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Using a full analytical computation of the bispectrum based on the halo modeltogether with the halo occupation number, we derive the bispectrum of the cos-mic infrared background (CIB) anisotropies that trace the clustering ofdusty-star- forming galaxies. We focus our analysis on wavelengths in thefar-infrared and the sub-millimeter typical of the Planck/HFI andHerschel/SPIRE instruments, 350, 550, 850, and 1380 um. We explore thebispectrum behaviour as a function of several models of evolution of galaxiesand show that it is strongly sensitive to that ingredient. Contrary to thepower spectrum, the bispectrum, at the four wavelengths, seems dominated by lowredshift galaxies. Such a contribution can be hardly limited by applying lowflux cuts. We also discuss the contributions of halo mass as a function of theredshift and the wavelength, recovering that each term is sensitive to adifferent mass range. Furthermore, we show that the CIB bispectrum is a strongcontaminant of the Cosmic Microwave Background bispectrum at 850 um and higher.Finally, a Fisher analysis of the power spectrum, bispectrum alone and of thecombination of both shows that degeneracies on the HOD parameters are broken byincluding the bispectrum information, leading to tight constraints even whenincluding foreground residuals.

Non-Gaussianity of the Cosmic Infrared Background anisotropies II : Predictions of the bispectrum and constraints forecast