Constraining $μ$ and $y$ distortions in the Cosmic Microwave Background with COBE/FIRAS Data

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Auteurs principaux: Dhal, Somita, Konar, Koustav, Paul, R. K.
Format: Preprint
Publié: 2024
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author Dhal, Somita
Konar, Koustav
Paul, R. K.
author_facet Dhal, Somita
Konar, Koustav
Paul, R. K.
contents This paper presents a novel approach to constrain the $μ$- and y- distortions in the Cosmic Microwave Background (CMB) using the COBE/FIRAS data. The analysis draws from the concept of blackbody radiation inversion (BRI), a mathematical technique typically used to determine the temperature distribution from a radiated power spectrum. We study the deviations from the ideal blackbody spectrum or the spectral distortions by incorporating first a non-zero chemical potential $μ$ via the Bose-Einstein distribution and then the Compton parameter $y$ while keeping the monopole temperature constant. We infer the results as probability distribution functions on these distortions. Finally, we derive $μ= (8.913 \pm 0.736) \times 10^{-5}$ and $y = (1.532 \pm 0.092) \times 10^{-5}$ at a $68\%$ confidence interval. The results are consistent with prior values and provide tighter constraints on the CMB spectral distortion and synergies of the primordial Universe.
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id arxiv_https___arxiv_org_abs_2411_03056
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publishDate 2024
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spellingShingle Constraining $μ$ and $y$ distortions in the Cosmic Microwave Background with COBE/FIRAS Data
Dhal, Somita
Konar, Koustav
Paul, R. K.
Cosmology and Nongalactic Astrophysics
Instrumentation and Methods for Astrophysics
This paper presents a novel approach to constrain the $μ$- and y- distortions in the Cosmic Microwave Background (CMB) using the COBE/FIRAS data. The analysis draws from the concept of blackbody radiation inversion (BRI), a mathematical technique typically used to determine the temperature distribution from a radiated power spectrum. We study the deviations from the ideal blackbody spectrum or the spectral distortions by incorporating first a non-zero chemical potential $μ$ via the Bose-Einstein distribution and then the Compton parameter $y$ while keeping the monopole temperature constant. We infer the results as probability distribution functions on these distortions. Finally, we derive $μ= (8.913 \pm 0.736) \times 10^{-5}$ and $y = (1.532 \pm 0.092) \times 10^{-5}$ at a $68\%$ confidence interval. The results are consistent with prior values and provide tighter constraints on the CMB spectral distortion and synergies of the primordial Universe.
title Constraining $μ$ and $y$ distortions in the Cosmic Microwave Background with COBE/FIRAS Data
topic Cosmology and Nongalactic Astrophysics
Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2411.03056