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We propose a novel bias-free method for reconstructing the power spectrum of the weak lensing deflection field from cosmic microwave background (CMB) observations. The proposed method is in contrast to the standard method of CMB lensing…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-30 Blake D. Sherwin , Sudeep Das

CMB data analysis is in general done through two main steps : map-making of the time data streams and power spectrum extraction from the maps. The latter basically consists in the separation between the variance of the CMB and that of the…

Astrophysics · Physics 2007-05-23 J. -Ch. Hamilton

We consider the shape of the likelihood and posterior surfaces to be used when fitting cosmological models to CMB temperature and polarisation power spectra measured from experiments. In the limit of an all-sky survey with Gaussian…

Astrophysics · Physics 2009-11-11 Will J. Percival , Michael L. Brown

Measuring the primordial matter power spectrum is our primary means of probing unknown physics in the very early universe. We allow the primordial power spectrum to be an arbitrary function, and parametrize it in terms of wavelet band…

Astrophysics · Physics 2009-11-07 Pia Mukherjee , Yun Wang

A new generation of instruments will reveal the microwave sky at high resolution. We focus on one of these, the Atacama Cosmology Telescope, which probes scales 1000<l<10000, where both primary and secondary anisotropies are important.…

Astrophysics · Physics 2009-11-10 Kevin M. Huffenberger , Uros Seljak

Future experiments will produce high-resolution temperature maps of the cosmic microwave background (CMB) and are expected to reveal the signature of gravitational lensing by intervening large-scale structures. We construct all-sky…

Astrophysics · Physics 2009-11-07 Christopher M. Hirata , Uros Seljak

We discuss the applicability and derivation of window functions for cosmic microwave background experiments on large and intermediate angular scales. These window functions describe the response of the experiment to power in a particular…

Astrophysics · Physics 2008-11-26 Martin White , Mark Srednicki

We present Xspect, a method to obtain estimates of the angular power spectrum of the Cosmic Microwave Background (CMB) temperature anisotropies including analytical error bars developed for the Archeops experiment. Cross-power spectra are…

Astrophysics · Physics 2009-11-10 M. Tristram , J. F. Macias-Perez , C. Renault , D. Santos

Poisson distributed shot noise is normally considered in the Gaussian limit in cosmology. However, if the shot noise is large enough and the correlation function/power spectrum conspires, the Gaussian approximation mis-estimates the errors…

Astrophysics · Physics 2009-01-23 J. D. Cohn

We present an analytic approach to the estimation of beam asymmetry effects in CMB temperature and linear polarization anisotropy experiments. We derive via perturbative expansions simple and accurate results for the case of an elliptical…

Astrophysics · Physics 2009-11-06 P. Fosalba , O. Doré , F. R. Bouchet

The power spectrum of weak lensing fluctuations has a non-Gaussian distribution due to its quadratic nature. On small scales the Central Limit Theorem acts to Gaussianize this distribution but non-Gaussianity in the signal due to…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-29 Alex Hall , Andy Taylor

The power spectrum of fluctuations in the momentum distributions of particles have been estimated with optical Glauber and Monte-Carlo Glauber initial conditions for relativistic heavy ion collisions. The evaluation procedure adopted in…

Nuclear Theory · Physics 2018-02-16 Golam Sarwar , Sushant K. Singh , Jan-e Alam

I describe a method to estimate response matrices of Cosmic Microwave Background (CMB) lensing power spectra estimators to the true sky power under realistic conditions. Applicable to all lensing reconstruction pipelines based on quadratic…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-08 Julien Carron

The purpose of this paper is to study metrics suitable for assessing uncertainty of power spectra when these are based on finite second-order statistics. The family of power spectra which is consistent with a given range of values for the…

Systems and Control · Computer Science 2015-03-20 Johan Karlsson , Tryphon T. Georgiou

Observed CMB anisotropies are lensed, and the lensed power spectra can be calculated accurately assuming the lensing deflections are Gaussian. However, the lensing deflections are actually slightly non-Gaussian due to both non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-12 Antony Lewis , Geraint Pratten

Unprecedentedly precise cosmic microwave background (CMB) data are expected from ongoing and near-future CMB Stage-III and IV surveys, which will yield reconstructed CMB lensing maps with effective resolution approaching several arcminutes.…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-09 Jia Liu , J. Colin Hill , Blake D. Sherwin , Andrea Petri , Vanessa Böhm , Zoltán Haiman

