CMB internal delensing with general optimal estimator for higher-order correlations
Abstract
We present here a new method for delensing B modes of the cosmic microwave background (CMB) using a lensing potential reconstructed from the same realization of the CMB polarization (CMB internal delensing). The B -mode delensing is required to improve sensitivity to primary B modes generated by, e.g., the inflationary gravitational waves, axionlike particles, modified gravity, primordial magnetic fields, and topological defects such as cosmic strings. However, the CMB internal delensing suffers from substantial biases due to correlations between observed CMB maps to be delensed and that used for reconstructing a lensing potential. Since the bias depends on realizations, we construct a realization-dependent (RD) estimator for correcting these biases by deriving a general optimal estimator for higher-order correlations. The RD method is less sensitive to simulation uncertainties. Compared to the previous ℓ -splitting method, we find that the RD method corrects the biases without substantial degradation of the delensing efficiency.
- Authors:
-
- Stanford Univ., CA (United States). Dept. of Physics; Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology; SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1369439
- Alternate Identifier(s):
- OSTI ID: 1372552
- Grant/Contract Number:
- AC02-76SF00515; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 95; 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; Gravitational lenses; Gravitational wave detection; cosmic microwave background; CMB
Citation Formats
Namikawa, Toshiya. CMB internal delensing with general optimal estimator for higher-order correlations. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.95.103514.
Namikawa, Toshiya. CMB internal delensing with general optimal estimator for higher-order correlations. United States. https://doi.org/10.1103/PhysRevD.95.103514
Namikawa, Toshiya. Wed .
"CMB internal delensing with general optimal estimator for higher-order correlations". United States. https://doi.org/10.1103/PhysRevD.95.103514. https://www.osti.gov/servlets/purl/1369439.
@article{osti_1369439,
title = {CMB internal delensing with general optimal estimator for higher-order correlations},
author = {Namikawa, Toshiya},
abstractNote = {We present here a new method for delensing B modes of the cosmic microwave background (CMB) using a lensing potential reconstructed from the same realization of the CMB polarization (CMB internal delensing). The B -mode delensing is required to improve sensitivity to primary B modes generated by, e.g., the inflationary gravitational waves, axionlike particles, modified gravity, primordial magnetic fields, and topological defects such as cosmic strings. However, the CMB internal delensing suffers from substantial biases due to correlations between observed CMB maps to be delensed and that used for reconstructing a lensing potential. Since the bias depends on realizations, we construct a realization-dependent (RD) estimator for correcting these biases by deriving a general optimal estimator for higher-order correlations. The RD method is less sensitive to simulation uncertainties. Compared to the previous ℓ -splitting method, we find that the RD method corrects the biases without substantial degradation of the delensing efficiency.},
doi = {10.1103/PhysRevD.95.103514},
journal = {Physical Review D},
number = 10,
volume = 95,
place = {United States},
year = {Wed May 24 00:00:00 EDT 2017},
month = {Wed May 24 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Bias-hardened CMB lensing
journal, February 2013
- Namikawa, Toshiya; Hanson, Duncan; Takahashi, Ryuichi
- Monthly Notices of the Royal Astronomical Society, Vol. 431, Issue 1
CMB lensing bispectrum from nonlinear growth of the large scale structure
journal, June 2016
- Namikawa, Toshiya
- Physical Review D, Vol. 93, Issue 12
Delensing the CMB with the cosmic infrared background
journal, August 2015
- Sherwin, Blake D.; Schmittfull, Marcel
- Physical Review D, Vol. 92, Issue 4
Mass Reconstruction with Cosmic Microwave Background Polarization
journal, August 2002
- Hu, Wayne; Okamoto, Takemi
- The Astrophysical Journal, Vol. 574, Issue 2
Cosmic microwave background anisotropy window functions revisited
journal, October 1999
- Knox, Lloyd
- Physical Review D, Vol. 60, Issue 10
Lensed CMB power spectra from all-sky correlation functions
journal, May 2005
- Challinor, Anthony; Lewis, Antony
- Physical Review D, Vol. 71, Issue 10
A Measurement of the Cosmic Microwave Background Gravitational Lensing Potential from 100 Square Degrees of Sptpol data
journal, August 2015
- Story, K. T.; Hanson, D.; Ade, P. A. R.
- The Astrophysical Journal, Vol. 810, Issue 1
Weak gravitational lensing of the CMB
journal, June 2006
- Lewis, A.; Challinor, A.
