Planck 2018 results. VIII. Gravitational lensing

Abstract

We present measurements of the cosmic microwave background (CMB) lensing potential using the final $\text{Planck}$ 2018 temperature and polarization data. We increase the significance of the detection of lensing in the polarization maps from $5\sigma$ to $9\sigma$. Combined with temperature, lensing is detected at $40\sigma$. We present an extensive set of tests of the robustness of the lensing-potential power spectrum, and construct a minimum-variance estimator likelihood over lensing multipoles $8\le L\le 400$. We find good consistency between lensing constraints and the results from the $\text{Planck}$ CMB power spectra within the $\mathrm{\Lambda CDM}$ model. Combined with baryon density and other weak priors, the lensing analysis alone constrains ${\sigma }_8{\Omega }_{\mathrm{m}}^{0.25}=0.589\pm 0.020$ ($1\sigma$ errors). Also combining with baryon acoustic oscillation (BAO) data, we find tight individual parameter constraints, ${\sigma }_8=0.811\pm 0.019$, $H_0=67.9_{-1.3}^{+1.2}\text{km}{\text{s}}^{-1}{\mathrm{Mpc}}^{-1}$, and ${\Omega }_{\mathrm{m}}=0.303_{-0.018}^{+0.016}$. Combining with $\text{Planck}$ CMB power spectrum data, we measure ${\sigma }_8$ to better than $1\%$ precision, finding ${\sigma }_8=0.811\pm 0.006$. We find consistency with the lensing results from the Dark Energy Survey, and give combined lensing-only parameter constraints that are tighter than joint results using galaxy clustering. Using $\text{Planck}$ cosmic infrared background (CIB) maps we make a combined estimate of the lensing potential over $60\%$ of the sky with considerably more small-scale signal. We demonstrate delensing of the $\text{Planck}$ power spectra, detecting a maximum removal of $40\%$ of the lensing-induced power in all spectra. The improvement in the sharpening of the acoustic peaks by including both CIB and the quadratic lensing reconstruction is detected at high significance (abridged).

arXiv commentAbstract abridged for arxiv submission. Lensing data products available at https://wiki.cosmos.esa.int/planck-legacy-archive/index.php/Lensing. Matches version accepted by A&A, with minor updates from v1

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• Strong-lensing source reconstruction with variationally optimised Gaussian processes
• Detection of cross-correlation between CMB Lensing and low-density points
• Footprints of population III stars in the gravitational-wave background
• Constraining f(R) gravity with cross-correlation of galaxies and cosmic microwave background lensing
• Constraining Quantum Initial Conditions before Inflation
• Kinetically Coupled Scalar Fields Model and Cosmological Tensions
• Signatures of dark and baryonic structures on weakly lensed gravitational waves
• Constraints on interacting dark energy revisited: implications for the Hubble tension
• CMB lensing with shear-only reconstruction on the full sky
• Reducing the $H_0$ Tension with Exponential Acoustic Dark Energy
• On a possible nonequilibrium imprint in the cosmic background at low frequencies
• Alleviation of anomalies from the non-oscillatory vacuum in loop quantum cosmology
• Lensing impact on cosmic relics and tensions
• Mitigating Foreground Bias to the CMB Lensing Power Spectrum for a CMB-HD Survey
• Reconstructing Cosmic Polarization Rotation with ResUNet-CMB
• Does the fraction of dark matter diminish with early dark energy?
• Third-order corrections to the slow-roll expansion: calculation and constraints with Planck, ACT, SPT, and BICEP/Keck
• Host Dark Matter Halos of SDSS Red and Blue Quasars: No Significant Difference in Large-scale Environment
• Constraining a possible time-variation of the speed of light along with the fine-structure constant using strong gravitational lensing and Type Ia supernovae observations
• How robust are the parameter constraints extending the $\Lambda$CDM model?
