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 <identifier>oai:arXiv.org:1603.05976</identifier>
 <datestamp>2016-03-22</datestamp>
 <setSpec>physics:astro-ph</setSpec>
</header>
<metadata>
 <arXiv xmlns="http://arxiv.org/OAI/arXiv/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://arxiv.org/OAI/arXiv/ http://arxiv.org/OAI/arXiv.xsd">
 <id>1603.05976</id><created>2016-03-18</created><authors><author><keyname>Array</keyname><forenames>Keck</forenames></author><author><keyname>Collaborations</keyname><forenames>BICEP2</forenames></author><author><keyname>:</keyname></author><author><keyname>Ade</keyname><forenames>P.</forenames></author><author><keyname>Ahmed</keyname><forenames>Z.</forenames></author><author><keyname>Aikin</keyname><forenames>R. W.</forenames></author><author><keyname>Alexander</keyname><forenames>K. D.</forenames></author><author><keyname>Barkats</keyname><forenames>D.</forenames></author><author><keyname>Benton</keyname><forenames>S. J.</forenames></author><author><keyname>Bischoff</keyname><forenames>C. A.</forenames></author><author><keyname>Bock</keyname><forenames>J. J.</forenames></author><author><keyname>Bowens-Rubin</keyname><forenames>R.</forenames></author><author><keyname>Brevik</keyname><forenames>J. A.</forenames></author><author><keyname>Buder</keyname><forenames>I.</forenames></author><author><keyname>Bullock</keyname><forenames>E.</forenames></author><author><keyname>Buza</keyname><forenames>V.</forenames></author><author><keyname>Connors</keyname><forenames>J.</forenames></author><author><keyname>Crill</keyname><forenames>B. P.</forenames></author><author><keyname>Duband</keyname><forenames>L.</forenames></author><author><keyname>Dvorkin</keyname><forenames>C.</forenames></author><author><keyname>Filippini</keyname><forenames>J. P.</forenames></author><author><keyname>Fliescher</keyname><forenames>S.</forenames></author><author><keyname>Grayson</keyname><forenames>J.</forenames></author><author><keyname>Halpern</keyname><forenames>M.</forenames></author><author><keyname>Harrison</keyname><forenames>S.</forenames></author><author><keyname>Hildebrandt</keyname><forenames>S. R.</forenames></author><author><keyname>Hilton</keyname><forenames>G. C.</forenames></author><author><keyname>Hui</keyname><forenames>H.</forenames></author><author><keyname>Irwin</keyname><forenames>K. D.</forenames></author><author><keyname>Kang</keyname><forenames>J.</forenames></author><author><keyname>Karkare</keyname><forenames>K. S.</forenames></author><author><keyname>Karpel</keyname><forenames>E.</forenames></author><author><keyname>Kaufman</keyname><forenames>J. P.</forenames></author><author><keyname>Keating</keyname><forenames>B. G.</forenames></author><author><keyname>Kefeli</keyname><forenames>S.</forenames></author><author><keyname>Kernasovskiy</keyname><forenames>S. A.</forenames></author><author><keyname>Kovac</keyname><forenames>J.</forenames></author><author><keyname>Kuo</keyname><forenames>C. L.</forenames></author><author><keyname>Leitch</keyname><forenames>E. M.</forenames></author><author><keyname>Lueker</keyname><forenames>M.</forenames></author><author><keyname>Megerian</keyname><forenames>K. G.</forenames></author><author><keyname>Namikawa</keyname><forenames>T.</forenames></author><author><keyname>Netterfield</keyname><forenames>C. B.</forenames></author><author><keyname>Nguyen</keyname><forenames>H. T.</forenames></author><author><keyname>O'Brient</keyname><forenames>R.</forenames></author><author><keyname>W.</keyname><forenames>R.</forenames><suffix>IV</suffix></author><author><keyname>Orlando</keyname><forenames>A.</forenames></author><author><keyname>Pryke</keyname><forenames>C.</forenames></author><author><keyname>Richter</keyname><forenames>S.</forenames></author><author><keyname>Schwarz</keyname><forenames>R.</forenames></author><author><keyname>Sheehy</keyname><forenames>C. D.</forenames></author><author><keyname>Staniszewski</keyname><forenames>Z. K.</forenames></author><author><keyname>Steinbach</keyname><forenames>B.</forenames></author><author><keyname>Sudiwala</keyname><forenames>R. V.</forenames></author><author><keyname>Teply</keyname><forenames>G. P.</forenames></author><author><keyname>Thompson</keyname><forenames>K. L.</forenames></author><author><keyname>Tolan</keyname><forenames>J. E.</forenames></author><author><keyname>Tucker</keyname><forenames>C.</forenames></author><author><keyname>Turner</keyname><forenames>A. D.</forenames></author><author><keyname>Vieregg</keyname><forenames>A. G.</forenames></author><author><keyname>Weber</keyname><forenames>A. C.</forenames></author><author><keyname>Wiebe</keyname><forenames>D. V.</forenames></author><author><keyname>Willmert</keyname><forenames>J.</forenames></author><author><keyname>Wong</keyname><forenames>C. L.</forenames></author><author><keyname>Wu</keyname><forenames>W. L.</forenames></author><author><keyname>Yoon</keyname><forenames>K. W.</forenames></author></authors><title>BICEP2 / Keck Array VII: Matrix based E/B Separation applied to BICEP2
  and the Keck Array</title><categories>astro-ph.IM astro-ph.CO</categories><license>http://arxiv.org/licenses/nonexclusive-distrib/1.0/</license><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 LCDM E-modes to a level
corresponding to a tensor-to-scalar ratio of $r&lt;1\times10^{-4}$.
</abstract></arXiv>
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