Projected two- and three-point statistics: Forecasts and mitigation of non-linear RSDs
arXiv:2008.10199 · doi:10.1093/mnras/stab616
Abstract
The combination of two- and three-point clustering statistics of galaxies and the underlying matter distribution has the potential to break degeneracies between cosmological parameters and nuisance parameters and can lead to significantly tighter constraints on parameters describing the composition of the Universe and the dynamics of inflation. Here we investigate the relation between biases in the estimated parameters and inaccurate modelling of non-linear redshift-space distortions for the power spectrum and bispectrum of projected galaxy density fields and lensing convergence. Non-linear redshift-space distortions are one of the leading systematic uncertainties in galaxy clustering. Projections along the line of sight suppress radial modes and are thus allowing a trade-off between biases due to non-linear redshift-space distortions and statistical uncertainties. We investigate this bias-error trade-off for a CMASS-like survey with a varying number of redshift bins. Improved modelling of the non-linear redshift-space distortions allows the recovery of more radial information when controlling for biases. Not modelling non-linear redshift space distortions inflates error bars for almost all parameters by 20%. The information loss for the amplitude of local non-Gaussianities is smaller, since it is best constrained from large scales. In addition, we show empirically that one can recover more than 99% of the 3D power spectrum information if the depth of the tomographic bins is reduced to 10 Mpc.
arXiv comment20 pages, 15 figures, 6 tables
References in corpus (76)
- Efficient Computation of CMB anisotropies in closed FRW models
- The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
- Stable clustering, the halo model and nonlinear cosmological power spectra
- A 2.4% Determination of the Local Value of the Hubble Constant
- Large-Scale Structure of the Universe and Cosmological Perturbation Theory
- The Simons Observatory: Science goals and forecasts
- The DESI Experiment Part I: Science,Targeting, and Survey Design
- Cosmology and Fundamental Physics with the Euclid Satellite
- Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?
- LSST Science Book, Version 2.0
- The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
- Large-Scale Galaxy Bias
- Reconstructing the linear power spectrum of cosmological mass fluctuations
- How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering
- Single field consistency relation for the 3-point function
- The linear power spectrum of observed source number counts
- Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
- CMB-S4 Science Case, Reference Design, and Project Plan
- Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
- Non-Gaussianities in Single Field Inflation and their Optimal Limits from the WMAP 5-year Data
- Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
- Measuring the cosmological constant with redshift surveys
- Gravity and Large-Scale Non-local Bias
- The Bispectrum as a Signature of Gravitational Instability in Redshift-Space
- Cosmology and the Bispectrum
- Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
- Cosmology with the SPHEREX All-Sky Spectral Survey
- The Bispectrum: From Theory to Observations
- Planck 2018 results. IX. Constraints on primordial non-Gaussianity
- Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
- Structure formation from non-Gaussian initial conditions: multivariate biasing, statistics, and comparison with N-body simulations
- Constraining Primordial non-Gaussianity with Bispectrum and Power Spectum from Upcoming Optical and Radio Surveys
- Detection of Baryon Acoustic Oscillation Features in the Large-Scale 3-Point Correlation Function of SDSS BOSS DR12 CMASS Galaxies
- The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmological implications of the Fourier space wedges of the final sample
- Detectability of the effect of Inflationary non-Gaussianity on halo bias
- Parameter constraints from cross-correlation of CMB lensing with galaxy clustering
- Cosmological information in the redshift-space bispectrum
- Primordial non-Gaussianity in the Bispectrum of the Halo Density Field
- Halo Clustering with Non-Local Non-Gaussianity
- Cosmological Perturbation Theory Using the FFTLog: Formalism and Connection to QFT Loop Integrals
- Galaxy Bias and Primordial Non-Gaussianity
- Computing the Three-Point Correlation Function of Galaxies in Time
- Assessment of the Information Content of the Power Spectrum and Bispectrum
- Peak-Background Split, Renormalization, and Galaxy Clustering
- Beyond Limber: Efficient computation of angular power spectra for galaxy clustering and weak lensing
- Improving measurements of H(z) and Da(z) by analyzing clustering anisotropies
- Cubic Halo Bias in Eulerian and Lagrangian Space
- Non-Gaussian Halo Bias Re-examined: Mass-dependent Amplitude from the Peak-Background Split and Thresholding
- Galaxy bispectrum, primordial non-Gaussianity and redshift space distortions
- Beyond LIMD bias: a measurement of the complete set of third-order halo bias parameters
- Near optimal bispectrum estimators for large-scale structure
- Towards a self-consistent halo model for the nonlinear large-scale structure
- The full-sky relativistic correlation function and power spectrum of galaxy number counts: I. Theoretical aspects
- Accelerating the 2-point and 3-point galaxy correlation functions using Fourier transforms
- Rapid Separable Analysis of Higher Order Correlators in Large Scale Structure
- Modeling the large-scale redshift-space 3-point correlation function of galaxies
- Efficient Evaluation of Cosmological Angular Statistics
- Maximal compression of the redshift space galaxy power spectrum and bispectrum
- Dark matter and halo bispectrum in redshift space: theory and applications
- The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Measuring H(z) and D_A(z) at z = 0.57 with Clustering Wedges
- Capturing Non-Gaussianity of the Large-Scale Structure with Weighted Skew-Spectra
- Towards optimal cosmological parameter recovery from compressed bispectrum statistics
- Cosmology with anisotropic galaxy clustering from the combination of power spectrum and bispectrum
- COFFE: a code for the full-sky relativistic galaxy correlation function
- 2-FAST: Fast and accurate computation of projected two-point functions
- Beyond the traditional Line-of-Sight approach of cosmological angular statistics
- Angpow: a software for the fast computation of accurate tomographic power spectra
- Bispectrum covariance in the flat-sky limit
- LSS constraints with controlled theoretical uncertainties
- Non-local bias in the halo bispectrum with primordial non-Gaussianity
- Projected bispectrum in spherical harmonics and its application to angular galaxy catalogues
- Precision cosmology in muddy waters: Cosmological constraints and N-body codes
- Cosmology with Phase Statistics: Parameter Forecasts and Detectability of BAO
- Projection and Galaxy Clustering Fourier Spectra
- A direct method to compute the galaxy count angular correlation function including redshift-space distortions
- Rotation method for accelerating multiple-spherical Bessel function integrals against a numerical source function