The Aemulus Project VI: Emulation of beyond-standard galaxy clustering statistics to improve cosmological constraints

Abstract

There is untapped cosmological information in galaxy redshift surveys in the non-linear regime. In this work, we use the AEMULUS suite of cosmological $N$-body simulations to construct Gaussian process emulators of galaxy clustering statistics at small scales ($0.1-50h^{-1}\mathrm{Mpc}$) in order to constrain cosmological and galaxy bias parameters. In addition to standard statistics -- the projected correlation function $w_{\mathrm{p}}(r_{\mathrm{p}})$, the redshift-space monopole of the correlation function ${\xi }_0(s)$, and the quadrupole ${\xi }_2(s)$ -- we emulate statistics that include information about the local environment, namely the underdensity probability function $P_{\mathrm{U}}(s)$ and the density-marked correlation function $M(s)$. This extends the model of AEMULUS III for redshift-space distortions by including new statistics sensitive to galaxy assembly bias. In recovery tests, we find that the beyond-standard statistics significantly increase the constraining power on cosmological parameters of interest: including $P_{\mathrm{U}}(s)$ and $M(s)$ improves the precision of our constraints on ${\Omega }_m$ by 27%, ${\sigma }_8$ by 19%, and the growth of structure parameter, $f{\sigma }_8$, by 12% compared to standard statistics. We additionally find that scales below $\sim 6h^{-1}\mathrm{Mpc}$ contain as much information as larger scales. The density-sensitive statistics also contribute to constraining halo occupation distribution parameters and a flexible environment-dependent assembly bias model, which is important for extracting the small-scale cosmological information as well as understanding the galaxy-halo connection. This analysis demonstrates the potential of emulating beyond-standard clustering statistics at small scales to constrain the growth of structure as a test of cosmic acceleration.

