Multiple scattering Sunyaev-Zeldovich signal II: relativistic effects

Understand

We study the multiple scattering Sunyaev-Zeldovich (SZ) signature, extending our previous analysis to high-temperature clusters.

• We consistently treat the anisotropy of the ambient radiation field caused by the first scattering and also consider lowest order kinematic terms.
• We show that due to temperature corrections monopole through octupole anisotropy of the singly scattered SZ signal attain different spectra in the second scattering.
• The difference becomes more pronounced at high temperature, and thus could be used to constrain individual line of sight moments of the electron density and temperature profiles.