• LiteBIRD Science Goals and Forecasts: A full-sky measurement of gravitational lensing of the CMB
• Structure Formation in Various Dynamical Dark Energy Scenarios
• Exploring bulk viscous unified scenarios with Gravitational Waves Standard Sirens
• Spin characterisation of systematics in CMB surveys -- a comprehensive formalism
• CMB lensing in a modified $\Lambda$CDM model in light of the $H_0$ tension
• A visual tool for assessing tension-resolving models in the $H_0$-${\sigma }_8$ plane
• Constraining the neutrino mass using a multi-tracer combination of two galaxy surveys and CMB lensing
• First constraints on non-minimally coupled Natural and Coleman-Weinberg inflation and massive neutrino self-interactions with Planck+BICEP/Keck
• Detecting ultra-high energy cosmic ray anisotropies through cross-correlations
• Cosmology from LOFAR Two-metre Sky Survey Data Release 2: Cross-correlation with the cosmic microwave background
• Quantum-Corrected ${\varphi }^4$ Inflation in Light of ACT Observations
• Comprehensive Constraints on Dark Radiation Injection After BBN
• Impact of Anisotropic Birefringence on Measuring Cosmic Microwave Background Lensing
• Cosmological effects of the Galileon term in Scalar-Tensor Theories
• Testing $\alpha$-attractor quintessential inflation against CMB and low-redshift data
• Constraints on ${\tau }_{\mathrm{NL}}$ from Planck temperature and polarization
• Dissecting kinetically coupled quintessence: phenomenology and observational tests
• Axion star condensation around primordial black holes and microlensing limits
• A PAge-like Unified Dark Fluid Model
• Constraining Holographic Dark Energy and Analyzing Cosmological Tensions
• Narrowing down the Hubble tension to the first two rungs of distance ladders
• Is cosmological data suggesting a nonminimal coupling between matter and gravity?
• Looking for a twist: probing the cosmological gravitomagnetic effect via weak lensing-kSZ cross correlations
• Cosmological Tests of Gravity: A Future Perspective
• Biases to primordial non-Gaussianity measurements from CMB secondary anisotropies
• Self-interacting neutrinos, the Hubble parameter tension, and the Cosmic Microwave Background
• Relic Neutrino Degeneracies and Their Impact on Cosmological Parameters
• Exploring cosmological imprints of phantom crossing with dynamical dark energy in Horndeski gravity
• On the primordial origin of the smoothing excess in the $Planck$ temperature power spectrum in light of LSS data
• No evidence for EDE from Planck data in extended scenarios
• Local alignments of parsec-scale AGN radiojets
• Cross-correlation between $Planck$ CMB lensing potential and galaxy catalogues from HELP
• Delensing of Cosmic Microwave Background Polarization with machine learning
• Scaling solutions as Early Dark Energy resolutions to the Hubble tension
• Subtracting the kinetic Sunyaev-Zeldovich effect from the cosmic microwave background with surveys of large-scale structure
• Constraints on sterile neutrinos and the cosmological tensions
• High resolution tomography for galaxy spectroscopic surveys with angular redshift fluctuations
• Late Time Modification of Structure Growth and the S8 Tension
• Coupled Dark Sector Models and Cosmological Tensions
• Local patch analysis for testing statistical isotropy of the Planck convergence map
• Can Early Dark Energy be Probed by the High-Redshift Galaxy Abundance?
• Lensed CMB power spectrum biases from masking extragalactic sources
• A cross-correlation analysis of CMB lensing and radio galaxy maps
• Improving Constraints on Models Addressing the Hubble Tension with CMB Delensing
• Cosmology from Planck CMB Lensing and DESI DR1 Quasar Tomography
• Cosmological Constraints on Thermal Friction of Axion Dark Matter
• Observational evidence for Early Dark Energy as a unified explanation for Cosmic Birefringence and the Hubble tension
• New Interpretations of the Cosmological Preference for a Negative Neutrino Mass
• Forecasts of CMB lensing reconstruction of AliCPT-1 from the foreground cleaned polarization data
• Beyond Two Parameters: Revisiting Dark Energy with the Latest Cosmic Probes
• The reconstructed CMB lensing bispectrum
• Improving Constraints on Inflation with CMB Delensing
• First step toward matter power spectrum reconstruction with Stage III weak gravitational lensing surveys
• Can acoustic and axion-like early dark energy still resolve the Hubble tension?
