The Aemulus Project III: Emulation of the Galaxy Correlation Function

Abstract

Using the N-body simulations of the AEMULUS Project, we construct an emulator for the non-linear clustering of galaxies in real and redshift space. We construct our model of galaxy bias using the halo occupation framework, accounting for possible velocity bias. The model includes 15 parameters, including both cosmological and galaxy bias parameters. We demonstrate that our emulator achieves ~ 1% precision at the scales of interest, 0.1<r<10 h^{-1} Mpc, and recovers the true cosmology when tested against independent simulations. Our primary parameters of interest are related to the growth rate of structure, f, and its degenerate combination fsigma_8. Using this emulator, we show that the constraining power on these parameters monotonically increases as smaller scales are included in the analysis, all the way down to 0.1 h^{-1} Mpc. For a BOSS-like survey, the constraints on fsigma_8 from r<30 h^{-1} Mpc scales alone are more than a factor of two tighter than those from the fiducial BOSS analysis of redshift-space clustering using perturbation theory at larger scales. The combination of real- and redshift-space clustering allows us to break the degeneracy between f and sigma_8, yielding a 9% constraint on f alone for a BOSS-like analysis. The current AEMULUS simulations limit this model to surveys of massive galaxies. Future simulations will allow this framework to be extended to all galaxy target types, including emission-line galaxies.

arXiv comment14 pages, 8 figures, 1 table; submitted to ApJ; the project webpage is available at https://aemulusproject.github.io ; typo in Figure 7 and caption updated, results unchanged

References in corpus (54)

• emcee: The MCMC Hammer
• The NumPy array: a structure for efficient numerical computation
• Planck 2015 results. XIII. Cosmological parameters
• The Sloan Digital Sky Survey: Technical Summary
• The Structure of Cold Dark Matter Halos
• The Seventh Data Release of the Sloan Digital Sky Survey
• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• Baryonic Features in the Matter Transfer Function
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• The Baryon Oscillation Spectroscopic Survey of SDSS-III
• Halo Models of Large Scale Structure
• Toward a halo mass function for precision cosmology: the limits of universality
• Analytic model for galaxy and dark matter clustering
• Halo occupation numbers and galaxy bias
• MultiDark simulations: the story of dark matter halo concentrations and density profiles
• Halos and galaxies in the standard cosmological model: results from the Bolshoi simulation
• The Halo Occupation Distribution: Towards an Empirical Determination of the Relation Between Galaxies and Mass
• Theoretical Models of the Halo Occupation Distribution: Separating Central and Satellite Galaxies
• The SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Overview and Early Data
• Galaxy Clustering in the Completed SDSS Redshift Survey: The Dependence on Color and Luminosity
• Extragalactic Science, Cosmology and Galactic Archaeology with the Subaru Prime Focus Spectrograph (PFS)
• The age dependence of halo clustering
• Galaxy Evolution from Halo Occupation Distribution Modeling of DEEP2 and SDSS Galaxy Clustering
• The Dependence of Halo Clustering on Halo Formation History, Concentration, and Occupation
• The WiggleZ Dark Energy Survey: Survey Design and First Data Release
• The Nature of Galaxy Bias and Clustering
• Fingers of God
• On the Mass-to-Light Ratio of Large Scale Structure
• On the environmental dependence of halo formation
• The Coyote Universe I: Precision Determination of the Nonlinear Matter Power Spectrum
• The clustering of massive galaxies at z~0.5 from the first semester of BOSS data
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS): measuring growth rate and geometry with anisotropic clustering
• The Coyote Universe II: Cosmological Models and Precision Emulation of the Nonlinear Matter Power Spectrum
• The Coyote Universe Extended: Precision Emulation of the Matter Power Spectrum
• A marked correlation function analysis of halo formation times in the Millennium Simulation
• Convolution Lagrangian perturbation theory for biased tracers
• A critical look at cosmological perturbation theory techniques
• A 2.5% measurement of the growth rate from small-scale redshift space clustering of SDSS-III CMASS galaxies
• The Coyote Universe III: Simulation Suite and Precision Emulator for the Nonlinear Matter Power Spectrum
• Clustering in the 1.2 Jy IRAS Galaxy Redshift Survey I: The Redshift and Real Space Correlation Functions
• Gaussian covariance matrices for anisotropic galaxy clustering measurements
• Cosmological Constraints from Galaxy Clustering and the Mass-to-Number Ratio of Galaxy Clusters
• The Aemulus Project II: Emulating the Halo Mass Function
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: the low redshift sample
• Void Statistics in Large Galaxy Redshift Surveys: Does Halo Occupation of Field Galaxies Depend on Environment?
• The halo model and numerical simulations
• Cosmic Emulation: Fast Predictions for the Galaxy Power Spectrum
• The 3-point function in large scale structure: redshift distortions and galaxy bias
• The clustering of luminous red galaxies at z $\sim$ 0.7 from eBOSS and BOSS data
• Emulating galaxy clustering and galaxy-galaxy lensing into the deeply nonlinear regime: methodology, information, and forecasts
• Modelling The Redshift-Space Three-Point Correlation Function in SDSS-III
• Cosmic Voids and Galaxy Bias in the Halo Occupation Framework
• Cosmological Constraints from Galaxy Clustering and the Mass-to-Number Ratio of Galaxy Clusters: Marginalizing over the Physics of Galaxy Formation
• Towards Accurate Modelling of Galaxy Clustering on Small Scales: Testing the Standard $\Lambda \mathrm{CDM}$ + Halo Model

