# Blind correction of the EB-leakage in the pixel domain

## TL;DR

This paper proves the optimality of a recycling method for correcting EB-leakage in incomplete CMB polarization data, significantly reducing uncertainties in the BB power spectrum and guiding future observational strategies.

## Contribution

It establishes the recycling method as the unique best estimate for EB-leakage correction in the blind case, improving accuracy over previous approaches.

## Key findings

- Reduces EB-leakage uncertainties by over tenfold in key multipole range
- Proves the recycling method's optimality in the blind case
- Provides guidelines for future CMB experiment design

## 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.