High energy neutrino in a nuclear environment: mirror asymmetry of the   shadowing effect
  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 $\lambda=-1$. 
V.R. Zoller