Mass Reconstruction with CMB Polarization

Abstract

Weak gravitational lensing by the intervening large-scale structure of the Universe induces high-order correlations in the cosmic microwave background (CMB) temperature and polarization fields. We construct minimum variance estimators of the intervening mass distribution out of the six quadratic combinations of the temperature and polarization fields. Polarization begins to assist in the reconstruction when E-mode mapping becomes possible on degree-scale fields, i.e. for an experiment with a noise level of ~40 uK-arcmin and beam of ~7', similar to the Planck experiment; surpasses the temperature reconstruction at ~26 uK-arcmin and 4'; yet continues to improve the reconstruction until the lensing B-modes are mapped to l ~ 2000 at ~0.3 uK-arcmin and 3'. Ultimately, the correlation between the E and B modes can provide a high signal-to-noise mass map out to multipoles of L ~ 1000, extending the range of temperature-based estimators by nearly an order of magnitude. We outline four applications of mass reconstruction: measurement of the linear power spectrum in projection to the cosmic variance limit out to L ~ 1000 (or wavenumbers 0.002 < k < 0.2 in h/Mpc), cross-correlation with cosmic shear surveys to probe the evolution of structure tomographically, cross-correlation of the mass and temperature maps to probe the dark energy, and the separation of lensing and gravitational wave B-modes.

9 pages, 9 figures, published version (minor sign typo corrected)

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• Impact of thermal SZ effect on cross-correlations between Planck CMB lensing and SDSS galaxy density fields
• Cosmic opacity to CMB photons and polarization measurements
• A New Probe of the High-z BAO scale: BAO tomography With CMB $\times$ LIM-Nulling Convergence
• Constraining Cosmology With the CMB $\times$ LIM-Nulling Convergence
• Applications of High Resolution High Sensitivity Observations of the CMB
• Higher-Order Gravitational Lensing Reconstruction using Feynman Diagrams
• Probing Quintessence Potential with Future Cosmological Surveys
• 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
• CMB lensing power spectrum without noise bias
• Cluster profiles from beyond-the-QE CMB lensing mass maps
• New probe of inflationary gravitational waves: cross-correlations of lensed primary CMB B-modes with large-scale structure
• On the recovery of ISW fluctuations using large-scale structure tracers and CMB temperature and polarization anisotropies
• The first direct measurement of gravitational potential decay rate at cosmological scales and improved dark energy constraint
• A measurement of cluster masses using Planck and SPT-SZ CMB lensing
• Lensing reconstruction from the cosmic microwave background polarization with machine learning
• Cross-correlation cosmography with HI intensity mapping
• Gravitational Lensing of the Cosmic Neutrino Background
• Reconstructing the Long-wavelength Matter Density Fluctuation Modes from the Scalar-Type Clustering Fossils
• Gravitational Lensing of the CMB: a Feynman Diagram Approach
• Cool dark sector, concordance, and a low ${\sigma }_8$
• Reconstructing the Gravitational Lensing Potential from the Lyman-$\alpha$ Forest
• 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
• Lensing of 21cm Absorption "Halos" of $z\sim$20-30 First Galaxies
• Secondary B-mode polarization from Faraday rotation in clusters and galaxies
• Establishing the origin of CMB B-mode polarization
• Towards a multi-tracer neutrino mass measurement with line-intensity mapping
• Cosmic Microwave Background Polarization
• Cross-correlating radial peculiar velocities and CMB lensing convergence
• Effects of boosting on extragalactic components: methods and statistical studies
• An Estimator for the lensing potential from galaxy number counts
• CMB lensing forecasts for constraining the primordial perturbations: adding to the CMB temperature and polarization information
• CMB B-mode polarization from Thomson scattering in the local universe
• The Gravitational Lensing Imprints of DES Y3 Superstructures on the CMB: A Matched Filtering Approach
• ForSE+: Simulating non-Gaussian CMB foregrounds at 3 arcminutes in a stochastic way based on a generative adversarial network
• Prospects for studying the mass and gas in protoclusters with future CMB observations
• Testing the coupling of dark radiations in light of the Hubble tension
• Challenges in Cosmic Magnification Reconstruction by Magnification Response
• Fast and spurious: a robust determination of our peculiar velocity with future galaxy surveys
• Impact of Galactic non-Gaussian foregrounds on CMB lensing measurements
• Observable CMB B-modes from Cosmological Phase Transitions
• Direct correlation of line intensity mapping and CMB lensing from evolution along the lightcone
• Cosmological Implications of a Neutrino Mass Detection
• 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
• Approximate Likelihood Approaches for Detecting the Influence of Primordial Gravitational Waves in Cosmic Microwave Background Polarization
• Small Correlated Against Large Estimator (SCALE) for Cosmic Microwave Background Lensing
• CMB delensing with deep learning
• Forecasts of effects of beam systematics and deprojection on the third-generation ground-based cosmic microwave background experiment
• Tensor Tilt from Primordial B-modes
• A generalized quadratic estimate for random field nonstationarity
• Cosmic Microwave Background anisotropies: the power spectrum and beyond
• Statistical Imprints of SZ Effects in the Cosmic Microwave Background
• Shrinking the Quadratic Estimator
• Constraining Power of Wavelet vs. Power Spectrum Statistics for CMB Lensing and Weak Lensing with Learned Binning
• Modified Cosmology or Modified Galaxy Astrophysics is Driving the z>6 JWST Results? CMB Experiments can discover the Origin in the Near Future
• Forecasting isocurvature models with CMB lensing information: axion and curvaton scenarios
• Cross-correlating the patchy screening and kinetic Sunyaev-Zel'dovich effects as a new probe of reionization
• LiteBIRD science goals and forecasts: improved full-sky reconstruction of the gravitational lensing potential through the combination of Planck and LiteBIRD data
• Cosmological measurements from the CMB and BAO are insensitive to the tail probability in the assumed likelihood
• Time-dependent deflection reconstruction: new technique to search for gravitational waves with the cosmic microwave background
• Weak Lensing the non-Linear Ly-alpha Forest
• CMB lensing tomography with clustering estimation of lens redshift distributions
• Extreme value statistics of CMB lensing deflection angles
• Running the small-correlated-against-large estimator at scale: Applications of small-scale CMB lensing estimators on realistic simulations
• The Bias to Cosmic Microwave Background Lensing Reconstruction from the Kinematic Sunyaev-Zel'dovich Effect at Reionization
• Systematic effects on lensing reconstruction from a patchwork of CMB polarization maps
• Foreground Mitigation for CMB Lensing with the Global Minimum Variance Quadratic Estimator