The Far‐Infrared Background Correlation with Cosmic Microwave Background 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 thefar--infrared background (FIRB). We investigate the resulting inter--dependenceof the FIRB and CMB with a halo model for the FIRB. In particular, we calculatethe cross--correlation between the lensing potential and the FIRB. The lensingpotential can be quadratically estimated from CMB temperature and/orpolarization maps. We show that the cross--correlation can be measured withhigh signal--to--noise with data from the Planck Surveyor. We discuss how sucha measurement can be used to understand the nature of FIRB sources and theirrelation to the distribution of dark matter.Comment: 9 pages, 5 figures, submitted to Ap