Cosmological Analysis of Three-Dimensional BOSS Galaxy Clustering and Planck CMB Lensing Cross Correlations via Lagrangian Perturbation Theory

Abstract

We present a formalism for jointly fitting pre-and post-reconstruction redshift-space clustering (RSD) and baryon acoustic oscillations (BAO) plus gravitational lensing (of the CMB) that works directly with the observed 2-point statistics. The formalism is based upon (effective) Lagrangian perturbation theory and a Lagrangian bias expansion, which models RSD, BAO and galaxy-lensing cross correlations within a consistent dynamical framework. As an example we present an analysis of clustering measured by the Baryon Oscillation Spectroscopic Survey in combination with CMB lensing measured by Planck. The post-reconstruction BAO strongly constrains the distance-redshift relation, the full-shape redshift-space clustering constrains the matter density and growth rate, and CMB lensing constrains the clustering amplitude. Using only the redshift space data we obtain Ω m = 0.303 ± 0.008, H 0 = 69.21 ± 0.78 and σ 8 = 0.743 ± 0.043. The addition of lensing information, even when restricted to the Northern Galactic Cap, improves constraints to Ω m = 0.300±0.008, H 0 = 69.21±0.77 and σ 8 = 0.707±0.035, in tension with CMB and cosmic shear constraints. The combination of Ω m and H 0 are consistent with Planck, though their constraints derive mostly from redshift-space clustering. The low σ 8 value are driven by cross correlations with CMB lensing in the low redshift bin (z 0.38) and at large angular scales, which show a 20% deficit compared to expectations from galaxy clustering alone. We conduct several systematics tests on the data and find none that could fully explain these tensions.

Going Beyond the Galaxy Power Spectrum: an Analysis of BOSS Data with Wavelet Scattering Transforms

“…Imposing a Planck prior on n s somewhat raises the recovered mean value of σ 8 [20,109], but is not large enough to completely alleviate the tension. Furthermore, crosscorrelating BOSS clustering data with CMB lensing measured by Planck has been recently found to further lower the inferred value of σ 8 [124]. Even though the true origin of this discrepancy is not yet clear, and despite the approximations of our adopted theory model, it is encouraging to find the WST result broadly agreeing with this trend observed in the literature.…”

Cosmology before noon with multiple galaxy populations

“…It has been applied to earlier surveys in refs. [45][46][47] and is currently being evaluated for use in the DESI and Euclid surveys [48]. For further details of the model see [44,49,50].…”