BICEP2/Keck Array. VII. Matrix based E/B separation applied to BICEP2 and the Keck Array

Ade, Peter ORCID: https://orcid.org/0000-0002-5127-0401, Ahmed, Z., Aikin, R. W., Alexander, K. D., Barkats, D., Benton, S. J., Bischoff, C. A., Bock, J. J., Bowens-Rubin, R., Brevik, J. A., Buder, I., Bullock, E., Buza, V., Connors, J., Crill, B. P., Duband, L., Dvorkin, C., Filippini, J. P., Fliescher, S., Grayson, J., Halpern, M., Harrison, S., Hildebrandt, S. R., Hilton, G. C., Hui, H., Irwin, K. D., Kang, J., Karkare, K. S., Karpel, E., Kaufman, J. P., Keating, B. G., Kefeli, S., Kernasovskiy, S. A., Kovac, J. M., Kuo, C. L., Leitch, E. M., Lueker, M., Megerian, K. G., Namikawa, T., Netterfield, C. B., Nguyen, H. T., O?Brient, R., IV, R. W. Ogburn, Orlando, A., Pryke, C., Richter, S., Schwarz, R., Sheehy, C. D., Staniszewski, Z. K., Steinbach, B., Sudiwala, R. V., Teply, G. P., Thompson, K. L., Tolan, J. E., Tucker, Carole ORCID: https://orcid.org/0000-0002-1851-3918, Turner, A. D., Vieregg, A. G., Weber, A. C., Wiebe, D. V., Willmert, J., Wong, C. L., Wu, W. L. K. and Yoon, K. W. 2016. BICEP2/Keck Array. VII. Matrix based E/B separation applied to BICEP2 and the Keck Array. The Astrophysical Journal 825 (1) , 66. 10.3847/0004-637X/825/1/66

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Abstract

A linear polarization field on the sphere can be uniquely decomposed into an E-mode and a B-mode component. These two components are analytically defined in terms of spin-2 spherical harmonics. Maps that contain filtered modes on a partial sky can also be decomposed into E-mode and B-mode components. However, the lack of full sky information prevents orthogonally separating these components using spherical harmonics. In this paper, we present a technique for decomposing an incomplete map into E and B-mode components using E and B eigenmodes of the pixel covariance in the observed map. This method is found to orthogonally define E and B in the presence of both partial sky coverage and spatial filtering. This method has been applied to the Bicep2 and the Keck Array maps and results in reducing E to B leakage from ΛCDM E-modes to a level corresponding to a tensor-to-scalar ratio of $r\lt 1\times {10}^{-4}$.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Publisher:	IOP Publishing
ISSN:	15384357
Date of First Compliant Deposit:	6 September 2017
Date of Acceptance:	17 May 2016
Last Modified:	05 May 2023 01:24
URI:	https://orca.cardiff.ac.uk/id/eprint/104400

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