- Physics Reports, Vol. 429, Issue 1
Planck 2015 results : XV. Gravitational lensing
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 594
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
Impact of post-Born lensing on the CMB
journal, August 2016
- Pratten, Geraint; Lewis, Antony
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 08
Non-Gaussian likelihood function and COBE data
journal, December 1996
- Amendola, L.
- Monthly Notices of the Royal Astronomical Society, Vol. 283, Issue 3
Lensing simulation and power spectrum estimation for high-resolution CMB polarization maps
journal, August 2013
- Louis, Thibaut; Næss, Sigurd; Das, Sudeep
- Monthly Notices of the Royal Astronomical Society, Vol. 435, Issue 3
Delensing CMB polarization with external datasets
journal, June 2012
- Smith, Kendrick M.; Hanson, Duncan; LoVerde, Marilena
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 06
Gravitational lensing as a contaminant of the gravity wave signal in the CMB
journal, February 2004
- Seljak, Uroš; Hirata, Christopher M.
- Physical Review D, Vol. 69, Issue 4
Cosmological Signature of New Parity-Violating Interactions
journal, August 1999
- Lue, Arthur; Wang, Limin; Kamionkowski, Marc
- Physical Review Letters, Vol. 83, Issue 8
A Probe of Primordial Gravity Waves and Vorticity
journal, March 1997
- Kamionkowski, Marc; Kosowsky, Arthur; Stebbins, Albert
- Physical Review Letters, Vol. 78, Issue 11
CMB temperature lensing power reconstruction
journal, February 2011
- Hanson, Duncan; Challinor, Anthony; Efstathiou, George
- Physical Review D, Vol. 83, Issue 4
The shape of the CMB lensing bispectrum
journal, March 2011
- Lewis, Antony; Challinor, Anthony; Hanson, Duncan
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 03
A MEASUREMENT OF THE COSMIC MICROWAVE BACKGROUND B -MODE POLARIZATION POWER SPECTRUM AT SUB-DEGREE SCALES WITH POLARBEAR
journal, October 2014
- P. A. R. Ade, The Polarbear Collaboration:; Akiba, Y.; Anthony, A. E.
- The Astrophysical Journal, Vol. 794, Issue 2
polarization of the cosmic microwave background as a tracer of strings
journal, September 2006
- Seljak, Uroš; Slosar, Anže
- Physical Review D, Vol. 74, Issue 6
Signature of Gravity Waves in the Polarization of the Microwave Background
journal, March 1997
- Seljak, Uros̆; Zaldarriaga, Matias
- Physical Review Letters, Vol. 78, Issue 11
Massive neutrinos and magnetic fields in the early universe
journal, February 2010
- Shaw, J. Richard; Lewis, Antony
- Physical Review D, Vol. 81, Issue 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
Mapping the Dark Matter through the Cosmic Microwave Background Damping Tail
journal, August 2001
- Hu, Wayne
- The Astrophysical Journal, Vol. 557, Issue 2
Prospects for Delensing the Cosmic Microwave Background for Studying Inflation
journal, July 2015
- Simard, Gabrielle; Hanson, Duncan; Holder, Gil
- The Astrophysical Journal, Vol. 807, Issue 2
Demonstration of Cosmic Microwave Background Delensing Using the Cosmic Infrared Background
journal, October 2016
- Larsen, Patricia; Challinor, Anthony; Sherwin, Blake D.
- Physical Review Letters, Vol. 117, Issue 15
Gravitational lensing effect on cosmic microwave background polarization
journal, June 1998
- Zaldarriaga, Matias; Seljak, Uroš
- Physical Review D, Vol. 58, Issue 2
Planck 2015 results : XIII. Cosmological parameters
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 594
Bias to CMB lensing measurements from the bispectrum of large-scale structure
journal, August 2016
- Böhm, Vanessa; Schmittfull, Marcel; Sherwin, Blake D.
- Physical Review D, Vol. 94, Issue 4
Planck intermediate results : XLI. A map of lensing-induced
journal, December 2016
- Ade, P. A. R.; Aghanim, N.; Ashdown, M.
- Astronomy & Astrophysics, Vol. 596
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
Lensing reconstruction from a patchwork of polarization maps
journal, September 2014
- Namikawa, Toshiya; Nagata, Ryo
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 09
Limit on the Detectability of the Energy Scale of Inflation
journal, June 2002
- Knox, Lloyd; Song, Yong-Seon
- Physical Review Letters, Vol. 89, Issue 1
Primordial magnetism in the CMB: Exact treatment of Faraday rotation and WMAP7 bounds
journal, August 2011
- Pogosian, Levon; Yadav, Amit P. S.; Ng, Yi-Fung
- Physical Review D, Vol. 84, Issue 4
General CMB and primordial trispectrum estimation
journal, July 2010
- Regan, D. M.; Shellard, E. P. S.; Fergusson, J. R.
