Precision Redshift-Space Galaxy Power Spectra using Zel'dovich Control Variates

Abstract

Numerical simulations in cosmology require trade-offs between volume, resolution and run-time that limit the volume of the Universe that can be simulated, leading to sample variance in predictions of ensemble-average quantities such as the power spectrum or correlation function(s). Sample variance is particularly acute at large scales, which is also where analytic techniques can be highly reliable. This provides an opportunity to combine analytic and numerical techniques in a principled way to improve the dynamic range and reliability of predictions for clustering statistics. In this paper we extend the technique of Zel'dovich control variates, previously demonstrated for 2-point functions in real space, to reduce the sample variance in measurements of 2-point statistics of biased tracers in redshift space. We demonstrate that with this technique, we can reduce the sample variance of these statistics down to their shot-noise limit out to $k\sim 0.2h\mathrm{Mp}{\mathrm{c}}^{-1}$. This allows a better matching with perturbative models and improved predictions for the clustering of e.g.~quasars, galaxies and neutral Hydrogen measured in spectroscopic redshift surveys at very modest computational expense. We discuss the implementation of ZCV, give some examples and provide forecasts for the efficacy of the method under various conditions.

arXiv comment17 pages main text, 5 pages of appendices, 9 figures

References in corpus (63)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• E pur si muove: Galiliean-invariant cosmological hydrodynamical simulations on a moving mesh
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• The Average Star Formation Histories of Galaxies in Dark Matter Halos from z=0-8
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• Analytic model for galaxy and dark matter clustering
• The Halo Occupation Distribution: Towards an Empirical Determination of the Relation Between Galaxies and Mass
• Large-Scale Galaxy Bias
• Galaxy Clustering in the Completed SDSS Redshift Survey: The Dependence on Color and Luminosity
• Nonlinear evolution of cosmological power spectra
• Galaxy Evolution from Halo Occupation Distribution Modeling of DEEP2 and SDSS Galaxy Clustering
• Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Simulating cosmic structure formation with the GADGET-4 code
• Target Selection and Validation of DESI Luminous Red Galaxies
• HACC: Simulating Sky Surveys on State-of-the-Art Supercomputing Architectures
• The MICE Grand Challenge Lightcone Simulation I: Dark matter clustering
• Convolution Lagrangian perturbation theory for biased tracers
• FastPM: a new scheme for fast simulations of dark matter and halos
• Target Selection and Validation of DESI Quasars
• Cosmological $N$-body simulations with suppressed variance
• The Clustering of DESI-like Luminous Red Galaxies Using Photometric Redshifts
• Halo Stochasticity from Exclusion and non-linear Clustering
• Target Selection and Validation of DESI Emission Line Galaxies
• Blinded challenge for precision cosmology with large-scale structure: results from effective field theory for the redshift-space galaxy power spectrum
• Minimizing the stochasticity of halos in large-scale structure surveys
• Matter power spectrum and the challenge of percent accuracy
• Reconstructing Baryon Oscillations: A Lagrangian Theory Perspective
• Nonlinear Cosmological Power Spectra in Real and Redshift--Space
• On measuring the covariance matrix of the nonlinear power spectrum from simulations
• The Aemulus Project I: Numerical Simulations for Precision Cosmology
• Redshift-Space Distortions in Lagrangian Perturbation Theory
• Consistent Modeling of Velocity Statistics and Redshift-Space Distortions in One-Loop Perturbation Theory
• The $\text{Abacus}$ Cosmological $N$-body Code
• The Zeldovich approximation
• Galaxy Power Spectrum Multipoles Covariance in Perturbation Theory
• The Gaussian streaming model and Lagrangian effective field theory
• Accurate initial conditions for cosmological N-body simulations: Minimizing truncation and discreteness errors
• 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
• Unified galaxy power spectrum measurements from 6dFGS, BOSS, and eBOSS
• Simulations and symmetries
• Lagrangian perturbation theory at one loop order: successes, failures, and improvements
• Exploring redshift-space distortions in large-scale structure
• Statistical properties of paired fixed fields
• Inverted initial conditions: exploring the growth of cosmic structure and voids
• CARPool: fast, accurate computation of large-scale structure statistics by pairing costly and cheap cosmological simulations
• The clustering of typical Ly$\alpha$ emitters from $z\sim 2.5-6$: host halo masses depend on Ly$\alpha$ and UV luminosities
• The Reconstructed Power Spectrum in the Zeldovich Approximation
• Priors on red galaxy stochasticity from hybrid effective field theory
• Higher-order initial conditions with massive neutrinos
• The DESI $N$-body Simulation Project I: Testing the Robustness of Simulations for the DESI Dark Time Survey
• Accurate predictions from small boxes: variance suppression via the Zel'dovich approximation
• CARPool Covariance: Fast, unbiased covariance estimation for large-scale structure observables
• Testing General Relativity on cosmological scales at redshift z ~ 1.5 with quasar and CMB lensing
• The DESI $N$-body Simulation Project -- II. Suppressing sample variance with fast simulations
• Suppressing cosmic variance with paired-and-fixed cosmological simulations: average properties and covariances of dark matter clustering statistics
• Unequal time correlators and the Zeldovich approximation
• Statistics of biased tracers in variance-suppressed simulations
• Good and Proper: Self-similarity of N-body Simulations with Proper Force Softening
• Bayesian Control Variates for optimal covariance estimation with pairs of simulations and surrogates
• Validating galaxy clustering models with Fixed & Paired and Matched-ICs simulations: application to Primordial Non-Gaussianities

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• HOD-Dependent Systematics in Emission Line Galaxies for the DESI 2024 BAO analysis
• Mitigating the noise of DESI mocks using analytic control variates
• HOD-Dependent Systematics for Luminous Red Galaxies in the DESI 2024 BAO Analysis
• CSST Cosmological Emulator III: Hybrid Lagrangian Bias Expansion Emulation of Galaxy Clustering
• Variance Reduction via Simultaneous Importance Sampling and Control Variates Techniques Using Vegas
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