The dark flow induced small scale kinetic Sunyaev Zel'dovich effect
  Recently Kashlinsky et al. 2008, 2010 reported a discovery of a $\sim 10^3$
km/$s$ bulk flow of the universe out to $z\simeq 0.3$, through the dark flow
induced CMB dipole in directions of clusters. We point out that, if this dark
flow exists, it will also induce observable CMB temperature fluctuations at
multipole $\ell\sim 10^3$, through modulation of the inhomogeneous electron
distribution on the uniform dark flow. The induced small scale kinetic Sunyaev
Zel'dovich (SZ) effect will reach $\sim 1\muk^2$ at multipole $10^3\la \ell\la
10^4$, only a factor of $\sim 2$ smaller than the conventional kinetic SZ
effect. Furthermore, it will be correlated with the large scale structure (LSS)
and its correlation with 2MASS galaxy distribution reaches $0.3 \mu$K at
$\ell=10^3$, under a directional dependent optimal weighting scheme. We
estimate that, WMAP plus 2MASS should already be able to detect this dark flow
induced small scale kinetic SZ effect with $\sim 6\sigma$ confidence. Deeper
galaxy surveys such as SDSS can further improve the measurement. Planck plus
existing galaxy surveys can reach $\ga 14\sigma$ detection. Existing CMB-LSS
cross correlation measurements shall be reanalyzed to test the existence of the
dark flow and, if it exists, shall be used to eliminate possible bias on the
integrated Sachs-Wolfe effect measurement through the CMB-LSS cross
correlation.
