Low-redshift constraints on structure growth from CMB lensing tomography

Abstract

We present constraints on the amplitude of matter fluctuations from the clustering of galaxies and their cross-correlation with the gravitational lensing convergence of the cosmic microwave background (CMB), focusing on low redshifts ($z\lesssim 0.3$), where potential deviations from a perfect cosmological constant dominating the growth of structure could be more prominent. Specifically, we make use of data from the 2MASS photometric survey (\tmpz) and the \wisc galaxy survey, in combination with CMB lensing data from \planck. Using a hybrid effective field theory (HEFT) approach to model galaxy bias we obtain constraints on the combination $S_8=\ddot{I}{ƒ}_8\sqrt{\hat{I}{\text{c◯}}_m/0.3}$, where $\ddot{I}{ƒ}_8$ is the amplitude of matter fluctuations, and $\hat{I}{\text{c◯}}_m$ is the non-relativistic matter fraction. Using a prior on $\hat{I}{\text{c◯}}_m$ based on the baryon acoustic oscillation measurements of DESI, we find $S_8=0.79\pm 0.06$, in reasonable agreement with CMB constraints. We also find that, in the absence of this prior, the data favours a value of $\hat{I}{\text{c◯}}_m=0.245\pm 0.024$, that is 2.8$\ddot{I}ƒ$ lower than \planck. This result is driven by the broadband shape of the galaxy auto-correlation, and may be affected by theoretical uncertainties in the HEFT power spectrum templates. We further reconstruct the low-redshift growth history, finding it to be compatible with the \planck predictions, as well as existing constraints from lensing tomography. Finally, we study our constraints on the HEFT bias parameters of the galaxy samples studied, finding them to be in reasonable agreement with coevolution predictions.

31 pages, 10 figures, 4 tables. Comments are welcome