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Quadratic methods with heuristic weighting (e.g. pseudo-C_l or correlation function methods) represent an efficient way to estimate power spectra of the cosmic microwave background (CMB) anisotropies and their polarization. We construct the…

Astrophysics · Physics 2008-11-26 Anthony Challinor , Gayoung Chon

We develop the framework of Linear Simulation-based Inference (LSBI), an application of simulation-based inference where the likelihood is approximated by a Gaussian linear function of its parameters. We obtain analytical expressions for…

Instrumentation and Methods for Astrophysics · Physics 2025-01-08 Nicolas Mediato-Diaz , Will Handley

The Cosmic Microwave Background (CMB) fluctuations at very small angular scales (less than $10'$) induced by matter sources are computed in a simplified way. The result corrects a previous formula appearing in the literature. The small…

Astrophysics · Physics 2011-05-10 Mark Hindmarsh

Large scale structure deflects cosmic microwave background (CMB) photons. Since large angular scales in the large scale structure contribute significantly to the gravitational lensing effect, a realistic simulation of CMB lensing requires a…

Astrophysics · Physics 2009-11-13 Sudeep Das , Paul Bode

Many analyses of microwave background experiments neglect the correlation of noise in different frequency or polarization channels. We show that these correlations, should they be present, can lead to severe misinterpretation of an…

Astrophysics · Physics 2009-10-22 Scott Dodelson , Arthur Kosowsky , Steven T. Myers

I calculate a hybrid cross-power spectrum estimator from the WMAP 5-year CMB temperature maps, discuss the goodness of fit, and then constrain cosmological parameters. The spectrum and results are generally consistent with previous results,…

Astrophysics · Physics 2017-08-07 Antony Lewis

The power spectrum of fluctuations in the cosmic microwave background (CMB) depends on most of the key cosmological parameters. Accurate future measurements of this power spectrum might therefore allow us to determine h, Omega, Omega_b,…

Astrophysics · Physics 2007-05-23 Max Tegmark

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

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

We present a new limit on the cosmological constant based on the absence of correlations between the cosmic microwave background (CMB) and the distribution of distant radio sources. In the cosmological constant-cold dark matter models…

Astrophysics · Physics 2009-11-07 S. P. Boughn , R. G. Crittenden

Cross-correlating the lensing signals of galaxies and comic microwave background (CMB) fluctuations is expected to provide valuable cosmological information. In particular it may help tighten constraints on parameters describing the…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-14 Philipp M. Merkel , Bjoern Malte Schaefer

We present robust constraints on the stochastic gravitational waves (GWs) at Mpc scales from the cosmic microwave background (CMB) data. CMB constraints on GWs are usually characterized as the tensor-to-scalar ratio, assuming specifically a…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-24 Toshiya Namikawa , Shohei Saga , Daisuke Yamauchi , Atsushi Taruya

We extend a general maximum likelihood foreground estimation for cosmic microwave background polarization data to include estimation of instrumental systematic effects. We focus on two particular effects: frequency band measurement…

Instrumentation and Methods for Astrophysics · Physics 2016-01-21 Chaoyun Bao , Carlo Baccigalupi , Ben Gold , Shaul Hanany , Andrew Jaffe , Radek Stompor

We find statistically significant correlations in the cosmological matter power spectrum over the full range of observable scales. While the correlations between individual modes are weak, the band-averaged power spectrum shows strong…

Astrophysics · Physics 2009-10-31 A. Meiksin , Martin White

The cosmic microwave background (CMB) contains perturbations that are close to Gaussian and isotropic. This means that its information content, in the sense of the ability to constrain cosmological models, is closely related to the number…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-06 Douglas Scott , Dagoberto Contreras , Ali Narimani , Yin-Zhe Ma

The current suite of results from Cosmic Microwave Background anisotropy experiments is fulfilling the promise of providing extraordinary levels of discrimination between cosmological models. We calculate a binned anisotropy power spectrum,…

Astrophysics · Physics 2007-05-23 Elena Pierpaoli , Douglas Scott , Martin White

We improve the algorithm of Kosowsky, Milosavljevic, and Jimenez (2002) for computing power spectra of the cosmic microwave background. The present algorithm computes not only the temperature power spectrum but also the E-mode polarization…

Astrophysics · Physics 2009-11-10 Raul Jimenez , Licia Verde , Hiranya Peiris , Arthur Kosowsky

The cosmic microwave background (CMB) offers a unique window into the early universe, providing insights into cosmological parameters like the Hubble constant. Recent precise measurements of the CMB by experiments like Planck seem to point…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-26 Pablo Lemos , Paul Shah

The angular power spectrum of the cosmic microwave background (CMB) contains information on virtually all cosmological parameters of interest, including the geometry of the Universe ($\Omega$), the baryon density, the Hubble constant ($h$),…

Astrophysics · Physics 2009-10-28 Gerard Jungman , Marc Kamionkowski , Arthur Kosowsky , David N. Spergel

The Cosmic Microwave Background (CMB) provides a precious window on fundamental physics at very high energy scales, possibly including quantum gravity, GUTs and supersymmetry. The CMB has already enabled defect-based rivals to inflation to…

Astrophysics · Physics 2009-09-11 John Ellis