Constraining the growth rate of structure with phase correlations

Abstract

We show that correlations between the phases of the galaxy density field in redshift space provide additional information about the growth rate of large-scale structure that is complementary to the power spectrum multipoles. In particular, we consider the multipoles of the line correlation function (LCF), which correlates phases between three collinear points, and use the Fisher forecasting method to show that the LCF multipoles can break the degeneracy between the measurement of the growth rate of structure $f$ and the amplitude of perturbations ${\sigma }_8$ that is present in the power spectrum multipoles at large scales. This leads to an improvement in the measurement of $f$ and ${\sigma }_8$ by up to 220 per cent for $k_{\max }=0.15h{\mathrm{Mpc}}^{-1}$ and up to 50 per cent for $k_{\max }=0.30h{\mathrm{Mpc}}^{-1}$ at redshift $z=0.25$, with respect to power spectrum measurements alone for the upcoming generation of galaxy surveys like DESI and Euclid. The average improvements in the constraints on $f$ and ${\sigma }_8$ for $k_{\max }=0.15h{\mathrm{Mpc}}^{-1}$ are $\sim 90$ per cent for the DESI BGS sample with mean redshift $\overline{z}=0.25$, $\sim 40$ per cent for the DESI ELG sample with $\overline{z}=1.25$, and $\sim 40$ per cent for the Euclid H$\alpha$ galaxies with $\overline{z}=1.3$. For $k_{\max }=0.30h{\mathrm{Mpc}}^{-1}$, the average improvements are $\sim 40$ per cent for the DESI BGS sample and $\sim 20$ per cent for both the DESI ELG and Euclid H$\alpha$ galaxies.

arXiv comment28 pages, 13 figures, 2 tables. v2 has additional discussion on model-independence of the forecasts. v3 matches the MNRAS accepted version

References in corpus (50)

• emcee: The MCMC Hammer
• 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
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Tensions between the Early and the Late Universe
• KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
• Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?
• Euclid Definition Study Report
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• Cosmic Growth History and Expansion History
• Cosmology from cosmic shear power spectra with Subaru Hyper Suprime-Cam first-year data
• COLOSSUS: A python toolkit for cosmology, large-scale structure, and dark matter halos
• Parameterized Beyond-Einstein Growth
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies
• KiDS+VIKING-450: Cosmic shear tomography with optical+infrared data
• Solving Large Scale Structure in Ten Easy Steps with COLA
• Cosmological constraints from cosmic shear two-point correlation functions with HSC survey first-year data
• 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 $z=0.15$
• Cosmology and the Bispectrum
• nbodykit: an open-source, massively parallel toolkit for large-scale structure
• 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
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the configuration-space clustering wedges
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• Euclid preparation: II. The EuclidEmulator -- A tool to compute the cosmology dependence of the nonlinear matter power spectrum
• Precision measurement of the local bias of dark matter halos
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmological implications of the Fourier space wedges of the final sample
• Cosmological information in the redshift-space bispectrum
• The large-scale 3-point correlation function of the SDSS BOSS DR12 CMASS galaxies
• A complete FFT-based decomposition formalism for the redshift-space bispectrum
• Distribution function approach to redshift space distortions. Part IV: perturbation theory applied to dark matter
• Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space
• Galaxy redshift-space bispectrum: the Importance of Being Anisotropic
• Information Content of the Angular Multipoles of Redshift-Space Galaxy Bispectrum
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: constraining modified gravity
• 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
• Maximal compression of the redshift space galaxy power spectrum and bispectrum
• Distribution function approach to redshift space distortions. Part V: perturbation theory applied to dark matter halos
• Dark matter and halo bispectrum in redshift space: theory and applications
• Precision cosmology with redshift-space bispectrum: a perturbation theory based model at one-loop order
• Towards optimal cosmological parameter recovery from compressed bispectrum statistics
• The Redshift-Space Momentum Power Spectrum I: Optimal Estimation From Peculiar Velocity Surveys
• A Robust Measure of Cosmic Structure beyond the Power-Spectrum: Cosmic Filaments and the Temperature of Dark Matter
• An improved model for the nonlinear velocity power spectrum
• Phase Correlations in Non-Gaussian Fields
• Linear and non-linear bias: predictions vs. measurements
• Three-point phase correlations: A new measure of non-linear large-scale structure
• The Anisotropic Line Correlation Function as a Probe of Anisotropies in Galaxy Surveys
• Cosmology with Phase Statistics: Parameter Forecasts and Detectability of BAO
• Probing redshift-space distortions with phase correlations
• Cosmological Constraints from Fourier Phase Statistics

Cited by in corpus (7)

• Line-Intensity Mapping: Theory Review
• Robustness of baryon acoustic oscillation constraints for early-Universe modifications to $\Lambda$CDM
• Modal compression of the redshift-space galaxy bispectrum
• Towards cosmological constraints from the compressed modal bispectrum: a robust comparison of real-space bispectrum estimators
• Optimal machine-driven acquisition of future cosmological data
• Numerical investigation of non-Gaussianities in the phase and modulus of density Fourier modes
• A New Estimator for Phase Statistics