Optimizing large-scale structure data analysis with the theoretical error likelihood

Abstract

An important aspect of large-scale structure data analysis is the presence of non-negligible theoretical uncertainties, which become increasingly important on small scales. We show how to incorporate these uncertainties in realistic power spectrum likelihoods by an appropriate change of the fitting model and the covariance matrix. The inclusion of the theoretical error has several advantages over the standard practice of using the sharp momentum cut $k_{\max }$. First, the theoretical error covariance gradually suppresses the information from the short scales as the employed theoretical model becomes less reliable. This allows one to avoid laborious measurements of $k_{\max }$, which is an essential part of the standard methods. Second, the theoretical error likelihood gives unbiased constrains with reliable error bars that are not artificially shrunk due to over-fitting. In realistic settings, the theoretical error likelihood yields essentially the same parameter constraints as the standard analysis with an appropriately selected $k_{\max }$, thereby effectively optimizing the choice of $k_{\max }$. We demonstrate these points using the large-volume N-body data for the clustering of matter and galaxies in real and redshift space. In passing, we validate the effective field theory description of the redshift space distortions and show that the use of the one-parameter phenomenological Gaussian damping model for fingers-of-God causes significant biases in parameter recovery.

arXiv comment41+11 pages, 17+4 figures, 5+5 tables; v2: Appendix C added, practical realization of our approach clarified, matched version accepted by Phys. Rev. D

References in corpus (64)

• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Cosmology and Fundamental Physics with the Euclid Satellite
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• Conservative Constraints on Early Cosmology: an illustration of the Monte Python cosmological parameter inference code
• Large-Scale Galaxy Bias
• Cosmological Non-Linearities as an Effective Fluid
• The Effective Field Theory of Cosmological Large Scale Structures
• Fingers of God
• The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• Cosmological Parameters from the BOSS Galaxy Power Spectrum
• Measuring cosmological parameters with galaxy surveys
• How to measure CMB power spectra without losing information
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: mock galaxy catalogues for the BOSS Final Data Release
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from the anisotropic power spectrum of the Quasar sample between redshift 0.8 and 2.2
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Including covariance matrix errors
• The IR-resummed Effective Field Theory of Large Scale Structures
• Constraining Early Dark Energy with Large-Scale Structure
• Parameter inference with estimated covariance matrices
• Power Spectrum Correlations Induced by Non-Linear Clustering
• Non-linear perturbation theory extension of the Boltzmann code CLASS
• Equivalence Principle and the Baryon Acoustic Peak
• Combining Full-Shape and BAO Analyses of Galaxy Power Spectra: A 1.6% CMB-independent constraint on H0
• A Measurement of the Quadrupole Power Spectrum in the Clustering of the 2dF QSO Survey
• Time-Sliced Perturbation Theory II: Baryon Acoustic Oscillations and Infrared Resummation
• Halo Stochasticity from Exclusion and non-linear Clustering
• Cosmology from large-scale structure: Constraining $\Lambda$CDM with BOSS
• Blinded challenge for precision cosmology with large-scale structure: results from effective field theory for the redshift-space galaxy power spectrum
• Efficient Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• Limits on $w$CDM from the EFTofLSS with the PyBird code
• Cosmological Parameters and Neutrino Masses from the Final Planck and Full-Shape BOSS Data
• Neutrino masses and cosmological parameters from a Euclid-like survey: Markov Chain Monte Carlo forecasts including theoretical errors
• Gaussian covariance matrices for anisotropic galaxy clustering measurements
• Infrared Resummation for Biased Tracers in Redshift Space
• Perturbation theory, effective field theory, and oscillations in the power spectrum
• Consistent Modeling of Velocity Statistics and Redshift-Space Distortions in One-Loop Perturbation Theory
• The Effective Field Theory of Large Scale Structure at Two Loops: the apparent scale dependence of the speed of sound
• Measuring neutrino masses with large-scale structure: Euclid forecast with controlled theoretical error
• Cosmological information in the redshift-space bispectrum
• Modeling Biased Tracers at the Field Level
• Time-Sliced Perturbation Theory for Large Scale Structure I: General Formalism
• Galaxy Power Spectrum Multipoles Covariance in Perturbation Theory
• Cosmological Perturbation Theory Using the FFTLog: Formalism and Connection to QFT Loop Integrals
• Cosmological perturbation theory at three-loop order
• Constraints on the curvature of the Universe and dynamical dark energy from the Full-shape and BAO data
• Cosmological constraints from BOSS with analytic covariance matrices
• Precision Comparison of the Power Spectrum in the EFTofLSS with Simulations
• On the EFT of Large Scale Structures in Redshift Space
• Cubic Halo Bias in Eulerian and Lagrangian Space
• The Effect of Fiber Collisions on the Galaxy Power Spectrum Multipole
• On the IR-Resummation in the EFTofLSS
• H0 tension or T0 tension?
• On the non-linear scale of cosmological perturbation theory
• The Completed SDSS-IV Extended Baryon Oscillation Spectroscopic Survey: N-body Mock Challenge for the Quasar Sample
• Time-sliced perturbation theory with primordial non-Gaussianity and effects of large bulk flows on inflationary oscillating features
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: N-body Mock Challenge for the eBOSS Emission Line Galaxy Sample
• The Completed SDSS-IV Extended Baryon Oscillation Spectroscopic Survey: N-body Mock Challenge for Galaxy Clustering Measurements
• Power spectrum multipoles on the curved sky: an application to the 6-degree Field Galaxy Survey
• Perturbation theory for modeling galaxy bias: validation with simulations of the Dark Energy Survey
• Precise Calibration of the One-Loop Bispectrum in the Effective Field Theory of Large Scale Structure
• Disconnected Covariance of 2-point Functions in Large-Scale Structure
• Modeling features in the redshift-space halo power spectrum with perturbation theory
• The Completed SDSS-IV Extended Baryon Oscillation Spectroscopic Survey: GLAM-QPM mock galaxy catalogs for the Emission Line Galaxy Sample

