The Far-infrared Background Correlation with Cmb Lensing

The intervening large–scale structure distorts cosmic microwave background (CMB) anisotropies via gravitational lensing. The same large–scale structure, traced by dusty star–forming galaxies, also induces anisotropies in the far–infrared background (FIRB). We investigate the resulting inter–dependence of the FIRB and CMB with a halo model for the FIRB. In particular, we calculate the cross–correlation between the lensing potential and the FIRB. The lensing potential can be quadratically estimated from CMB temperature and/or polarization maps. We show that the cross–correlation can be measured with high signal–to–noise with data from the Planck Surveyor. We discuss how such a measurement can be used to understand the nature of FIRB sources and their relation to the distribution of dark matter. Subject headings: cosmology: theory – cosmology: observation – diffuse radiation – infrared:cosmology: weak lensing – cosmology: formation – galaxies: evolution