Euclid preparation. XLI. Galaxy power spectrum modelling in real space

Abstract

We investigate the accuracy of the perturbative galaxy bias expansion in view of the forthcoming analysis of the Euclid spectroscopic galaxy samples. We compare the performance of an Eulerian galaxy bias expansion, using state-of-art prescriptions from the effective field theory of large-scale structure (EFTofLSS), against a hybrid approach based on Lagrangian perturbation theory and high-resolution simulations. These models are benchmarked against comoving snapshots of the Flagship I N-body simulation at $z=(0.9,1.2,1.5,1.8)$, which have been populated with H$\alpha$ galaxies leading to catalogues of millions of objects within a volume of about $58h^{-3}{\mathrm{Gpc}}^3$. Our analysis suggests that both models can be used to provide a robust inference of the parameters $(h,{\omega }_{\mathrm{c}})$ in the redshift range under consideration, with comparable constraining power. We additionally determine the range of validity of the EFTofLSS model in terms of scale cuts and model degrees of freedom. From these tests, it emerges that the standard third-order Eulerian bias expansion can accurately describe the full shape of the real-space galaxy power spectrum up to the maximum wavenumber $k_{\max }=0.45h{\mathrm{Mpc}}^{-1}$, even with a measurement precision well below the percent level. In particular, this is true for a configuration with six free nuisance parameters, including local and non-local bias parameters, a matter counterterm, and a correction to the shot-noise contribution. Fixing either tidal bias parameters to physically-motivated relations still leads to unbiased cosmological constraints. We finally repeat our analysis assuming a volume that matches the expected footprint of Euclid, but without considering observational effects, as purity and completeness, showing that we can get consistent cosmological constraints over this range of scales and redshifts.

40 pages, 20 figures

References in corpus (178)

