  Current-induced spin torque and magnetization dynamics in the presence of
spin Hall effect in magnetic textures is studied theoretically. The local
deviation of the charge current gives rise to a current-induced spin torque of
the form (1-\beta{\bf M})x[({\bf u}_0+\alpha_H{\bf u}_0x\bf M})\cdot{\bm
\nabla}]{\bf M}, where {\bf u}_0 is the direction of the injected current,
\alpha_H is the Hall angle and \beta is the non-adiabaticity parameter due to
spin relaxation. Since \alpha_H and \beta can have a comparable order of
magnitude, we show that this torque can significantly modify the
current-induced dynamics of both transverse and vortex walls.
