Measuring Dark Matter Power Spectrum from Cosmic Microwave Background

Abstract

We propose a method to extract the projected power spectrum of density perturbations from the distortions in the cosmic microwave background (CMB). The distortions are imprinted onto the CMB by the gravitational lensing effect and can be extracted using a combination of products of CMB derivatives. We show that future CMB experiments such as Planck will be able to extract the power spectrum with high statistical significance over two orders of magnitude in angle. The method proposed here traces dark matter directly to higher redshift (up to $z\sim 1100$) and larger scale (few Gpc) than any other currently known method. It also traces large scale structure in the linear regime, allowing simple interpretation in terms of cosmological models. By providing additional and complementary information to the one from the primary CMB analysis it will strengthen further the scientific return of future CMB experiments.

4 pages, 2 figures

Cited by in corpus (89)

• Weak Gravitational Lensing
• The Quest for B Modes from Inflationary Gravitational Waves
• Reconstruction of lensing from the cosmic microwave background polarization
• Measuring the Small-Scale Power Spectrum of Cosmic Density Fluctuations Through 21 cm Tomography Prior to the Epoch of Structure Formation
• Foregrounds and Forecasts for the Cosmic Microwave Background
• A measurement of gravitational lensing of the microwave background using South Pole Telescope data
• Observational Tests of Modified Gravity
• Probing cosmological parameters with the CMB: Forecasts from full Monte Carlo simulations
• Separation of Gravitational-Wave and Cosmic-Shear Contributions to Cosmic Microwave Background Polarization
• Correlation of CMB with large-scale structure: II. Weak lensing
• Recent Progress in the Physics of Axions and Axion-Like Particles
• Cosmic Microwave Background Fluctuations from Gravitational Waves: An Analytic Approach
• Lensing Reconstruction with CMB Temperature and Polarization
• Analyzing weak lensing of the cosmic microwave background using the likelihood function
• Lensed CMB power spectra from all-sky correlation functions
• Bias-Hardened CMB Lensing
• Probing neutrino masses with CMB lensing extraction
• A Measurement of the Cosmic Microwave Background Gravitational Lensing Potential from 100 Square Degrees of SPTpol Data
• Measurements of Sub-degree B-mode Polarization in the Cosmic Microwave Background from 100 Square Degrees of SPTpol Data
• Current cosmological constraints from a 10 parameter CMB analysis
• How to De-Rotate the Cosmic Microwave Background Polarization
• Lensing of the CMB: Non Gaussian aspects
• Measurements of B-mode Polarization of the Cosmic Microwave Background from 500 Square Degrees of SPTpol Data
• De-Rotation of the Cosmic Microwave Background Polarization: Full-Sky Formalism
• Direct Signature of Evolving Gravitational Potential from Cosmic Microwave Background
• The Atacama Cosmology Telescope: Lensing of CMB Temperature and Polarization Derived from Cosmic Infrared Background Cross-Correlation
• Cosmic Shear of the Microwave Background: The Curl Diagnostic
• Cross-correlation of CMB with large-scale structure: weak gravitational lensing
• Full covariance of CMB and lensing reconstruction power spectra
• The integrated Sachs-Wolfe Effect -- Large Scale Structure Correlation
• Testing Quintessence models with large-scale structure growth
• Quadratic estimators for CMB weak lensing
• A bias to CMB lensing measurements from the bispectrum of large-scale structure
• The Cosmic Microwave Background Radiation
• Full-sky lensing reconstruction of gradient and curl modes from CMB maps
• Lensing of 21-cm Fluctuations by Primordial Gravitational Waves
• Mapping dark matter with cosmic magnification
• Impact of Scale Dependent Bias and Nonlinear Structure Growth on the ISW Effect: Angular Power Spectra
