Constraining the ionized gas evolution with CMB-spectroscopic survey cross-correlation

Abstract

We forecast the prospective constraints on the ionized gas model $f_{\mathrm{gas}}(z)$ at different evolutionary epochs via the tomographic cross-correlation between kinetic Sunyaev-Zeldovich (kSZ) effect and the reconstructed momentum field at different redshifts. The experiments we consider are the Planck and CMB Stage-4 survey for CMB and the SDSS-III for the galaxy spectroscopic survey. We calculate the tomographic cross-correlation power spectrum, and use the Fisher matrix to forecast the detectability of different $f_{\mathrm{gas}}(z)$ models. We find that for constant $f_{\mathrm{gas}}$ model, Planck can constrain the error of $f_{\mathrm{gas}}$ (${\sigma }_{f_{\mathrm{gas}}}$) at each redshift bin to $\sim 0.2$, whereas four cases of CMB-S4 can achieve ${\sigma }_{f_{\mathrm{gas}}}\sim 10^{-3}$. For $f_{\mathrm{gas}}(z)=f_{\mathrm{gas},0}/(1+z)$ model the error budget will be slightly broadened. We also investigate the model $f_{\mathrm{gas}}(z)=f_{\mathrm{gas},0}/(1+z{)}^{\alpha }$. Planck is unable to constrain the index of redshift evolution, but the CMB-S4 experiments can constrain the index $\alpha$ to the level of ${\sigma }_{\alpha }\sim 0.01$--$0.1$. The tomographic cross-correlation method will provide an accurate measurement of the ionized gas evolution at different epochs of the Universe.

arXiv comment11 pages, 5 figures, 5 tables

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