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

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

2004-09-06

arxiv.org/abs/astro-ph/0409127v2

Astronomy and Astrophysics

Astrophysics

4 pages, 1 figure

Scientific paper

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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