  The baryonic feedback effect is an important systematic error in the weak
lensing (WL) analysis. It contributes partly to the $S_8$ tension in the
literature. With the next generations of large scale structure (LSS) and CMB
experiments, the high signal-to-noise kinetic Sunyaev-Zel'dovich (kSZ) effect
detection can tightly constrain the baryon distribution in and around dark
matter halos, and quantify the baryonic effect in the weak lensing statistics.
In this work, we apply the Fisher matrix technique to predict the future kSZ
constraints on 3 kSZ-sensitive Baryon Correction Model (BCM) parameters. Our
calculations show that, in combination with next generation LSS surveys, the
3rd generation CMB experiments such as AdvACT and Simon Observatory can
constrain the matter power spectrum damping $S(k)$ to the precision of
$\sigma_S(k)<0.8\%\sqrt{37.8{\rm Gpc}^3h^{-3}/V}$ at $k\lesssim 10h/$Mpc, where
$V$ is the overlapped survey volume between the future LSS and CMB surveys. For
the 4th generation CMB surveys such as CMB-S4 and CMB-HD, the constraint will
be enhanced to $\sigma_S(k)<0.4\%\sqrt{37.8{\rm Gpc}^3h^{-3}/V}$. If
extra-observations, e.g. X-ray detection and thermal SZ observation, can
effectively fix the gas density profile slope parameter $\delta$, the
constraint on $S(k)$ will be further boosted to
$\sigma_S(k)<0.3\%\sqrt{37.8{\rm Gpc}^3h^{-3}/V}$ and
$\sigma_S(k)<0.1\%\sqrt{37.8{\rm Gpc}^3h^{-3}/V}$ for the 3rd and 4th
generation CMB surveys.
