CMB lensing tomography with clustering estimation of lens redshift distributions

Abstract

We develop a clustering-based redshift estimation approach for CMB lensing tomography, focusing on the kernel function of the lensing galaxies. Within a linear galaxy bias framework, we derive estimators for this kernel from two-point cross-correlations between lens mass and reference samples. The reconstructed kernel then enables a theoretical prediction for the angular cross-power spectrum \(C_{gκ}\) between CMB lensing convergence and lens galaxies. As a proof of concept, we measure \(C_{gκ}\) by correlating the \emph{Planck} PR4 convergence map with NVSS+SUMSS radio galaxies (\(0\lesssim z\lesssim 3\)). We estimate the radio-galaxy kernel by collectively cross-correlating their distribution with spectroscopic and photometric surveys (2MPZ, LOWZ-CMASS, eBOSS DR16 LRGs, and Gaia-unWISE QSOs). From the measured \(C_{gκ}\), we obtain \(σ_8 = 0.86^{+0.12}_{-0.09}\) when the density parameter is set to the {\it Planck} value of ${\Omega }_m=0.315$; this is in good agreement with the \emph{Planck} normalisation of ${\sigma }_8=0.812$.

22 pages, 21 figures. Published in MNRAS from Apr 30th, 2025

References in corpus (69)

• Maps of Dust IR Emission for Use in Estimation of Reddening and CMBR Foregrounds
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• Stable clustering, the halo model and nonlinear cosmological power spectra
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• Planck 2013 results. I. Overview of products and scientific results
• Sloan Digital Sky Survey IV: Mapping the Milky Way, Nearby Galaxies, and the Distant Universe
• The Simons Observatory: Science goals and forecasts
• Tensions between the Early and the Late Universe
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• Weak Gravitational Lensing of the CMB
• Wide-Field InfrarRed Survey Telescope-Astrophysics Focused Telescope Assets WFIRST-AFTA 2015 Report
• Spectroscopic Target Selection for the Sloan Digital Sky Survey: The Luminous Red Galaxy Sample
• The SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Overview and Early Data
• SUMSS: A Wide-Field Radio Imaging Survey of the Southern Sky. II. The Source Catalogue
• Planck 2018 results. VIII. Gravitational lensing
• MASTER of the CMB Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex CMB Data Sets
• Cosmological Tests of Modified Gravity
• Mass Reconstruction with CMB Polarization
• Cosmology from cosmic shear power spectra with Subaru Hyper Suprime-Cam first-year data
• ANNz: estimating photometric redshifts using artificial neural networks
• Distant Radio Galaxies and their Environments
• A unified pseudo-$C_{\ell }$ framework
• Detection of Gravitational Lensing in the Cosmic Microwave Background
• Radio sources in the 6dFGS: Local luminosity functions at 1.4 GHz for star-forming galaxies and radio-loud AGN
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies
• unWISE: unblurred coadds of the WISE imaging
• The Atacama Cosmology Telescope: DR6 Gravitational Lensing Map and Cosmological Parameters
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic correlation function between redshifts 0.6 and 1
• The Last of FIRST: The Final Catalog and Source Identifications
• Planck intermediate results. LVII. Joint Planck LFI and HFI data processing
• Calibrating Redshift Distributions Beyond Spectroscopic Limits with Cross-Correlations
• Detection of the Power Spectrum of Cosmic Microwave Background Lensing by the Atacama Cosmology Telescope
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Observational systematics and baryon acoustic oscillations in the correlation function
• A measurement of gravitational lensing of the microwave background using South Pole Telescope data
• The Molonglo Galactic Plane Survey (MGPS-2): Compact Source Catalogue
• 2MASS Photometric Redshift catalog: a comprehensive three-dimensional census of the whole sky
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Large-scale Structure Catalogs for Cosmological Analysis
• The 2dF-SDSS LRG and QSO (2SLAQ) Luminous Red Galaxy Survey
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the correlation function of LOWZ and CMASS galaxies in Data Release 12
• Cosmological Tests of Gravity
• Cosmic microwave background anisotropy power spectrum statistics for high precision cosmology
• The Pseudo-$C_l$ method: Cosmic microwave background anisotropy power spectrum statistics for high precision cosmology
• WISE x SuperCOSMOS photometric redshift catalog: 20 million galaxies over 3pi steradians
• Cosmological constraints from unWISE and Planck CMB lensing tomography
• Measurement of the angular correlation function of radio galaxies from the NRAO VLA Sky Survey
• A CMB lensing mass map and its correlation with the cosmic infrared background
• Quaia, the Gaia-unWISE Quasar Catalog: An All-Sky Spectroscopic Quasar Sample
• A 2500 square-degree CMB lensing map from combined South Pole Telescope and Planck data
• A Combined EIS-NVSS Survey Of Radio Sources (CENSORS) III: Spectroscopic observations
• Quadratic estimators for CMB weak lensing
• Primordial Non-Gaussianity and the NRAO VLA Sky Survey
• Evolution of faint radio sources in the VIDEO-XMM3 field
• Clustering-based Redshift Estimation: Comparison to Spectroscopic Redshifts
• CENSORS: A Combined EIS-NVSS Survey Of Radio Sources. I. Sample definition, radio data and optical identifications
• The Atacama Cosmology Telescope: Cosmology from cross-correlations of unWISE galaxies and ACT DR6 CMB lensing
• Cosmology with dropout selection: Straw-man surveys and CMB lensing
• KiDS & Euclid: Cosmological implications of a pseudo angular power spectrum analysis of KiDS-1000 cosmic shear tomography
• Wide-area tomography of CMB lensing and the growth of cosmological density fluctuations
• Revisiting the WMAP - NVSS angular cross correlation. A skeptic's view
• Large angular scale multipoles at redshift ~0.8
• The effect of redshift-space distortions on projected 2-pt clustering measurements
• Stacked CMB lensing and ISW signals around superstructures in the DESI Legacy Survey
• First Identification of a CMB Lensing Signal Produced by $1.5$ Million Galaxies at $z\sim$4: Constraints on Matter Density Fluctuations at High Redshift
• The angular two-point correlation of NVSS galaxies revisited
• Cosmology from Cross-Correlation of ACT-DR4 CMB Lensing and DES-Y3 Cosmic Shear
• Snowmass 2021 CMB-S4 White Paper
• Clustering of emission line galaxies with IllustrisTNG I.: fundamental properties and halo occupation distribution