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On Minkowski Functionals of CMB polarization

Chingangbam, Pravabati and Ganesan, Vidhya and Yogendran, K P and Park, Changbom (2017) On Minkowski Functionals of CMB polarization. In: PHYSICS LETTERS B, 771 . pp. 67-73.

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Official URL: http://doi.org/10.1016/j.physletb.2017.05.030


CMB polarization data is usually analyzed using E and B modes because they are scalar quantities under rotations along the lines of sight and have distinct physical origins. We explore the possibility of using the Stokes parameters Q and U for complementary analysis and consistency checks in the context of searches for non-Gaussianity. We show that the Minkowski Functionals (MFs) of Q, U are invariant under local rotations along the lines of sight even though Q, U are spin-2 variables, for full sky analysis. The invariance does not hold for incomplete sky. For local type primordial non-Gaussianity, when we compare the non-Gaussian deviations of MFs for Q, U to what is obtained for E mode or temperature fluctuations, we find that the amplitude is about an order of magnitude lower and the shapes of the deviations are different. This finding can be useful in distinguishing local type non-Gaussianity from other origins of non-Gaussianity in the observed data. Lastly, we analyze the sensitivity of the amplitudes of the MFs for Q, U and the number density of singularities of the total polarization intensity to the tensor-to-scalar ratio, r, and find that all of them decrease as r increases. (C) 2017 The Author(s). Published by Elsevier B.V.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 09 Sep 2017 04:44
Last Modified: 09 Sep 2017 04:44
URI: http://eprints.iisc.ac.in/id/eprint/57757

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