A. D. Challinor coauthored, with A. N. Lasenby, analytic corrections to the thermal Sunyaev-Zeldovich effect in hot galaxy clusters. The calculation uses an expansion of the Kompaneets equation to include relativistic effects in scattering by electrons.
The resulting change in spectral shape matters when combining X-ray and cosmic microwave background observations to infer cluster properties or a Hubble constant. A small correction to the physical signal can produce a systematic shift in a derived parameter.[ref]
Relativistic corrections to the Sunyaev-Zel'dovich effect by A. D. Challinor and A. N. Lasenby. Abstract: analytic spectral corrections and their effect on a combined X-ray/Sunyaev–Zeldovich inference
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