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Relativistic Corrections to the Sunyaev-Zel'dovich Effect for Clusters of Galaxies. V. Precision Analytic Fitting Formula for the Crossover Frequency Region

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TLDR
In this paper, a precision analytic fitting formula for the exact numerical results of the relativistic corrections to the thermal Sunyaev-Zeldovich effect for clusters of galaxies was obtained.
Abstract
We have succeeded in obtaining a precision analytic fitting formula for the exact numerical results of the relativistic corrections to the thermal Sunyaev-Zeldovich effect for clusters of galaxies which has a 1% accuracy for the crossover frequency region where the thermal thermal Sunyaev-Zeldovich effect signal changes from negative to positive sign. The fitting has been carried out for the ranges 0.020 < theta < 0.035 and 0 < X < 15, where theta= kTe/mc^{2}, X = omega/kT0, Te is the electron temperature, omega is the angular frequency of the photon, and T0 is the temperature of the cosmic microwave background radiation. The overall accuracy of the fitting is better than 0.1%. The present analytic fitting formula will be useful for accurate analyses of the thermal Sunyaev-Zeldovich effect for clusters of galaxies.

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References
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Journal ArticleDOI

The synergy between CMB spectral distortions and anisotropies

TL;DR: Spectral distortions and anisotropies of the CMB provide independent and complementary probes to study energy injection processes in the early universe as mentioned in this paper, and show the promising future of spectral distortion missions to constrain both exotic and non-exotic energy injections.
Journal ArticleDOI

New Horizons in Cosmology with Spectral Distortions of the Cosmic Microwave Background

TL;DR: In this paper, the authors highlight the unique science opportunities using spectral distortions of the cosmic microwave background (CMB) for further understanding of inflation, recombination, reionization and structure formation as well as dark matter and particle physics.
Journal ArticleDOI

Spectral and temporal properties of Compton scattering by mildly relativistic thermal electrons

TL;DR: In this paper, the authors modify the solution to the kinetic equation of Sunyaev and Titarchuk to allow its application up to mildly mild temperature variations and obtain new solutions and methods for the process of thermal Comptonization.
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Cosmological implications of the anisotropy of ten galaxy cluster scaling relations

TL;DR: In this paper, the authors make use of up to 570 clusters with measured properties at X-ray, microwave, and infrared wavelengths to construct ten different cluster scaling relations and test the isotropy of the local Universe; to our knowedge, they present five of these scaling relations for the first time.
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