• Unified approach to secondary effects on the CMB B-mode polarization
• A method of weak lensing reconstruction through cosmic magnification with multi-band photometry information
• A convenient approach to characterizing model uncertainty with application to early dark energy solutions of the Hubble tension
• Dark Twilight Joined with the Light of Dawn to Unveil the Reionization History
• An unbiased method of measuring the ratio of two data sets
• Addressing the $H_0$ tension through matter with pressure and no early dark energy
• Chameleon Early Dark Energy and the Hubble Tension
• Constraints on dark energy from TDCOSMO & SLACS lenses
• A Diffused Background from Axion-like Particles in the Microwave Sky
• The CMB lensing imprint of cosmic voids detected in the WISE-Pan-STARRS luminous red galaxy catalog
• Cosmology Large Angular Scale Surveyor (CLASS): 90 GHz Telescope Pointing, Beam Profile, Window Function, and Polarization Performance
• Constraining cosmological scaling solutions of a Galileon field
• Incompatibility of fine-structure constant variations at recombination with local observations
• Singling out modified gravity parameters and datasets reveals a dichotomy between Planck and lensing
• Cosmological gravity on all scales III: non-linear matter power spectrum in phenomenological modified gravity
• The rotational kinetic Sunyaev-Zeldovich contribution to the temperature asymmetry toward the M31 halo
• What does a cosmological experiment really measure? Covariant posterior decomposition with normalizing flows
• Beyond dark energy Fisher forecasts: how DESI will constrain LCDM and quintessence models
• CMB lensing power spectrum without noise bias
• A new observable for cosmic shear
• Impact of thermal SZ effect on cross-correlations between Planck CMB lensing and SDSS galaxy density fields
• Axions in Andromeda: Searching for Minicluster -- Neutron Star Encounters with the Green Bank Telescope
• Isocurvature modes: joint analysis of the CMB power spectrum and bispectrum
• E/B mode decomposition of HSC-Y1 cosmic shear using COSEBIs: cosmological constraints and comparison with other two-point statistics
• Can Baby Universe Absorption Explain Dark Energy?
• Combining cosmic shear data with correlated photo-$z$ uncertainties: constraints from DESY1 and HSC-DR1
• Impact of Low ell's on Large Scale Structure Anomalies
• Limit on the dark matter mass from its interaction with photons
• Possible Impact of non-Gaussianities on cosmological constraints in neutrino physics
• Joint Constraints on Neutrinos and Dynamical Dark Energy in Minimally Modified Gravity
• Gravitational lens time-delay as a probe of a possible time variation of the fine-structure constant
• Cluster profiles from beyond-the-QE CMB lensing mass maps
• Current and Future constraints on single-field $\alpha$-Attractor model
• Improved cosmological fits with quantized primordial power spectra
• Field-level multiprobe analysis of the CMB, integrated Sachs-Wolfe effect, and the galaxy density maps
• Constraining Cosmology With the CMB $\times$ LIM-Nulling Convergence
• A New Window on Dynamical Dark Energy: Combining DESI-DR2 BAO with future Gravitational Wave Observations
• Rapid and Late Cosmic Reionization Driven by Massive Galaxies: a Joint Analysis of Constraints from 21-cm, Lyman Line & CMB Data Sets
• Updated Cosmological Constraints from 2D BAO Measurements: A New Compilation and Comparison with DESI DR2
• Dynamical Dark Energy and the Unresolved Hubble Tension: Multi-model Constraints from DESI 2025 and Other Probes
• Relaxing cosmological constraints on current neutrino masses
• Tomographic cross correlations between galaxy surveys and the CMB gravitational lensing potential. Effect of the redshift bin mismatch
• Lensing reconstruction from the cosmic microwave background polarization with machine learning
• The first direct measurement of gravitational potential decay rate at cosmological scales and improved dark energy constraint
• What Prevents Resolving the Hubble Tension through Late-Time Expansion Modifications?
