A new window on primordial non-Gaussianity
Enrico Pajer
Princeton University
Wed, Apr. 04th 2012, 14:15
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
We know very little about primordial curvature perturbations on scales smaller than about a Mpc. I review how mu-type distortion of the Cosmic Microwave Background spectrum provides the unique opportunity to probe these scales over the unexplored range from 50 to $10^4 Mpc^{-1}$. This is a very clean probe, in that it relies only on well-understood linear evolution. While mu-distortion by itself can constrain the amount of power on small scales, correlations between mu-distortion and temperature anisotropies can be used to test Gaussianity. In particular the muT cross correlation is proportional to the very squeezed limit of the primordial bispectrum and hence measures $f_{NL}$ local, while mumu is proportional to the primordial trispectrum and measures $tau_{NL}$. A simple Fisher matrix forecast shows that already with current technologies an interesting bound $Delta f_{NL} < 10^3$ could be achieved. Remarkably, mu-distortion has an extremely small cosmic variance, which in principle allows one to improve this bound by six orders of magnitude.
Contact : ccaprini


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