Lensing Simulation and Power Spectrum Estimation for High Resolution CMB Polarization Maps

Abstract

We present efficient algorithms for CMB lensing simulation and power spectrum es- timation for flat-sky CMB polarization maps. We build a pure B-mode estimator to remedy E to B leakage due to partial sky coverage. We show that our estimators are unbiased, and consistent with the projected errors. We demonstrate our algorithm using simulated observations of small sky patches with realistic noise and weights for upcoming CMB polarization experiments.

11 pages, 6 figures

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Cited by in corpus (26)

• A unified pseudo-$C_{\ell }$ framework
• A Measurement of the Cosmic Microwave Background B-Mode Polarization Power Spectrum at Sub-Degree Scales with POLARBEAR
• The Atacama Cosmology Telescope: A Measurement of the Cosmic Microwave Background Power Spectra at 98 and 150 GHz
• The Atacama Cosmology Telescope: Two-Season ACTPol Spectra and Parameters
• The Atacama Cosmology Telescope: CMB Polarization at $200<\ell <9000$
• The Atacama Cosmology Telescope: Two-Season ACTPol Lensing Power Spectrum
• The Atacama Cosmology Telescope: A CMB lensing mass map over 2100 square degrees of sky and its cross-correlation with BOSS-CMASS galaxies
• Evidence for Gravitational Lensing of the Cosmic Microwave Background Polarization from Cross-correlation with the Cosmic Infrared Background
• The Atacama Cosmology Telescope: Lensing of CMB Temperature and Polarization Derived from Cosmic Infrared Background Cross-Correlation
• Bayesian delensing of CMB temperature and polarization
• CMB Lensing Beyond the Power Spectrum: Cosmological Constraints from the One-Point PDF and Peak Counts
• On the effect of non-Gaussian lensing deflections on CMB lensing measurements
• Internal Delensing of Cosmic Microwave Background Acoustic Peaks
• CMB internal delensing with general optimal estimator for higher-order correlations
• Comparison of delensing methodologies and assessment of the delensing capabilities of future experiments
• Probing the statistical properties of CMB $B$-mode polarization through Minkowski Functionals
• BoloCalc: a sensitivity calculator for the design of Simons Observatory
• Testing parity-violating physics from cosmic rotation power reconstruction
• Measuring Polarized Emission in Clusters in the CMB S4 Era
• Detection and Removal of B-mode Dust Foregrounds with Signatures of Statistical Anisotropy
• Fast scalar quadratic maximum likelihood estimators for the CMB B-mode power spectrum
• Scalar quadratic maximum likelihood estimators for the CMB cross power spectrum
• The Atacama Cosmology Telescope: Delensed Power Spectra and Parameters
• Statistical imprints of CMB B-type polarization leakage in an incomplete sky survey analysis
• Detecting the tensor-to-scalar ratio with the pure pseudospectrum reconstruction of $B$-mode
• Approximate Likelihood Approaches for Detecting the Influence of Primordial Gravitational Waves in Cosmic Microwave Background Polarization