The Effect of Large Optical Depths on the Non-Gaussian 21-cm signal from Cosmic Dawn

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Hauptverfasser: Nasreen, Iffat, Datta, Kanan K., Shaw, Abinash K., Noble, Leon, Ghara, Raghunath, Ali, Sk. Saiyad, Mishra, Arnab, Kamran, Mohd, Majumdar, Suman
Format: Preprint
Veröffentlicht: 2025
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author Nasreen, Iffat
Datta, Kanan K.
Shaw, Abinash K.
Noble, Leon
Ghara, Raghunath
Ali, Sk. Saiyad
Mishra, Arnab
Kamran, Mohd
Majumdar, Suman
author_facet Nasreen, Iffat
Datta, Kanan K.
Shaw, Abinash K.
Noble, Leon
Ghara, Raghunath
Ali, Sk. Saiyad
Mishra, Arnab
Kamran, Mohd
Majumdar, Suman
contents During the Cosmic Dawn (CD), the HI 21-cm optical depth ($τ$ ) in the intergalactic medium can become significantly large. Consequently, the second and higher-order terms of $τ$ appearing in the Taylor expansion of the HI 21-cm differential brightness temperature ($δT_{\rm b}$ ) become important. This introduces additional non-Gaussianity into the signal. We study the impact of large $τ$ on statistical quantities of HI 21-cm signal using a suite of standard numerical simulations that vary X-ray heating efficiency and the minimum halo mass required to host radiation sources. We find that the higher order terms suppress statistical quantities such as skewness, power-spectrum and bispectrum. However, the effect is found to be particularly strong on the non-Gaussian signal. We find that the change in skewness can reach several hundred percent in low X-ray heating scenarios, whereas for moderate and high X-ray heating models changes are around $\sim40\%$ and $60\%$, respectively, for $M_{\rm h,min}=10^{9}\, {\rm M}_{\odot}$. This change is around $\sim 75\%$, $25\%$ and $20\%$ for low, moderate and high X-ray heating models, respectively, for $M_{\rm h,min}=10^{10}\, {\rm M}_{\odot}$. The change in bispectrum in both the halo cutoff mass scenarios ranges from $\sim 10\%$ to $\sim 300\%$ for low X-ray heating model. However, for moderate and high X-ray heating models the change remains between $\sim 10\%$ to $\sim 200\%$ for both equilateral and squeezed limit triangle configuration. Finally, we find that up to third orders of $τ$ need to be retained to accurately model $δT_{\rm b}$, especially for capturing the non-Gaussian features in the HI 21-cm signal.
format Preprint
id arxiv_https___arxiv_org_abs_2506_23011
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Effect of Large Optical Depths on the Non-Gaussian 21-cm signal from Cosmic Dawn
Nasreen, Iffat
Datta, Kanan K.
Shaw, Abinash K.
Noble, Leon
Ghara, Raghunath
Ali, Sk. Saiyad
Mishra, Arnab
Kamran, Mohd
Majumdar, Suman
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
During the Cosmic Dawn (CD), the HI 21-cm optical depth ($τ$ ) in the intergalactic medium can become significantly large. Consequently, the second and higher-order terms of $τ$ appearing in the Taylor expansion of the HI 21-cm differential brightness temperature ($δT_{\rm b}$ ) become important. This introduces additional non-Gaussianity into the signal. We study the impact of large $τ$ on statistical quantities of HI 21-cm signal using a suite of standard numerical simulations that vary X-ray heating efficiency and the minimum halo mass required to host radiation sources. We find that the higher order terms suppress statistical quantities such as skewness, power-spectrum and bispectrum. However, the effect is found to be particularly strong on the non-Gaussian signal. We find that the change in skewness can reach several hundred percent in low X-ray heating scenarios, whereas for moderate and high X-ray heating models changes are around $\sim40\%$ and $60\%$, respectively, for $M_{\rm h,min}=10^{9}\, {\rm M}_{\odot}$. This change is around $\sim 75\%$, $25\%$ and $20\%$ for low, moderate and high X-ray heating models, respectively, for $M_{\rm h,min}=10^{10}\, {\rm M}_{\odot}$. The change in bispectrum in both the halo cutoff mass scenarios ranges from $\sim 10\%$ to $\sim 300\%$ for low X-ray heating model. However, for moderate and high X-ray heating models the change remains between $\sim 10\%$ to $\sim 200\%$ for both equilateral and squeezed limit triangle configuration. Finally, we find that up to third orders of $τ$ need to be retained to accurately model $δT_{\rm b}$, especially for capturing the non-Gaussian features in the HI 21-cm signal.
title The Effect of Large Optical Depths on the Non-Gaussian 21-cm signal from Cosmic Dawn
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2506.23011