Cited by in corpus (102)

• The Quijote simulations
• DESI Bright Galaxy Survey: Final Target Selection, Design, and Validation
• Dark Quest. I. Fast and Accurate Emulation of Halo Clustering Statistics and Its Application to Galaxy Clustering
• Large-scale dark matter simulations
• Euclid preparation: IX. EuclidEmulator2 -- Power spectrum emulation with massive neutrinos and self-consistent dark energy perturbations
• The Aemulus Project I: Numerical Simulations for Precision Cosmology
• Constraining $M_{\nu }$ with the Bispectrum I: Breaking Parameter Degeneracies
• The High Latitude Spectroscopic Survey on the Nancy Grace Roman Space Telescope
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• AbacusHOD: A highly efficient extended multi-tracer HOD framework and its application to BOSS and eBOSS data
• The cosmology dependence of galaxy clustering and lensing from a hybrid $N$-body-perturbation theory model
• Simulations and symmetries
• Ultra-light axions and the $S_8$ tension: joint constraints from the cosmic microwave background and galaxy clustering
• Testing the theory of gravity with DESI: estimators, predictions and simulation requirements
• Stringent ${\sigma }_8$ constraints from small-scale galaxy clustering using a hybrid MCMC+emulator framework
• Five-percent measurements of the growth rate from simulation-based modelling of redshift-space clustering in BOSS LOWZ
• Active Galactic Nuclei and their Large-scale Structure: an eROSITA mock catalogue
• A flexible modelling of galaxy assembly bias
• Redshift-space distortions with split densities
• The Aemulus Project V: Cosmological constraint from small-scale clustering of BOSS galaxies
• Extensions to models of the galaxy-halo connection
• Accurate emulator for the redshift-space power spectrum of dark matter halos and its application to galaxy power spectrum
• Cosmology with galaxy-galaxy lensing on non-perturbative scales: Emulation method and application to BOSS LOWZ
• On the road to percent accuracy II: calibration of the non-linear matter power spectrum for arbitrary cosmologies
• Matter Power Spectrum Emulator for f(R) Modified Gravity Cosmologies
• CARPool: fast, accurate computation of large-scale structure statistics by pairing costly and cheap cosmological simulations
• The Mira-Titan Universe IV. High Precision Power Spectrum Emulation
• An emulator for the Lyman-$\alpha$ forest in beyond-$\Lambda$CDM cosmologies
• FORGE -- the f(R) gravity cosmic emulator project I: Introduction and matter power spectrum emulator
• 3\%-accurate predictions for the clustering of dark matter, haloes and subhaloes, over a wide range of cosmologies and scales
• Illustrating galaxy-halo connection in the DESI era with IllustrisTNG
• New perspectives on the BOSS small-scale lensing discrepancy for the Planck $\Lambda$CDM Cosmology
• General framework for cosmological dark matter bounds using $N$-body simulations
• A fast particle-mesh simulation of non-linear cosmological structure formation with massive neutrinos
• Aemulus $\nu$: Precise Predictions for Matter and Biased Tracer Power Spectra in the Presence of Neutrinos
• Accelerating Large-Scale-Structure data analyses by emulating Boltzmann solvers and Lagrangian Perturbation Theory
• Priors on red galaxy stochasticity from hybrid effective field theory
• Constraints on $S_8$ from a full-scale and full-shape analysis of redshift-space clustering and galaxy-galaxy lensing in BOSS
• Cosmological parameter estimation via iterative emulation of likelihoods
• CosmicNet II: Emulating extended cosmologies with efficient and accurate neural networks
• Simulating intergalactic gas for DESI-like small scale Lymanα forest observations
• Cosmology with Stacked Cluster Weak Lensing and Cluster-Galaxy Cross-Correlations
• Machine Learning for Observational Cosmology
• Precise Cosmological Constraints from BOSS Galaxy Clustering with a Simulation-Based Emulator of the Wavelet Scattering Transform
• How to Optimally Constrain Galaxy Assembly Bias: Supplement Projected Correlation Functions with Count-in-cells Statistics
• Cosmological Evidence Modelling: a new simulation-based approach to constrain cosmology on non-linear scales
• The MillenniumTNG Project: Inferring cosmology from galaxy clustering with accelerated N-body scaling and subhalo abundance matching
• The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the growth rate of structure from the small-scale clustering of the luminous red galaxy sample
• Prediction of H$\alpha$ and [OIII] Emission Line Galaxy Number Counts for Future Galaxy Redshift Surveys
• NECOLA: Towards a Universal Field-level Cosmological Emulator
• Multi-Fidelity Emulation for the Matter Power Spectrum using Gaussian Processes
