Redshift- and mass-integrand for the CIB and CMB lensing potential power spectra at ℓ = 500, calculated using the CIB halo model of Planck Collaboration XVIII (2011), evaluated at 217 GHz. The good match between the redshift and halo mass distributions leads to an expected correlation of up to 80%. The sharper features in the CIB kernel are artefacts from the Béthermin et al. (2012c) model. We note that the low mass, high-z behaviour of our calculation is limited by the accuracy of the mass function we use (Tinker & Wetzel 2010). All of our mass integrals use M_min = 10⁵ M_⊙.