Search for anomalous alignments of structures in Planck data using Minkowski Tensors

Joby, PK and Chingangbam, Pravabati and Ghosh, Tuhin and Ganesan, Vidhya and Ravikumar, CD (2019) Search for anomalous alignments of structures in Planck data using Minkowski Tensors. In: JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (1).

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Abstract

Minkowski Tensors are tensorial generalizations of the scalar Minkowski Functionals. Due to their tensorial nature they contain additional morphological information of structures, in particular about shape and alignment, in comparison to the scalar Minkowski functionals. They have recently been used 39] to study the statistical isotropy of temperature and E mode data from the Planck satellite. The calculation in 39] relied on stereographic projection of the fields to extract the shape and alignment information. In this work, we calculate Minkowski Tensors directly on the sphere and compute the net alignment in the data, based on a recent work that extends the definition of Minkowski Tensors to random fields on curved spaces. This method circumvents numerical errors that can be introduced by the stereographic projection. We compare the resulting net alignment parameter values obtained from the frequency coadded CMB temperature data cleaned by the SMICA pipeline, 1 to those obtained from simulations that include instrumental beam effects and residual foreground and noise. We find very good agreement between the two within approximate to 1 sigma. We further compare the alignments obtained from the beam-convolved CMB maps at individual Planck frequencies to those in the corresponding simulations. We find no significant difference between observed data and simulations across all Planck frequencies, except for the 30 GHz channel. For the 30 GHz channel we find approximate to 2 sigma difference between the data and the simulations. This mild disagreement could originate from an inaccurate estimation of the instrumental beam at 30 GHz.

Item Type:	Journal Article
Publication:	JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Publisher:	IOP PUBLISHING LTD
Additional Information:	Copyright of this article belongs to IOP PUBLISHING LTD
Keywords:	CMBR experiments; CMBR theory
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	29 Jan 2019 08:40
Last Modified:	29 Jan 2019 08:40
URI:	http://eprints.iisc.ac.in/id/eprint/61530

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