The redshift-space galaxy two-point correlation function and baryon acoustic oscillations

Abstract

Future galaxy surveys will measure baryon acoustic oscillations (BAOs) with high significance, and a complete understanding of the anisotropies of BAOs in redshift space will be important to exploit the cosmological information in BAOs. Here we describe the anisotropies that arise in the redshift-space galaxy two-point correlation function (2PCF) and elucidate the origin of features that arise in the dependence of the BAOs on the angle between the orientation of the galaxy pair and the line of sight. We do so with a derivation of the configuration-space 2PCF using streaming model. We find that, contrary to common belief, the locations of BAO peaks in the redshift-space 2PCF are anisotropic even in the linear theory. Anisotropies in BAO depend strongly on the method of extracting the peak, showing maximum 3 % angular variation. We also find that extracting the BAO peak of $r^2\xi (r,\mu )$ significantly reduces the anisotropy to sub-percent level angular variation. When subtracting the tilt due to the broadband behavior of the 2PCF, the BAO bump is enhanced along the line of sight because of local infall velocities toward the BAO bump. Precise measurement of the angular dependence of the redshift-space 2PCF will allow new geometrical tests of dark energy beyond the BAO.

11 pages, 7 figures

References in corpus (9)

• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
• Large-Scale Anisotropic Correlation Function of SDSS Luminous Red Galaxies
• Reconstructing Baryon Oscillations: A Lagrangian Theory Perspective
• Constraining Anisotropic Baryon Oscillations
• Galaxy surveys, inhomogeneous reionization, and dark energy
• Removing BAO-peak Shifts with Local Density Transforms

Cited by in corpus (3)

• Evidence for an environment-dependent shift in the baryon acoustic oscillation peak
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski test and volume effect: galaxy two-point correlation function
• The Information Content of Anisotropic Baryon Acoustic Oscillation Scale Measurements