Blind correction of the EB-leakage in the pixel domain

Abstract

We study the problem of EB-leakage that is associated with incomplete polarized CMB sky. In the blind case that assumes no additional information about the statistical properties and amplitudes of the signal from the missing sky region, we prove that the recycling method (Liu et al.~2018) gives the unique best estimate of the EB-leakage. Compared to the previous method, this method reduces the uncertainties in the BB power spectrum due to EB-leakage by more than one order of magnitude in the most interesting domain of multipoles, where $\ell$ is between $80$ and $200$. This work also provides a useful guideline for observational design of future CMB experiments.

arXiv commentMinor modifications

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Cited by in corpus (13)

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• General solutions of the leakage in integral transforms and applications to the EB-leakage and detection of the cosmological gravitational wave background
• Forecasts of effects of beam systematics and deprojection on the third-generation ground-based cosmic microwave background experiment
• Reconstruction of full sky CMB $\mathbf{E}$ and $\mathbf{B}$ modes spectra removing $\mathbf{E}$-to-$\mathbf{B}$ leakage from partial sky using deep learning
• Accelerating spherical harmonic transforms for a large number of sky maps
• Statistics of CMB polarization angles
• Pixel domain multi-resolution minimum variance painting of CMB maps
• Unbiased Primordial Gravitational Wave Inference from the CMB with SMICA
• Mitigating point-source contamination in CMB polarization: a Generalized Point Spread Function fitting approach