Broadband Alcock-Paczynski test exploiting redshift distortions

Abstract

Baryon acoustic oscillations (BAO), known as one of the largest cosmological objects, is now recognized as standard cosmological tool to measure geometric distances via the Alcock-Paczynski effect, by which the observed BAO exhibits characteristic anisotropies in addition to the redshift distortions. This implies that once we know the correct distances to the observed BAO, the tip points of baryon acoustic peaks in the anisotropic correlation function of galaxies, $\xi (\sigma ,\pi )$, can form a great circle (hereafter 2D BAO circle) in the $\sigma$ and $\pi$ plane, where $\sigma$ and $\pi$ are the separation of galaxy pair parallel and perpendicular to the line-of-sight, respectively. This 2D BAO circle remains unchanged under the variations of the unknown galaxy bias and/or coherent motion, while it varies transversely and radially with respect to the variations of $D_A$ and $H^{-1}$, respectively. Hereby the ratio between transverse distance $D_A$ and the radial distance $H^{-1}$ reproduces the intrinsic shape of 2D BAO circle, which is {\it a priori} given by the known broadband shape of spectra. All BAO peaks of $\xi (\sigma ,\pi )$ are precisely calculated with the improved theoretical model of redshift distortion. We test this broadband Alcock--Paczynski method using BOSS--like mock catalogues. The transverse and radial distances are probed in precision of several percentage fractional errors, and the coherent motion is observed to match with the fiducial values accurately.

10 pages, 10 figures

References in corpus (14)

• Cosmological Constraints from the SDSS Luminous Red Galaxies
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• Large-Scale Anisotropic Correlation Function of SDSS Luminous Red Galaxies
• RegPT: Direct and fast calculation of regularized cosmological power spectrum at two-loop order
• Multi-Point Propagators in Cosmological Gravitational Instability
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• Constraining Anisotropic Baryon Oscillations
• Distribution function approach to redshift space distortions. Part IV: perturbation theory applied to dark matter
• Precision modeling of redshift-space distortions from multi-point propagator expansion
• Forecasting the Cosmological Constraints with Anisotropic Baryon Acoustic Oscillations from Multipole Expansion
• Peculiar Velocity Decomposition, Redshift Space Distortion and Velocity Reconstruction in Redshift Surveys - I. The Methodology
• Coherent Combination of Baryon Acoustic Oscillation Statistics and Peculiar Velocity Measurements from Redshift Survey
• Chasing Unbiased Spectra of the Universe
• Direct Determination of Expansion History Using Redshift Distortions

Cited by in corpus (14)

• The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at $z\sim 1.4$
• Regularized cosmological power spectrum and correlation function in modified gravity models
• Galaxy power spectrum in redshift space: combining perturbation theory with the halo model
• Consistent Modified Gravity Analysis of Anisotropic Galaxy Clustering Using BOSS DR11
• Cosmology with anisotropic galaxy clustering from the combination of power spectrum and bispectrum
• Constructing perturbation theory kernels for large-scale structure in generalized cosmologies
• Study on the mapping of dark matter clustering from real space to redshift space
• Model-Independent Measurements of Cosmic Expansion and Growth at z=0.57 Using the Anisotropic Clustering of CMASS Galaxies From the Sloan Digital Sky Survey Data Release 9
• The redshift-space galaxy two-point correlation function and baryon acoustic oscillations
• Cosmological Tests using Redshift Space Clustering in BOSS DR11
• Study on the mapping of halo clustering from real space to redshift space
• Cosmological implications of different baryon acoustic oscillation data
• Measuring neutrino mass imprinted on the anisotropic galaxy clustering
• Mixing Bispectrum Multipoles Under Geometric Distortions