CMB temperature lensing power reconstruction

Abstract

We study reconstruction of the lensing potential power spectrum from CMB temperature data, with an eye to the Planck experiment. We work with the optimal quadratic estimator of Okamoto and Hu, which we characterize thoroughly in application to reconstruction of the lensing power spectrum. We find that at multipoles L<250 our current understanding of this estimator is biased at the 15% level by beyond-gradient terms in the Taylor expansion of lensing effects. We present the full lensed trispectrum to fourth order in the lensing potential to explain this effect. We show that the low-L bias, as well as a previously known bias at high-L, is relevant to the determination of cosmology and must be corrected for in order to avoid significant parameter errors. We also investigate the covariance of the reconstructed power, finding broad correlations of ~0.1%. Finally, we discuss several small improvements which may be made to the optimal estimator to mitigate these problems.

straightforward bias mitigation on pg. 14, matches version accepted by PRD

References in corpus (31)

• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Efficient Computation of CMB anisotropies in closed FRW models
• Non-Gaussianity from Inflation: Theory and Observations
• Weak Gravitational Lensing of the CMB
• Determination of Inflationary Observables by Cosmic Microwave Background Anisotropy Experiments
• CMB Lensing Reconstruction on the Full Sky
• Weak Lensing of the CMB: A Harmonic Approach
• CMB Anisotropies: Total Angular Momentum Method
• Detection of Gravitational Lensing in the Cosmic Microwave Background
• GRAVITATIONAL LENSING EFFECT ON COSMIC MICROWAVE BACKGROUND ANISOTROPIES: A POWER SPECTRUM APPROACH
• The Angular Trispectrum of the CMB
• Probing cosmological parameters with the CMB: Forecasts from full Monte Carlo simulations
• Dark Synergy: Gravitational Lensing and the CMB
• Determining Neutrino Mass from the CMB Alone
• Correlation of CMB with large-scale structure: II. Weak lensing
• The Microwave Background Bispectrum, Paper II: A Probe of the Low Redshift Universe
• Mapping the Dark Matter through the CMB Damping Tail
• Lensing Reconstruction with CMB Temperature and Polarization
• Analysis of CMB polarization on an incomplete sky
• Lensed CMB power spectra from all-sky correlation functions
• Lensed CMB simulation and parameter estimation
• Probing neutrino masses with CMB lensing extraction
• Reconstructing Patchy Reionization from the Cosmic Microwave Background
• Lensing of the CMB: Non Gaussian aspects
• Cosmological Information from Lensed CMB Power Spectra
• CMB lensing and primordial non-Gaussianity
• Gravitational lensing of cosmic microwave background anisotropies and cosmological parameter estimation
• Geometry of weak lensing of CMB polarization
• What can be learned from the lensed cosmic microwave background B-mode polarization power spectrum?
• Weak Lensing of the CMB by Large-Scale Structure
• Weak Lensing of the CMB: Cumulants of the Probability Distribution Function

