The Complementarity of Redshift-space Distortions and the Integrated Sachs-Wolfe Effect

Details The Complementarity of Redshift-space Distortions and the Integrated Sachs-Wolfe Effect The Complementarity of Redshift-space Distortions and the Integrated Sachs-Wolfe Effect

2011-09-09

arxiv.org/abs/1109.1981v1

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

11 pages, 7 figures, submitted to MNRAS

Scientific paper

Assuming General Relativity is correct on large-scales, Redshift-Space Distortions (RSDs) and the Integrated Sachs-Wolfe effect (ISW) are both sensitive to the time derivative of the linear growth function. We investigate the extent to which these probes provide complementary or redundant information when they are combined to constrain the evolution of the linear velocity power spectrum, often quantified by the function f(z)\sigma_8(z), where f is the logarithmic derivative of \sigma_8 with respect to (1+z). Using a 3D spherical harmonic expansion, we compute the covariance matrices of the signals for a large galaxy redshift survey combined with a CMB survey like Planck. The spherical harmonic basis allows accurate ISW estimates by avoiding the plane-parallel approximation, and it retains RSD information that is otherwise lost when projecting angular clustering onto redshift shells. We find that the correlation between the ISW and RSD signals are low since the probes are sensitive to different modes. For our default surveys, on large scales (k<0.05 Mpc/h), the ISW can improve constraints on f\sigma_8 by more than 10% compared to using RSDs alone. In the future, when precision RSD measurements are available on smaller scales, the cosmological constraints from ISW measurements will not be competitive; however, they will remain a useful consistency test for possible systematic contamination and alternative models of gravity.

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