The Zeldovich approximation and wide-angle redshift-space distortions

Abstract

The contribution of line-of-sight peculiar velocities to the observed redshift of objects breaks the translational symmetry of the underlying theory, modifying the predicted 2-point functions. These `wide angle effects' have mostly been studied using linear perturbation theory in the context of the multipoles of the correlation function and power spectrum. In this work we present the first calculation of wide angle terms in the Zeldovich approximation, which is known to be more accurate than linear theory on scales probed by the next generation of galaxy surveys. We present the exact result for dark matter and perturbatively biased tracers as well as the small angle expansion of the configuration- and Fourier-space two-point functions and the connection to the multi-frequency angular power spectrum. We compare different definitions of the line-of-sight direction and discuss how to translate between them. We show that wide angle terms can reach tens of percent of the total signal in a measurement at low redshift in some approximations, and that a generic feature of wide angle effects is to slightly shift the Baryon Acoustic Oscillation scale.

13 pages, 7 figures, matches published version

References in corpus (14)

• Massive neutrinos and cosmology
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• Testing cosmological structure formation using redshift-space distortions
• Non-linear structure formation and the acoustic scale
• Reconstructing Baryon Oscillations: A Lagrangian Theory Perspective
• The multi-frequency angular power spectrum of the epoch of reionization 21 cm signal
• The Gaussian streaming model and Lagrangian effective field theory
• Beyond the plane-parallel approximation for redshift surveys
• Analytic model for the matter power spectrum, its covariance matrix, and baryonic effects
• Reconstruction within the Zeldovich approximation
• The Effect of Fiber Collisions on the Galaxy Power Spectrum Multipole
• Non-linear Redshift-Space Power Spectra
• Halo Zeldovich model and perturbation theory: dark matter power spectrum and correlation function

Cited by in corpus (29)

• Ingredients for 21cm intensity mapping
• Redshift-Space Distortions in Lagrangian Perturbation Theory
• Redshift-weighted constraints on primordial non-Gaussianity from the clustering of the eBOSS DR14 quasars in Fourier space
• Interpreting measurements of the anisotropic galaxy power spectrum
• Exploring redshift-space distortions in large-scale structure
• The observed galaxy power spectrum in General Relativity
• Modeling relativistic contributions to the halo power spectrum dipole
• The Reconstructed Power Spectrum in the Zeldovich Approximation
• Intensity mapping with neutral hydrogen and the Hidden Valley simulations
• Bispectrum-window convolution via Hankel transform
• The Impact of Wrong Assumptions in BAO Reconstruction
• Non-linear contributions to angular power spectra
• Wide-angle and relativistic effects in Fourier-space clustering statistics
• Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel'dovich approximation
• BOSS full-shape analysis from the EFTofLSS with exact time dependence
• Large Scale Limit of the Observed Galaxy Power Spectrum
• Wide angle effects for peculiar velocities
• Modelling the asymmetry of the halo cross-correlation function with relativistic effects at quasi-linear scales
• Nonlinear Redshift-Space Distortions in the Harmonic-space Galaxy Power Spectrum
• Unequal time correlators and the Zeldovich approximation
• Local Primordial Non-Gaussianities and Super-Sample Variance
• The Impact of Anisotropic Redshift Distributions on Angular Clustering
• Wide-angle effects in the galaxy bispectrum
• Minimum variance estimation of galaxy power spectrum in redshift space
• Flat-sky Angular Power Spectra Revisited
• Doppler bias: impact of peculiar velocities on color selection and the large scale structure of galaxy surveys
• Testing local position invariance with odd multipoles of galaxy clustering statistics
• Gravitational redshift from large-scale structure: nonlinearities, antisymmetries, and the dipole
• Large-scale Modeling of the Observed Power Spectrum Multipoles