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Title: 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:
 [1];  [2];  [1];  [1];  [3]
  1. Univ. of Sussex, Brighton (United Kingdom). Dept. of Physics and Astronomy
  2. Inst. for Advanced Study, Princeton, NJ (United States); Univ. of California, Berkeley, CA (United States). Berkeley Center for Cosmological Physics
  3. 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}
}

Journal Article:

Citation Metrics:
Cited by: 43 works
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Figures / Tables:

FIG. 1 FIG. 1: Minimum-variance lensing power spectrum measured from our set of simulations (red points with error bars) and theoretical expectation (solid thin black line), assuming a possible CMB-S4 configuration with 1.5 $µ$K.arcmin white noise for temperature, 3 arcmin beam, multipole range 20 ≤ $ℓ$ ≤ 3000 and sky coverage $f$skymore » = 0.4. The measurement is obtained by subtracting the realization-dependent noise bias $\hat{N}$ (0),MV and analytical $N$ (1),MV bias from the uncorrected measured lensing power spectrum (black points with error bars). Coloured lines show the analytically-calculated $N$(0) biases for various combinations (see Eq. 17): TTTT (blue), EEEE (green), TETE (purple), TBTB (cyan), EBEB (red), and the minimum variance noise biases (solid thick black line for $N$ (0),MV and dashed thick black line for $N$ (1),MV).« less

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