Statistical Isotropy of CMB Polarization Maps

Details Statistical Isotropy of CMB Polarization Maps Statistical Isotropy of CMB Polarization Maps

2006-03-16

arxiv.org/abs/astro-ph/0603406v2

Phys.Rev. D74 (2006) 021301

Astronomy and Astrophysics

Astrophysics

6 pages, 2 figures, Conclusions & results unchanged; Extension to cutsky included (discussion & references added); Matches ver

Scientific paper

10.1103/PhysRevD.74.021301

We formulate statistical isotropy of CMB anisotropy maps in its most general form. We also present a fast and orientation independent statistical method to determine deviations from statistical isotropy in CMB polarization maps. Importance of having statistical tests of departures from SI for CMB polarization maps lies not only in interesting theoretical motivations but also in testing cleaned CMB polarization maps for observational artifacts such as residuals from polarized foreground emission. We propose a generalization of the Bipolar Power Spectrum (BiPS) to polarization maps. Application to the observed CMB polarization maps will be soon possible after the release of WMAP three year data. As a demonstration we show that for E-polarization this test can detect breakdown of statistical isotropy due to polarized synchrotron foreground.

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