Five-percent measurements of the growth rate from simulation-based modelling of redshift-space clustering in BOSS LOWZ

Abstract

We use a simulation-based modelling approach to analyse the anisotropic clustering of the BOSS LOWZ sample over the radial range $0.4h^{-1}\mathrm{Mpc}$ to $63h^{-1}\mathrm{Mpc}$, significantly extending what is possible with a purely analytic modelling framework. Our full-scale analysis yields constraints on the growth of structure that are a factor of two more stringent than any other study on large scales at similar redshifts. We infer $f{\sigma }_8=0.471\pm 0.024$ at $z\approx 0.25$, and $f{\sigma }_8=0.431\pm 0.025$ at $z\approx 0.40$; the corresponding $\Lambda$CDM predictions of the Planck CMB analysis are $0.470\pm 0.006$ and $0.476\pm 0.005$, respectively. Our results are thus consistent with Planck, but also follow the trend seen in previous low-redshift measurements of $f{\sigma }_8$ falling slightly below the $\Lambda$CDM+CMB prediction. We find that small and large radial scales yield mutually consistent values of $f{\sigma }_8$, but there are $1-2.5\sigma$ hints of small scales ($<10h^{-1}\mathrm{Mpc}$) preferring lower values for $f{\sigma }_8$ relative to larger scales. We analyse the constraining power of the full range of radial scales, finding that most of the multipole information about $f{\sigma }_8$ is contained in the scales $2h^{-1}\mathrm{Mpc}\lesssim s\lesssim 20h^{-1}\mathrm{Mpc}$. Evidently, once the cosmological information of the quasi-to-nonlinear regime has been harvested, large-scale modes contain only modest additional information about structure growth. Finally, we compare predictions for the galaxy-galaxy lensing amplitude of the two samples against measurements from SDSS and assess the lensing-is-low effect in light of our findings.

arXiv comment28 pages, 17 figures, submitted to MNRAS, comments welcome

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