A. N. Lasenby coauthored a theoretical calculation of relativistic corrections to the thermal Sunyaev-Zeldovich effect with A. D. Challinor. The effect arises when hot electrons change the cosmic microwave background spectrum through scattering.
Their calculation extends the Kompaneets equation and expands the spectral distortion in the dimensionless electron temperature . It connects the accuracy of a cluster measurement to the validity of the nonrelativistic approximation used to interpret it.[ref]
Relativistic corrections to the Sunyaev-Zel'dovich effect by A. D. Challinor and A. N. Lasenby. Abstract: extended Kompaneets equation and first- and second-order temperature corrections
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