A direct measure of free electron gas via the kinematic Sunyaev-Zel'dovich effect in Fourier-space analysis

We present the measurement of the kinematic Sunyaev-Zel'dovich (kSZ) effect in Fourier space, rather than in real space. We measure the density-weighted pairwise kSZ power spectrum, the first use of this promising approach, by cross-correlating a cleaned cosmicmicrowave background (CMB) temperature map, which jointly uses both Planck Release 2 and Wilkinson Microwave Anisotropy Probe nine-year data, with the two galaxy samples, CMASS and LOWZ, derived from the Baryon Oscillation Spectroscopic Survey (BOSS) Data Release 12. To estimate the CMB temperature distortion associated with each galaxy, we apply an aperture photometry filter. With the current data, we constrain the average optical depth τ multiplied by the ratio of the Hubble parameter at redshift z and the present day, E = H/H₀; we find τE = (3.95 ± 1.62) × 10^-5 for LOWZ, which corresponds to the statistical significance of S/N = 2.44, and τE = (1.25 ± 1.06) × 10^-5 for CMASS, which is consistent with a null hypothesis of no signal. While this analysis results in the kSZ signals with only evidence for a detection, the combination of future CMB and spectroscopic galaxy surveys should enable precision measurements. We estimate that the combination of CMB-S4 and data from Dark Energy Spectroscopic Instrument should yield detections of the kSZ signal with S/N = 70-100, depending on the resolution of CMB-S4.