• The FLAMINGO project: cosmology with the redshift dependence of weak gravitational lensing peaks
• Impostor Among $\nu$s: Dark Radiation Masquerading as Self-Interacting Neutrinos
• Exponential quintessence with momentum coupling to dark matter
• Redshift evolution of the Hubble constant: Constraints and new insights from an interacting dark energy model
• Redshift-space distortion constraints on the neutrino mass and models to alleviate the Hubble tension
• Cosmology and Astrophysics with the Diffuse eRASS1 X-ray Angular Power Spectrum
• On the impact of the galaxy window function on cosmological parameter estimation
• Blind Map Level Systematics Cleaning: A Quadratic Estimator Approach
• Knot reconstruction of the scalar primordial power spectrum with Planck, ACT, and SPT CMB data
• Observational constraints on inflection point quintessence with a cubic potential
• $H_0$ Without the Sound Horizon (or Supernovae): A 2% Measurement in DESI DR1
• Role of Future SNIa Data from Rubin LSST in Reinvestigating Cosmological Models
• Constraints on the phase transition of Early Dark Energy with the CMB anisotropies
• Induced Cosmological Anisotropies and CMB Anomalies by a non-Abelian Gauge-Gravity Interaction
• Constraining primordial tensor features with the anisotropies of the Cosmic Microwave Background
• Dark Matter-Radiation Scattering Enhances CMB Phase Shift through Dark Matter-loading
• Calculating Bayesian evidence for inflationary models using CONNECT
• Structure Formation in Dark Matter Particle Production Cosmology
• Early dark energy in the pre- and post-recombination epochs
• A Universal Analytic Model for Gravitational Lensing by Self-Interacting Dark Matter Halos
• Scale and redshift dependent limits on cosmic neutrino properties
• Constraints on primordial non-Gaussianity from Quaia
• An updated dark energy view of inflation
• A halo model of extragalactic contamination to CMB lensing, delensing, and cross-correlations
• Neutrino decays as a natural explanation of the neutrino mass tension
• Characterization of Extragalactic Point-Sources on E- and B-mode Maps of the CMB Polarization
• Primordial neutrinos fade to gray: constraints from cosmological observables
• Signature of Massive Neutrinos from the Clustering of Critical Points. I. Density-threshold-based Analysis in Configuration Space
• A Minkowski Functional Analysis of the Cosmic Microwave Background Weak Lensing Convergence
• Cosmic Census: Relative Distributions of Dark Matter, Galaxies and Diffuse Gas
• The Effective Field Theory of Large Scale Structure for Mixed Dark Matter Scenarios
• A frequentist view on the two-body decaying dark matter model
• An Estimator for the lensing potential from galaxy number counts
• Cross-correlating radial peculiar velocities and CMB lensing convergence
• Impact of Galactic non-Gaussian foregrounds on CMB lensing measurements
• Challenges in Cosmic Magnification Reconstruction by Magnification Response
• ForSE+: Simulating non-Gaussian CMB foregrounds at 3 arcminutes in a stochastic way based on a generative adversarial network
• KiDS-Legacy: Constraints on Horndeski gravity from weak lensing combined with galaxy clustering and cosmic microwave background anisotropies
• Effect of redshift bin mismatch on cross correlation between DESI Legacy Imaging Survey and Planck CMB lensing potential
• Improving Cosmic Birefringence Constraints via Delensing
• Effects of boosting on extragalactic components: methods and statistical studies
• Improving CMB constraints on early Universe physics with LSS: A multi-probe forecast including cross-covariance
• Constraining CMB physical processes using Planck 2018 data
• Quasar Pairs as Large--Scale Structure tracers
• Detecting deviations from Gaussianity in high-redshift CMB lensing maps
• Cosmological gravity on all scales IV: 3x2pt Fisher forecasts for pixelised phenomenological modified gravity
• A Semiblind Reconstruction of the History of Effective Number of Neutrinos Using CMB Data
• The Gravitational Lensing Imprints of DES Y3 Superstructures on the CMB: A Matched Filtering Approach
• Pixel centroid characterization with laser speckle and application to the Nancy Grace Roman Space Telescope detector arrays
• Distinguishing Primordial Magnetic Fields from Inflationary Tensor Perturbations in the Cosmic Microwave Background
• Forecasts of effects of beam systematics and deprojection on the third-generation ground-based cosmic microwave background experiment
• Accelerated inference of microlensed gravitational waves with machine learning
• Direct correlation of line intensity mapping and CMB lensing from evolution along the lightcone
• Estimators for the cross-pairwise kSZ effect: forecasts for the dark energy and modified gravity parameters with Simons Observatory and CMB-S4
• Probing gravity with the DES-CMASS sample and BOSS spectroscopy
• Neutrino Interactions with perturbed Rastall Gravity: A Novel Approach to Reducing the Hubble Tension
• Small Correlated Against Large Estimator (SCALE) for Cosmic Microwave Background Lensing
• Dark Acoustic Oscillations as an Early-Universe Explanation of the DESI Anomaly
• Baryonic effects in the Effective Field Theory of Large-Scale Structure and an analytic recipe for lensing in CMB-S4
• Cosmic Insights from Galaxy Clusters: Exploring Magnification Bias on Sub-millimeter Galaxies
• Delensing for Precision Cosmology: Optimizing Future CMB B-mode Surveys to Constrain r
• Enhancing Primordial B-mode Detection: Comprehensive Delensing Pipelines for Improved Sensitivity to $r$
• Freeze-in and freeze-out production of Higgs portal Majorana fermionic dark matter during and after reheating
• Scalar and vector modes in inflation with antisymmetric tensor field
• Constraining decaying dark matter with BOSS data and the effective field theory of large-scale structures
• Dark energy constraints in light of theoretical priors
• Lensing contribution to the 21cm intensity bispectrum
• LiteBIRD science goals and forecasts: improved full-sky reconstruction of the gravitational lensing potential through the combination of Planck and LiteBIRD data
• Unbiased Primordial Gravitational Wave Inference from the CMB with SMICA
• Characterizing CMB noise anisotropies from CMB delensing
• Inflation Story: slow-roll and beyond
• Massive neutrinos and interacting dark matter look alike through the lens of lensing
• Momentum transfer models of interacting dark energy
• Fifty shades of grayness: parametrizations of spectral distortions and applications in cosmology
• Neutrino Emission and Plasma Heating from Primordial Black Holes: An Improved Approach to $N_{\mathrm{eff}}$ Constraints
• Weak lensing "post-Born" effects are equivalent to pure lens-lens couplings
• Searching for Extremal Spots in Planck Lensing Maps
• Scalar field dark matter with two components: combined approach from particle physics and cosmology
• Fréchet Vectors as sensitive tools for blind tests of CMB anomalies
• Neutrino mass limits and decaying dark matter: background evolution versus perturbations
• Probing Interacting Dark Sectors with upcoming Post-Reionization and Galaxy Surveys
• Layered dark structure with a Structuring Field: A $Z_4$-symmetric Inert Doublet-Singlet realization and implications for the $S_8$ tension
• Towards a Machine Learning Solution for Hubble Tension: Physics-Informed Neural Network (PINN) Analysis of Tsallis Holographic Dark Energy in Presence of Neutrinos
• Probing dynamical embeddings in a five-dimensional spacetime in light of DESI BAO
• Gas thermodynamics meets galaxy kinematics: Joint mass measurements for eROSITA galaxy clusters
• New tests of dark sector interactions from the full-shape galaxy power spectrum
• A CMB lensing analysis of the extended mass distribution of clusters
• Cosmological measurements from the CMB and BAO are insensitive to the tail probability in the assumed likelihood
• Refitting cosmological data with neutrino mass and degeneracy
• $f(R)$ gravity with broken Weyl gauge symmetry, cosmological backreaction, and its effects on CMB anisotropy
• Delensing CMB B-modes using galaxy surveys: the effect of galaxy bias and matter clustering non-linearities
• Probing the Type 3 interacting dark-energy model using matter pairwise velocity
• Statistical consistency of sign-switching vacuum energy with cosmological observations
• How to embed any likelihood into SBI: Application to Planck + Stage IV galaxy surveys and Dynamical Dark Energy
• Constraints on polynomial inflation under power-law perturbations
• Cosmology with the Roman Space Telescope -- Synergies with CMB lensing
• Cosmological constraints on viable $f(R)$ models using weak lensing
• CMB lensing tomography with clustering estimation of lens redshift distributions
• Non-parametric exploration of minimally coupled gravity with phantom crossing
• Neural Network Acceleration of Large-scale Structure Theory Calculations
• Neutrino Mass, Vacuum Stability and Higgs Inflation with Vector-Like Quarks and a Single Right-Handed Neutrino
• Time-dependent deflection reconstruction: new technique to search for gravitational waves with the cosmic microwave background
• The Atacama Cosmology Telescope: A demonstration of CMB lensing measurement from daytime data
• First constraints on the intrinsic CMB dipole and our velocity with Doppler and aberration
• Systematic effects on lensing reconstruction from a patchwork of CMB polarization maps
• Bias on Tensor-to-Scalar Ratio Inference With Estimated Covariance Matrices
• Searching for Dark Structures: A Comparison of Weak-lensing Convergence Maps and Lensing-weighted Galaxy Density Maps
• Fluctuations in the Ginzburg-Landau Theory of Dark Energy: internal (in-)consistencies in PLANCK data set
• A speed limit on tachyon fields from cosmological and fine-structure data
• Sector-Resolved Bayesian Model Averaging for DESI-Era Cosmology