CMB lensing tomography with clustering estimation of lens redshift distributions

Fuente: arXiv
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Auteurs principaux: Arai, Shun, Peacock, John A., Miyatake, Hironao, Nishizawa, Atsushi J.
Format: Preprint
Publié: 2025
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author Arai, Shun
Peacock, John A.
Miyatake, Hironao
Nishizawa, Atsushi J.
author_facet Arai, Shun
Peacock, John A.
Miyatake, Hironao
Nishizawa, Atsushi J.
contents 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 $Ω_m = 0.315$; this is in good agreement with the \emph{Planck} normalisation of $σ_8 = 0.812$.
format Preprint
id arxiv_https___arxiv_org_abs_2502_10168
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle CMB lensing tomography with clustering estimation of lens redshift distributions
Arai, Shun
Peacock, John A.
Miyatake, Hironao
Nishizawa, Atsushi J.
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
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 $Ω_m = 0.315$; this is in good agreement with the \emph{Planck} normalisation of $σ_8 = 0.812$.
title CMB lensing tomography with clustering estimation of lens redshift distributions
topic Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
url https://arxiv.org/abs/2502.10168