The Kinetic Sunyaev-Zel'dovich Effect from Reionization: Simulated Full Sky Maps at Arcminute Resolution

Abstract

The kinetic Sunyaev-Zel'dovich (kSZ) effect results from Thomson scattering by coherent flows in the reionized intergalactic medium. We present new results based on ray-tracing a 10 Gpc scale simulation at 2-3 Mpc scale resolution to create a full sky kSZ map. The simulation includes, self-consistently, the effects of reionization on scales corresponding to multipoles $10\lesssim \ell \lesssim 5000$. We separate the kSZ map into Doppler ($\mathbf{v}$), Ostriker-Vishniac ($\delta \mathbf{v}$), patchy ($x\mathbf{v}$), and third-order ($x\delta \mathbf{v}$) components, and compute explicitly all the auto and cross correlations (e.g., $⟨\mathbf{vv}⟩$, $⟨\delta \mathbf{v}x\mathbf{v}⟩$, etc.) that contribute to the total power. We find a complex dependence on the duration of reionization at $\ell \sim 300$ and evidence for a non-negligible (10-30 per cent) contribution from connected four point ionization-velocity correlations, $⟨x\mathbf{v}x\mathbf{v}{⟩}_c$, that are usually neglected in analytical models. We also investigate the Doppler-large scale structure (LSS) correlation, focusing on two different probes: (1) cross power spectra with linearly biased tracers of LSS and (2) cold spots from infall onto large, rare \ion{H}{2} regions centered on peaks in the matter distribution at redshifts $z>10$. Finally, the reionization history can be reconstructed at 5-10$\sigma$ significance by correlating 21-cm maps with existing CMB temperature maps at $\ell <500$ --sophisticated velocity reconstruction methods can probe the distribution of electrons in the IGM by using combined CMB and LSS measurements well into the epoch of reionization. The resulting kSZ maps have been made publicly available at http://www.cita.utoronto.ca/~malvarez/research/ksz-data.

15 pages, 11 figures, comments welcome. Full sky maps in FITS format and high resolution figures available at http://cita.utoronto.ca/~malvarez/research/ksz-data

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