Assessing non-linear models for galaxy clustering II: model validation and forecasts for Stage IV surveys

Abstract

Accurate modelling of non-linear scales in galaxy clustering will be crucial for data analysis of Stage IV galaxy surveys. A selection of competing non-linear models must be made based on validation studies. We provide a comprehensive set of forecasts of two different models for the halo redshift space power spectrum, namely the commonly applied TNS model and an effective field theory of large scale structure (EFTofLSS) inspired model. Using simulation data and a least-${\chi }^2$ analysis, we determine ranges of validity for the models. We then conduct an exploratory Fisher analysis using the full anisotropic power spectrum to investigate parameter degeneracies. We proceed to perform an MCMC analysis utilising the monopole, quadrupole, and hexadecapole spectra, with a restricted range of scales for the latter in order to avoid biasing our growth rate, $f$, constraint. We find that the TNS model with a Lorentzian damping and standard Eulerian perturbative modelling outperforms other variants of the TNS model. Our MCMC analysis finds that the EFTofLSS-based model may provide tighter marginalised constraints on $f$ at $z=0.5$ and $z=1$ than the TNS model, despite having additional nuisance parameters. However this depends on the range of scales used as well as the fiducial values and priors on the EFT nuisance parameters. Finally, we extend previous work to provide a consistent comparison between the Fisher matrix and MCMC forecasts using the multipole expansion formalism, and find good agreement between them.

arXiv comment23 pages, 21 figures, MNRAS accepted version

References in corpus (64)

• The NumPy array: a structure for efficient numerical computation
• Planck 2015 results. XIII. Cosmological parameters
• Dynamics of dark energy
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Particle Dark Matter: Evidence, Candidates and Constraints
• Efficient Computation of CMB anisotropies in closed FRW models
• Modified Gravity and Cosmology
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• Power Spectrum Analysis of Three-Dimensional Redshift Surveys
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 9 Spectroscopic Galaxy Sample
• 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: the growth rate of cosmic structure since redshift z=0.9
• Measuring cosmological parameters with galaxy surveys
• 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
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• Solving Large Scale Structure in Ten Easy Steps with COLA
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Testing gravity with redshift-space distortions using the power spectrum multipoles
• Gravity and Large-Scale Non-local Bias
• A Lower Growth Rate from Recent Redshift Space Distortion Measurements than Expected from Planck
• Improved forecasts for the baryon acoustic oscillations and cosmological distance scale
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• A critical look at cosmological perturbation theory techniques
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• RegPT: Direct and fast calculation of regularized cosmological power spectrum at two-loop order
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: BAO measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies
• Perturbation theory, effective field theory, and oscillations in the power spectrum
• Modeling Nonlinear Evolution of Baryon Acoustic Oscillations: Convergence Regime of N-body Simulations and Analytic Models
• Cosmological information in the redshift-space bispectrum
• The 2-loop matter power spectrum and the IR-safe integrand
• Non-local Lagrangian bias
• Precision Comparison of the Power Spectrum in the EFTofLSS with Simulations
• COLA with scale-dependent growth: applications to screened modified gravity models
• On the EFT of Large Scale Structures in Redshift Space
• Cosmology in the era of Euclid and the Square Kilometre Array
• On the Validity of Cosmological Fisher Matrix Forecasts
• The distribution of pairwise peculiar velocities in the nonlinear regime
• A Perturbative Approach to the Redshift Space Power Spectrum: Beyond the Standard Model
• On the Statistics of Biased Tracers in the Effective Field Theory of Large Scale Structures
• Precision modeling of redshift-space distortions from multi-point propagator expansion
• Baryon Acoustic Oscillations in 2D II: Redshift-space halo clustering in N-body simulations
• Forecasting the Cosmological Constraints with Anisotropic Baryon Acoustic Oscillations from Multipole Expansion
• Efficient simulations of large scale structure in modified gravity cosmologies with comoving Lagrangian acceleration
• Galaxy and Mass Assembly (GAMA): Redshift Space Distortions from the Clipped Galaxy Field
• Very Massive Tracers and Higher Derivative Biases
• The EFT of Large Scale Structures at All Redshifts: Analytical Predictions for Lensing
• Towards Precision Constraints on Gravity with the Effective Field Theory of Large-Scale Structure
• The matter power spectrum in redshift space using effective field theory
• Probing deviations from General Relativity with the Euclid spectroscopic survey
• Consistent Modified Gravity Analysis of Anisotropic Galaxy Clustering Using BOSS DR11
• Theoretical Accuracy in Cosmological Growth Estimation
• Perturbation theory challenge for cosmological parameters estimation: Matter power spectrum in real space
• A Perturbative Approach to the Redshift Space Correlation Function: Beyond the Standard Model
• Study on the mapping of dark matter clustering from real space to redshift space
• On the Systematic Errors of Cosmological-Scale Gravity Tests using Redshift Space Distortion: Non-linear Effects and the Halo Bias
• Modelling Non-Linear Effects of Dark Energy
• Calibrating the BAO scale using the CMB: Lifting the degeneracy between geometric and dynamic distortions using the sound horizon from the CMB
• Assessing non-linear models for galaxy clustering III: Theoretical accuracy for Stage IV surveys
• Quantification of the multi-streaming effect in Redshift Space Distortion

Cited by in corpus (10)

• Cosmology with the EFTofLSS and BOSS: dark energy constraints and a note on priors
• Testing the theory of gravity with DESI: estimators, predictions and simulation requirements
• Non-linear contributions to angular power spectra
• A thorough investigation of the prospects of eLISA in addressing the Hubble tension: Fisher Forecast, MCMC and Machine Learning
• Euclid preparation. XLI. Galaxy power spectrum modelling in real space
• Euclid preparation. Modelling spectroscopic clustering on mildly nonlinear scales in beyond-$\Lambda$CDM models
• Assessing non-linear models for galaxy clustering III: Theoretical accuracy for Stage IV surveys
• New tests of dark sector interactions from the full-shape galaxy power spectrum
• Hybrid $P_{\ell }(k)$: general, unified, non-linear matter power spectrum in redshift space
• Interacting dark energy from redshift-space galaxy clustering