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Tangled, primordial cosmic magnetic fields create small rotational velocity perturbations on the last scattering surface (LSS) of the cosmic microwave background radiation (CMBR). For fields which redshift to a present value of $B_0 =…

Astrophysics · Physics 2009-10-31 T. R. Seshadri , Kandaswamy Subramanian

If inflation was preceded by a radiation era then at the time of inflation there will exist a decoupled thermal distribution of gravitons. Gravitational waves generated during inflation will be amplified by the process of stimulated…

Astrophysics · Physics 2008-11-26 Kaushik Bhattacharya , Subhendra Mohanty , Akhilesh Nautiyal

We show that in theories with a nontrivial kinetic term the contribution of the gravitational waves to the CMB fluctuations can be substantially larger than that is naively expected in simple inflationary models. This increase of the…

Astrophysics · Physics 2014-10-13 V. Mukhanov , A. Vikman

Polarization of the cosmic microwave background (CMB) brings out information not only on the early universe but also on the late-time large-scale structure via weak gravitational lensing. Here, we show that circular polarization is induced…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-19 Yusuke Nishida

The B-mode polarization of the cosmic microwave background (CMB) radiation is an excellent information channel for the detection of relic gravitational waves. However, the detection is contaminated by the B-mode polarization generated by…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-16 Wen Zhao , Mingzhe Li

In the measurements of cosmic microwave background polarizations, three frequency channels are necessary for discriminating the primordial B-modes from the polarized dust and the synchrotron emission. We carry out an optimistic estimate on…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-27 Qing-Guo Huang , Sai Wang

CMB polarization provides a unique window into cosmological inflation; the amplitude of the B-mode polarization from last scattering is uniquely sensitive to the energetics of inflation. However, numerous systematic effects arising from…

Astrophysics · Physics 2009-09-29 Meir Shimon , Brian Keating , Nicolas Ponthieu , Eric Hivon

We summarize the physical mechanism by which the Cosmic Microwave Background acquires a small degree of polarization. We discuss the imprint left by gravitational waves and the use of polarization as a test of the inflationary paradigm. We…

Astrophysics · Physics 2007-05-23 Matias Zaldarriaga

The measurement of B-mode polarization of the cosmic microwave background at large angular scales by the BICEP experiment suggests a stochastic gravitational wave background from early-universe inflation with a surprisingly large amplitude.…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-21 Jerod Caligiuri , Arthur Kosowsky

CMB (Cosmic Microwave Background) polarization observations test many aspects of cosmological models. Effective pseudoscalar-photon interaction(s) would induce a rotation of linear polarization of electromagnetic wave propagating with…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-20 Wei-Tou Ni

Scalar induced gravitational waves contribute to the cosmological gravitational wave background. They can be related to the primordial density power spectrum produced towards the end of inflation and therefore are a convenient new tool to…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-10 Raphael Picard , Karim A. Malik

We present a pedagogical and phenomenological introduction to the study of cosmic microwave background (CMB) polarization to build intuition about the prospects and challenges facing its detection. Thomson scattering of temperature…

Astrophysics · Physics 2009-08-18 Wayne Hu , Martin White

The recent BICEP2 measurement of B-modes in the polarization of the cosmic microwave background suggests that inflation was driven by a field at an energy scale of $2\times 10^{16}$ GeV. I explore the potential of upcoming CMB polarization…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-21 Scott Dodelson

Observations of the Cosmic Microwave Background (CMB) B-mode polarisation provide a unique probe of inflationary physics. Extracting a reliable constraint on the tensor-to-scalar ratio $r$ nonetheless demands stringent suppression of…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-14 Aliza Mustafa , Alessandro Carones , Nicoletta Krachmalnicoff , Marina Migliaccio , Carlo Baccigalupi

At linear order the only expected source of a curl-like, B mode, polarization pattern in the cosmic microwave background (CMB) is primordial gravitational waves. At second-order B modes are also produced from purely scalar, density, initial…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-01 William R. Coulton

