Tomographic analyses of the CMB lensing and galaxy clustering to probe the linear structure growth

Abstract: In a tomographic approach, we measure the cross-correlation between the CMB lensing reconstructed from the Planck satellite and the galaxies of the photometric redshift catalogue based on the combination of the South Galactic Cap u-band Sky Survey (SCUSS), Sloan Digital Sky Survey (SDSS), and Wide-field Infrared Survey Explorer (WISE) data. We perform the analyses considering six redshift bins spanning the range of $0.1 <z<0.7$. From the estimates of the galaxy-galaxy and galaxy-CMB lensing power spectrum, we derive the galaxy bias and the amplitude of the cross-correlation for each redshift bin. We have finally applied these tomographic measurements to estimate the linear structure growth using the bias-independent $\hat{D}{G}$ estimator introduced by Giannantonio et al. 2016. We find that the amplitude of the structure growth with respect to the fiducial cosmology is $A{D}=1.16\pm 0.13$, closely consistent with the predictions of the $\Lambda$CDM model ($A_{D}^{\Lambda CDM}=1$). We perform several tests for consistency of our results, finding no significant evidence for systematic effects.