Published in the Astrophysical Journal; updated to match journal version

References in corpus (85)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• The NumPy array: a structure for efficient numerical computation
• The Sloan Digital Sky Survey: Technical Summary
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
• The Baryon Oscillation Spectroscopic Survey of SDSS-III
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• Analytic model for galaxy and dark matter clustering
• Halos and galaxies in the standard cosmological model: results from the Bolshoi simulation
• The Dark Side of the Halo Occupation Distribution
• 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
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• The SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Overview and Early Data
• The Connection between Galaxies and their Dark Matter Halos
• Modeling Luminosity-Dependent Galaxy Clustering Through Cosmic Time
• Extragalactic Science, Cosmology and Galactic Archaeology with the Subaru Prime Focus Spectrograph (PFS)
• Galaxy Clustering in Early SDSS Redshift Data
• Linking halo mass to galaxy luminosity
• The Dependence of Halo Clustering on Halo Formation History, Concentration, and Occupation
• The Connection between Galaxies and Dark Matter Structures in the Local Universe
• Halo assembly bias and its effects on galaxy clustering
• On the environmental dependence of halo formation
• The Coyote Universe I: Precision Determination of the Nonlinear Matter Power Spectrum
• Dynamic nested sampling: an improved algorithm for parameter estimation and evidence calculation
• A Lower Growth Rate from Recent Redshift Space Distortion Measurements than Expected from Planck
• Cosmological parameter constraints from galaxy-galaxy lensing and galaxy clustering with the SDSS DR7
• The Uchuu Simulations: Data Release 1 and Dark Matter Halo Concentrations
• The Coyote Universe II: Cosmological Models and Precision Emulation of the Nonlinear Matter Power Spectrum
• Voids in the 2dF Galaxy Redshift Survey
• Lensing is Low: Cosmology, Galaxy Formation, or New Physics?
• A 2.5% measurement of the growth rate from small-scale redshift space clustering of SDSS-III CMASS galaxies
• Dark Quest. I. Fast and Accurate Emulation of Halo Clustering Statistics and Its Application to Galaxy Clustering
• Galaxy Assembly Bias: A Significant Source of Systematic Error in the Galaxy-Halo Relationship
• The Three-Point Correlation Function in Cosmology
• Corrfunc --- A Suite of Blazing Fast Correlation Functions on the CPU
• The BACCO Simulation Project: Exploiting the full power of large-scale structure for cosmology
• The Coyote Universe III: Simulation Suite and Precision Emulator for the Nonlinear Matter Power Spectrum
• Cosmological $N$-body simulations with suppressed variance
• Euclid preparation: II. The EuclidEmulator -- A tool to compute the cosmology dependence of the nonlinear matter power spectrum
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the emission line galaxy sample from the anisotropic power spectrum between redshift 0.6 and 1.1
• COSMOPOWER: emulating cosmological power spectra for accelerated Bayesian inference from next-generation surveys
• Introducing Decorated HODs: modeling assembly bias in the galaxy-halo connection
• KiDS+VIKING-450 and DES-Y1 combined: Cosmology with cosmic shear
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the full shape of the clustering wedges in the data release 10 and 11 galaxy samples
• 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
• The Impact of Assembly Bias on the Galaxy Content of Dark Matter Halos
• The Mira-Titan Universe II: Matter Power Spectrum Emulation
• The Concentration Dependence of the Galaxy-Halo Connection: Modeling Assembly Bias with Abundance Matching
• The Aemulus Project III: Emulation of the Galaxy Correlation Function
• The Aemulus Project II: Emulating the Halo Mass Function
• Forward Modeling of Large-Scale Structure: An open-source approach with Halotools
• Nearest Neighbor distributions: new statistical measures for cosmological clustering
• Void Statistics in Large Galaxy Redshift Surveys: Does Halo Occupation of Field Galaxies Depend on Environment?
• Cosmic Emulation: Fast Predictions for the Galaxy Power Spectrum
• BOSS Correlation Function Analysis from the Effective Field Theory of Large-Scale Structure
• A marked correlation function for constraining modified gravity models
• The cosmology dependence of galaxy clustering and lensing from a hybrid $N$-body-perturbation theory model
• UNIT project: Universe $N$-body simulations for the Investigation of Theoretical models from galaxy surveys
• Dark matter statistics for large galaxy catalogs: power spectra and covariance matrices
• The Stripe 82 Massive Galaxy Project II: Stellar Mass Completeness of Spectroscopic Galaxy Samples from the Baryon Oscillation Spectroscopic Survey
• Luminous Red Galaxies in Clusters: Central Occupation, Spatial Distributions, and Mis-centering
• 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
• Evidence for galaxy assembly bias in BOSS CMASS redshift-space galaxy correlation function
• Three-Point Correlation Functions of SDSS Galaxies: Constraining Galaxy-Mass Bias
• The Aemulus Project V: Cosmological constraint from small-scale clustering of BOSS galaxies
• Emulating galaxy clustering and galaxy-galaxy lensing into the deeply nonlinear regime: methodology, information, and forecasts
• On the road to percent accuracy II: calibration of the non-linear matter power spectrum for arbitrary cosmologies
• Breaking Halo Occupation Degeneracies with Marked Statistics
• Aemulus $\nu$: Precise Predictions for Matter and Biased Tracer Power Spectra in the Presence of Neutrinos
• The Incomplete Conditional Stellar Mass Function: Unveiling the Stellar Mass Functions of Galaxies at 0.1 < Z < 0.8 from BOSS Observations
• Cosmic Voids and Galaxy Bias in the Halo Occupation Framework
• Cosmological parameter estimation via iterative emulation of likelihoods
• Testing the Accuracy of Halo Occupation Distribution Modelling using Hydrodynamic Simulations
• Probing Galaxy Assembly Bias in BOSS Galaxies Using Void Probabilities
• How to Optimally Constrain Galaxy Assembly Bias: Supplement Projected Correlation Functions with Count-in-cells Statistics
• 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
• Measurement of marked correlation functions in SDSS-III Baryon Oscillation Spectroscopic Survey using LOWZ galaxies in Data Release 12
• Multi-Fidelity Emulation for the Matter Power Spectrum using Gaussian Processes
• Combined full shape analysis of BOSS galaxies and eBOSS quasars using an iterative emulator
• Toward Accurate Modeling of Galaxy Clustering on Small Scales: Constraining the Galaxy-Halo Connection with Optimal Statistics
• Constraining galaxy-halo connection with high-order statistics
• Neural Network Acceleration of Large-scale Structure Theory Calculations

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• A Parameter-Masked Mock Data Challenge for Beyond-Two-Point Galaxy Clustering Statistics
• CSST Cosmological Emulator I: Matter Power Spectrum Emulation with one percent accuracy to k = 10 h/Mpc
• The FLAMINGO project: Baryon effects on the matter power spectrum
• Cosmology with Galaxy Cluster Properties using Machine Learning
• CSST Cosmological Emulator II: Generalized Accurate Halo Mass Function Emulation
• Cosmological Inference with Cosmic Voids and Neural Network Emulators
• Aemulus $\nu$: Precision halo mass functions in w$\nu$CDM cosmologies
• An emulation-based model for the projected correlation function
• A Non-parametric Method for the Inference of Halo Occupation Distributions
• Enhancing Cosmological Constraints by Two-dimensional $\beta$-cosmic-web Weighted Angular Correlation Functions