Lens covariance effects on likelihood analyses of CMB power spectra
Abstract
Non-Gaussian correlations induced in CMB power spectra by gravitational lensing needs to be included in likelihood analyses for future CMB experiments. We present a simple but accurate likelihood model which includes these correlations and use it for Markov Chain Monte Carlo parameter estimation from simulated lensed CMB maps in the context of ΛCDM and extensions which include the sum of neutrino masses or the dark energy equation of state w. If lensing-induced covariance is not taken into account for a CMB-S4 type experiment, the errors for one combination of parameters in each case would be underestimated by more then a factor of two and lower limits on w could be misestimated substantially. The frequency of falsely ruling out the true model or finding tension with other data sets would also substantially increase. Our analysis also enables a separation of lens and unlensed information from CMB power spectra, which provides for consistency tests of the model and, if combined with other such measurements, a nearly lens-sample-variance free test for systematics and new physics in the unlensed spectrum. This parameterization also leads to a simple effective likelihood that can be used to assist model building in case consistency tests of ΛCDM fail.
- Authors:
-
- Univ. of Chicago, IL (United States)
- Publication Date:
- Research Org.:
- Univ. of Chicago, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1595668
- Alternate Identifier(s):
- OSTI ID: 1408932
- Grant/Contract Number:
- SC0009924; FG02-13ER41958
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 10; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Motloch, Pavel, and Hu, Wayne. Lens covariance effects on likelihood analyses of CMB power spectra. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.96.103517.
Motloch, Pavel, & Hu, Wayne. Lens covariance effects on likelihood analyses of CMB power spectra. United States. https://doi.org/10.1103/PhysRevD.96.103517
Motloch, Pavel, and Hu, Wayne. Wed .
"Lens covariance effects on likelihood analyses of CMB power spectra". United States. https://doi.org/10.1103/PhysRevD.96.103517. https://www.osti.gov/servlets/purl/1595668.
@article{osti_1595668,
title = {Lens covariance effects on likelihood analyses of CMB power spectra},
author = {Motloch, Pavel and Hu, Wayne},
abstractNote = {Non-Gaussian correlations induced in CMB power spectra by gravitational lensing needs to be included in likelihood analyses for future CMB experiments. We present a simple but accurate likelihood model which includes these correlations and use it for Markov Chain Monte Carlo parameter estimation from simulated lensed CMB maps in the context of ΛCDM and extensions which include the sum of neutrino masses or the dark energy equation of state w. If lensing-induced covariance is not taken into account for a CMB-S4 type experiment, the errors for one combination of parameters in each case would be underestimated by more then a factor of two and lower limits on w could be misestimated substantially. The frequency of falsely ruling out the true model or finding tension with other data sets would also substantially increase. Our analysis also enables a separation of lens and unlensed information from CMB power spectra, which provides for consistency tests of the model and, if combined with other such measurements, a nearly lens-sample-variance free test for systematics and new physics in the unlensed spectrum. This parameterization also leads to a simple effective likelihood that can be used to assist model building in case consistency tests of ΛCDM fail.},
doi = {10.1103/PhysRevD.96.103517},
journal = {Physical Review D},
number = 10,
volume = 96,
place = {United States},
year = {Wed Nov 15 00:00:00 EST 2017},
month = {Wed Nov 15 00:00:00 EST 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 5 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Two-season Atacama Cosmology Telescope polarimeter lensing power spectrum
journal, June 2017
- Sherwin, Blake D.; van Engelen, Alexander; Sehgal, Neelima
- Physical Review D, Vol. 95, Issue 12
Non-Gaussian structure of the lensed CMB power spectra covariance matrix
journal, December 2012
- Benoit-Lévy, Aurélien; Smith, Kendrick M.; Hu, Wayne
- Physical Review D, Vol. 86, Issue 12
A Measurement of the Damping tail of the Cosmic Microwave Background Power Spectrum with the South pole Telescope
journal, November 2011
- Keisler, R.; Reichardt, C. L.; Aird, K. A.
