Non-Gaussian structure of B-mode polarization after delensing

Namikawa, Toshiya; Nagata, Ryo

doi:10.1088/1475-7516/2015/10/004

Title: Non-Gaussian structure of B-mode polarization after delensing

Journal Article · Thu Oct 01 00:00:00 EDT 2015 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2015/10/004· OSTI ID:1270631

Namikawa, Toshiya ^[1]; Nagata, Ryo ^[2]

Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
High Energy Accelerator Research Organization (KEK), Ibaraki (Japan)

The B-mode polarization of the cosmic microwave background on large scales has been considered as a probe of gravitational waves from the cosmic inflation. Ongoing and future experiments will, however, suffer from contamination due to the B-modes of non-primordial origins, one of which is the lensing induced B-mode polarization. Subtraction of the lensing B-modes, usually referred to as delensing, will be required for further improvement of detection sensitivity of the gravitational waves. In such experiments, knowledge of statistical properties of the B-modes after delensing is indispensable to likelihood analysis particularly because the lensing B-modes are known to be non-Gaussian. In this paper, we study non-Gaussian structure of the delensed B-modes on large scales, comparing it with that of the lensing B-modes. In particular, we investigate the power spectrum correlation matrix and the probability distribution function (PDF) of the power spectrum amplitude. Assuming an experiment in which the quadratic delensing is an almost optimal method, we find that delensing reduces correlations of the lensing B-mode power spectra between different multipoles, and that the PDF of the power spectrum amplitude is well described as a normal distribution function with a variance larger than that in the case of a Gaussian field. These features are well captured by an analytic model based on the 4th order Edgeworth expansion. Furthermore, as a consequence of the non-Gaussianity, the constraint on the tensor-to-scalar ratio after delensing is degraded within approximately a few percent, which depends on the multipole range included in the analysis.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1270631

Report Number(s):: SLAC-PUB-16654; arXiv:1506.09209

Journal Information:: Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 10; ISSN 1475-7516

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 16 works

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References (67)

Gravitational waves from self-ordering scalar fields Fenu, Elisa; Figueroa, Daniel G.; Durrer, Ruth Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 10 https://doi.org/10.1088/1475-7516/2009/10/005	journal	October 2009
Bias-hardened CMB lensing Namikawa, Toshiya; Hanson, Duncan; Takahashi, Ryuichi Monthly Notices of the Royal Astronomical Society, Vol. 431, Issue 1 https://doi.org/10.1093/mnras/stt195	journal	February 2013
Inflation physics from the cosmic microwave background and large scale structure Abazajian, K. N.; Arnold, K.; Austermann, J. Astroparticle Physics, Vol. 63 https://doi.org/10.1016/j.astropartphys.2014.05.013	journal	March 2015
Bias-hardened CMB lensing with polarization Namikawa, T.; Takahashi, R. Monthly Notices of the Royal Astronomical Society, Vol. 438, Issue 2 https://doi.org/10.1093/mnras/stt2290	journal	December 2013
Weak gravitational lensing of the CMB Lewis, A.; Challinor, A. Physics Reports, Vol. 429, Issue 1 https://doi.org/10.1016/j.physrep.2006.03.002	journal	June 2006
Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models Lewis, Antony; Challinor, Anthony; Lasenby, Anthony The Astrophysical Journal, Vol. 538, Issue 2 https://doi.org/10.1086/309179	journal	August 2000
Delensing CMB polarization with external datasets Smith, Kendrick M.; Hanson, Duncan; LoVerde, Marilena Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 06 https://doi.org/10.1088/1475-7516/2012/06/014	journal	June 2012
HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere Gorski, K. M.; Hivon, E.; Banday, A. J. The Astrophysical Journal, Vol. 622, Issue 2 https://doi.org/10.1086/427976	journal	April 2005
Planck 2013 results. XVI. Cosmological parameters Ade, P. A. R.; Aghanim, N.; Armitage-Caplan, C. Astronomy & Astrophysics, Vol. 571 https://doi.org/10.1051/0004-6361/201321591	journal	October 2014
The Simons Array: expanding POLARBEAR to three multi-chroic telescopes Arnold, K.; Stebor, N.; Ade, P. A. R. SPIE Astronomical Telescopes + Instrumentation, SPIE Proceedings https://doi.org/10.1117/12.2057332	conference	August 2014
Joint Analysis of BICEP2/ Keck Array and Planck Data Ade, P. A. R.; Aghanim, N.; Ahmed, Z. Physical Review Letters, Vol. 114, Issue 10 https://doi.org/10.1103/physrevlett.114.101301	journal	March 2015
Planck 2013 results. XVII. Gravitational lensing by large-scale structure Ade, P. A. R.; Aghanim, N.; Armitage-Caplan, C. Astronomy & Astrophysics, Vol. 571 https://doi.org/10.1051/0004-6361/201321543	journal	October 2014
Measuring the tensor to scalar ratio from CMB B-modes in the presence of foregrounds Betoule, M.; Pierpaoli, E.; Delabrouille, J. Astronomy & Astrophysics, Vol. 503, Issue 3 https://doi.org/10.1051/0004-6361/200911624	journal	May 2009
Precision epoch of reionization studies with next-generation CMB experiments Calabrese, Erminia; Hložek, Renée; Battaglia, Nick Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 08 https://doi.org/10.1088/1475-7516/2014/08/010	journal	August 2014
CMB foreground: A concise review Ichiki, K. Progress of Theoretical and Experimental Physics, Vol. 2014, Issue 6 https://doi.org/10.1093/ptep/ptu065	journal	June 2014
Lensing reconstruction from a patchwork of polarization maps Namikawa, Toshiya; Nagata, Ryo Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 09 https://doi.org/10.1088/1475-7516/2014/09/009	journal	September 2014
SPT-3G: a next-generation cosmic microwave background polarization experiment on the South Pole telescope Benson, B. A.; Ade, P. A. R.; Ahmed, Z. SPIE Astronomical Telescopes + Instrumentation, SPIE Proceedings https://doi.org/10.1117/12.2057305	conference	July 2014
Full-sky lensing reconstruction of gradient and curl modes from CMB maps Namikawa, Toshiya; Yamauchi, Daisuke; Taruya, Atsushi Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 01 https://doi.org/10.1088/1475-7516/2012/01/007	journal	January 2012
Prospects for polarized foreground removal Dunkley, J.; Amblard, A.; Baccigalupi, C. CMB POLARIZATION WORKSHOP: THEORY AND FOREGROUNDS: CMBPol Mission Concept Study, AIP Conference Proceedings https://doi.org/10.1063/1.3160888	conference	January 2009
Likelihood analysis of CMB temperature and polarization power spectra Hamimeche, Samira; Lewis, Antony Physical Review D, Vol. 77, Issue 10 https://doi.org/10.1103/physrevd.77.103013	journal	May 2008
SIMPLE FOREGROUND CLEANING ALGORITHM FOR DETECTING PRIMORDIAL B -MODE POLARIZATION OF THE COSMIC MICROWAVE BACKGROUND Katayama, Nobuhiko; Komatsu, Eiichiro The Astrophysical Journal, Vol. 737, Issue 2 https://doi.org/10.1088/0004-637X/737/2/78	journal	August 2011
Gravitational lensing effect on cosmic microwave background polarization Zaldarriaga, Matias; Seljak, Uroš Physical Review D, Vol. 58, Issue 2 https://doi.org/10.1103/PhysRevD.58.023003	journal	June 1998
Gravitational lensing as a contaminant of the gravity wave signal in the CMB Seljak, Uroš; Hirata, Christopher M. Physical Review D, Vol. 69, Issue 4 https://doi.org/10.1103/PhysRevD.69.043005	journal	February 2004
Testing and extending the inflationary consistency relation for tensor modes Boyle, Latham; Smith, Kendrick M.; Dvorkin, Cora Physical Review D, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevD.92.043504	journal	August 2015
Prospects for Delensing the Cosmic Microwave Background for Studying Inflation Simard, Gabrielle; Hanson, Duncan; Holder, Gil The Astrophysical Journal, Vol. 807, Issue 2 https://doi.org/10.1088/0004-637X/807/2/166	journal	July 2015
Future detectability of gravitational-wave induced lensing from high-sensitivity CMB experiments Namikawa, Toshiya; Yamauchi, Daisuke; Taruya, Atsushi Physical Review D, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevD.91.043531	journal	February 2015
Effects of cosmic strings with delayed scaling on CMB anisotropy Kamada, Kohei; Miyamoto, Yuhei; Yamauchi, Daisuke Physical Review D, Vol. 90, Issue 8 https://doi.org/10.1103/PhysRevD.90.083502	journal	October 2014
Anisotropic Stress as a Signature of Nonstandard Propagation of Gravitational Waves Saltas, Ippocratis D.; Sawicki, Ignacy; Amendola, Luca Physical Review Letters, Vol. 113, Issue 19 https://doi.org/10.1103/PhysRevLett.113.191101	journal	November 2014
Exact Scale-Invariant Background of Gravitational Waves from Cosmic Defects Figueroa, Daniel G.; Hindmarsh, Mark; Urrestilla, Jon Physical Review Letters, Vol. 110, Issue 10 https://doi.org/10.1103/PhysRevLett.110.101302	journal	March 2013
The Atacama Cosmology Telescope: Lensing of cmb Temperature and Polarization Derived from Cosmic Infrared Background Cross-Correlation Engelen, Alexander van; Sherwin, Blake D.; Sehgal, Neelima The Astrophysical Journal, Vol. 808, Issue 1 https://doi.org/10.1088/0004-637X/808/1/7	journal	July 2015
Measurement of the Cosmic Microwave Background Polarization Lensing Power Spectrum with the POLARBEAR Experiment Ade, P. A. R.; Akiba, Y.; Anthony, A. E. Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.021301	journal	July 2014
Detection of $B$ -Mode Polarization in the Cosmic Microwave Background with Data from the South Pole Telescope Hanson, D.; Hoover, S.; Crites, A. Physical Review Letters, Vol. 111, Issue 14 https://doi.org/10.1103/PhysRevLett.111.141301	journal	September 2013
Delensing the CMB with the cosmic infrared background Sherwin, Blake D.; Schmittfull, Marcel Physical Review D, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevD.92.043005	journal	August 2015
Weak lensing of the CMB: Sampling errors on B modes Smith, Kendrick M.; Hu, Wayne; Kaplinghat, Manoj Physical Review D, Vol. 70, Issue 4 https://doi.org/10.1103/PhysRevD.70.043002	journal	August 2004
Cosmological information from lensed CMB power spectra Smith, Kendrick M.; Hu, Wayne; Kaplinghat, Manoj Physical Review D, Vol. 74, Issue 12 https://doi.org/10.1103/PhysRevD.74.123002	journal	December 2006
Non-Gaussian covariance of CMB $B$ modes of polarization and parameter degradation Li, Chao; Smith, Tristan L.; Cooray, Asantha Physical Review D, Vol. 75, Issue 8 https://doi.org/10.1103/PhysRevD.75.083501	journal	April 2007
Non-Gaussian structure of the lensed CMB power spectra covariance matrix Benoit-Lévy, Aurélien; Smith, Kendrick M.; Hu, Wayne Physical Review D, Vol. 86, Issue 12 https://doi.org/10.1103/PhysRevD.86.123008	journal	December 2012
Lensed CMB power spectra from all-sky correlation functions Challinor, Anthony; Lewis, Antony Physical Review D, Vol. 71, Issue 10 https://doi.org/10.1103/PhysRevD.71.103010	journal	May 2005
Weak lensing of the CMB: A harmonic approach Hu, Wayne Physical Review D, Vol. 62, Issue 4 https://doi.org/10.1103/PhysRevD.62.043007	journal	July 2000
Cosmic microwave background lensing reconstruction on the full sky Okamoto, Takemi; Hu, Wayne Physical Review D, Vol. 67, Issue 8 https://doi.org/10.1103/PhysRevD.67.083002	journal	April 2003
CMB temperature lensing power reconstruction Hanson, Duncan; Challinor, Anthony; Efstathiou, George Physical Review D, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevD.83.043005	journal	February 2011
Reconstruction of lensing from the cosmic microwave background polarization Hirata, Christopher M.; Seljak, Uroš Physical Review D, Vol. 68, Issue 8 https://doi.org/10.1103/PhysRevD.68.083002	journal	October 2003
