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Amongst standard model parameters that are constrained by cosmic microwave background (CMB) observations, the optical depth $\tau$ stands out as a nuisance parameter. While $\tau$ provides some crude limits on reionization, it also degrades…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-23 Adrian Liu , Jonathan R. Pritchard , Rupert Allison , Aaron R. Parsons , Uroš Seljak , Blake D. Sherwin

We present constraints on the reionization optical depth, $\tau$, obtained using several independent methods. First, we perform a non-parametric reconstruction of the reionization history, using Lyman-$\alpha$ constraints on the evolution…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-29 Willem Elbers

We study the possibility of measuring the optical depth at reionization, $\tau$, without relying on large-scale Cosmic Microwave Background (CMB) polarization. Our analysis is driven by the need to obtain competitive measurements that can…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-15 William Giarè , Eleonora Di Valentino , Alessandro Melchiorri

Upcoming measurements of the high-redshift 21 cm signal from the Epoch of Reionization (EoR) are a promising probe of the astrophysics of the first galaxies and of cosmological parameters. In particular, the optical depth $\tau$ to the last…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-29 Tashalee S. Billings , Paul La Plante , James E. Aguirre

As a result of our limited data on reionization, the total optical depth for electron scattering, $\tau$, limits precision measurements of cosmological parameters from the Cosmic Microwave Background (CMB). It was recently shown that the…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-27 Anastasia Fialkov , Abraham Loeb

The standard cosmological model, with its six independent parameters, successfully describes our observable Universe. One of these parameters, the optical depth to reionization $\tau_\mathrm{reio}$, represents the scatterings that Cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-06 Paulo Montero-Camacho , Yin Li , Miles Cranmer

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

The optical depth to reionization, $\tau$, is the least constrained parameter of the cosmological $\Lambda$CDM model. To date, its most precise value is inferred from large-scale polarized CMB power spectra from the ${\it Planck}$…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-10 Kevin Wolz , Nicoletta Krachmalnicoff , Luca Pagano

Recently, it was pointed out that invoking a large value of the CMB optical depth, $\tau_{\rm CMB} = 0.09$, could help resolve tensions between DESI DR2 BAO data and the CMB. This is larger than the value of $\tau_{\rm CMB} = 0.058$…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-23 Christopher Cain , Alexander Van Engelen , Kevin S. Croker , Darby Kramer , Anson D'Aloisio , Garett Lopez

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

We assess the uncertainty with which a balloon-borne experiment, nominally called Tau Surveyor ($\tau S$), can measure the optical depth to reionization $\sigma(\tau)$ with given realistic constraints of instrument noise and foreground…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Josquin Errard , Mathieu Remazeilles , Jonathan Aumont , Jacques Delabrouille , Daniel Green , Shaul Hanany , Brandon S. Hensley , Alan Kogut

We analyze simulated maps of the Cosmology Large Angular Scale Surveyor (CLASS) experiment and recover a nearly cosmic-variance limited estimate of the reionization optical depth $\tau$. We use a power spectrum-based likelihood to…

Current data of high-redshift absorption-line systems imply that hydrogen reionization occurred before redshifts of about 5. Previous works on reionization by the first stars or quasars have shown that such scenarios are described by a…

Astrophysics · Physics 2009-10-31 Aparna Venkatesan

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

Recent studies report a mild discrepancy between baryon acoustic oscillation (BAO) and cosmic microwave background (CMB) measurements within the $\Lambda$CDM framework. This discrepancy could be explained if the optical depth $\tau$…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-15 Yuta Kageura , Masami Ouchi , Fumihiro Naokawa , Hiroya Umeda , Akinori Matsumoto , Yuichi Harikane , Minami Nakane , Tran Thi Thai

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

We study the constraints on reionization from five years of WMAP data, parametrizing the evolution of the average fraction of ionized hydrogen with principal components that provide a complete basis for describing the effects of…

Astrophysics · Physics 2009-11-13 Michael J. Mortonson , Wayne Hu

In light of the recent inference of a high optical depth to Thomson scattering, tau, from the WMAP data we investigate the effects of extended periods of partial ionization and ask if the value of tau inferred by assuming a single sharp…

Astrophysics · Physics 2009-06-15 Gilbert Holder , Zoltan Haiman , Manoj Kaplinghat , Lloyd Knox

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
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