Joint growth rate measurements from redshift-space distortions and peculiar velocities in the 6dF Galaxy Survey

Abstract

We present a new model for the cross-covariance between galaxy redshift-space distortions and peculiar velocities. We combine this with the auto-covariance models of both probes in a fully self-consistent, maximum-likelihood method, allowing us to extract enhanced cosmological parameter constraints. When applying our method to the 6-degree Field Galaxy Survey (6dFGS), our constraint on the growth rate of structure is $f{\sigma }_8=0.384\pm 0.052(\mathrm{stat})\pm 0.061(\mathrm{sys})$ and our constraint for the redshift-space distortion parameter is $\beta =0.289_{-0.043}^{+0.044}(\mathrm{stat})\pm 0.049(\mathrm{sys})$. We find that the statistical uncertainty for the growth rate of structure is reduced by 64% when using the complete covariance model compared to the redshift-space distortion auto-covariance model and 50% when compared to using the peculiar velocity auto-covariance model. Our constraints are consistent with those from the literature on combining multiple tracers of large-scale structure, as well as those from other 6dFGS analyses. Our measurement is also consistent with the standard cosmological model.

arXiv comment21 pages, 12 figures, 5 tables

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