• $\text{matryoshka}$: Halo Model Emulator for the Galaxy Power Spectrum
• COMET: Clustering Observables Modelled by Emulated perturbation Theory
• Cosmological information content in redshift-space power spectrum of SDSS-like galaxies in the quasi-nonlinear regime up to $k=0.3h$Mpc${}^{-1}$
• CSST Cosmological Emulator I: Matter Power Spectrum Emulation with one percent accuracy to k = 10 h/Mpc
• The Effects of Galaxy Assembly Bias on the Inference of Growth Rate from Redshift-Space Distortions
• The Aemulus Project VI: Emulation of beyond-standard galaxy clustering statistics to improve cosmological constraints
• An Analytic Hybrid Halo + Perturbation Theory Model for Small-scale Correlators: Baryons, Halos, and Galaxies
• Probing massive neutrinos with the Minkowski functionals of the galaxy distribution
• $\text{matryoshka}$ II: Accelerating Effective Field Theory Analyses of the Galaxy Power Spectrum
• CSST large-scale structure analysis pipeline: I. constructing reference mock galaxy redshift surveys
• Combined full shape analysis of BOSS galaxies and eBOSS quasars using an iterative emulator
• DESI Legacy Imaging Surveys Data Release 9: Cosmological Constraints from Galaxy Clustering and Weak Lensing using the Minimal Bias Model
• Generating mock galaxy catalogues for flux-limited samples like the DESI Bright Galaxy Survey
• Modeling Redshift-Space Clustering with Abundance Matching
• Cosmological Probes of Structure Growth and Tests of Gravity
• Full forward model of galaxy clustering statistics with AbacusSummit lightcones
• syren-new: Precise formulae for the linear and nonlinear matter power spectra with massive neutrinos and dynamical dark energy
• Detection of spatial clustering in the 1000 richest SDSS DR8 redMaPPer clusters with Nearest Neighbor distributions
• The Sejong Suite: Cosmological Hydrodynamical Simulations with Massive Neutrinos, Dark Radiation, and Warm Dark Matter
• A multitracer analysis for the eBOSS galaxy sample based on the effective field theory of large-scale structure
• Galaxy clustering from the bottom up: A Streaming Model emulator I
• Clustering in the Simulated H$\alpha$ Galaxy Redshift Survey from Nancy Grace Roman Space Telescope
• Nonlinear reconstruction of features in the primordial power spectrum from large-scale structure
• Halo Occupation Distribution of Emission Line Galaxies: fitting method with Gaussian Processes
• Using GAMA to probe the impact of small-scale galaxy physics on nonlinear redshift-space distortions
• Galaxy Clustering in the Mira-Titan Universe I: Emulators for the redshift space galaxy correlation function and galaxy-galaxy lensing
• Bayesian Control Variates for optimal covariance estimation with pairs of simulations and surrogates
• Revisiting Vainshtein Screening for fast N-body simulations
• A field-level emulator for modeling baryonic effects across hydrodynamic simulations
• A semi-analytic model of pairwise velocity distribution between dark matter halos
• Validating the clustering predictions of empirical models with the FLAMINGO simulations
• Fast generation of mock galaxy catalogues with COLA
• Study on the mapping of halo clustering from real space to redshift space
• CSST Cosmological Emulator II: Generalized Accurate Halo Mass Function Emulation
• Isolating the linear signal when making redshift space distortion measurements
• CSST Cosmological Emulator III: Hybrid Lagrangian Bias Expansion Emulation of Galaxy Clustering
• Small scale clustering of BOSS galaxies: dependence on luminosity, color, age, stellar mass, specific star formation rate and other properties
• The BACCO Simulation Project: A baryonification emulator with Neural Networks
• Cosmological Inference with Cosmic Voids and Neural Network Emulators
• On the Constraints of Galaxy Assembly Bias in Velocity Space
• Phenomenological power spectrum models for H$\alpha$ emission line galaxies from the Nancy Grace Roman Space Telescope
• Extending evolution mapping to massive neutrinos with COMET
• Parameter inference with non-linear galaxy clustering: accounting for theoretical uncertainties
• Aemulus $\nu$: Precision halo mass functions in w$\nu$CDM cosmologies
• Ten-dimensional neural network emulator for the nonlinear matter power spectrum
• Galaxy Velocity Bias in Cosmological Simulations: Towards Percent-level Calibration
• Design and optimization of neural networks for multifidelity cosmological emulation
• Testing Large-Scale Structure Measurements Against Fisher Matrix Predictions
• Neural network emulator to constrain the high-$z$ IGM thermal state from Lyman-$\alpha$ forest flux auto-correlation function
• A Non-parametric Method for the Inference of Halo Occupation Distributions
• An emulation-based model for the projected correlation function