Power spectrum multipoles on the curved sky: an application to the 6-degree Field Galaxy Survey

Abstract

The peculiar velocities of galaxies cause their redshift-space clustering to depend on the angle to the line-of-sight, providing a key test of gravitational physics on cosmological scales. These effects may be described using a multipole expansion of the clustering measurements. Focussing on Fourier-space statistics, we present a new analysis of the effect of the survey window function, and the variation of the line-of-sight across a survey, on the modelling of power spectrum multipoles. We determine the joint covariance of the Fourier-space multipoles in a Gaussian approximation, and indicate how these techniques may be extended to studies of overlapping galaxy populations via multipole cross-power spectra. We apply our methodology to one of the widest-area galaxy redshift surveys currently available, the 6-degree Field Galaxy Survey, deducing a normalized growth rate f*sigma_8(z=0.06) = 0.38 +/- 0.12 in the low-redshift Universe, in agreement with previous analyses of this dataset using different techniques. Our framework should be useful for processing future wide-angle galaxy redshift surveys.

17 pages, 7 figures, version accepted by MNRAS

References in corpus (15)

• The DESI Experiment Part I: Science,Targeting, and Survey Design
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• 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 $z=0.15$
• The 6dF Galaxy Survey: Peculiar Velocity Field and Cosmography
• How to suppress the shot noise in galaxy surveys
• Modelling redshift space distortions in hierarchical cosmologies
• The 6dF Galaxy Velocity Survey: Cosmological constraints from the velocity power spectrum
• Low Redshift Baryon Acoustic Oscillation Measurement from the Reconstructed 6-degree Field Galaxy Survey
• Beyond the plane-parallel approximation for redshift surveys
• Perturbative approach to covariance matrix of the matter power spectrum
• Improving constraints on the growth rate of structure by modelling the density-velocity cross-correlation in the 6dF Galaxy Survey
• Shot noise and biased tracers: a new look at the halo model
• Reducing sample variance: halo biasing, non-linearity and stochasticity
• Galaxy 2-Point Covariance Matrix Estimation for Next Generation Surveys

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• The degeneracy between primordial non-Gaussianity and foregrounds in 21cm intensity mapping experiments
• Disconnected Covariance of 2-point Functions in Large-Scale Structure
• Power spectrum modelling of galaxy and radio intensity maps including observational effects
• Multipole expansion for HI intensity mapping experiments: simulations and modelling
• Detecting the power spectrum turnover with HI intensity mapping
• Large-scale density and velocity field reconstructions with neural networks
• Impact of intrinsic alignments on clustering constraints of the growth rate
• HI HOD -- I. The Halo Occupation Distribution of HI Galaxies
• Baryon acoustic oscillations from HI intensity mapping: the importance of cross-correlations in the monopole and quadrupole
• Primordial non-Gaussianity -- the effects of relativistic and wide-angle corrections to the power spectrum
• Window convolution of the galaxy clustering bispectrum
• The galaxy power spectrum on the lightcone: deep, wide-angle redshift surveys and the turnover scale
• Towards simulating a realistic data analysis with an optimised angular power spectrum of spectroscopic galaxy surveys