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We show that the earliest possible reionisation of the Universe is approximately at $z\simeq 13.5$ and the optical depth is $\tau\simeq 0.17$ in the conventionally accepted $\Lambda$ cold dark matter ($\Lambda$CDM) model with adiabatic…

Astrophysics · Physics 2009-11-07 M. Fukugita , M. Kawasaki

The Thomson scattering optical depth to reionisation, $\tau$, one of the six parameters of the $\Lambda$CDM model, is primarily constrained by the large-scale E-mode polarisation of the Cosmic Microwave Background (CMB). In this work, we…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-25 Valentina Genesini , Giacomo Galloni , Luca Pagano , Paolo Campeti , Massimiliano Lattanzi

We use a compilation of cosmic microwave anisotropy data to constrain the epoch of reionization in the Universe, as a function of cosmological parameters. We consider spatially-flat cosmologies, varying the matter density $\Omega_0$ (the…

Astrophysics · Physics 2009-10-31 Louise M Griffiths , Domingos Barbosa , Andrew R Liddle

We investigate the effect of patchy reionization on the cosmic microwave background temperature. An anisotropic optical depth tau (theta) alters the TT power spectrum on small scales l > 2000. We make use of the correlation between the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Aravind Natarajan , Nick Battaglia , Hy Trac , Ue Li Pen , Abraham Loeb

We present a summary of recent constraints on the value of the fine-structure constant at the epoch of decoupling from the recent observations made by the Wilkinson Microwave Anisotropy Probe (WMAP) satellite. Within the set of models…

Astrophysics · Physics 2008-11-26 G. Rocha , R. Trotta , C. J. A. P. Martins , A. Melchiorri , P. P. Avelino , P. T. P. Viana

I describe briefly the Cosmic Microwave Background (hereafter CMB) physics which explains why high accuracy observations of its spatial structure are a unique observational tool both for the determination of the global cosmological…

Astrophysics · Physics 2007-05-23 Francois R. Bouchet

We discuss upcoming opportunities with cosmic microwave background (CMB) observations during the post-WMAP era. The curl-modes of CMB polarization probe inflationary gravitational waves (IGWs). While a significant source of confusion is…

Astrophysics · Physics 2007-05-23 Asantha Cooray

We investigate constraints on cosmic reionization extracted from the Planck cosmic microwave background (CMB) data. We combine the Planck CMB anisotropy data in temperature with the low-multipole polarization data to fit LCDM models with…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-14 Planck Collaboration , R. Adam , N. Aghanim , M. Ashdown , J. Aumont , C. Baccigalupi , M. Ballardini , A. J. Banday , R. B. Barreiro , N. Bartolo , S. Basak , R. Battye , K. Benabed , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. J. Bock , A. Bonaldi , L. Bonavera , J. R. Bond , J. Borrill , F. R. Bouchet , M. Bucher , C. Burigana , E. Calabrese , J. -F. Cardoso , J. Carron , H. C. Chiang , L. P. L. Colombo , C. Combet , B. Comis , A. Coulais , B. P. Crill , A. Curto , F. Cuttaia , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , J. Delabrouille , E. Di Valentino , C. Dickinson , J. M. Diego , O. Doré , M. Douspis , A. Ducout , X. Dupac , F. Elsner , T. A. Enßlin , H. K. Eriksen , E. Falgarone , Y. Fantaye , F. Finelli , F. Forastieri , M. Frailis , A. A. Fraisse , E. Franceschi , A. Frolov , S. Galeotta , S. Galli , K. Ganga , R. T. Génova-Santos , M. Gerbino , T. Ghosh , J. González-Nuevo , K. M. Górski , A. Gruppuso , J. E. Gudmundsson , F. K. Hansen , G. Helou , S. Henrot-Versillé , D. Herranz , E. Hivon , Z. Huang , S. Ili_ , A. H. Jaffe , W. C. Jones , E. Keihänen , R. Keskitalo , T. S. Kisner , L. Knox , N. Krachmalnicoff , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lähteenmäki , J. -M. Lamarre , M. Langer , A. Lasenby , M. Lattanzi , C. R. Lawrence , M. Le Jeune , F. Levrier , A. Lewis , M. Liguori , P. B. Lilje , M. López-Caniego , Y. -Z. Ma , J. F. Macías-Pérez , G. Maggio , A. Mangilli , M. Maris , P. G. Martin , E. Martínez-González , S. Matarrese , N. Mauri , J. D. McEwen , P. R. Meinhold , A. Melchiorri , A. Mennella , M. Migliaccio , M. -A. Miville-Deschênes , D. Molinari , A. Moneti , L. Montier , G. Morgante , A. Moss , P. Naselsky , P. Natoli , C. A. Oxborrow , L. Pagano , D. Paoletti , B. Partridge , G. Patanchon , L. Patrizii , O. Perdereau , L. Perotto , V. Pettorino , F. Piacentini , S. Plaszczynski , L. Polastri , G. Polenta , J. -L. Puget , J. P. Rachen , B. Racine , M. Reinecke , M. Remazeilles , A. Renzi , G. Rocha , M. Rossetti , G. Roudier , J. A. Rubiño-Martín , B. Ruiz-Granados , L. Salvati , M. Sandri , M. Savelainen , D. Scott , G. Sirri , R. Sunyaev , A. -S. Suur-Uski , J. A. Tauber , M. Tenti , L. Toffolatti , M. Tomasi , M. Tristram , T. Trombetti , J. Valiviita , F. Van Tent , P. Vielva , F. Villa , N. Vittorio , B. D. Wandelt , I. K. Wehus , M. White , A. Zacchei , A. Zonca