• Cosmic 21-cm Delensing of Microwave Background Polarization and the Minimum Detectable Energy Scale of Inflation
• Weighing obscured and unobscured quasar hosts with the CMB
• Point sources in the context of future SZ surveys
• Measuring the Cosmic Shear in Fourier Space
• Updated measurements of the dark matter halo masses of obscured quasars with improved WISE and Planck data
• Detecting neutrino mass difference with cosmology
• Lensing reconstruction from line intensity maps: the impact of gravitational nonlinearity
• Bias-Hardened CMB Lensing with Polarization
• Weak Lensing of the Cosmic Microwave Background by Foreground Gravitational Waves
• Lensing effect on polarization in microwave background: extracting convergence power spectrum
• CMB lensing extraction and primordial non-Gaussianity
• CMB B-polarization to map the Large-scale Structures of the Universe
• Cosmic Shear from Scalar-Induced Gravitational Waves
• Anisotropies in the Cosmic Neutrino Background after WMAP 5-year Data
• Can Cosmic Shear Shed Light on Low Cosmic Microwave Background Multipoles?
• Weak Lensing of the CMB: Cumulants of the Probability Distribution Function
• Weak Lensing of the Primary CMB Bispectrum
• High-resolution imaging of the cosmic mass distribution from gravitational lensing of pregalactic HI
• Weak lensing reconstruction through cosmic magnification I: a minimal variance map reconstruction
• Non-Gaussian Covariance of CMB B-modes of Polarization and Parameter Degradation
• Cross-correlation of Planck CMB lensing with DESI galaxy groups
• Simple Treatments of the Photon Noise and the Pixelation Effect in Weak Lensing
• Lensing effect on the relative orientation between the Cosmic Microwave Background ellipticities and the distant galaxies
• Weak lensing reconstruction through cosmic magnification. II. Improved power spectrum determination and map-making
• Weak lensing power spectrum reconstruction by counting galaxies.-- I: the ABS method
• Real space lensing reconstruction using cosmic microwave background polarization
• Cosmic Dust Induced Flux Fluctuations: Bad and Good Aspects
• Constraining dark energy using the cross correlations of weak lensing with post-reionization probes of neutral hydrogen
• Isolating the decay rate of cosmological gravitational potential
• CMBR Weak Lensing and HI 21-cm Cross-correlation Angular Power Spectrum
• Observational constraints on the braneworld model with brane-bulk energy exchange
• Impact of Instrumental Systematic Contamination on the Lensing Mass Reconstruction using the CMB Polarization
• Extended Bose-Einstein condensate dark matter in viscous Gauss-Bonnet gravity
• Galaxy-cluster masses via 21st-century measurements of lensing of 21-cm fluctuations
• Mapping gravitational lensing of the CMB using local likelihoods
• Generalised inflation with a gravitational wave background
• Constraining Cosmology With the CMB $\times$ LIM-Nulling Convergence
• A New Probe of the High-z BAO scale: BAO tomography With CMB $\times$ LIM-Nulling Convergence
• Cosmic Tidal Reconstruction with Halo Fields
• Extended Bose-Einstein condensate dark matter in $f(Q)$ gravity
• Higher-Order Gravitational Lensing Reconstruction using Feynman Diagrams
• The first direct measurement of gravitational potential decay rate at cosmological scales and improved dark energy constraint
• A Lensing Reconstruction of Primordial Cosmic Microwave Background Polarization
• Observing the Epoch of Reionization with the Cosmic Microwave Background
• Lensing-induced Non-Gaussian Signatures in the Cosmic Microwave Background
• Lensing of 21cm Absorption "Halos" of $z\sim$20-30 First Galaxies
• Viscous interacting and stability on dark matter Bose-Einstein condensation with modified Chaplygin gas
• On the Cross-Correlation between Dark Matter Distribution and Secondary CMB Anisotropies by Ionized Intergalactic Medium
• Homology reveals significant anisotropy in the cosmic microwave background
• The Cosmic Microwave Background
• Maps of the Cosmos: The Cosmic Microwave Background