Fast scalar quadratic maximum likelihood estimators for the CMB B-mode power spectrum

Understand

Constructing a fast and efficient estimator for the B-mode power spectrum of cosmic microwave background (CMB) is of critical importance for CMB science.

• For a general CMB survey, the Quadratic Maximum Likelihood (QML) estimator for CMB polarization has been proved to be the optimal estimator with minimal uncertainties, but it is computationally very expensive.
• In this article, we propose two new QML methods for B-mode power spectrum estimation.
• We use the Smith-Zaldarriaga approach to prepare pure-B mode map, and E-mode recycling method to obtain a leakage free B-mode map.