Separate Universe calibration of the dependence of halo bias on cosmic web anisotropy

Abstract

We use the Separate Universe technique to calibrate the dependence of linear and quadratic halo bias $b_1$ and $b_2$ on the local cosmic web environment of dark matter haloes. We do this by measuring the response of halo abundances at fixed mass and cosmic web tidal anisotropy $\alpha$ to an infinite wavelength initial perturbation. We augment our measurements with an analytical framework developed in earlier work which exploits the near-Lognormal shape of the distribution of $\alpha$ and results in very high precision calibrations. We present convenient fitting functions for the dependence of $b_1$ and $b_2$ on $\alpha$ over a wide range of halo mass for redshifts $0\le z\le 1$. Our calibration of $b_2(\alpha )$ is the first demonstration to date of the dependence of non-linear bias on the local web environment. Motivated by previous results which showed that $\alpha$ is the primary indicator of halo assembly bias for a number of halo properties beyond halo mass, we then extend our analytical framework to accommodate the dependence of $b_1$ and $b_2$ on any such secondary property which has, or can be monotonically transformed to have, a Gaussian distribution. We demonstrate this technique for the specific case of halo concentration, finding good agreement with previous results. Our calibrations will be useful for a variety of halo model analyses focusing on galaxy assembly bias, as well as analytical forecasts of the potential for using $\alpha$ as a segregating variable in multi-tracer analyses.

arXiv comment16 pages, 11 figures; v2 - added discussion and references, results unchanged, accepted in MNRAS, calibration codes available at https://github.com/rsujatha/CAB

References in corpus (71)

• A Universal Density Profile from Hierarchical Clustering
• The Structure of Cold Dark Matter Halos
• The cosmological simulation code GADGET-2
• Large scale bias and the peak background split
• An analytic model for the spatial clustering of dark matter haloes
• The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
• The Large Scale Bias of Dark Matter Halos: Numerical Calibration and Model Tests
• The statistics of LCDM Halo Concentrations
• The age dependence of halo clustering
• Galaxy formation in the Planck Cosmology - I. Matching the observed evolution of star formation rates, colours and stellar masses
• The Dependence of Halo Clustering on Halo Formation History, Concentration, and Occupation
• The spin and shape of dark matter haloes in the Millennium simulation of a LambdaCDM universe
• The Connection between Galaxies and Dark Matter Structures in the Local Universe
• On the environmental dependence of halo formation
• Halo Assembly Bias in Hierarchical Structure Formation
• How to measure redshift-space distortions without sample variance
• The Excursion Set Theory of Halo Mass Functions, Halo Clustering, and Halo Growth
• Evolution of the angular momentum of protogalaxies from tidal torques: Zel'dovich approximation
• Self Calibration in Cluster Studies of Dark Energy: Combining the Cluster Redshift Distribution, the Power Spectrum and Mass Measurements
• The Dark Side of Galaxy Color
• The dependence of dark halo clustering on the formation epoch and the concentration parameter
• Detection of the Splashback Radius and Halo Assembly bias of Massive Galaxy Clusters
• Galaxy Bias and non-Linear Structure Formation in General Relativity
• Tidal Effects and the Environment Dependence of Halo Assembly
• Precision measurement of the local bias of dark matter halos
• Subhalo abundance matching and assembly bias in the EAGLE simulation
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• Constraining Primordial non-Gaussianity with Bispectrum and Power Spectum from Upcoming Optical and Radio Surveys
• Assembly bias and the dynamical structure of dark matter halos
• Beyond Assembly Bias: Exploring Secondary Halo Biases for Cluster-size Haloes
• Constraints on Galaxy Bias, Matter Density, and Primordial Non--Gausianity from the PSCz Galaxy Redshift Survey
• Separate Universe Simulations
• Halo assembly bias and the tidal anisotropy of the local halo environment
• Evidence of Halo Assembly Bias in Massive Clusters
• Hunting down horizon-scale effects with multi-wavelength surveys
• On the Level of Cluster Assembly Bias in SDSS
• On Detecting Halo Assembly Bias with Galaxy Populations
• ZOMG-I. How the cosmic web inhibits halo growth and generates assembly bias
• An excursion set model of the cosmic web: The abundance of sheets, filaments and halos
• The assembly bias of dark matter haloes to higher orders
• How does the cosmic web impact assembly bias?
• One step beyond: The excursion set approach with correlated steps
• Constraints on Assembly Bias from Galaxy Clustering
• Assembly Bias and Splashback in Galaxy Clusters
• Dissecting and Modelling Galaxy Assembly Bias
• Environmental dependence in the ellipsoidal collapse model
• The angle-averaged squeezed limit of nonlinear matter N-point functions
• Cosmic web anisotropy is the primary indicator of halo assembly bias
• Galaxy and Mass Assembly (GAMA): halo formation times and halo assembly bias on the cosmic web
• Large-scale assembly bias of dark matter halos
• Galaxy redshift-space bispectrum: the Importance of Being Anisotropic
• A flexible modelling of galaxy assembly bias
• Separate Universe Consistency Relation and Calibration of Halo Bias
• The multidimensional dependence of halo bias in the eye of a machine: a tale of halo structure, assembly and environment
• The Scale-Dependence of Halo Assembly Bias
• Adding Long-Wavelength Power to N-body Simulations
• Modeling Galactic Conformity with the Color-Halo Age Relation in the Illustris Simulation
• The manifestation of secondary halo bias on the galaxy population from IllustrisTNG300
• Observational evidence of galaxy assembly bias
• Adding Long Wavelength Modes to an $N$-Body Simulation
• Halo Histories vs. Galaxy Properties at z=0, I: The Quenching of Star Formation
• The Effects of Halo Assembly Bias on Self-Calibration in Galaxy Cluster Surveys
• Dependence of Halo Bias and Kinematics on Assembly Variables
• On the prospect of using the maximum circular velocity of halos to encapsulate assembly bias in the galaxy-halo connection
• Halo assembly bias from Separate Universe simulations
• Signatures of Cosmic Reionization on the 21cm 2- and 3-point Correlation Function I: Quadratic Bias Modeling
• A clustering-based self-calibration of the richness-to-mass relation of CAMIRA galaxy clusters out to $z\approx 1.1$ in the Hyper Suprime-Cam survey
• Stochastic bias in multi-dimensional excursion set approaches
• Determine the galaxy bias factors on large scales using bispectrum method
• Analytical halo models of cosmic tidal fields
• Joint cosmology and mass calibration from tSZ cluster counts and cosmic shear

Cited by in corpus (11)

• Large-scale dark matter simulations
• Dissecting and Modelling Galaxy Assembly Bias
• The physical origins of low-mass spin bias
• The cosmological dependence of halo and galaxy assembly bias
• SHAM through the lens of a hydrodynamical simulation
• Connections between galaxy properties and halo formation time in the cosmic web
• On the kinetic Sunyaev-Zel'dovich effect as an observational probe for halo spin bias
• Mock halo catalogs: assigning unresolved halo properties using correlations with local halo environment
• The galaxy bias profile of cosmic voids
• Properties beyond mass for unresolved haloes across redshift and cosmology using correlations with local halo environment
• The invariance of group occupation across the cosmic web