• emcee: The MCMC Hammer
• The Sloan Digital Sky Survey: Technical Summary
• The Structure of Cold Dark Matter Halos
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
• Large scale bias and the peak background split
• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• Baryonic Features in the Matter Transfer Function
• SDSS-III: Massive Spectroscopic Surveys of the Distant Universe, the Milky Way Galaxy, and Extra-Solar Planetary Systems
• The Baryon Oscillation Spectroscopic Survey of SDSS-III
• Halo Models of Large Scale Structure
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Spectroscopic Target Selection in the Sloan Digital Sky Survey: The Main Galaxy Sample
• X-ray spectral modelling of the AGN obscuring region in the CDFS: Bayesian model selection and catalogue
• 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
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Galaxy and Mass Assembly (GAMA): survey diagnostics and core data release
• The 6dF Galaxy Survey: Final Redshift Release (DR3) and Southern Large-Scale Structures
• A Comprehensive Analysis of Uncertainties Affecting the Stellar Mass - Halo Mass Relation for 0<z<4
• Importance Nested Sampling and the MultiNest Algorithm
• Cuba - a library for multidimensional numerical integration
• The SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Overview and Early Data
• Large-Scale Galaxy Bias
• Galaxy Clustering in the Completed SDSS Redshift Survey: The Dependence on Color and Luminosity
• A measurement of the cosmological mass density from clustering in the 2dF Galaxy Redshift Survey
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering
• Cosmological Non-Linearities as an Effective Fluid
• The Effective Field Theory of Cosmological Large Scale Structures
• Redshift-Space Distortions, Pairwise Velocities and Nonlinearities
• The WiggleZ Dark Energy Survey: Survey Design and First Data Release
• The 6dF Galaxy Survey: z \approx 0 measurement of the growth rate and sigma_8
• The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Evolution of Baryon Acoustic Oscillations
• The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• Biasing and Hierarchical Statistics in Large-scale Structure
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• Cosmological Parameters from the BOSS Galaxy Power Spectrum
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: measurements of the growth of structure and expansion rate at z=0.57 from anisotropic clustering
• Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
• Simulating cosmic structure formation with the GADGET-4 code
• The VIMOS VLT Deep Survey final data release: a spectroscopic sample of 35016 galaxies and AGN out to z~6.7 selected with 17.5<=i_{AB}<=24.7
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• Stochastic Nonlinear Galaxy Biasing
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). An unprecedented view of galaxies and large-scale structure at 0.5<z<1.2
• Solving Large Scale Structure in Ten Easy Steps with COLA
• Halo assembly bias and its effects on galaxy clustering
• The Quijote simulations
• Uncorrelated Modes of the Nonlinear Power Spectrum
• Gravity and Large-Scale Non-local Bias
• The Bispectrum as a Signature of Gravitational Instability in Redshift-Space
• Memory of Initial Conditions in Gravitational Clustering
• The Clustering of the SDSS Main Galaxy Sample II: Mock galaxy catalogues and a measurement of the growth of structure from Redshift Space Distortions at $z=0.15$
• The Uchuu Simulations: Data Release 1 and Dark Matter Halo Concentrations
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in Fourier-space
• Cosmology and the Bispectrum
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• Second Order Power Spectrum and Nonlinear Evolution at High Redshift
• The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at $z\sim 1.4$
• The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
• Power Spectrum Correlations Induced by Non-Linear Clustering
• The Coyote Universe Extended: Precision Emulation of the Matter Power Spectrum
• PINOCCHIO: pinpointing orbit-crossing collapsed hierarchical objects in a linear density field
• Accurate Estimators of Correlation Functions in Fourier Space
• AbacusSummit: A Massive Set of High-Accuracy, High-Resolution $N$-Body Simulations
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: a tomographic measurement of cosmic structure growth and expansion rate based on optimal redshift weights
• Equivalence Principle and the Baryon Acoustic Peak
• Non-linear perturbation theory extension of the Boltzmann code CLASS
• Bias in the Effective Field Theory of Large Scale Structures
• Dark Quest. I. Fast and Accurate Emulation of Halo Clustering Statistics and Its Application to Galaxy Clustering
• Generation of Vorticity and Velocity Dispersion by Orbit Crossing
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the configuration-space clustering wedges
• Renormalized Halo Bias
• The VIMOS Public Extragalactic Redshift Survey (VIPERS): The growth of structures at $0.5<z<1.2$ from redshift-space distortions in the clustering of the PDR-2 final sample
• The BACCO Simulation Project: Exploiting the full power of large-scale structure for cosmology
• Time-Sliced Perturbation Theory II: Baryon Acoustic Oscillations and Infrared Resummation
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• DEMNUni: The clustering of large-scale structures in the presence of massive neutrinos
• Euclid preparation: II. The EuclidEmulator -- A tool to compute the cosmology dependence of the nonlinear matter power spectrum
• Halo Stochasticity from Exclusion and non-linear Clustering
• The Effective Field Theory of Large Scale Structures at Two Loops
• A new analysis of galaxy 2-point functions in the BOSS survey, including full-shape information and post-reconstruction BAO
• Clustering of dark matter tracers: renormalizing the bias parameters
• Cosmology from large-scale structure: Constraining $\Lambda$CDM with BOSS
• Minimizing the stochasticity of halos in large-scale structure surveys
• The bias field of dark matter haloes
• 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
• Matter power spectrum and the challenge of percent accuracy
• On The Validity of the Streaming Model for the Redshift-Space Correlation Function in the Linear Regime
• On the Prediction of Velocity Fields from Redshift Space Galaxy Samples
• Non-linear structure formation and the acoustic scale
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: structure growth rate measurement from the anisotropic quasar power spectrum in the redshift range $0.8<z<2.2$
• Constraints on the Effects of Locally-biased Galaxy Formation
• Gaussian covariance matrices for anisotropic galaxy clustering measurements
• FAST-PT: a novel algorithm to calculate convolution integrals in cosmological perturbation theory
• Perturbation theory, effective field theory, and oscillations in the power spectrum
• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
• Cosmological parameters from large scale structure - geometric versus shape information
• The Aemulus Project I: Numerical Simulations for Precision Cosmology
• Biasing and the distribution of dark matter haloes
• The Effective Field Theory of Large Scale Structure at Two Loops: the apparent scale dependence of the speed of sound
• Figure of Merit for Dark Energy Constraints from Current Observational Data
• Constraints on Galaxy Bias, Matter Density, and Primordial Non--Gausianity from the PSCz Galaxy Redshift Survey
• MassiveNuS: Cosmological Massive Neutrino Simulations
• Modeling Biased Tracers at the Field Level
• Galaxy Power Spectrum Multipoles Covariance in Perturbation Theory
• Cosmological Perturbation Theory Using the FFTLog: Formalism and Connection to QFT Loop Integrals
• Modelling the number density of Halpha emitters for future spectroscopic near-IR space missions
• Cosmological constraints from BOSS with analytic covariance matrices
• Non-local Lagrangian bias
• ICE-COLA: Towards fast and accurate synthetic galaxy catalogues optimizing a quasi $N$-body method
• Baryon acoustic signature in the clustering of density maxima
• Peak-Background Split, Renormalization, and Galaxy Clustering
• AbacusHOD: A highly efficient extended multi-tracer HOD framework and its application to BOSS and eBOSS data
• Cubic Halo Bias in Eulerian and Lagrangian Space
• The cosmology dependence of galaxy clustering and lensing from a hybrid $N$-body-perturbation theory model
• Stochasticity of Bias and Nonlocality of Galaxy Formation: Linear Scales
• UNIT project: Universe $N$-body simulations for the Investigation of Theoretical models from galaxy surveys
• Cosmology with the EFTofLSS and BOSS: dark energy constraints and a note on priors
• Comparing approximate methods for mock catalogues and covariance matrices II: Power spectrum multipoles
• Simulations and symmetries
• Large scale bias and the inaccuracy of the peak-background split
• Non-Gaussian Covariance of the Matter Power Spectrum in the Effective Field Theory of Large Scale Structure
• Beyond LIMD bias: a measurement of the complete set of third-order halo bias parameters
• Bias Loop Corrections to the Galaxy Bispectrum
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: anisotropic clustering analysis in configuration-space
• Dark Energy Survey Year 3 results: Cosmological constraints from galaxy clustering and galaxy-galaxy lensing using the MagLim lens sample
• Primordial Non-Gaussianity from Biased Tracers: Likelihood Analysis of Real-Space Power Spectrum and Bispectrum
• The Local Bias Model in the Large Scale Halo Distribution
• Towards a self-consistent halo model for the nonlinear large-scale structure
• On the Statistics of Biased Tracers in the Effective Field Theory of Large Scale Structures
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• Emulators for the non-linear matter power spectrum beyond $\Lambda$CDM
• Toward a robust inference method for the galaxy bispectrum: likelihood function and model selection
• The WiggleZ Dark Energy Survey: measuring the cosmic growth rate with the two-point galaxy correlation function
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• Two Ways of Biasing Galaxy Formation
• Emulating galaxy clustering and galaxy-galaxy lensing into the deeply nonlinear regime: methodology, information, and forecasts
• Cosmological parameters from the likelihood analysis of the galaxy power spectrum and bispectrum in real space
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: a tomographic analysis of structure growth and expansion rate from anisotropic galaxy clustering
• Galaxy bias from forward models: linear and second-order bias of IllustrisTNG galaxies
• On the road to percent accuracy II: calibration of the non-linear matter power spectrum for arbitrary cosmologies
• Matter Power Spectrum Covariance Matrix from the DEUS-PUR ΛCDM simulations: Mass Resolution and non-Gaussian Errors
• The BACCO simulation project: biased tracers in real space
• CARPool: fast, accurate computation of large-scale structure statistics by pairing costly and cheap cosmological simulations
• How to add massive neutrinos to your $\Lambda$CDM simulation -- extending cosmology rescaling algorithms
• Biased Tracers in Redshift Space in the EFTofLSS with exact time dependence
• Stochastic Biasing and Galaxy-Mass Density Relation in the Weakly Non-linear Regime
• Testing one-loop galaxy bias: Power spectrum
• 3\%-accurate predictions for the clustering of dark matter, haloes and subhaloes, over a wide range of cosmologies and scales
• Modelling large-scale halo bias using the bispectrum
• Shot noise and biased tracers: a new look at the halo model
• Testing standard perturbation theory and the Eulerian local biasing scheme against N-body simulations
• Aemulus $\nu$: Precise Predictions for Matter and Biased Tracer Power Spectra in the Presence of Neutrinos
• The Bacco Simulation Project: Bacco Hybrid Lagrangian Bias Expansion Model in Redshift Space
• Halo stochasticity in global clustering analysis
• Assembly bias in the local PNG halo bias and its implication for $f_{\mathrm{NL}}$ constraints
• Beyond $\Lambda$CDM constraints from the full shape clustering measurements from BOSS and eBOSS
• The Halo Bispectrum Multipoles in Redshift Space
• Modified gravity and massive neutrinos: constraints from the full shape analysis of BOSS galaxies and forecasts for Stage IV surveys
• Peak exclusion, stochasticity and convergence of perturbative bias expansions in 1+1 gravity
• Non-Linear Matter Power Spectrum Covariance Matrix Errors and Cosmological Parameter Uncertainties
• Accurate predictions from small boxes: variance suppression via the Zel'dovich approximation
• Perturbation theory challenge for cosmological parameters estimation: Matter power spectrum in real space
• COMET: Clustering Observables Modelled by Emulated perturbation Theory
• A new method to measure galaxy bias
• HST Grism-derived Forecasts for Future Galaxy Redshift Surveys
• Impact of bias and redshift-space modelling for the halo power spectrum: Testing the effective field theory of large-scale structure
• Testing one-loop galaxy bias: cosmological constraints from the power spectrum
• Evolution mapping: a new approach to describe matter clustering in the non-linear regime
• Lagrangian bias in the local bias model
• Assessing non-linear models for galaxy clustering II: model validation and forecasts for Stage IV surveys

