  The parity non-conservation effect in diffractive charged current DIS is
quantified in terms of color dipole sizes of left-handed and right-handed
electroweak bosons. We identify the origin and estimate the strength of the
left-right asymmetry effect and present comparison with experimental data on
the parity-odd structure function $\Delta xF_3 =xF_3^{\nu N}-xF_3^{\bar\nu N}$.
We study the shadowing effect in absorption of left-handed and right-handed
$W$-bosons by atomic nuclei. The target nucleus is found to be quite
transparent for the charmed-strange Fock component of the light-cone $W^+$ in
the helicity state $\lambda=+1$ and rather opaque for the $c\bar s$ dipole with
$\lambda=-1$.
