  Nuclear medium effects in the weak structure functions $F_2(x,Q^2)$ and
$F_3(x,Q^2)$ have been studied for deep inelastic neutrino/antineutrino
reactions in iron nucleus by taking into account Fermi motion, binding, pion
and rho meson cloud contributions, target mass correction, shadowing and
anti-shadowing corrections. The calculations have been performed in a local
density approximation using relativistic nuclear spectral functions which
include nucleon correlations. Using these structure functions we have obtained
the ratio $R_{F2,F3}^A(x,Q^2)= \frac{2F_{2,3}^A(x,Q^2)}{AF_{2,3}^D(x,Q^2)}$,
the differential scattering cross section $\frac{1}{E}\frac{d^2\sigma}{dxdy}$
and the total scattering cross section $\sigma$. The results of our numerical
calculations in $^{56}Fe$ are compared with the experimental results of NuTeV
and CDHSW collaborations.
