paper

Fully Relativistic Derivation of the Thermal Sunyaev-Zel'dovich Effect

arXiv:2405.02127 · doi:10.1016/j.physletb.2024.139119

Abstract

We present the first fully and inherently relativistic derivation of the thermal Sunyaev-Zel'dovich effect. This work uses the formalism historically used to compute radiation spectra emerging from inverse Thomson/Compton sources of x-ray radiation. Comparing our results to the traditional approach based on relativistically-corrected classical Kompaneets equation, we find small, but systematic differences. Most notable are the modest (< 10 %) differences in the crossover frequency where the spectral distortion due to the Sunyaev-Zel'dovich effect vanishes, and the energy increase of the distribution at high electron cloud temperatures.

arXiv comment6 pages, 5 figures

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