Measuring galaxy cluster masses with CMB lensing using a Maximum Likelihood estimator: statistical and systematic error budgets for future experiments
Abstract
We develop a Maximum Likelihood estimator (MLE) to measure the masses of galaxy clusters through the impact of gravitational lensing on the temperature and polarization anisotropies of the cosmic microwave background (CMB). We show that, at low noise levels in temperature, this optimal estimator outperforms the standard quadratic estimator by a factor of two. For polarization, we show that the Stokes Q/U maps can be used instead of the traditional E and Bmode maps without losing information. We test and quantify the bias in the recovered lensing mass for a comprehensive list of potential systematic errors. Using realistic simulations, we examine the cluster mass uncertainties from CMBcluster lensing as a function of an experiment’s beam size and noise level. We predict the cluster mass uncertainties will be 3  6% for SPT3G, AdvACT, and Simons Array experiments with 10,000 clusters and less than 1% for the CMBS4 experiment with a sample containing 100,000 clusters. The mass constraints from CMB polarization are very sensitive to the experimental beam size and map noise level: for a factor of three reduction in either the beam size or noise level, the lensing signaltonoise improves by roughly a factor of two.
 Authors:
 Univ. of Melbourne, Parkville VIC (Australia). School of Physics
 Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
 Argonne National Lab. (ANL), Argonne, IL (United States). High Energy Physics Div.; Univ. of Chicago, IL (United States). Kavli Inst. for Cosmological Physics (KICP)
 Univ. of Chicago, IL (United States). Kavli Inst. for Cosmological Physics (KICP); Univ. of Chicago, IL (United States). Dept. of Astronomy and Astrophysics
 Univ. of Illinois, Urbana, IL (United States). Dept. of Astronomy, Dept. of Physics
 Univ. of Chicago, IL (United States). Dept. of Astronomy and Astrophysics
 Publication Date:
 Research Org.:
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22); National Science Foundation (NSF); Australian Research Council
 OSTI Identifier:
 1393569
 Grant/Contract Number:
 AC0206CH11357
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Journal of Cosmology and Astroparticle Physics
 Additional Journal Information:
 Journal Volume: 2017; Journal Issue: 08; Journal ID: ISSN 14757516
 Publisher:
 Institute of Physics (IOP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; CMBR polarization; Galaxy clusters; Weak gravitational lensing
Citation Formats
Raghunathan, Srinivasan, Patil, Sanjaykumar, Baxter, Eric J., Bianchini, Federico, Bleem, Lindsey E., Crawford, Thomas M., Holder, Gilbert P., Manzotti, Alessandro, and Reichardt, Christian L. Measuring galaxy cluster masses with CMB lensing using a Maximum Likelihood estimator: statistical and systematic error budgets for future experiments. United States: N. p., 2017.
Web. doi:10.1088/14757516/2017/08/030.
Raghunathan, Srinivasan, Patil, Sanjaykumar, Baxter, Eric J., Bianchini, Federico, Bleem, Lindsey E., Crawford, Thomas M., Holder, Gilbert P., Manzotti, Alessandro, & Reichardt, Christian L. Measuring galaxy cluster masses with CMB lensing using a Maximum Likelihood estimator: statistical and systematic error budgets for future experiments. United States. doi:10.1088/14757516/2017/08/030.
Raghunathan, Srinivasan, Patil, Sanjaykumar, Baxter, Eric J., Bianchini, Federico, Bleem, Lindsey E., Crawford, Thomas M., Holder, Gilbert P., Manzotti, Alessandro, and Reichardt, Christian L. 2017.
"Measuring galaxy cluster masses with CMB lensing using a Maximum Likelihood estimator: statistical and systematic error budgets for future experiments". United States.
doi:10.1088/14757516/2017/08/030.
@article{osti_1393569,
title = {Measuring galaxy cluster masses with CMB lensing using a Maximum Likelihood estimator: statistical and systematic error budgets for future experiments},
author = {Raghunathan, Srinivasan and Patil, Sanjaykumar and Baxter, Eric J. and Bianchini, Federico and Bleem, Lindsey E. and Crawford, Thomas M. and Holder, Gilbert P. and Manzotti, Alessandro and Reichardt, Christian L.},
abstractNote = {We develop a Maximum Likelihood estimator (MLE) to measure the masses of galaxy clusters through the impact of gravitational lensing on the temperature and polarization anisotropies of the cosmic microwave background (CMB). We show that, at low noise levels in temperature, this optimal estimator outperforms the standard quadratic estimator by a factor of two. For polarization, we show that the Stokes Q/U maps can be used instead of the traditional E and Bmode maps without losing information. We test and quantify the bias in the recovered lensing mass for a comprehensive list of potential systematic errors. Using realistic simulations, we examine the cluster mass uncertainties from CMBcluster lensing as a function of an experiment’s beam size and noise level. We predict the cluster mass uncertainties will be 3  6% for SPT3G, AdvACT, and Simons Array experiments with 10,000 clusters and less than 1% for the CMBS4 experiment with a sample containing 100,000 clusters. The mass constraints from CMB polarization are very sensitive to the experimental beam size and map noise level: for a factor of three reduction in either the beam size or noise level, the lensing signaltonoise improves by roughly a factor of two.},
doi = {10.1088/14757516/2017/08/030},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 08,
volume = 2017,
place = {United States},
year = 2017,
month = 8
}

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