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We present the measurement of the kinematic Sunyaev-Zel'dovich (kSZ) effectin Fourier space, rather than in real space. We measure the density-weightedpairwise kSZ power spectrum, the first use of this promising approach, bycross-correlating a cleaned Cosmic Microwave Background (CMB) temperature map,which jointly uses both Planck Release 2 and Wilkinson Microwave AnisotropyProbe nine-year data, with the two galaxy samples, CMASS and LOWZ, derived from the Baryon Oscillation Spectroscopic Survey (BOSS) Data Release 12. With thecurrent data, we constrain the average optical depth $\tau$ multiplied by theratio of the Hubble parameter at redshift $z$ and the present day, $E=H/H_0$;we find $\tau E = (3.95\pm1.62)\times10^{-5}$ for LOWZ and $\tau E = ( 1.25\pm1.06)\times10^{-5}$ for CMASS, with the optimal angular radius of an aperturephotometry filter to estimate the CMB temperature distortion associ ated witheach galaxy. By repeating the pairwise kSZ power analysis for various apertureradii, we measure the optical depth as a function of aperture ra dii. Whilethis analysis results in the kSZ signals with only evidence for a detection,${\rm S/N}=2.54$ for LOWZ and $1.24$ for CMASS, the combination of future CMBand spectroscopic galaxy surveys should enable precision measurements. Weestimate that the combination of CMB-S4 and data from DESI shoul d yielddetections of the kSZ signal with ${\rm S/N}=70-100$, depending on theresolution of CMB-S4.

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