Astronomy and Astrophysics· 2021Q1
<i>Planck</i> 2018 results
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- 2021year
Short summary
A numerical error in the Planck 2018 results has been corrected, leading to 95% upper bounds on early-time optical depth (τ(15,30)) that are up to a factor of 3 larger than previously reported.
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Key points
- Corrected numerical error in Planck 2018 early-time optical depth bounds.
- New 95% upper bounds for τ(15,30) are < 0.018 and < 0.023.
- Corrected bounds are up to 3 times larger than originally stated.
- Revised results are comparable to prior Planck data and independent analyses (Millea & Bouchet 2018, Heinrich & Hu 2021).
AI-generated from the title and abstract; the full text is not read.
Abstract
In the original version, the bounds given in Eqs. (87a) and (87b) on the contribution to the early-time optical depth, (15,30), contained a numerical error in deriving the 95th percentile from the Monte Carlo samples. The corrected 95% upper bounds are: τ(15,30) &lt; 0:018 (lowE, flat τ(15, 30), FlexKnot), (1) τ(15, 30) &lt; 0:023 (lowE, flat knot, FlexKnot): (2) These bounds are a factor of 3 larger than the originally reported results. Consequently, the new bounds do not significantly improve upon previous results from Planck data presented in Millea &amp; Bouchet (2018) as was stated, but are instead comparable. Equations (1) and (2) give results that are now similar to those of Heinrich &amp; Hu (2021), who used the same Planck 2018 data to derive a 95% upper bound of 0.020 using the principal component analysis (PCA) model and uniform priors on the PCA mode amplitudes.
The authors' abstract, as published at the source. Astronomy and Astrophysics, 2021 · DOI ↗
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Field: Radiation
RadiationPhysics and Astronomy