- The Astrophysical Journal, Vol. 743, Issue 1
Inference from Iterative Simulation Using Multiple Sequences
journal, November 1992
- Gelman, Andrew; Rubin, Donald B.
- Statistical Science, Vol. 7, Issue 4
Angular trispectrum of the cosmic microwave background
journal, September 2001
- Hu, Wayne
- Physical Review D, Vol. 64, Issue 8
MEASUREMENTS OF SUB-DEGREE B -MODE POLARIZATION IN THE COSMIC MICROWAVE BACKGROUND FROM 100 SQUARE DEGREES OF SPTPOL DATA
journal, July 2015
- Keisler, R.; Hoover, S.; Harrington, N.
- The Astrophysical Journal, Vol. 807, Issue 2
Weak gravitational lensing of the CMB
journal, June 2006
- Lewis, A.; Challinor, A.
- Physics Reports, Vol. 429, Issue 1
Cosmological information from lensed CMB power spectra
journal, December 2006
- Smith, Kendrick M.; Hu, Wayne; Kaplinghat, Manoj
- Physical Review D, Vol. 74, Issue 12
Cosmological parameters from CMB and other data: A Monte Carlo approach
journal, November 2002
- Lewis, Antony; Bridle, Sarah
- Physical Review D, Vol. 66, Issue 10
Planck 2015 results : XV. Gravitational lensing
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 594
Full covariance of CMB and lensing reconstruction power spectra
journal, February 2017
- Peloton, Julien; Schmittfull, Marcel; Lewis, Antony
- Physical Review D, Vol. 95, Issue 4
Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models
journal, August 2000
- Lewis, Antony; Challinor, Anthony; Lasenby, Anthony
- The Astrophysical Journal, Vol. 538, Issue 2
Correlation of CMB with large-scale structure. II. Weak lensing
journal, August 2008
- Hirata, Christopher M.; Ho, Shirley; Padmanabhan, Nikhil
- Physical Review D, Vol. 78, Issue 4
Lensed CMB simulation and parameter estimation
journal, April 2005
- Lewis, Antony
- Physical Review D, Vol. 71, Issue 8
Determination of inflationary observables by cosmic microwave background anisotropy experiments
journal, October 1995
- Knox, Lloyd
- Physical Review D, Vol. 52, Issue 8
Advanced ACTPol Cryogenic Detector Arrays and Readout
journal, March 2016
- Henderson, S. W.; Allison, R.; Austermann, J.
- Journal of Low Temperature Physics, Vol. 184, Issue 3-4
Planck 2013 results. XVII. Gravitational lensing by large-scale structure
journal, October 2014
- Ade, P. A. R.; Aghanim, N.; Armitage-Caplan, C.
- Astronomy & Astrophysics, Vol. 571
Initial Performance of Bicep3: A Degree Angular Scale 95 GHz Band Polarimeter
journal, December 2015
- Wu, W. L. K.; Ade, P. A. R.; Ahmed, Z.
- Journal of Low Temperature Physics, Vol. 184, Issue 3-4
Planck 2015 results : XIII. Cosmological parameters
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 594
CMB lens sample covariance and consistency relations
journal, February 2017
- Motloch, Pavel; Hu, Wayne; Benoit-Lévy, Aurélien
- Physical Review D, Vol. 95, Issue 4
Detection of -Mode Polarization in the Cosmic Microwave Background with Data from the South Pole Telescope
journal, September 2013
- Hanson, D.; Hoover, S.; Crites, A.
- Physical Review Letters, Vol. 111, Issue 14
Bicep2/ KECK ARRAY VIII: MEASUREMENT OF GRAVITATIONAL LENSING FROM LARGE-SCALE B -MODE POLARIZATION
journal, December 2016
- Ade, P. A. R.; Ahmed, Z.; Aikin, R. W.
