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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

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

In this paper, we explore the constraints on the reionization history that are provided by current observations of the Lyman-alpha forest and the CMB. Rather than using a particular semi-analytic model, we take the novel approach of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Jonathan R. Pritchard , Abraham Loeb , J. Stuart B. Wyithe

The optical depth $\tau$ is the least well determined parameter in the standard model of cosmology, and one whose precise value is important for both understanding reionization and for inferring fundamental physics from cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-05 Noah Sailer , Shi-Fan Chen , Martin White

We present an analysis of the evolution of the Lyman-series forest into the epoch of reionization using cosmological radiative transfer simulations in a scenario where reionization ends late. We explore models with different midpoints of…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-22 Laura C. Keating , Girish Kulkarni , Martin G. Haehnelt , Jonathan Chardin , Dominique Aubert

The reionization of helium is thought to occur at $2.5\lesssim z\lesssim4$, marking the last phase transition and final global heating event of the intergalactic medium (IGM). Since it is driven by rare quasars, helium reionization should…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-13 Saba Etezad-Razavi , Sarah E. I. Bosman , Frederick B. Davies

The transmission of Lyman-{\alpha} (Ly{\alpha}) in the spectra of distant quasars depends on the density, temperature, and ionization state of the intergalactic medium (IGM). Therefore, high-redshift (z > 5) Ly{\alpha} forests could be…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-07 Yuxiang Qin , Andrei Mesinger , Sarah E. I. Bosman , Matteo Viel

The latest measurements of CMB electron scattering optical depth reported by Planck significantly reduces the allowed space of HI reionization models, pointing toward a later ending and/or less extended phase transition than previously…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-30 J. Oñorbe , J. F. Hennawi , Z. Lukić , M. Walther

We extend the existing analytical model of reionization by Furlanetto et al. (2004) to include the biasing of reionization sources and additional absorption by Lyman Limit systems. Our model is, by construction, consistent with the observed…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-12 Alexander A. Kaurov , Nickolay Y. Gnedin

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

The recent measurement by WMAP of a large electron scattering optical depth tau_e = 0.17 +- 0.04 is consistent with a simple model of reionization in which the intergalactic medium (IGM) is ionized at redshift z ~ 15, and remains highly…

Astrophysics · Physics 2009-11-07 Lam Hui , Zoltan Haiman

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

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 examine the constraints on high-redshift star formation, ultraviolet and X-ray pre-ionization, and the epoch of reionization at redshift z_r, inferred from the recent WMAP-5 measurement, tau_e = 0.084 +/- 0.016, of the electron…

Astrophysics · Physics 2009-11-13 J. Michael Shull , Aparna Venkatesan

Using a Bayesian framework, we quantify what current observations imply about the history of the epoch of reionisation (EoR). We use a popular, three-parameter EoR model, flexible enough to accommodate a wide range of physically-plausible…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-01 Bradley Greig , Andrei Mesinger

Extremely large opaque troughs in the Lyman-alpha forest have been interpreted as a sign of an extended reionization process below z~6. Such features are impossible to reproduce with simple models of the intergalactic ionizing background…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-27 Frederick B. Davies , Steven R. Furlanetto

We derive new constraints on models of decaying and annihilating dark matter (DM) by requiring that the energy injected into the intergalactic medium (IGM) not overheat it at late times, when measurements of the Lyman-$\alpha$ forest…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-18 Hongwan Liu , Wenzer Qin , Gregory W. Ridgway , Tracy R. Slatyer

The Lyman alpha (Lya) forest in the spectra of z>5 quasars provides a powerful probe of the late stages of the Epoch of Reionization (EoR). With the recent advent of exquisite datasets such as XQR-30, many models have struggled to reproduce…

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

Three independent observational studies have now detected a narrow (\Delta z ~ 0.5) dip centred at z=3.2 in the otherwise smooth redshift evolution of the Lya forest effective optical depth. This feature has previously been interpreted as…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 James S. Bolton , S. Peng Oh , Steven R. Furlanetto
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