Weak lensing of the CMB

Abstract

The cosmic microwave background (CMB) represents a unique source for the study of gravitational lensing. It is extended across the entire sky, partially polarized, located at the extreme distance of z=1100, and is thought to have the simple, underlying statistics of a Gaussian random field. Here we review the weak lensing of the CMB, highlighting the aspects which differentiate it from the weak lensing of other sources, such as galaxies. We discuss the statistics of the lensing deflection field which remaps the CMB, and the corresponding effect on the power spectra. We then focus on methods for reconstructing the lensing deflections, describing efficient quadratic maximum-likelihood estimators and delensing. We end by reviewing recent detections and observational prospects.

21 pages, 5 figures. Invited review for GRG special issue on gravitational lensing

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Cited by in corpus (70)

• Planck 2018 results. I. Overview and the cosmological legacy of Planck
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• Planck 2015 results. XXI. The integrated Sachs-Wolfe effect
• Planck 2013 results. XIX. The integrated Sachs-Wolfe effect
• Growth of Cosmic Structure: Probing Dark Energy Beyond Expansion
• MassiveNuS: Cosmological Massive Neutrino Simulations
• A Guide to Designing Future Ground-based CMB Experiments
• Cosmological constraints from unWISE and Planck CMB lensing tomography
• Cosmological constraints from the tomographic cross-correlation of DESI Luminous Red Galaxies and Planck CMB lensing
• BICEP2 / Keck Array VIII: Measurement of gravitational lensing from large-scale B-mode polarization
• Maximum a posteriori CMB lensing reconstruction
• Future CMB tests of dark matter: ultra-light axions and massive neutrinos
• Foreground-immune CMB lensing with shear-only reconstruction
• unWISE tomography of Planck CMB lensing
• Exploring redshift-space distortions in large-scale structure
• Lower bias, lower noise CMB lensing with foreground-hardened estimators
• Exploring cosmic origins with CORE: gravitational lensing of the CMB
• The real shape of non-Gaussianities
• Bayesian delensing of CMB temperature and polarization
• CMB Lensing Beyond the Power Spectrum: Cosmological Constraints from the One-Point PDF and Peak Counts
• Modeling CMB Lensing Cross Correlations with {\sc CLEFT}
• On the effect of non-Gaussian lensing deflections on CMB lensing measurements
• CMB-S4: Iterative Internal Delensing and $r$ Constraints
• The Effect of Quark-antiquark Confinement on the Deflection Angle by the NED Black Hole
• Weak Lensing of Intensity Mapping: the Cosmic Infrared Background
• Is there evidence for additional neutrino species from cosmology?
• CMB Constraints on the Stochastic Gravitational-Wave Background at Mpc scales
• The effect of inhomogeneities on the distance to the last scattering surface and the accuracy of the CMB analysis
• How sound are our ultra-light axion approximations?
• Cross-correlation between Subaru Hyper Suprime-Cam Galaxy Weak Lensing and Planck Cosmic Microwave Background Lensing
• Isotropy analyses of the Planck convergence map
• Lensing anomaly and oscillations in the primordial power spectrum
• Evidence for the Cross-correlation between Cosmic Microwave Background Polarization Lensing from POLARBEAR and Cosmic Shear from Subaru Hyper Suprime-Cam
• Optimal multifrequency weighting for CMB lensing
• General and consistent statistics for cosmological observations
• Optimal constraints on primordial gravitational waves from the lensed CMB
• Synergies between radio, optical and microwave observations at high redshift
• Optimal filtering for CMB lensing reconstruction
• The CMB lensing bi-spectrum as a probe of modified gravity theories
• Instrumental systematics biases in CMB lensing reconstruction: a simulation-based assessment
• CMB Mode Coupling with Isotropic Polarization Rotation
• Exploring the Growth Index ${\gamma }_L$: Insights from Different CMB Dataset Combinations and Approaches
• CMB seen through random Swiss Cheese
• Cosmological Probes of Structure Growth and Tests of Gravity
• Cosmology before noon with multiple galaxy populations
• Peering beyond the horizon with standard sirens and redshift drift
• CMB lensing reconstruction using cut sky polarization maps and pure-$B$ modes
• Real space lensing reconstruction using cosmic microwave background polarization
• CMB lensing bi-spectrum: assessing analytical predictions against full-sky lensing simulations
• LiteBIRD Science Goals and Forecasts: A full-sky measurement of gravitational lensing of the CMB
• A cross-correlation analysis of CMB lensing and radio galaxy maps
• How Sensitive is the CMB to a Single Lens?
• Probing Neutrinos from Planck and Forthcoming Galaxy Redshift Surveys
• Improving CMB non-Gaussianity estimators using tracers of local structure
• Impact of Low ell's on Large Scale Structure Anomalies
• Measuring primordial gravitational waves from CMB B-modes in cosmologies with generalized expansion histories
• Reconstructing the Gravitational Lensing Potential from the Lyman-$\alpha$ Forest
• Exploring sub-GeV Dark Matter Physics with Cosmic Ray and Future Telescopes
• Improving Cosmic Birefringence Constraints via Delensing
• Detecting deviations from Gaussianity in high-redshift CMB lensing maps
• Impact of Galactic non-Gaussian foregrounds on CMB lensing measurements
• Observable CMB B-modes from Cosmological Phase Transitions
• Amplitudes of thermal and kinetic Sunyaev-Zel'dovich signals from small-scale CMB anisotropies
• Weak lensing "post-Born" effects are equivalent to pure lens-lens couplings
• Probing Primordial black holes with the distortion of Stochastic Gravitational Wave Background
• Modified Cosmology or Modified Galaxy Astrophysics is Driving the z>6 JWST Results? CMB Experiments can discover the Origin in the Near Future
• Simulation budgeting for hybrid effective field theories
• Weak lensing deflection of three-point correlation functions
• First constraints on the intrinsic CMB dipole and our velocity with Doppler and aberration