With a simple power-law approximation of high-redshift ($\gtrsim3.5$) star formation history, i.e., $\dot{\rho}_*(z)\propto [(1+z)/4.5]^{-\alpha}$, we investigate the reionization of intergalactic medium (IGM) and the consequent Thomson…

Cosmology and Nongalactic Astrophysics · Physics 2012-08-07 Yun-Wei Yu , K. S. Cheng , M. C. Chu , S. Yeung

We consider the effectiveness of foreground cleaning in the recovery of Cosmic Microwave Background (CMB) polarization sourced by gravitational waves for tensor-to-scalar ratios in the range $0<r<0.1$. Using the planned survey area,…

The Wilkinson Microwave Anisotropy Probe (WMAP) experiment has detected reionization at the $5.5 \sigma$ level and has reported a mean optical depth of $0.088 \pm 0.015$. A powerful probe of reionization is the large-angle $EE$ polarization…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Aravind Natarajan , Dominik J. Schwarz

We present constraints on the patchy reionization by measuring the trispectrum of the Planck 2015 cosmic microwave background (CMB) temperature anisotropies. The patchy reionization leads to anisotropies in the CMB optical depth, and the…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-14 Toshiya Namikawa

On large angular scales, the polarization of the CMB contains information about the evolution of the average ionization during the epoch of reionization. Interpretation of the polarization spectrum usually requires the assumption of a fixed…

Astrophysics · Physics 2010-11-11 Michael J. Mortonson , Wayne Hu

We propose a new reionization probe that uses cosmic microwave background (CMB) observations; the cross-correlation between fluctuations in the CMB optical depth which probes the integrated electron density, $\delta\tau$, and the Compton…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-15 Toshiya Namikawa , Anirban Roy , Blake D. Sherwin , Nicholas Battaglia , David N. Spergel

We investigate two sets of two-epoched reionization models and their manifestation in the CMB anisotropy and polarization data of the recent WMAP project and make some predictions for the future PLANCK missions. In the first set of models,…

Astrophysics · Physics 2009-11-07 Pavel Naselsky , Lung-Yih Chiang

The low quadrupole of the cosmic microwave background (CMB), measured by COBE and confirmed by WMAP, has generated much discussion recently. We point out that the well-known correlation between temperature and polarization anisotropies of…

Astrophysics · Physics 2009-06-15 Olivier Doré , Gilbert P. Holder , Abraham Loeb

Damping of magnetic fields via ambipolar diffusion and decay of magnetohydrodynamical (MHD) turbulence in the post decoupling era heats the intergalactic medium (IGM). Delayed recombination of hydrogen atoms in the IGM yields an optical…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-26 Kerstin E. Kunze , Eiichiro Komatsu

We present a detailed analysis of present and future Cosmic Microwave Background constraints of the value of the fine-structure constant, $\alpha$. We carry out a more detailed analysis of the WMAP first-year data, deriving state-of-the-art…

We present constraints on cosmological and star formation parameters based on combining observations of the Wilkinson Microwave Anisotropy Probe (WMAP) and high-redshift quasars from the Sloan Digital Sky Survey (SDSS). We use a…

Astrophysics · Physics 2009-11-07 Weihsueh A. Chiu , Xiaohui Fan , Jeremiah P. Ostriker

We constrain the history of reionization using the data from Planck 2015 Cosmic Microwave Background (CMB) temperature and polarization anisotropy observations. We also use prior constraints on the reionization history at redshifts…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-13 Dhiraj Kumar Hazra , George F. Smoot