We present the Planck likelihood, a complete statistical description of the two-point correlation function of the CMB temperature fluctuations. We use this likelihood to derive the Planck CMB power spectrum over three decades in l, covering…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-29 Planck collaboration , P. A. R. Ade , N. Aghanim , C. Armitage-Caplan , M. Arnaud , M. Ashdown , F. Atrio-Barandela , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , J. G. Bartlett , E. Battaner , K. Benabed , A. Benoit , A. Benoit-Levy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. Bobin , J. J. Bock , A. Bonaldi , L. Bonavera , J. R. Bond , J. Borrill , F. R. Bouchet , F. Boulanger , M. Bridges , M. Bucher , C. Burigana , R. C. Butler , E. Calabrese , J. -F. Cardoso , A. Catalano , A. Challinor , A. Chamballu , L. -Y Chiang , H. C. Chiang , P. R. Christensen , S. Church , D. L. Clements , S. Colombi , L. P. L. Colombo , C. Combet , F. Couchot , A. Coulais , B. P. Crill , A. Curto , F. Cuttaia , L. Danese , R. D. Davies , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , J. Delabrouille , J. -M. Delouis , F. -X. Desert , C. Dickinson , J. M. Diego , H. Dole , S. Donzelli , O. Dore , M. Douspis , J. Dunkley , X. Dupac , G. Efstathiou , F. Elsner , T. A. Ensslin , H. K. Eriksen , F. Finelli , O. Forni , M. Frailis , A. A. Fraisse , E. Franceschi , T. C. Gaier , S. Galeotta , S. Galli , K. Ganga , M. Giard , G. Giardino , Y. Giraud-Heraud , E. Gjerlow , J. Gonzalez-Nuevo , K. M. Gorski , S. Gratton , A. Gregorio , A. Gruppuso , J. E. Gudmundsson , F. K. Hansen , D. Hanson , D. Harrison , G. Helou , S. Henrot-Versille , C. Hernandez-Monteagudo , D. Herranz , S. R. Hildebrandt , E. Hivon , M. Hobson , W. A. Holmes , A. Hornstrup , W. Hovest , K. M. Huffenberger , G. Hurier , T. R. Jaffe , A. H. Jaffe , J. Jewell , W. C. Jones , M. Juvela , E. Keihanen , R. Keskitalo , K. Kiiveri , T. S. Kisner , R. Kneissl , J. Knoche , L. Knox , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lahteenmaki , J. -M. Lamarre , A. Lasenby , M. Lattanzi , R. J. Laureijs , C. R. Lawrence , M. Le Jeune , S. Leach , J. P. Leahy , R. Leonardi , J. Leon-Tavares , J. Lesgourgues , M. Liguori , P. B. Lilje , V. Lindholm , M. Linden-Vornle , M. Lopez-Caniego , P. M. Lubin , J. F. Macias-Perez , B. Maffei , D. Maino , N. Mandolesi , D. Marinucci , M. Maris , D. J. Marshall , P. G. Martin , E. Martinez-Gonzalez , S. Masi , S. Matarrese , F. Matthai , P. Mazzotta , P. R. Meinhold , A. Melchiorri , L. Mendes , E. Menegoni , A. Mennella , M. Migliaccio , M. Millea , S. Mitra , M. -A. Miville-Deschenes , D. Molinari , A. Moneti , L. Montier , G. Morgante , D. Mortlock , A. Moss , D. Munshi , P. Naselsky , F. Nati , P. Natoli , C. B. Netterfield , H. U. Norgaard-Nielsen , F. Noviello , D. Novikov , I. Novikov , I. J. O'Dwyer , F. Orieux , S. Osborne , C. A. Oxborrow , F. Paci , L. Pagano , F. Pajot , R. Paladini , D. Paoletti , B. Partridge , F. Pasian , G. Patanchon , P. Paykari , O. Perdereau , L. Perotto , F. Perrotta , F. Piacentini , M. Piat , E. Pierpaoli , D. Pietrobon , S. Plaszczynski , E. Pointecouteau , G. Polenta , N. Ponthieu , L. Popa , T. Poutanen , G. W. Pratt , G. Prezeau , S. Prunet , J. -L. Puget , J. P. Rachen , A. Rahlin , R. Rebolo , M. Reinecke , M. Remazeilles , C. Renault , S. Ricciardi , T. Riller , C. Ringeval , I. Ristorcelli , G. Rocha , C. Rosset , G. Roudier , M. Rowan-Robinson , J. A. Rubino-Martin , B. Rusholme , M. Sandri , L. Sanselme , D. Santos , G. Savini , D. Scott , M. D. Seiffert , E. P. S. Shellard , L. D. Spencer , J. -L. Starck , V. Stolyarov , R. Stompor , R. Sudiwala , F. Sureau , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , D. Tavagnacco , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Tucci , J. Tuovinen , M. Turler , L. Valenziano , J. Valiviita , B. Van Tent , J. Varis , P. Vielva , F. Villa , N. Vittorio , L. A. Wade , B. D. Wandelt , I. K. Wehus , M. White , S. D. M. White , D. Yvon , A. Zacchei , A. Zonca

The power spectrum of mass density fluctuations is evaluated from the Mark III and the SFI catalogs of peculiar velocities by a maximum likelihood analysis, using parametric models for the power spectrum and for the errors. The applications…

Astrophysics · Physics 2007-05-23 Idit Zehavi , Avishai Dekel

The Cosmic Microwave Background Radiation (CMBR) holds information about almost all the fundamental cosmological parameters, and by performing a likelihood analysis of high precision CMBR fluctuation data, these parameters can be inferred.…

Astrophysics · Physics 2009-10-31 Steen Hannestad

The cosmic microwave background (CMB) power spectrum is a powerful cosmological probe as it entails almost all the statistical information of the CMB perturbations. Having access to only one sky, the CMB power spectrum measured by our…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-23 P. Paykari , J. L. Starck , M. J. Fadili
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