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• Planck 2015 results. XV. Gravitational lensing
• The Atacama Cosmology Telescope: A Measurement of the DR6 CMB Lensing Power Spectrum and its Implications for Structure Growth
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• A measurement of gravitational lensing of the microwave background using South Pole Telescope data
• CMB lensing from Planck PR4 maps
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• Planck 2013 results. XVIII. Gravitational lensing-infrared background correlation
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• The Atacama Cosmology Telescope: A CMB lensing mass map over 2100 square degrees of sky and its cross-correlation with BOSS-CMASS galaxies
• The Atacama Cosmology Telescope: Cross-Correlation of CMB Lensing and Quasars
• BICEP2 / Keck Array VIII: Measurement of gravitational lensing from large-scale B-mode polarization
• Maximum a posteriori CMB lensing reconstruction
• A Measurement of the Cosmic Microwave Background Lensing Potential and Power Spectrum from 500 deg${}^2$ of SPTpol Temperature and Polarization Data
• Cosmological constraints from Planck galaxy clusters with CMB lensing mass bias calibration
• Constraints on Cosmological Parameters from the 500 deg${}^2$ SPTpol Lensing Power Spectrum
• A Measurement of the Correlation of Galaxy Surveys with CMB Lensing Convergence Maps from the South Pole Telescope
• Near optimal bispectrum estimators for large-scale structure
• Foreground-immune CMB lensing with shear-only reconstruction
• Full covariance of CMB and lensing reconstruction power spectra
• CMB Delensing Beyond the B Modes
• Internal delensing of Planck CMB temperature and polarization
• A 2500 square-degree CMB lensing map from combined South Pole Telescope and Planck data
• On the joint analysis of CMB temperature and lensing-reconstruction power spectra
• A bias to CMB lensing measurements from the bispectrum of large-scale structure
• Non-Gaussian structure of the lensed CMB power spectra covariance matrix
• Exploring cosmic origins with CORE: gravitational lensing of the CMB
• A universal bound on N-point correlations from inflation
• Full-sky lensing reconstruction of gradient and curl modes from CMB maps
• BICEP2 / Keck Array IX: New Bounds on Anisotropies of CMB Polarization Rotation and Implications for Axion-Like Particles and Primordial Magnetic Fields
• CMB lensing reconstruction biases in cross-correlation with large-scale structure probes
• Bias to CMB Lensing Reconstruction from Temperature Anisotropies due to Large-Scale Galaxy Motions
• Full-sky CMB lensing reconstruction in presence of sky-cuts
• Using CMB lensing to constrain the multiplicative bias of cosmic shear
• Lensing Reconstruction in Post-Born Cosmic Microwave Background Weak Lensing
• CMB Lensing Beyond the Power Spectrum: Cosmological Constraints from the One-Point PDF and Peak Counts
• Baryons do trace dark matter 380,000 years after the big bang: Search for compensated isocurvature perturbations with WMAP 9-year data
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• The Simons Observatory: Constraining inflationary gravitational waves with multi-tracer B-mode delensing
• Super-Sample CMB Lensing
• CMB-S4: Iterative Internal Delensing and $r$ Constraints
• Lensing reconstruction from line intensity maps: the impact of gravitational nonlinearity
• BICEP / Keck XVII: Line of Sight Distortion Analysis: Estimates of Gravitational Lensing, Anisotropic Cosmic Birefringence, Patchy Reionization, and Systematic Errors
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• Internal Delensing of Cosmic Microwave Background Acoustic Peaks
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• Constraints on Cosmological Parameters from the Angular Power Spectrum of a Combined 2500 deg${}^2$ SPT-SZ and Planck Gravitational Lensing Map
• Measurement of the Cosmic Microwave Background Polarization Lensing Power Spectrum from Two Years of POLARBEAR Data
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• Measuring the Small-Scale Matter Power Spectrum with High-Resolution CMB Lensing
• Lensing power spectrum of the Cosmic Microwave Background with deep polarization experiments
• Lensing reconstruction from a patchwork of polarization maps
• CMB lensing and primordial squeezed non-Gaussianity
• Minimizing gravitational lensing contributions to the primordial bispectrum covariance
• Impact of internal-delensing biases on searches for primordial B-modes of CMB polarisation
• Evidence for the Cross-correlation between Cosmic Microwave Background Polarization Lensing from POLARBEAR and Cosmic Shear from Subaru Hyper Suprime-Cam
• CMB lensing reconstruction biases from masking extragalactic sources
• Non-Gaussian Structure of B-mode Polarization after Delensing
• Constraints on Patchy Reionization from Planck CMB Temperature Trispectrum
• Optimal filtering for CMB lensing reconstruction
• A hybrid approach to CMB lensing reconstruction on all-sky intensity maps
• Unified and consistent structure growth measurements from joint ACT, SPT and \textit{Planck} CMB lensing
• Density reconstruction from biased tracers and its application to primordial non-Gaussianity
• Testing parity-violating physics from cosmic rotation power reconstruction
• The CMB lensing bi-spectrum as a probe of modified gravity theories
• Instrumental systematics biases in CMB lensing reconstruction: a simulation-based assessment
• The impact of extragalactic foregrounds on internal delensing of CMB B-mode polarization
• CMB Mode Coupling with Isotropic Polarization Rotation
• Real-world CMB lensing quadratic estimator power spectrum response
• Decomposing CMB lensing power with simulation
• CMB lensing reconstruction using cut sky polarization maps and pure-$B$ modes
• Reconstruction of Gravitational Lensing Using WMAP 7-Year Data
• LiteBIRD Science Goals and Forecasts: A full-sky measurement of gravitational lensing of the CMB
• Constraints on ${\tau }_{\mathrm{NL}}$ from Planck temperature and polarization
• Imitating intrinsic alignments: A bias to the CMB lensing-galaxy shape cross-correlation power spectrum induced by the large-scale structure bispectrum
• Impact of Anisotropic Birefringence on Measuring Cosmic Microwave Background Lensing
• The reconstructed CMB lensing bispectrum
• CMB lensing reconstruction with point source masks
• Quantifying the statistics of CMB-lensing-derived galaxy cluster mass measurements with simulations
• Higher-Order Gravitational Lensing Reconstruction using Feynman Diagrams
• The Superhorizon Test of Future B-mode Experiments
• CMB lensing power spectrum without noise bias
• The interplay of CMB temperature lensing power reconstruction with primordial non-Gaussianity of local type
• Cosmic variance mitigation in measurements of the integrated Sachs-Wolfe effect
• A halo model of extragalactic contamination to CMB lensing, delensing, and cross-correlations
• The Atacama Cosmology Telescope: Mitigating the impact of extragalactic foregrounds for the DR6 CMB lensing analysis
• Gravitational Lensing of the CMB: a Feynman Diagram Approach
• An Estimator for the lensing potential from galaxy number counts
• Impact of Galactic non-Gaussian foregrounds on CMB lensing measurements
• Effects of boosting on extragalactic components: methods and statistical studies
• Enhancing Primordial B-mode Detection: Comprehensive Delensing Pipelines for Improved Sensitivity to $r$
• Small Correlated Against Large Estimator (SCALE) for Cosmic Microwave Background Lensing
• Minimal parameterizations for modified gravity
• LiteBIRD science goals and forecasts: improved full-sky reconstruction of the gravitational lensing potential through the combination of Planck and LiteBIRD data
• Position-space curved-sky anisotropy quadratic estimation
• Measuring CMB non-Gaussianity as a probe of Inflation and Cosmic Strings
• Shrinking the Quadratic Estimator
• Weak lensing "post-Born" effects are equivalent to pure lens-lens couplings
• A Demonstration of Spectral Level Reconstruction of Intrinsic $B$-mode Power
• Extreme value statistics of CMB lensing deflection angles
• The Bias to Cosmic Microwave Background Lensing Reconstruction from the Kinematic Sunyaev-Zel'dovich Effect at Reionization
• CMB lensing reconstruction from the WMAP 7-year data
• Running the small-correlated-against-large estimator at scale: Applications of small-scale CMB lensing estimators on realistic simulations