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Using the formalism of spin-weighted functions we present an all-sky analysis of polarization in the Cosmic Microwave Background (CMB). Linear polarization is a second-rank symmetric and traceless tensor, which can be decomposed on a sphere…

Astrophysics · Physics 2009-10-28 Matias Zaldarriaga , Uros Seljak

We develop the formalism necessary to study four-point functions of the cosmic microwave background (CMB) temperature and polarization fields. We determine the general form of CMB trispectra, with the constraints imposed by the assumption…

Astrophysics · Physics 2011-05-12 Takemi Okamoto , Wayne Hu

The curl (B) modes of cosmic microwave background (CMB) polarization anisotropies are a unique probe of the primordial background of inflationary gravitational waves (IGWs). Unfortunately, the B-mode polarization anisotropies generated by…

Astrophysics · Physics 2007-05-23 Kris Sigurdson , Asantha Cooray

Next-generation cosmic microwave background (CMB) surveys are expected to provide valuable information about the primordial universe by creating maps of the mass along the line of sight. Traditional tools for creating these lensing…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-17 Peikai Li , Ipek Ilayda Onur , Scott Dodelson , Shreyas Chaudhari

Weak gravitational lensing changes the angular power spectra of the cosmic microwave background (CMB) temperature and polarization in a characteristic way containing valuable information for cosmological parameter estimation and weak…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Philipp Merkel , Bjoern Malte Schaefer

Cosmological inhomogeneities gravitationally deflect radiation propagating from distant sources, transforming the spatial and angular correlation functions of intrinsic source properties. For a gaussian distribution of deflections (e.g.…

Astrophysics · Physics 2007-05-23 Eric V. Linder

Power spectrum estimation and evaluation of associated errors in the presence of incomplete sky coverage; non-homogeneous, correlated instrumental noise; and foreground emission is a problem of central importance for the extraction of…

Astrophysics · Physics 2016-08-30 J. Jewell , S. Levin , C. H. Anderson

We present algorithms for searching for azimuthally symmetric features in CMB data. Our algorithms are fully optimal for masked all-sky data with inhomogeneous noise, computationally fast, simple to implement, and make no approximations. We…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Stephen Osborne , Leonardo Senatore , Kendrick Smith

Polarization data will soon provide the best avenue for measurements of the CMB lensing potential, although it is potentially sensitive to several instrumental effects including beam asymmetry, polarization angle uncertainties, sky…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-10 Toshiya Namikawa , Ryuichi Takahashi

A great deal of experimental effort is currently being devoted to the precise measurements of the cosmic microwave background (CMB) sky in temperature and polarisation. Satellites, balloon-borne, and ground-based experiments scrutinize the…

The CMB Stage 4 (CMB-S4) experiment is a next-generation, ground-based experiment that will measure the cosmic microwave background (CMB) polarization to unprecedented accuracy, probing the signature of inflation, the nature of cosmic…

From CMB polarization data alone we reconstruct the CMB lensing power spectrum, comparable in overall constraining power to previous temperature-based reconstructions, and an unlensed E-mode power spectrum. The observations, taken in 2019…

Modelling of the weak lensing of the CMB will be crucial to obtain correct cosmological parameter constraints from forthcoming precision CMB anisotropy observations. The lensing affects the power spectrum as well as inducing…

Astrophysics · Physics 2010-11-17 Antony Lewis

We develop a Feynman diagram approach to calculating correlations of the Cosmic Microwave Background (CMB) in the presence of distortions. As one application, we focus on CMB distortions due to gravitational lensing by Large Scale Structure…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Elizabeth E. Jenkins , Aneesh V. Manohar , Wouter J. Waalewijn , Amit P. S. Yadav

