Full covariance of CMB and lensing reconstruction power spectra
Abstract
CMB and lensing reconstruction power spectra are powerful probes of cosmology. However, they are correlated, since the CMB power spectra are lensed, and the lensing reconstruction is constructed using CMB multipoles. This paper discusses how we perform a full analysis of the auto- and cross-covariances, including polarization power spectra and minimum-variance lensing estimators, and compare with simulations of idealized future CMB-S4 observations. Covariances sourced by fluctuations in the unlensed CMB and instrumental noise can largely be removed by using a realization-dependent subtraction of lensing reconstruction noise, leaving a relatively simple covariance model that is dominated by lensing-induced terms and well described by a small number of principal components. The correlations between the CMB and lensing power spectra will be detectable at the level of $$\sim 5σ$$ for a CMB-S4 mission, and neglecting them could underestimate some parameter error bars by several tens of percent. However, we found that the inclusion of external priors or data sets to estimate parameter error bars can make the impact of the correlations almost negligible.
- Authors:
-
- Univ. of Sussex, Brighton (United Kingdom). Dept. of Physics and Astronomy
- Inst. for Advanced Study, Princeton, NJ (United States); Univ. of California, Berkeley, CA (United States). Berkeley Center for Cosmological Physics
- Univ. of California, Berkeley, CA (United States). Berkeley Center for Cosmological Physics
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1544406
- Alternate Identifier(s):
- OSTI ID: 1343469
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 4; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Peloton, Julien, Schmittfull, Marcel, Lewis, Antony, Carron, Julien, and Zahn, Oliver. Full covariance of CMB and lensing reconstruction power spectra. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.95.043508.
Peloton, Julien, Schmittfull, Marcel, Lewis, Antony, Carron, Julien, & Zahn, Oliver. Full covariance of CMB and lensing reconstruction power spectra. United States. https://doi.org/10.1103/PhysRevD.95.043508
Peloton, Julien, Schmittfull, Marcel, Lewis, Antony, Carron, Julien, and Zahn, Oliver. Fri .
"Full covariance of CMB and lensing reconstruction power spectra". United States. https://doi.org/10.1103/PhysRevD.95.043508. https://www.osti.gov/servlets/purl/1544406.
@article{osti_1544406,
title = {Full covariance of CMB and lensing reconstruction power spectra},
author = {Peloton, Julien and Schmittfull, Marcel and Lewis, Antony and Carron, Julien and Zahn, Oliver},
abstractNote = {CMB and lensing reconstruction power spectra are powerful probes of cosmology. However, they are correlated, since the CMB power spectra are lensed, and the lensing reconstruction is constructed using CMB multipoles. This paper discusses how we perform a full analysis of the auto- and cross-covariances, including polarization power spectra and minimum-variance lensing estimators, and compare with simulations of idealized future CMB-S4 observations. Covariances sourced by fluctuations in the unlensed CMB and instrumental noise can largely be removed by using a realization-dependent subtraction of lensing reconstruction noise, leaving a relatively simple covariance model that is dominated by lensing-induced terms and well described by a small number of principal components. The correlations between the CMB and lensing power spectra will be detectable at the level of $\sim 5σ$ for a CMB-S4 mission, and neglecting them could underestimate some parameter error bars by several tens of percent. However, we found that the inclusion of external priors or data sets to estimate parameter error bars can make the impact of the correlations almost negligible.},
doi = {10.1103/PhysRevD.95.043508},
journal = {Physical Review D},
number = 4,
volume = 95,
place = {United States},
year = {Fri Feb 10 00:00:00 EST 2017},
month = {Fri Feb 10 00:00:00 EST 2017}
}
Web of Science
Figures / Tables:
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Figures / Tables found in this record: