Non-Gaussian structure of the lensed CMB power spectra covariance matrix

被引:54
作者
Benoit-Levy, Aurelien [1 ]
Smith, Kendrick M. [2 ]
Hu, Wayne [3 ]
机构
[1] UPMC CNRS, UMR7095, Inst Astrophys Paris, F-75014 Paris, France
[2] Princeton Univ, Dept Astrophys Sci, Princeton, NJ 08544 USA
[3] Univ Chicago, Kavli Inst Cosmol Phys, Dept Astron & Astrophys, Chicago, IL 60637 USA
来源
PHYSICAL REVIEW D | 2012年 / 86卷 / 12期
基金
美国国家科学基金会;
关键词
MICROWAVE BACKGROUND ANISOTROPIES; MATTER;
D O I
10.1103/PhysRevD.86.123008
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Gravitational lensing of the cosmic microwave background (CMB) encodes cosmological information in the observed anisotropies of temperature and polarization. Accurate extraction of this additional information requires precise modeling of the covariance matrix of the power spectra of observed CMB fields. We introduce a new analytical model to describe the non-Gaussian structure of this covariance matrix and display the importance of second-order terms that were previously neglected. When compared with direct numerical simulations our model captures parameter errors to better than a few percent for cases where the non-Gaussianity causes an order unity degradation in errors. We also provide a detailed comparison between the information content of lensed CMB power spectra and ideal reconstruction of the lensing potential. We illustrate the impact of the non-Gaussian terms in the power spectrum covariance by providing Fisher errors on the sum of the masses of the neutrinos, the dark energy equation of state, and the curvature of the Universe. DOI: 10.1103/PhysRevD.86.123008
引用
收藏
页数:15
相关论文
共 42 条
[1]   Dark energy records in lensed cosmic microwave background [J].
Acquaviva, Viviana ;
Baccigalupi, Carlo .
PHYSICAL REVIEW D, 2006, 74 (10)
[2]   Planck early results. VI. The High Frequency Instrument data processing [J].
Ade, P. A. R. ;
Aghanim, N. ;
Ansari, R. ;
Arnaud, M. ;
Ashdown, M. ;
Aumont, J. ;
Banday, A. J. ;
Bartelmann, M. ;
Bartlett, J. G. ;
Battaner, E. ;
Benabed, K. ;
Benoit, A. ;
Bernard, J. -P. ;
Bersanelli, M. ;
Bock, J. J. ;
Bond, J. R. ;
Borrill, J. ;
Bouchet, F. R. ;
Boulanger, F. ;
Bradshaw, T. ;
Bucher, M. ;
Cardoso, J. -F. ;
Castex, G. ;
Catalano, A. ;
Challinor, A. ;
Chamballu, A. ;
Chary, R. -R. ;
Chen, X. ;
Chiang, C. ;
Church, S. ;
Clements, D. L. ;
Colley, J. -M. ;
Colombi, S. ;
Couchot, F. ;
Coulais, A. ;
Cressiot, C. ;
Crill, B. P. ;
Crook, M. ;
de Bernardis, P. ;
Delabrouille, J. ;
Delouis, J. -M. ;
Desert, F. -X. ;
Dolag, K. ;
Dole, H. ;
Dore, O. ;
Douspis, M. ;
Dunkley, J. ;
Efstathiou, G. ;
Filliard, C. ;
Forni, O. .
ASTRONOMY & ASTROPHYSICS, 2011, 536
[3]   CMB B polarization to map the large-scale structures of the universe -: art. no. 043501 [J].
Benabed, K ;
Bernardeau, F ;
van Waerbeke, L .
PHYSICAL REVIEW D, 2001, 63 (04)
[4]  
Bernardeau F, 1998, ASTRON ASTROPHYS, V338, P767
[5]  
BLANCHARD A, 1987, ASTRON ASTROPHYS, V184, P1
[6]   Lensed CMB power spectra from all-sky correlation functions [J].
Challinor, A ;
Lewis, A .
PHYSICAL REVIEW D, 2005, 71 (10)
[7]   Detection of the Power Spectrum of Cosmic Microwave Background Lensing by the Atacama Cosmology Telescope [J].
Das, Sudeep ;
Sherwin, Blake D. ;
Aguirre, Paula ;
Appel, John W. ;
Bond, J. Richard ;
Sofia Carvalho, C. ;
Devlin, Mark J. ;
Dunkley, Joanna ;
Duenner, Rolando ;
Essinger-Hileman, Thomas ;
Fowler, Joseph W. ;
Hajian, Amir ;
Halpern, Mark ;
Hasselfield, Matthew ;
Hincks, Adam D. ;
Hlozek, Renee ;
Huffenberger, Kevin M. ;
Hughes, John P. ;
Irwin, Kent D. ;
Klein, Jeff ;
Kosowsky, Arthur ;
Lupton, Robert H. ;
Marriage, Tobias A. ;
Marsden, Danica ;
Menanteau, Felipe ;
Moodley, Kavilan ;
Niemack, Michael D. ;
Nolta, Michael R. ;
Page, Lyman A. ;
Parker, Lucas ;
Reese, Erik D. ;
Schmitt, Benjamin L. ;
Sehgal, Neelima ;
Sievers, Jon ;
Spergel, David N. ;
Staggs, Suzanne T. ;
Swetz, Daniel S. ;
Switzer, Eric R. ;
Thornton, Robert ;
Visnjic, Katerina ;
Wollack, Ed .
PHYSICAL REVIEW LETTERS, 2011, 107 (01)
[8]   CMB lensing constraints on neutrinos and dark energy [J].
de Putter, Roland ;
Zahn, Oliver ;
Linder, Eric V. .
PHYSICAL REVIEW D, 2009, 79 (06)
[9]   Reconstructing patchy reionization from the cosmic microwave background [J].
Dvorkin, Cora ;
Smith, Kendrick M. .
PHYSICAL REVIEW D, 2009, 79 (04)
[10]   HEALPix:: A framework for high-resolution discretization and fast analysis of data distributed on the sphere [J].
Górski, KM ;
Hivon, E ;
Banday, AJ ;
Wandelt, BD ;
Hansen, FK ;
Reinecke, M ;
Bartelmann, M .
ASTROPHYSICAL JOURNAL, 2005, 622 (02) :759-771