Cited by in corpus (14)

• A Parameter-Masked Mock Data Challenge for Beyond-Two-Point Galaxy Clustering Statistics
• Testing signatures of phantom crossing through full-shape galaxy clustering analysis
• Cosmological constraints from the cross-correlation of DESI Luminous Red Galaxies with CMB lensing from Planck PR4 and ACT DR6
• One-loop power spectrum corrections in interacting dark energy cosmologies
• Enhancing Cosmological Model Selection with Interpretable Machine Learning
• Euclid preparation. Simulating thousands of Euclid spectroscopic skies
• Extending evolution mapping to massive neutrinos with COMET
• Cosmological perturbation theory for large scale structure in phase space
• Parameterization of Stochasticity in Galaxy Clustering and Reconstruction of Tomographic Matter Clustering
• A semi-analytic estimate for the effective sound speed counterterm in the EFTofLSS
• Constraining the lensing dispersion from the angular clustering of binary black hole mergers
• Euclid preparation. Full-shape modelling of 2-point and 3-point correlation functions in real space
• Probing the large-scale structure with 21cm-galaxy cross-bispectrum: Estimates from simulations and forecasts for upcoming cosmological surveys
• Tracing Signatures of Modified Gravity in Redshift-Space Galaxy Bispectrum Multipoles: Prospects for Euclid