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We present new measurements of CIB anisotropies using Planck. Combining HFIdata with IRAS, the angular auto- and cross frequency power spectrum ismeasured from 143 to 3000 GHz, and the auto-bispectrum from 217 to 545 GHz. Thetotal areas used to compute the CIB power spectrum and bispectrum are about2240 and 4400 deg^2, respectively. After careful removal of the contaminants,and a complete study of systematics, the CIB power spectrum and bispectrum aremeasured with unprecedented signal to noise ratio from angular multipolesell~150 to 2500, and ell~130 to 1100, respectively. Two approaches aredeveloped for modelling CIB power spectrum anisotropies. The first approachtakes advantage of the unique measurements by Planck at large angular scales,and models only the linear part of the power spectrum, with a mean bias of darkmatter halos hosting dusty galaxies at a given redshift weighted by theircontribution to the emissivities. The second approach is based on a model thatassociates star-forming galaxies with dark matter halos and their subhalos,using a parametrized relation between the dust-processed infrared luminosityand (sub-)halo mass. The two approaches simultaneously fit all auto- and cross-power spectra very well. We find that the star formation history is wellconstrained up to z~2. However, at higher redshift, the accuracy of the starformation history measurement is strongly degraded by the uncertainty in thespectral energy distribution of CIB galaxies. We also find that CIB galaxieshave warmer temperatures as redshift increases. The CIB bispectrum is steeperthan that expected from the power spectrum, although well fitted by a powerlaw; this gives some information about the contribution of massive halos to theCIB bispectrum.

Planck 2013 results. XXX. Cosmic infrared background measurements and implications for star formation