Cited by in corpus (28)

• Constraints on Multi-Field Inflation from the BOSS Galaxy Survey
• Precision analysis of the redshift-space galaxy bispectrum
• Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data
• Cosmological constraints from the power spectrum of eBOSS emission line galaxies
• Modeling Galaxies in Redshift Space at the Field Level
• Full-Shape Galaxy Power Spectra and the Curvature Tension
• Cosmological constraints without fingers of God
• The BACCO simulation project: biased tracers in real space
• Cosmological direct detection of dark energy: non-linear structure formation signatures of dark energy scattering with visible matter
• Exploring Early Dark Energy solution to the Hubble tension with Planck and SPTPol data
• Updating non-standard neutrinos properties with Planck-CMB data and full-shape analysis of BOSS and eBOSS galaxies
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Observational constraints on early dark energy
• Euclid preparation. Sensitivity to neutrino parameters
• Sigma-Eight at the Percent Level: The EFT Likelihood in Real Space
• A Parameter-Masked Mock Data Challenge for Beyond-Two-Point Galaxy Clustering Statistics
• Cosmology inference at the field level from biased tracers in redshift-space
• Observational Constraints on Dynamical Dark Energy Models
• Light Fields during Inflation from BOSS and Future Galaxy Surveys
• Modeling the Marked Spectrum of Matter and Biased Tracers in Real- and Redshift-Space
• Bounds on Velocity-Dependent Dark Matter-Baryon Scattering from Large-Scale Structure
• Mitigating baryonic effects with a theoretical error covariance
• The reach of next-to-leading-order perturbation theory for the matter bispectrum
• New tests of dark sector interactions from the full-shape galaxy power spectrum
• Mitigation of nonlinear galaxy bias with a theoretical-error likelihood
• Aletheia: Emulating the non-linear matter power spectrum in the context of evolution mapping
• On the range of validity of perturbative models for galaxy clustering and its uncertainty
• Cosmology with the Redshift-Space Galaxy Bispectrum Monopole at One-Loop Order