccuracy of the peak-background split
• Excursion set peaks: a self-consistent model of dark halo abundances and clustering
• Measuring the growth of matter fluctuations with third-order galaxy correlations
• The Local Bias Model in the Large Scale Halo Distribution
• Non-local halo bias with and without massive neutrinos
• Building a Predictive Model of Galaxy Formation - I: Phenomenological Model Constrained to the $z=0$ Stellar Mass Function
• The Impact of Theoretical Uncertainties in the Halo Mass Function and Halo Bias on Precision Cosmology
• Estimating Luminosity Function Constraints from High-Redshift Galaxy Surveys
• How covariant is the galaxy luminosity function?
• Are the halo occupation predictions consistent with large scale galaxy clustering?
• Constraining neutrino properties with a Euclid-like galaxy cluster survey
• Covariance matrices for halo number counts and correlation functions
• What do cluster counts really tell us about the Universe?
• On the equivalence between the effective cosmology and excursion set treatments of environment
• Cluster Probes of Dark Energy Clustering

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• Halo bias in Lagrangian Space: Estimators and theoretical predictions
• DEMNUni: Massive neutrinos and the bispectrum of large scale structures
• Toward a robust inference method for the galaxy bispectrum: likelihood function and model selection
• Cluster abundance in chameleon $f(R)$ gravity I: toward an accurate halo mass function prediction
• The VIMOS Public Extragalactic Redshift Survey (VIPERS): An unbiased estimate of the growth rate of structure at $⟨\mathbf{z}⟩=0.85$ using the clustering of luminous blue galaxies
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• A Redefinition of the Halo Boundary Leads to a Simple yet Accurate Halo Model of Large Scale Structure
• Projected-Field Kinetic Sunyaev-Zel'dovich Cross-Correlations: Halo Model and Forecasts
• What determines large scale galaxy clustering: halo mass or local density?
• Linear and non-linear bias: predictions vs. measurements
• Halo assembly bias from Separate Universe simulations
• Non-local bias contribution to third-order galaxy correlations
• Convolution Lagrangian perturbation theory for biased tracers beyond general relativity
• Inadequacy of internal covariance estimation for super-sample covariance
• Renormalisation of linear halo bias in N-body simulations
• Measuring Linear and Non-linear Galaxy Bias Using Counts-in-Cells in the Dark Energy Survey Science Verification Data
• A Better Way to Define Dark Matter Haloes
• Testing the consistency of three-point halo clustering in Fourier and configuration space
• Cosmological constraints from multiple tracers in spectroscopic surveys
• Comparison of the linear bias models in the light of the Dark Energy Survey