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We explore the fundamental limits to which reionization histories can be constrained using only large-scale cosmic microwave background (CMB) anisotropy measurements. The redshift distribution of the fractional ionization $x_e(z)$ affects…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-31 D. J. Watts , G. E. Addison , C. L. Bennett , J. L. Weiland

The first-year WMAP data release showed that the reionization optical depth to CMB photons is greater than previously thought. This follows from unexpectedly high values of the C^TE_l spectrum, for l up to ~30, presumably allowing a…

Astrophysics · Physics 2009-11-10 Loris PL Colombo

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

We examine the constraints on the epoch of reionization (redshift z_r) set by recent WMAP-3 observations of tau_e = 0.09 +/- 0.03, the electron-scattering optical depth of the cosmic microwave background (CMB), combined with models of…

Astrophysics · Physics 2007-05-23 Michael Shull , Aparna Venkatesan

We introduce a new statistical technique for extracting the inhomogeneous reionization signal from future high-sensitivity measurements of the cosmic microwave background temperature and polarization fields. If reionization is…

Astrophysics · Physics 2009-02-10 Cora Dvorkin , Kendrick M. Smith

The reionization optical depth is the most poorly determined of the six $\Lambda$CDM parameters fit to CMB anisotropy data. Instrumental noise and systematics have prevented uncertainties from reaching their cosmic variance limit. At…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-09 J. L. Weiland , K. Osumi , G. E. Addison , C. L. Bennett , D. J. Watts , M. Halpern , G. Hinshaw

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

The reionization optical depth $\tau_{\rm reio}$ has interesting connections to existing cosmological anomalies. As first studied in the context of the Hubble tension in our previous paper, a larger $\tau_{\rm reio}$, which could be…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-12 Itamar J. Allali , Lingfeng Li , Praniti Singh , JiJi Fan

Patchy reionization couples the ionized-bubble morphology to the underlying density field, making the CMB Thomson optical depth sensitive to both the global ionization history and anisotropic fluctuations on the sky. Using the large-volume…

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

Massive neutrinos modify the expansion history of the universe and suppress the structure formation below their free streaming scale. Cosmic microwave background (CMB) observations at small angular scales can be used to constrain the total…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-15 Gali Shmueli , Debanjan Sarkar , Ely D. Kovetz

We present the first constraints on the electron optical depth to reionization, $\tau_{\mathrm{e}}$, from the Lyman-$\alpha$ forest alone for physically motivated reionization models that match the reionization's end-point, $z_{\rm{end}}$,…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-02 Olga Garcia-Gallego , Vid Iršič , Martin G. Haehnelt , James S. Bolton

Inhomogeneous reionization gives rise to angular fluctuations in the Cosmic Microwave Background (CMB) optical depth tau(n) to the last scattering surface, correlating different spherical harmonic modes and imprinting characteristic…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-24 Meng Su , Amit P. S. Yadav , Matthew McQuinn , Jaiyul Yoo , Matias Zaldarriaga

Patchy reionization leaves a number of imprints on the small-scale cosmic microwave background (CMB) temperature fluctuations, the largest of which is the kinematic Sunyaev-Zel'dovich (kSZ), the Doppler shift of CMB photons scattering off…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-26 Simone Ferraro , Kendrick M. Smith

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,…

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

This paper focuses on cosmological constraints derived from analysis of WMAP data alone. A simple LCDM cosmological model fits the five-year WMAP temperature and polarization data. The basic parameters of the model are consistent with the…

Improved measurement of the Cosmic Microwave Background polarization from Planck allows a detailed study of reionization beyond the average optical depth. The lower value of the optical depth disfavours an early onset and an early…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-13 Daniela Paoletti , Dhiraj Kumar Hazra , Fabio Finelli , George F. Smoot

This paper describes the identification, modelling, and removal of previously unexplained systematic effects in the polarization data of the Planck High Frequency Instrument (HFI) on large angular scales, including new mapmaking and…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-14 Planck Collaboration , 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 , F. Boulanger , M. Bucher , C. Burigana , R. C. Butler , E. Calabrese , J. -F. Cardoso , J. Carron , A. Challinor , 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 , J. -M. Delouis , E. Di Valentino , C. Dickinson , J. M. Diego , O. Doré , M. Douspis , A. Ducout , X. Dupac , G. Efstathiou , 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 , S. Gratton , A. Gruppuso , J. E. Gudmundsson , F. K. Hansen , G. Helou , S. Henrot-Versillé , D. Herranz , E. Hivon , Z. Huang , S. Ilic , A. H. Jaffe , W. C. Jones , E. Keihänen , R. Keskitalo , T. S. Kisner , L. Knox , N. Krachmalnicoff , M. Kunz , H. Kurki-Suonio , G. Lagache , J. -M. Lamarre , M. Langer , A. Lasenby , M. Lattanzi , C. R. Lawrence , M. Le Jeune , J. P. Leahy , F. Levrier , 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 , S. Mottet , 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 , L. Vibert , P. Vielva , F. Villa , N. Vittorio , B. D. Wandelt , R. Watson , I. K. Wehus , M. White , A. Zacchei , A. Zonca

Neutral hydrogen around high-z QSO and an optical depth tau ~ 0.17 can be reconciled if reionization is more complex than a single transition at z ~ 6-8. Tracing its details could shed a new light on the first sources of radiation. Here we…