- Physical Review D, Vol. 82, Issue 2
Separation of Gravitational-Wave and Cosmic-Shear Contributions to Cosmic Microwave Background Polarization
journal, June 2002
- Kesden, Michael; Cooray, Asantha; Kamionkowski, Marc
- Physical Review Letters, Vol. 89, Issue 1
CMB lensing beyond the power spectrum: Cosmological constraints from the one-point probability distribution function and peak counts
journal, November 2016
- Liu, Jia; Hill, J. Colin; Sherwin, Blake D.
- Physical Review D, Vol. 94, Issue 10
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
Planck intermediate results: VI. The dynamical structure of PLCKG214.6+37.0, a Planck discovered triple system of galaxy clusters
journal, February 2013
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 550
Planck intermediate results : XXIV. Constraints on variations in fundamental constants⋆
journal, July 2015
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 580
Planck 2015 results : X. Diffuse component separation: Foreground maps
journal, September 2016
- Adam, R.; Ade, P. A. R.; Aghanim, N.
- Astronomy & Astrophysics, Vol. 594
Demonstration of Cosmic Microwave Background Delensing Using the Cosmic Infrared Background
text, January 2016
- Larsen, Patricia; Challinor, Anthony; Sherwin, Blake
- Apollo - University of Cambridge Repository
Planck intermediate results: XVII. Emission of dust in the diffuse interstellar medium from the far-infrared to microwave frequencies⋆
journal, June 2014
- Abergel, A.; Ade, P. A. R.; Aghanim, N.
- Astronomy & Astrophysics, Vol. 566
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
Delensing CMB Polarization with External Datasets
text, January 2010
- Smith, Kendrick M.; Hanson, Duncan; LoVerde, Marilena
- arXiv
Bias-Hardened CMB Lensing
text, January 2012
- Namikawa, Toshiya; Hanson, Duncan; Takahashi, Ryuichi
- 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
Delensing the CMB with the Cosmic Infrared Background
text, January 2015
- Sherwin, Blake D.; Schmittfull, Marcel
- arXiv
CMB Lensing Bispectrum from Nonlinear Growth of the Large Scale Structure
text, January 2016
- Namikawa, Toshiya
- arXiv
A bias to CMB lensing measurements from the bispectrum of large-scale structure
text, January 2016
- Böhm, Vanessa; Schmittfull, Marcel; Sherwin, Blake D.
- arXiv
A limit on the detectability of the energy scale of inflation
text, January 2002
- Knox, Lloyd; Song, Yong-Seon
- arXiv
Separation of Gravitational-Wave and Cosmic-Shear Contributions to Cosmic Microwave Background Polarization
text, January 2002
- Kesden, Michael; Cooray, Asantha; Kamionkowski, Marc
- arXiv
Gravitational lensing as a contaminant of the gravity wave signal in CMB
text, January 2003
- Seljak, Uros; Hirata, Christopher M.
- arXiv
B polarization of cosmic microwave background as a tracer of strings
text, January 2006
- Seljak, Uros; Slosar, Anze
- arXiv
A Probe of Primordial Gravity Waves and Vorticity
text, January 1996
- Kamionkowski, Marc; Kosowsky, Arthur; Stebbins, Albert
- arXiv
Gravitational Lensing Effect on Cosmic Microwave Background Polarization
text, January 1998
- Zaldarriaga, Matias; Seljak, Uros
- arXiv
Cosmic Microwave Background Anisotropy Window Functions Revisited
text, January 1999
- Knox, Lloyd
- arXiv
Works referencing / citing this record:
CMB delensing beyond the B modes
journal, December 2017
- Green, Daniel; Meyers, Joel; Engelen, Alexander van
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 12
CMB Polarization B -mode Delensing with SPTpol and Herschel
journal, August 2017
- Manzotti, A.; Story, K. T.; Wu, W. L. K.
- The Astrophysical Journal, Vol. 846, Issue 1
CMB Polarization B-mode Delensing with SPTpol and Herschel
text, January 2017
- Manzotti, A.; Story, K. T.; Wu, W. L. K.
- arXiv