General CMB and primordial trispectrum estimation Regan, D. M.; Shellard, E. P. S.; Fergusson, J. R. Physical Review D, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevD.82.023520	journal	July 2010
Joint analysis of CMB temperature and lensing-reconstruction power spectra Schmittfull, Marcel M.; Challinor, Anthony; Hanson, Duncan Physical Review D, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevD.88.063012	journal	September 2013
Likelihood Analysis of CMB Temperature and Polarization Power Spectra Hamimeche, Samira; Lewis, Antony arXiv https://doi.org/10.48550/arxiv.0801.0554	text	January 2008
Measuring the tensor to scalar ratio from CMB B-modes in presence of foregrounds Betoule, Marc; Pierpaoli, E.; Delabrouille, J. arXiv https://doi.org/10.48550/arxiv.0901.1056	text	January 2009
Delensing CMB Polarization with External Datasets Smith, Kendrick M.; Hanson, Duncan; LoVerde, Marilena arXiv https://doi.org/10.48550/arxiv.1010.0048	text	January 2010
Simple foreground cleaning algorithm for detecting primordial B-mode polarization of the cosmic microwave background Katayama, Nobuhiko; Komatsu, Eiichiro arXiv https://doi.org/10.48550/arxiv.1101.5210	text	January 2011
Full-sky lensing reconstruction of gradient and curl modes from CMB maps Namikawa, Toshiya; Yamauchi, Daisuke; Taruya, Atsushi arXiv https://doi.org/10.48550/arxiv.1110.1718	text	January 2011
Bias-Hardened CMB Lensing Namikawa, Toshiya; Hanson, Duncan; Takahashi, Ryuichi arXiv https://doi.org/10.48550/arxiv.1209.0091	text	January 2012
Planck 2013 results. XVI. Cosmological parameters Collaboration, Planck; Ade, P. A. R.; Aghanim, N. arXiv https://doi.org/10.48550/arxiv.1303.5076	text	January 2013
Detection of B-mode Polarization in the Cosmic Microwave Background with Data from the South Pole Telescope Hanson, D.; Hoover, S.; Crites, A. arXiv https://doi.org/10.48550/arxiv.1307.5830	text	January 2013
On the joint analysis of CMB temperature and lensing-reconstruction power spectra Schmittfull, Marcel M.; Challinor, Anthony; Hanson, Duncan arXiv https://doi.org/10.48550/arxiv.1308.0286	text	January 2013
Inflation Physics from the Cosmic Microwave Background and Large Scale Structure Abazajian, K. N.; Arnold, K.; Austermann, J. arXiv https://doi.org/10.48550/arxiv.1309.5381	text	January 2013
Precision Epoch of Reionization studies with next-generation CMB experiments Calabrese, Erminia; Hložek, Renée; Battaglia, Nick arXiv https://doi.org/10.48550/arxiv.1406.4794	text	January 2014
Anisotropic stress as signature of non-standard propagation of gravitational waves Saltas, Ippocratis D.; Sawicki, Ignacy; Amendola, Luca arXiv https://doi.org/10.48550/arxiv.1406.7139	text	January 2014
A Joint Analysis of BICEP2/Keck Array and Planck Data Collaborations, Planck; Ade, P. A. R.; Aghanim, N. arXiv https://doi.org/10.48550/arxiv.1502.00612	text	January 2015
Delensing the CMB with the Cosmic Infrared Background Sherwin, Blake D.; Schmittfull, Marcel arXiv https://doi.org/10.48550/arxiv.1502.05356	text	January 2015
Weak Lensing of the CMB: A Harmonic Approach Hu, Wayne arXiv https://doi.org/10.48550/arxiv.astro-ph/0001303	text	January 2000
Reconstruction of lensing from the cosmic microwave background polarization Hirata, Christopher M.; Seljak, Uros arXiv https://doi.org/10.48550/arxiv.astro-ph/0306354	text	January 2003
Gravitational lensing as a contaminant of the gravity wave signal in CMB Seljak, Uros; Hirata, Christopher M. arXiv https://doi.org/10.48550/arxiv.astro-ph/0310163	text	January 2003
Weak Lensing of the CMB: Sampling Errors on B-Modes Smith, Kendrick M.; Hu, Wayne; Kaplinghat, Manoj arXiv https://doi.org/10.48550/arxiv.astro-ph/0402442	text	January 2004
HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere Gorski, K. M.; Hivon, E.; Banday, A. J. arXiv https://doi.org/10.48550/arxiv.astro-ph/0409513	text	January 2004
Weak Gravitational Lensing of the CMB Lewis, Antony; Challinor, Anthony arXiv https://doi.org/10.48550/arxiv.astro-ph/0601594	text	January 2006
Gravitational Lensing Effect on Cosmic Microwave Background Polarization Zaldarriaga, Matias; Seljak, Uros arXiv https://doi.org/10.48550/arxiv.astro-ph/9803150	text	January 1998
Cosmic Microwave Background Polarization Experiments Zaldarriaga, Matias The Astrophysical Journal, Vol. 503, Issue 1 https://doi.org/10.1086/305987	journal	August 1998
Exact Scale-Invariant Background of Gravitational Waves from Cosmic Defects Figueroa, Daniel G.; Hindmarsh, Mark; Urrestilla, Jon arXiv https://doi.org/10.48550/arxiv.1212.5458	text	January 2012

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