Comparison between the measurements of the CIB and gravitational potential cross-correlation given in Planck Collaboration 2013RPlanck Collaboration XVIII (2014) (diamonds), with the predictions from our best-fit models of the CIB cross-power spectra (red and blue solid lines for the linear and extended halo model, respectively). The other curves are the two variants of the extended halo model with: (i) a break in the global normalization of the L–M relation fixed at redshift z = 2 (blue 3-dot-dashed curve); and (ii) a break in both the temperature evolution and normalization of the L–M relation, found at redshift z = 4.2 ± 0.5 (blue long-dashed curve).