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The statistical nature of the second order corrections to the thermal SZE

A. Sandoval-Villalbazo·L. S. Garcia-Colin
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Abstract

This paper shows that the accepted expressions for the second order corrections in the parameter $z$ to the thermal Sunyaev-Zel'dovich effect can be accurately reproduced by a simple convolution integral approach. This representation allows to separate the second order SZE corrections into two type of components. One associated to a single line broadening, directly related to the even derivative terms present in the distortion intensity curve, while the other is related to a frequency shift, which is in turn related to the first derivative term.

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A. Sandoval-Villalbazo, L. S. Garcia-Colin. 2004-09-20. The statistical nature of the second order corrections to the thermal SZE. https://arxiv.org/abs/astro-ph/0409127

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