MG15 - Talk detail

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Abstract

We present real-space operators that convert between polarization Stokes Q/U parameters to the coordinate-independent, scalar E/B modes that are widely used in Cosmic Microwave Background and cosmic shear analysis. The covolution kernels split naturally into angular and radial parts and we show explicitly how the spatial extent of the convolution kernel depends on the targeted band-limit. We argue that an arbitrary radial dependence can produce E/B-like maps and that these are simply filtered versions of the standard E/B maps. This allows the computation of E/B maps in real space with a compactly-supported kernel, an approach that can guarantee the avoidance of known foreground regions and can be employed in a massively parallel scheme at high-resolution. The spatial structure of the real space operators provides intuition for the E/B structure of polarized filamentary galactic foregrounds.

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Accepted

Yes

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Title

Abstract

The moment expansion machinery offers a systematic way of extending the parametrization for describing different foreground components. These extensions will play an important role in current pursuits of primordial B-mode searches and future pursuits for spectral distortions, as they enable higher precision modeling of foregrounds and subsequently their subtraction. Using this method we propose a simple prescription for assessing the number of frequency channels required to reach a certain desired accuracy in foreground modeling. We present a practical demonstration by applying this machinery on simulated multi-frequency maps. Finally we present first results from analysis on Planck HFI maps to search for these parametric extensions in measured data.

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