# The cosmic microwave background spectral modification due to thermal Comptonization in galaxy clusters. Analytical consideration

## TL;DR

This paper presents an analytical method to estimate how thermal Comptonization in galaxy clusters deforms the cosmic microwave background spectrum, enabling determination of cluster properties from CMB observations.

## Contribution

It introduces a new analytical approach to quantify CMB spectral modifications caused by thermal Comptonization in galaxy clusters.

## Key findings

- Analytical estimation of CMB spectral deformation due to Comptonization.
- Method to determine optical depth and electron temperature of clusters from CMB data.
- Potential for improved galaxy cluster characterization using CMB spectral analysis.

## Abstract

See comments. We calculate analytically an effect of the thermal Comptonization on the cosmic microwave background (CMB) photons when they propagate through galaxy clusters. We estimate a deformation of the CMB spectrum due to multiple Compton scattering of the photons off electrons of an optically-thin hot spherical plasma cloud. This new approach allows us to disentangle and determine the optical depth and the electron temperature of a galaxy cluster using the CMB observations.

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Source: https://tomesphere.com/paper/1906.07060