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, our 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 ℓ is between 100 and 200. This work also provides a useful guideline for observational design of future CMB experiments.
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