(Cross-) power spectra of the CIB anisotropies measured by Planck and IRAS, compared with the best-fit extended halo model. Data points are shown in black. The red line is the sum of the linear, 1-halo and shot-noise components, which is fitted to the data. It contains the spurious CIB introduced by the CMB template (see Sect. 3.1.2). The orange dashed, green dot-dashed, and cyan three-dots-dashed lines are the best-fit shot-noise level, the 1-halo and the 2-halo terms, respectively. They are corrected for the CIB leakage in the CMB. The sum of the three is the blue long-dashed line. When the CIB leakage is negligible, the blue long-dashed line is the same as the red continuous line.