A consistency relation for the CMB B-mode polarization in the squeezed limit

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Published 7 October 2014 © 2014 IOP Publishing Ltd and Sissa Medialab srl
, , Citation A. Kehagias et al JCAP10(2014)011 DOI 10.1088/1475-7516/2014/10/011

1475-7516/2014/10/011

Abstract

A large-scale temperature perturbation has a non-zero correlation with the power spectrum of B-modes of cosmological origin on short scales while the corresponding correlation is expected to be zero for B-modes sourced by galactic foregrounds. We thus compute the squeezed limit of a three-point function in which one correlates the temperature fluctuations at large scales with two polarization modes at small scales. In the particular case of the B-mode polarization we obtain a relation that connects the squeezed limit of the TBB three-point function with the cosmological B-mode power spectrum, which can be used as a consistency relation. This could in principle help to distinguish a primordial signal from that induced by inter-stellar dust.

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10.1088/1475-7516/2014/10/011