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Patchy Kinetic Sunyaev-Zel'dovich Effect with Controlled Reionization History and Morphology

8 Mar 2022arXiv:2203.04337links table onlyarchive 2025-07-28

Nianyi Chen, Hy Trac, Suvodip Mukherjee, Renyue Cen

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Using the novel semi-numerical code for reionization AMBER, we model the patchy kinetic Sunyaev-Zel'dovich (kSZ) effect by directly specifying the reionization history with the redshift midpoint z_(mid), duration Δ_z, and asymmetry A_z. We further control the ionizing sources and radiation through the minimum halo mass Mₕ and the radiation mean free path λ_(mfp). AMBER reproduces the free electron number density and the patchy kSZ power spectrum of radiation-hydrodynamic simulations at the target resolution (1 Mpc/h) with matched reionization parameters. With a suite of (2 Gpc/h)³ simulations using AMBER, we first constrain the redshift midpoint 6.0<z_(mid)<8.9 using the Planck2018 Thomson optical depth result (95\% CL). Then, assuming z_(mid)=8, we find that the amplitude of D^(pkSZ)_(ℓ=3000) scales linearly with the duration of reionization Δ_z, and is consistent with the 1σ upper limit from the South Pole Telescope (SPT) results up to Δ_z<5.1 (Δ_z encloses 5% to 95% ionization). Moreover, a shorter λ_(mfp) can lead to a ∼10% lower D^(pkSZ)_(ℓ=3000) and a flatter slope in the Δ_z-D^(pkSZ)_(ℓ=3000) scaling relation, thereby affecting the constraints on Δ_z at ℓ=3000. Allowing z_(mid) and λ_(mfp) to vary simultaneously, we get spectra consistent with the SPT result (95% CL) up to Δ_z=12.8 (but A_z>8 is needed to ensure an end of reionization before z=5.5). We show that constraints on the asymmetry require ∼0.1 μk² measurement accuracy at multipoles other than ℓ=3000. Finally, we find that the amplitude and shape of the kSZ spectrum are only weakly sensitive to Mₕ under a fixed reionization history and radiation mean-free path.

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