Cross-correlatingPlanckCMB lensing with SDSS: lensing–lensing and galaxy–lensing cross-correlations

We present results from cross-correlating Planck CMB lensing maps with the Sloan Digital Sky Survey (SDSS) galaxy lensing shape catalog and BOSS galaxy catalogs. For galaxy position vs. CMB lensing cross-correlations, we measure the convergence signal around the galaxies in configuration space, using the BOSS LOWZ (z~0.30) and CMASS (z~0.57) samples. With fixed Planck 2015 cosmology, doing a joint fit with the galaxy clustering measurement, for the LOWZ (CMASS) sample we find a galaxy bias bg=1.75±0.04 (1.95± 0.02) and galaxy-matter cross-correlation coefficient rcc=1.0±0.2 (0.8± 0.1) using 20<rₚ<70h⁻¹Mpc, consistent with results from galaxy-galaxy lensing. Using the same scales and including the galaxy-galaxy lensing measurements, we constrain Ωₘ=0.284±0.024 and relative calibration bias between the CMB lensing and galaxy lensing to be b_γ=0.82+0.15-0.14. The combination of galaxy lensing and CMB lensing also allows us to measure the cosmological distance ratios (with zₗ~0.3, zₛ~0.5) R=Dₛ Dl,*D_* Dl,s=2.68±0.29, consistent with predictions from the Planck 2015 cosmology (R=2.35). We detect the galaxy position-CMB convergence cross-correlation at small scales, rₚ<1h⁻¹Mpc, and find consistency with lensing by NFW halos of mass Mₕ~10¹³h⁻¹M_. Finally, we measure the CMB lensing-galaxy shear cross-correlation, finding an amplitude of A=0.76±0.23 (zₑff=0.35, θ<2^∘) with respect to Planck 2015 ΛCDM predictions (1σ-level consistency). We do not find evidence for relative systematics between the CMB and SDSS galaxy lensing.