An Inpainting Approach to Tackle the Kinematic and Thermal SZ Induced Biases in CMB-Cluster Lensing Estimators

Abstract

A galaxy cluster's own Sunyaev-Zel{'}dovich (SZ) signal is known to be a major contaminant when reconstructing the cluster's underlying lensing potential using cosmic microwave background (CMB) temperature maps. In this work, we develop a modified quadratic estimator (QE) that is designed to mitigate the lensing biases due to the kinematic and thermal SZ effects. The idea behind the approach is to use inpainting to eliminate the cluster's own emission from the large-scale CMB gradient map. In this inpainted gradient map, we fill the pixel values at the cluster location using a constrained Gaussian realization based on the information from surrounding regions. We show that the noise induced due to inpainting process is small compared to other noise sources for upcoming surveys and has minimal impact on the final lensing signal-to-noise. Without any foreground cleaning, we find a stacked mass uncertainty of 6.5% for the CMB-S4 experiment on a cluster sample containing 5000 clusters with $M_{200c}=2\times 10^{14}{M}_{\odot }$ at z = 0.7. In addition to the SZ-induced lensing biases, we also quantify the low mass bias arising due to the contamination of the CMB gradient by the cluster convergence. For the fiducial cluster sample considered in this work, we find that bias is negligible compared to the statistical uncertainties for both the standard and the modified QE even when modes up to $\sim 2700$ are used for the gradient estimation. With more gradient modes, we demonstrate that the sensitivity can be increased by 14% compared to the fiducial result above with gradient modes up to $2000$

22 pages, 4 figures, 1 table, accepted for publication in JCAP (some discussion texts included)

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Cited by in corpus (12)

• A Measurement of Gravitational Lensing of the Cosmic Microwave Background Using SPT-3G 2018 Data
• SPT-3G D1: CMB temperature and polarization power spectra and cosmology from 2019 and 2020 observations of the SPT-3G Main field
• Optimal CMB Lensing Reconstruction and Parameter Estimation with SPTpol Data
• Constraining Cluster Virialization Mechanism and Cosmology using Thermal-SZ-selected clusters from Future CMB Surveys
• Assessing the Importance of Noise from Thermal Sunyaev-Zel{'}dovich Signals for CMB Cluster Surveys and Cluster Cosmology
• First Constraints on the Epoch of Reionization Using the non-Gaussianity of the Kinematic Sunyaev-Zel{'}dovich Effect from the South Pole Telescope and {\it Herschel}-SPIRE Observations
• CMB lensing reconstruction biases from masking extragalactic sources
• Mass Estimation of Galaxy Clusters with Deep Learning II: CMB Cluster Lensing
• Cluster profiles from beyond-the-QE CMB lensing mass maps
• Inpainting hydrodynamical maps with deep learning
• A measurement of cluster masses using Planck and SPT-SZ CMB lensing
• Mapping dark matter and finding filaments: calibration of lensing analysis techniques on simulated data