We estimate the efficiency of mitigating the lensing $B$-mode polarization, the so-called delensing, for the $LiteBIRD$ experiment with multiple external data sets of lensing-mass tracers. The current best bound on the tensor-to-scalar…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-30 T. Namikawa , A. I. Lonappan , C. Baccigalupi , N. Bartolo , D. Beck , K. Benabed , A. Challinor , P. Diego-Palazuelos , J. Errard , S. Farrens , A. Gruppuso , N. Krachmalnicoff , M. Migliaccio , E. Martínez-González , V. Pettorino , G. Piccirilli , M. Ruiz-Granda , B. Sherwin , J. Starck , P. Vielva , R. Akizawa , A. Anand , J. Aumont , R. Aurlien , S. Azzoni , M. Ballardini , A. J. Banday , R. B. Barreiro , M. Bersanelli , D. Blinov , M. Bortolami , T. Brinckmann , E. Calabrese , P. Campeti , A. Carones , F. Carralot , F. J. Casas , K. Cheung , L. Clermont , F. Columbro , G. Conenna , A. Coppolecchia , F. Cuttaia , G. D'Alessandro , P. de Bernardis , T. de Haan , M. De Petris , S. Della Torre , E. Di Giorgi , H. K. Eriksen , F. Finelli , C. Franceschet , U. Fuskeland , G. Galloni , M. Galloway , M. Georges , M. Gerbino , M. Gervasi , T. Ghigna , S. Giardiello , C. Gimeno-Amo , E. Gjerløw , M. Hazumi , S. Henrot-Versillé , L. T. Hergt , E. Hivon , K. Kohri , E. Komatsu , L. Lamagna , M. Lattanzi , C. Leloup , M. Lembo , M. López-Caniego , G. Luzzi , B. Maffei , S. Masi , M. Massa , S. Matarrese , T. Matsumura , S. Micheli , A. Moggi , M. Monelli , L. Montier , G. Morgante , B. Mot , L. Mousset , R. Nagata , P. Natoli , A. Novelli , I. Obata , A. Occhiuzzi , L. Pagano , A. Paiella , D. Paoletti , G. Pascual-Cisneros , V. Pavlidou , F. Piacentini , M. Pinchera , G. Pisano , G. Polenta , G. Puglisi , M. Remazeilles , A. Ritacco , A. Rizzieri , J. Rubino-Martin , Y. Sakurai , D. Scott , M. Shiraishi , G. Signorelli , S. L. Stever , Y. Takase , H. Tanimura , A. Tartari , K. Tassis , L. Terenzi , M. Tristram , L. Vacher , B. van Tent , I. K. Wehus , G. Weymann-Despres , M. Zannoni , Y. Zhou

Gravitational lensing of the cosmic microwave background (CMB), a long-standing prediction of the standard cosmolgical model, is ultimately expected to be an important source of cosmological information, but first detection has not been…

Astrophysics · Physics 2008-12-18 Kendrick M. Smith , Oliver Zahn , Olivier Dore

We study the effects of gravitational lensing on the estimation of non-Gaussianity from the bispectrum of the cosmic microwave background (CMB) temperature anisotropies. We find that the effect of lensing on the bispectrum may qualitatively…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-21 Duncan Hanson , Kendrick M. Smith , Anthony Challinor , Michele Liguori

We investigate early dark energy models in the context of the lensing anomaly by considering two different Cosmic Microwave Background (CMB) datasets: a complete Planck, and a second one primarily based on SPTPol and Planck temperature…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-20 Balakrishna S. Haridasu , Hasti Khoraminezhad , Matteo Viel

Mechanisms have been proposed that might rotate the linear polarization of the cosmic microwave background (CMB) as it propagates from the surface of last scatter. In the simplest scenario, the rotation will be uniform across the sky, but…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-02 Vera Gluscevic , Marc Kamionkowski , Asantha Cooray

The B-mode polarisation power spectrum in the Cosmic Microwave Background (CMB) is about four orders of magnitude fainter than the CMB temperature power spectrum. Any instrumental imperfections that couple temperature fluctuations to B-mode…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-18 Christopher G. R. Wallis , Michael L. Brown , Richard A. Battye , Jacques Delabrouille
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