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A fast and accurate method for computing the Sunyaev-Zeldovich signal of hot galaxy clusters | Jens Chluba
; Daisuke Nagai
; Sergey Sazonov
; Kaylea Nelson
; | Date: |
25 May 2012 | Abstract: | New generation ground and space-based CMB experiments have ushered in
discoveries of massive galaxy clusters via the Sunyaev-Zeldovich (SZ) effect,
providing a new window for studying cluster astrophysics and cosmology. Many of
the newly discovered, SZ-selected clusters contain hot intracluster plasma (kTe
> 10 keV) and exhibit disturbed morphology, indicative of frequent mergers with
large peculiar velocity (v > 1000 km s^{-1}). It is well-known that for the
interpretation of the SZ signal from hot, moving galaxy clusters, relativistic
corrections must be taken into account, and in this work, we present a fast and
accurate method for computing these effects. Our approach is based on an
alternative derivation of the Boltzmann collision term which provides new
physical insight into the sources of different kinematic corrections in the
scattering problem. By explicitly imposing Lorentz-invariance of the scattering
optical depth, we also show that the kinematic corrections to the SZ intensity
signal found in this work differ from previously obtained expressions. We
briefly mention additional complications connected with kinematic effects that
should be considered when interpreting future SZ data for individual clusters.
One of the main outcomes of this work is SZpack, a numerical library which
allows very fast and precise (<~0.001% at frequencies h{
u} <~20kT{gamma})
computation of the SZ signals up to high electron temperature (kTe simeq 25
keV) and large peculiar velocity (v/c simeq 0.01). The accuracy is well beyond
the current and future precision of SZ observations and practically eliminates
uncertainties related to more expensive numerical evaluation of the Boltzmann
collision term. Our new approach should therefore be useful for analyzing
future high-resolution, multi-frequency SZ observations as well as computing
the predicted SZ effect signals from numerical simulations. | Source: | arXiv, 1205.5778 | Services: | Forum | Review | PDF | Favorites |
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