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We point out that the rotation angle $\beta$ of cosmic birefringence, which is a recently reported parity-violating signal in the cosmic microwave background (CMB), has a phase ambiguity of $n\pi \,(n\in\mathbb{Z})$. This ambiguity has a…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-25 Fumihiro Naokawa , Toshiya Namikawa , Kai Murai , Ippei Obata , Kohei Kamada

We evaluate the large scale polarization of the cosmic microwave background induced, via Thomson scattering prior to decoupling, by nearly scale-invariant spectra of scalar and tensor metric perturbations, such as those predicted by most…

Astrophysics · Physics 2016-08-30 Diego Harari , Matias Zaldarriaga

We provide an update on the work of di Serego Alighieri (2015), focusing on recent developments regarding constraints on Cosmic Polarization Rotation (CPR), also known as Cosmic Birefringence (CB), derived from Cosmic Microwave Background…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-01 Alessandro Gruppuso , Sperello di Serego Alighieri

These lectures introduce some of the basic theory of cosmic microwave background (CMB) polarization with the primary aim of developing the theory of CMB polarization from inflationary gravitational waves, as well as some of the related…

Astrophysics · Physics 2007-05-23 Paolo Cabella , Marc Kamionkowski

The anisotropies of the cosmic microwave background are a gold mine for cosmology and fundamental physics. ESA's Planck satellite should soon extract all information from the temperature vein but will be limited concerning the measurement…

Astrophysics · Physics 2007-05-23 F. R. Bouchet , A. Benoit , Ph. Camus , F. X. Desert , M. Piat , N. Ponthieu

The Cosmic Microwave Background Radiation (CMB) is an invaluable probe of the conditions of the early universe. Recent measurements of its spatial anisotropy have allowed accurate determinations of several fundamental cosmological…

Astrophysics · Physics 2009-09-29 Christopher O'Dell

We review current observational constraints on the polarization of the Cosmic Microwave Background (CMB), with a particular emphasis on detecting the signature of primordial gravitational waves. We present an analytic solution to the…

Astrophysics · Physics 2009-11-11 Brian G. Keating , Alexander G. Polnarev , Nathan J. Miller , Deepak Baskaran

In this paper, we focus our attention on the following question: How well can we recover the power spectrum of the cosmic microwave background from the maps of a given experiment?. Each experiment is described by a a pixelization scale, a…

Astrophysics · Physics 2016-08-15 D. Sáez , J. V. Arnau

Cosmic birefringence (CB) is the rotation of the photons' linear polarisation plane during propagation. Such an effect is a tracer of parity-violating extensions of standard electromagnetism and would probe the existence of a new…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-24 E. de la Hoz , P. Diego-Palazuelos , J. Errard , A. Gruppuso , B. Jost , R. M. Sullivan , M. Bortolami , Y. Chinone , L. T. Hergt , E. Komatsu , Y. Minami , I. Obata , D. Paoletti , D. Scott , P. Vielva , D. Adak , R. Akizawa , A. Anand , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , N. Bartolo , S. Basak , A. Basyrov , M. Bersanelli , T. Brinckmann , F. Cacciotti , E. Calabrese , P. Campeti , E. Carinos , A. Carones , F. Carralot , F. J. Casas , M. Citran , L. Clermont , F. Columbro , G. Coppi , A. Coppolecchia , F. Cuttaia , P. de Bernardis , M. De Lucia , M. De Petris , S. Della Torre , E. Di Giorgi , H. K. Eriksen , E. Ferreira , F. Finelli , C. Franceschet , U. Fuskeland , G. Galloni , M. Galloway , M. Gerbino , M. Gervasi , R. T. Génova-Santos , T. Ghigna , S. Giardiello , C. Gimeno-Amo , E. Gjerløw , M. Hazumi , S. Henrot-Versillé , E. Hivon , H. Ishino , K. Kohri , L. Lamagna , M. Lattanzi , C. Leloup , M. Lembo , F. Levrier , M. López-Caniego , G. Luzzi , E. Martínez-González , S. Masi , S. Matarrese , S. Micheli , M. Migliaccio , M. Monelli , L. Montier , G. Morgante , R. Nagata , T. Namikawa , P. Natoli , A. Occhiuzzi , L. Pagano , A. Paiella , G. Pascual-Cisneros , V. Pavlidou , V. Pelgrims , F. Piacentini , G. Piccirilli , G. Polenta , L. Porcelli , N. Raffuzzi , M. Remazeilles , A. Ritacco , A. Rizzieri , J. A. Rubiño-Martín , M. Ruiz-Granda , Y. Sakurai , J. Sanghavi , M. Shiraishi , S. L. Stever , Y. Takase , K. Tassis , L. Terenzi , M. Tomasi , M. Tristram , L. Vacher , B. van Tent , D. Watts , I. K. Wehus , G. Weymann-Despres , B. Winter , E. J. Wollack , Y. Zhou

Vacuum birefringence is a signature of Lorentz-symmetry violation. Here we report on a recent search for birefringence in the cosmic microwave background. Polarization data is used to place constraints on certain forms of Lorentz violation.

High Energy Physics - Phenomenology · Physics 2016-11-09 Matthew Mewes

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

We present new constraints on the frequency dependence of the cosmic birefringence angle from the Planck data release 4 polarization maps. An axion field coupled to electromagnetism predicts a nearly frequency-independent birefringence…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-10 J. R. Eskilt

The recent high-quality measurements of the Cosmic Microwave Background anisotropies have presented cosmologists with the possibility of studying the large scale properties of our universe with unprecedented precision. Here I review the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alessandro Melchiorri

With polarization of the cosmic microwave background (CMB) now detected, and confirmed by several independent experiments, the next goal is to characterise accurately its statistical properties. In these lecture notes we review the physical…

Astrophysics · Physics 2018-05-02 Anthony Challinor

The B-mode polarization of the cosmic microwave background (CMB) provides a unique window into tensor perturbations from inflationary gravitational waves. Survey effects complicate the estimation and description of the power spectrum on the…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-28 Eric R. Switzer , Duncan J. Watts

Low energy string theory predicts the existence of an axion field which can lead to cosmic birefringence. We solve the electromagnetic wave equations in the presence of such an axion and a dilaton field in order to determine their effect on…

High Energy Physics - Phenomenology · Physics 2009-10-31 Prasanta Das , Pankaj Jain , Sudipta Mukherji

We combine detections of anisotropy in the Cosmic Microwave Background radiation with observations of inhomogeneity in the large-scale distribution of galaxies to test the predictions of models of cosmological structure formation. This…

Astrophysics · Physics 2009-09-25 Eric Gawiser

We report a systematic rotation of the plane of polarization of electromagnetic radiation propagating over cosmological distances. The effect is extracted independently from Faraday rotation, and found to be correlated with the angular…

Astrophysics · Physics 2008-11-26 Borge Nodland , John P. Ralston

We search for signatures of Lorentz and $CPT$ violations in the cosmic microwave background (CMB) temperature and polarization anisotropies by using the WMAP and the 2003 flight of BOOMERANG (B03) data. We note that if the Lorentz and $CPT$…

Astrophysics · Physics 2009-07-09 Bo Feng , Mingzhe Li , Jun-Qing Xia , Xuelei Chen , Xinmin Zhang