- The Astrophysical Journal, Vol. 833, Issue 2
Detection of the Power Spectrum of Cosmic Microwave Background Lensing by the Atacama Cosmology Telescope
journal, July 2011
- Das, Sudeep; Sherwin, Blake D.; Aguirre, Paula
- Physical Review Letters, Vol. 107, Issue 2
SPT-3G: a next-generation cosmic microwave background polarization experiment on the South Pole telescope
conference, July 2014
- Benson, B. A.; Ade, P. A. R.; Ahmed, Z.
- SPIE Astronomical Telescopes + Instrumentation, SPIE Proceedings
Detection of gravitational lensing in the cosmic microwave background
journal, August 2007
- Smith, Kendrick M.; Zahn, Oliver; Doré, Olivier
- Physical Review D, Vol. 76, Issue 4
Planck 2015 results : XI. CMB power spectra, likelihoods, and robustness of parameters
journal, September 2016
- Aghanim, N.; Arnaud, M.; Ashdown, M.
- Astronomy & Astrophysics, Vol. 594
Planck 2015 results : XXIII. The thermal Sunyaev-Zeldovich effect-cosmic infrared background correlation
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 594
Measuring the impact of COVID-19 vaccine misinformation on vaccination intent in the UK and USA
journal, February 2021
- Loomba, Sahil; de Figueiredo, Alexandre; Piatek, Simon J.
- Nature Human Behaviour, Vol. 5, Issue 3
Two-season Atacama Cosmology Telescope polarimeter lensing power spectrum
text, January 2017
- Sherwin, Blake; Van Engelen, A.; Sehgal, N.
- Apollo - University of Cambridge Repository
Planck 2015 results : X. Diffuse component separation: Foreground maps
journal, September 2016
- Adam, R.; Ade, P. A. R.; Aghanim, N.
- Astronomy & Astrophysics, Vol. 594
Correlation of CMB with large-scale structure. II. Weak lensing
text, January 2008
- Hirata, C.; Ho, S.; Padmanabhan, N.
- American Physical Society
Planck 2015 results : XVI. Isotropy and statistics of the CMB
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Akrami, Y.
- Astronomy & Astrophysics, Vol. 594
Planck 2015 results : XXVI. The Second
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Argüeso, F.
- Astronomy & Astrophysics, Vol. 594
Detection of the Power Spectrum of Cosmic Microwave Background Lensing by the Atacama Cosmology Telescope
text, January 2011
- Das, Sudeep; Sherwin, Blake D.; Aguirre, Paula
- arXiv
A Measurement of the Damping Tail of the Cosmic Microwave Background Power Spectrum with the South Pole Telescope
text, January 2011
- Keisler, R.; Reichardt, C. L.; Aird, K. A.
- arXiv
Detection of B-mode Polarization in the Cosmic Microwave Background with Data from the South Pole Telescope
text, January 2013
- Hanson, D.; Hoover, S.; Crites, A.
- arXiv
Planck 2015 results. XIII. Cosmological parameters
text, January 2015
- Collaboration, Planck; Ade, P. A. R.; Aghanim, N.
- arXiv
Planck 2015 results. XV. Gravitational lensing
text, January 2015
- Collaboration, Planck; Ade, P. A. R.; Aghanim, N.
- arXiv
Measurements of Sub-degree B-mode Polarization in the Cosmic Microwave Background from 100 Square Degrees of SPTpol Data
text, January 2015
- Keisler, R.; Hoover, S.; Harrington, N.
- arXiv
Advanced ACTPol Cryogenic Detector Arrays and Readout
text, January 2015
- Henderson, S. W.; Allison, R.; Austermann, J.
- arXiv
CMB Lens Sample Covariance and Consistency Relations
text, January 2016
- Motloch, Pavel; Hu, Wayne; Benoit-Lévy, Aurélien
- arXiv
Cosmological parameters from CMB and other data: a Monte-Carlo approach
text, January 2002
- Lewis, Antony; Bridle, Sarah
- arXiv
Works referencing / citing this record:
Tensions between direct measurements of the lens power spectrum from Planck data
text, January 2018
- Motloch, Pavel; Hu, Wayne
- arXiv