The secondary cosmic microwave background (CMB) $B$-modes stem from the post-decoupling distortion of the polarization $E$-modes due to the gravitational lensing effect of large-scale structures. These lensing-induced $B$-modes constitute…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-14 Planck Collaboration , P. A. R. Ade , N. Aghanim , M. Ashdown , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , N. Bartolo , S. Basak , E. Battaner , K. Benabed , A. Benoit-Lévy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. J. Bock , A. Bonaldi , L. Bonavera , J. R. Bond , J. Borrill , F. R. Bouchet , F. Boulanger , C. Burigana , R. C. Butler , E. Calabrese , J. -F. Cardoso , A. Catalano , H. C. Chiang , P. R. Christensen , D. L. Clements , S. Colombi , L. P. L. Colombo , C. Combet , B. P. Crill , A. Curto , F. Cuttaia , L. Danese , R. J. Davis , P. de Bernardis , G. de Zotti , J. Delabrouille , C. Dickinson , J. M. Diego , O. Doré , A. Ducout , X. Dupac , F. Elsner , T. A. Enßlin , H. K. Eriksen , F. Finelli , O. Forni , M. Frailis , A. A. Fraisse , E. Franceschi , S. Galeotta , S. Galli , K. Ganga , T. Ghosh , M. Giard , Y. Giraud-Héraud , E. Gjerløw , J. González-Nuevo , K. M. Górski , A. Gruppuso , J. E. Gudmundsson , D. L. Harrison , C. Hernández-Monteagudo , D. Herranz , S. R. Hildebrandt , A. Hornstrup , W. Hovest , G. Hurier , A. H. Jaffe , W. C. Jones , E. Keihänen , R. Keskitalo , T. S. Kisner , J. Knoche , L. Knox , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lähteenmäki , J. -M. Lamarre , A. Lasenby , M. Lattanzi , R. Leonardi , F. Levrier , P. B. Lilje , M. Linden-Vørnle , M. López-Caniego , P. M. Lubin , J. F. Macías-Pérez , B. Maffei , G. Maggio , D. Maino , N. Mandolesi , A. Mangilli , M. Maris , P. G. Martin , E. Martínez-González , S. Masi , S. Matarrese , P. R. Meinhold , A. Melchiorri , A. Mennella , M. Migliaccio , S. Mitra , M. -A. Miville-Deschênes , A. Moneti , L. Montier , G. Morgante , D. Mortlock , A. Moss , D. Munshi , J. A. Murphy , P. Naselsky , F. Nati , P. Natoli , C. B. Netterfield , H. U. Nørgaard-Nielsen , D. Novikov , I. Novikov , L. Pagano , F. Pajot , D. Paoletti , F. Pasian , G. Patanchon , O. Perdereau , L. Perotto , V. Pettorino , F. Piacentini , M. Piat , E. Pierpaoli , E. Pointecouteau , G. Polenta , G. W. Pratt , J. P. Rachen , M. Reinecke , M. Remazeilles , C. Renault , A. Renzi , I. Ristorcelli , G. Rocha , C. Rosset , M. Rossetti , G. Roudier , J. A. Rubiño-Martín , B. Rusholme , M. Sandri , D. Santos , M. Savelainen , G. Savini , D. Scott , L. D. Spencer , V. Stolyarov , R. Stompor , R. Sudiwala , R. Sunyaev , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Tucci , J. Tuovinen , L. Valenziano , J. Valiviita , B. Van Tent , P. Vielva , F. Villa , L. A. Wade , B. D. Wandelt , I. K. Wehus , D. Yvon , A. Zacchei , A. Zonca

The vector mode of cosmological perturbation theory imprints characteristic signals on the weak lensing signals such as curl- and B-modes which are never imprinted by the scalar mode. However, the vector mode is neglected in the standard…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-14 Shohei Saga , Daisuke Yamauchi , Kiyotomo Ichiki

Primordial gravitational waves generated during inflation lead to the B-mode polarization in the cosmic microwave background and a stochastic gravitational wave background in the Universe. We will explore the current constraint on the tilt…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-28 Jun Li , Zu-Cheng Chen , Qing-Guo Huang

If the B-mode signal in the CMB polarization seen by the BICEP2 experiment is confirmed, it has dramatic implications for models of inflation. The result is also in tension with Planck limits on standard inflationary models. It is therefore…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-20 Camille Bonvin , Ruth Durrer , Roy Maartens