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Title: Full covariance of CMB and lensing reconstruction power spectra

Journal Article · · Physical Review D
 [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
+ Show Author Affiliations

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.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1544406
Alternate ID(s):
OSTI ID: 1343469
Journal Information:
Physical Review D, Vol. 95, Issue 4; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 43 works
Citation information provided by
Web of Science

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Cited By (19)

Physical effects involved in the measurements of neutrino masses with future cosmological data journal February 2017
Internal delensing of Planck CMB temperature and polarization journal May 2017
CMB delensing beyond the B modes journal December 2017
The Simons Observatory: science goals and forecasts journal February 2019
Expressions for optical scalars and deflection angle at second order in terms of curvature scalars journal April 2018
Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment journal June 2018
Lensing reconstruction in post-Born cosmic microwave background weak lensing journal August 2018
Effect of non-Gaussian lensing deflections on CMB lensing measurements journal December 2018
Constraints on Cosmological Parameters from the 500 deg 2 SPTPOL Lensing Power Spectrum journal January 2020
The Simons Observatory: Science goals and forecasts text January 2019
Two-season Atacama Cosmology Telescope polarimeter lensing power spectrum text January 2017
Internal delensing of Planck CMB temperature and polarization text January 2017
Bias to CMB Lensing Reconstruction from Temperature Anisotropies due to Large-Scale Galaxy Motions text January 2017
Lens covariance effects on likelihood analyses of CMB power spectra text January 2017
Parameter constraints from cross-correlation of CMB lensing with galaxy clustering text January 2017
Expressions for optical scalars and deflection angle at second order in terms of curvature scalars text January 2017
On the effect of non-Gaussian lensing deflections on CMB lensing measurements text January 2018
The Simons Observatory: Science goals and forecasts text January 2018
Constraints on Cosmological Parameters from the 500 deg$^2$ SPTpol Lensing Power Spectrum text January 2019

Figures / Tables (17)

FIG. 1(p. 5)figure FIG. 1
FIG. 2(p. 8)figure FIG. 2
FIG. 3(p. 12)figure FIG. 3
FIG. 4(p. 13)figure FIG. 4
FIG. 5(p. 16)figure FIG. 5
FIG. 6(p. 18)figure FIG. 6
TABLE I(p. 19)table TABLE I
TABLE II(p. 19)table TABLE II
TABLE III(p. 21)table TABLE III
TABLE IV.(p. 21)table TABLE IV.
FIG. 7(p. 22)figure FIG. 7
TABLE V(p. 23)table TABLE V
TABLE VI(p. 23)table TABLE VI
FIG. 8(p. 24)figure FIG. 8
FIG. 9(p. 30)figure FIG. 9
FIG. 10(p. 32)figure FIG. 10
FIG. 11(p. 33)figure FIG. 11

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