Efficient ILC analysis on polarization maps after EB leakage correction

Abstract

The Internal Linear Combination (ILC) is widely used to extract the cosmic microwave background (CMB) signal from multi-frequency observation maps, especially for Satellite experiments with quasi-full sky coverage. We extend ILC method to CMB polarization map analysis with a small sky patch which is especially typical for ground-based experiments, by combing ILC with a template cleaning method which can give pure $B$ map free from $EB$ leakage caused by partial sky coverage. The feature of our methods is that we do the ILC analysis on pseudo-scalar $B$ maps, and the advantage is that it totally avoids the impact of $EB$ leakage on ILC, so that it can improve the efficiency of component separation dramatically. We demonstrate our methods with mock data of a future ground-based experiment with a deep survey on a clean patch in the northern sky, and the results show that the level of foreground residual can be well controlled, it biases the tensor to scalar ratio ($r$) at the order of $10^{-3}$ which is comparable to the statistical error by noise.

References in corpus (9)

• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• CMB-S4 Science Case, Reference Design, and Project Plan
• A full sky, low foreground, high resolution CMB map from WMAP
• Component separation methods for the Planck mission
• The Cosmology Large Angular Scale Surveyor
• Probing Cosmic Inflation with the LiteBIRD Cosmic Microwave Background Polarization Survey
• Simulated forecasts for primordial B-mode searches in ground-based experiments
• QUBIC: Exploring the primordial Universe with the Q\&U Bolometric Interferometer
• Blind correction of the EB-leakage in the pixel domain

Cited by in corpus (10)

• Optimization of foreground moment deprojection for semi-blind CMB polarization reconstruction
• Analysis of NILC performance on B-modes data of sub-orbital experiments
• Recovering Cosmic Microwave Background Polarization Signals with Machine Learning
• Forecasts of CMB lensing reconstruction of AliCPT-1 from the foreground cleaned polarization data
• Foreground removal with ILC methods for AliCPT-1
• Forecast of CMB TB and EB correlations for AliCPT-1
• A Constrained NILC method for CMB B mode observations
• Testing the coupling of dark radiations in light of the Hubble tension
• Delensing for Precision Cosmology: Optimizing Future CMB B-mode Surveys to Constrain r
• Mitigating point-source contamination in CMB polarization: a Generalized Point Spread Function fitting approach