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The Thomson optical depth from reionization is a limiting factor in measuring the amplitude of primordial fluctuations, and hence in measuring physics that affects the low-redshift amplitude, such as the neutrino masses. Current constraints…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-05 P. Daniel Meerburg , Joel Meyers , Kendrick M. Smith , Alexander van Engelen

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

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

Large fluctuations in the electron column density can occur during the reionization process. We investigate the possibility of deriving the electron density fluctuations through detailed mapping of the redshifted 21-cm emission from the…

Astrophysics · Physics 2009-11-11 Gilbert Holder , Ilian T. Iliev , Garrelt Mellema

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

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 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

At wavelengths longer than 21 cm, photons from the long-wavelength tail of the cosmic microwave background (CMB) have a non-zero probability of being absorbed by distant neutral hydrogen. This provides an additional suppression of the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-25 Gilbert Holder , Adrian Liu , Tzu-Ching Chang , David Zegeye

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 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

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 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

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

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

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

The cross-correlation between fluctuations in the electron scattering optical depth $\tau_{\rm es}$ as probed by future Cosmic Microwave Background (CMB) experiments, and fluctuations in the 21cm differential brightness temperature $\Delta…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-07 Anirban Roy , Andrea Lapi , David Spergel , Soumen Basak , Carlo Baccigalupi

As cosmic microwave background (CMB) photons traverse the Universe, anisotropies can be induced via Thomson scattering (proportional to the integrated electron density; optical depth) and inverse Compton scattering (proportional to the…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-14 Anirban Roy , Alexander van Engelen , Vera Gluscevic , Nicholas Battaglia

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

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…

Recent baryonic acoustic oscillation (BAO) measurements from the Dark Energy Spectroscopic Instrument (DESI) are mildly discrepant ($2.2\sigma$) with the cosmic microwave background (CMB) when interpreted within $\Lambda$CDM. When analyzing…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-25 Noah Sailer , Gerrit S. Farren , Simone Ferraro , Martin White
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