Bias-Hardened CMB Lensing with Polarization
arXiv:1310.2372 · doi:10.1093/mnras/stt2290
Abstract
Polarization data will soon provide the best avenue for measurements of the CMB lensing potential, although it is potentially sensitive to several instrumental effects including beam asymmetry, polarization angle uncertainties, sky coverage, as well as analysis choices such as masking. We derive "bias-hardened" lensing estimators to mitigate these effects, at the expense of somewhat larger reconstruction noise, and test them numerically on simulated data. We find that the mean-field bias from masking is significant for the EE quadratic lensing estimator, however the bias-hardened estimator combined with filtering techniques can mitigate the mean field. On the other hand, the EB estimator does not significantly suffer from the mean-field from the point source masking and survey window function. The contamination from beam asymmetry and polarization angle uncertainties, however, can generate mean-field biases for the EB estimator. These can also be mitigated using bias-hardened estimators, with at most a factor of ~ 3 degradation of noise level compared to the conventional approach.
12 pages, 5 figures; update explanation about source-hardened estimator
References in corpus (16)
- Detection of Gravitational Lensing in the Cosmic Microwave Background
- Detection of B-mode Polarization in the Cosmic Microwave Background with Data from the South Pole Telescope
- Evidence for massive neutrinos from CMB and lensing observations
- Correlation of CMB with large-scale structure: II. Weak lensing
- Inflation Physics from the Cosmic Microwave Background and Large Scale Structure
- Evidence for dark energy from the cosmic microwave background alone using the Atacama Cosmology Telescope lensing measurements
- CMB temperature lensing power reconstruction
- CMB Polarization Systematics Due to Beam Asymmetry: Impact on Inflationary Science
- Asymmetric Beams and CMB Statistical Anisotropy
- Using the CMB angular power spectrum to study Dark Matter-photon interactions
- A direct measurement of the linear bias of mid-infrared-selected quasars at z~1 using cosmic microwave background lensing
- A Measurement of the Correlation of Galaxy Surveys with CMB Lensing Convergence Maps from the South Pole Telescope
- A general solution to the E-B mixing problem
- Constraining cosmic string parameters with curl mode of CMB lensing
- Reconstruction of the CMB lensing for Planck
- CMB Lensing - Power Without Bias
Cited by in corpus (26)
- CMB Lensing Power Spectrum Biases from Galaxies and Clusters using High-angular Resolution Temperature Maps
- BICEP2 / Keck Array VIII: Measurement of gravitational lensing from large-scale B-mode polarization
- Optimal CMB Lensing Reconstruction and Parameter Estimation with SPTpol Data
- Lensing Reconstruction in Post-Born Cosmic Microwave Background Weak Lensing
- On the effect of non-Gaussian lensing deflections on CMB lensing measurements
- The Simons Observatory: Constraining inflationary gravitational waves with multi-tracer B-mode delensing
- Foreground Biases on Primordial Non-Gaussianity Measurements from the CMB Temperature Bispectrum: Implications for Planck and Beyond
- Foreground-immune CMB lensing reconstruction with polarization
- BICEP / Keck XVII: Line of Sight Distortion Analysis: Estimates of Gravitational Lensing, Anisotropic Cosmic Birefringence, Patchy Reionization, and Systematic Errors
- Lensing reconstruction from a patchwork of polarization maps
- Non-Gaussian Structure of B-mode Polarization after Delensing
- LiteBIRD Science Goals and Forecasts: Improving Sensitivity to Inflationary Gravitational Waves with Multitracer Delensing
- Bias to CMB lensing from lensed foregrounds
- CMB Mode Coupling with Isotropic Polarization Rotation
- Constraining reionization with the first measurement of the cross-correlation between the CMB optical-depth fluctuations and the Compton y-map
- A numerical study of observational systematic errors in lensing analysis of CMB polarization
- CMB lensing reconstruction using cut sky polarization maps and pure- modes
- LiteBIRD Science Goals and Forecasts: A full-sky measurement of gravitational lensing of the CMB
- Detection and Removal of B-mode Dust Foregrounds with Signatures of Statistical Anisotropy
- Impact of Anisotropic Birefringence on Measuring Cosmic Microwave Background Lensing
- Tomographic constraint on anisotropic cosmic birefringence
- New probe of inflationary gravitational waves: cross-correlations of lensed primary CMB B-modes with large-scale structure
- The Atacama Cosmology Telescope: Mitigating the impact of extragalactic foregrounds for the DR6 CMB lensing analysis
- Impact of Galactic non-Gaussian foregrounds on CMB lensing measurements
- Distortions in the Surface of Last Scattering
- LiteBIRD science goals and forecasts: improved full-sky reconstruction of the gravitational lensing potential through the combination of Planck and LiteBIRD data