We measure the cross-correlation signature between the Planck cosmic microwave background
(CMB) lensing map and the weak lensing observations from both the Red-sequence Cluster
Lensing Survey and the Canada–France–Hawaii Telescope Lensing Survey. In addition to a
Fourier analysis, we include the first configuration-space detection, based on the estimators
〈κCMBκgal〉 and 〈κCMBγt〉. Combining 747.2 deg2 from both surveys, we find a detection
significance that exceeds 4.2σ in both Fourier- and configuration-space analyses. Scaling the
predictions by a free parameter A, we obtain APlanck
CFHT = 0.68 ± 0.31 and APlanck
RCS = 1.31 ± 0.33.
In preparation for the next generation of measurements similar to these, we quantify the impact
of different analysis choices on these results. First, since none of these estimators probes
the exact same dynamical range, we improve our detection by combining them. Secondly,
we carry out a detailed investigation on the effect of apodization, zero-padding and mask
multiplication, validated on a suite of high-resolution simulations, and find that the latter
produces the largest systematic bias in the cosmological interpretation. Finally, we show that
residual contamination from intrinsic alignment and the effect of photometric redshift error
are both largely degenerate with the characteristic signal from massive neutrinos, however the
signature of baryon feedback might be easier to distinguish. The three lensing data sets are
publicly available