Cosmological Parameter Estimation with Large Scale Structure Observations

Abstract

We estimate the sensitivity of future galaxy surveys to cosmological parameters, using the redshift dependent angular power spectra of galaxy number counts, $C_{\ell }(z_1,z_2)$, calculated with all relativistic corrections at first order in perturbation theory. We pay special attention to the redshift dependence of the non-linearity scale and present Fisher matrix forecasts for Euclid-like and DES-like galaxy surveys. We compare the standard $P(k)$ analysis with the new $C_{\ell }(z_1,z_2)$ method. We show that for surveys with photometric redshifts the new analysis performs significantly better than the $P(k)$ analysis. For spectroscopic redshifts, however, the large number of redshift bins which would be needed to fully profit from the redshift information, is severely limited by shot noise. We also identify surveys which can measure the lensing contribution and we study the monopole, $C_0(z_1,z_2)$.

26 pages, 11 figures; few typos in published version corrected

References in corpus (14)

• New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
• Dark Energy and Dark Gravity
• Astrophysical and Cosmological Information from Large-scale sub-mm Surveys of Extragalactic Sources
• The 2dF-SDSS LRG and QSO Survey: The LRG 2-Point Correlation Function and Redshift-Space Distortions
• The CLASSgal code for Relativistic Cosmological Large Scale Structure
• The WiggleZ Dark Energy Survey: measuring the cosmic growth rate with the two-point galaxy correlation function
• Cosmological constraints on Lorentz violating dark energy
• Principal Component Analysis of Modified Gravity using Weak Lensing and Peculiar Velocity Measurements
• A new method for the Alcock-Paczynski test
• Dark Energy from Brane-world Gravity
• Anisotropic stress and stability in modified gravity models
• Cosmic Clocks
• Redshift-space distortions from the cross-correlation of photometric populations
• A deep survey of the low-surface-brightness radio sky

Cited by in corpus (57)

• Cosmology and Fundamental Physics with the Euclid Satellite
• Asymmetric galaxy correlation functions
• Galaxy number counts to second order and their bispectrum
• Physical effects involved in the measurements of neutrino masses with future cosmological data
• Determining the progenitors of merging black-hole binaries
• Measurement of the dipole in the cross-correlation function of galaxies
• Cosmological Measurements with General Relativistic Galaxy Correlations
• Measuring the lensing potential with tomographic galaxy number counts
• The full-sky relativistic correlation function and power spectrum of galaxy number counts: I. Theoretical aspects
• The bispectrum of relativistic galaxy number counts
• The observed galaxy power spectrum in General Relativity
• Relativistic Effect in Galaxy Clustering
• The BINGO Project I: Baryon Acoustic Oscillations from Integrated Neutral Gas Observations
• Curvature constraints from Large Scale Structure
• Observed galaxy number counts on the lightcone up to second order: II. Derivation
• On the importance of lensing for galaxy clustering in photometric and spectroscopic surveys
• Gravity at the horizon: on relativistic effects, CMB-LSS correlations and ultra-large scales in Horndeski's theory
• Non-Gaussianities due to Relativistic Corrections to the Observed Galaxy Bispectrum
• Exploring galaxies-gravitational waves cross-correlations as an astrophysical probe
• Relativistic wide-angle galaxy bispectrum on the light-cone
• Cross-correlating galaxy catalogs and gravitational waves: a tomographic approach
• The Full-Sky Angular Bispectrum in Redshift Space
• COFFE: a code for the full-sky relativistic galaxy correlation function
• Beyond the traditional Line-of-Sight approach of cosmological angular statistics
• Angpow: a software for the fast computation of accurate tomographic power spectra
• 3-dimensional spherical analyses of cosmological spectroscopic surveys
• Signatures of primordial black holes in gravitational wave clustering
• Intensity Mapping in the Presence of Foregrounds and Correlated Continuum Emission
• Relativistic effects in Lyman-alpha forest
• 3D galaxy clustering with future wide-field surveys: Advantages of a spherical Fourier-Bessel analysis
• Higher order relativistic galaxy number counts: dominating terms
• Lensing convergence in galaxy clustering in LambdaCDM and beyond
• Constraints on the growth rate using the observed galaxy power spectrum
• Cosmological Number Counts in Einstein and Jordan frames
• Towards detection of relativistic effects in galaxy number counts using kSZ Tomography
• Full-sky bispectrum in redshift space for 21cm intensity maps
• Constraining the growth rate by combining multiple future surveys
• Neutrino masses from large-scale structures: future sensitivity and theory dependence
• General Relativistic corrections in density-shear correlations
• Generalisation of the Kaiser Rocket effect in general relativity in the wide-angle galaxy 2-point correlation function
• Clustering tomography: measuring cosmological distances through angular clustering in thin redshift shells
• Forecasts of cosmological constraints from HI intensity mapping with FAST, BINGO & SKA-I
• Lensing smoothing of BAO wiggles
• Non-Gaussian Shape Discrimination with Spectroscopic Galaxy Surveys
• Analytical growth functions for cosmic structures in a $\Lambda$CDM Universe
• High resolution tomography for galaxy spectroscopic surveys with angular redshift fluctuations
• The Alcock Paczynski test with Baryon Acoustic Oscillations: systematic effects for future surveys
• A blind method to recover the mask of a deep galaxy survey
• The halo bias for number counts on the light cone from relativistic N-body simulations
• A direct method to compute the galaxy count angular correlation function including redshift-space distortions
• BullFrog: Multi-step perturbation theory as a time integrator for cosmological simulations
• The density distributions of cosmic structures: impact of the local environment on weak-lensing convergence
• Small scale effects in the observable power spectrum at large angular scales
• Euclid: Relativistic effects in the dipole of the 2-point correlation function
• Speeding up the detectability of the harmonic-space galaxy bispectrum
• Synergy between CSST and third-generation gravitational-wave detectors: Inferring cosmological parameters using cross-correlation of dark sirens and galaxies
• Lensing contribution to the 21cm intensity bispectrum