Nuclear medium effects in $\nu \mathrm{/}\bar{\nu }$-A DIS

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 $R_{F2,F3}^A(x,Q^2)=\frac{2F_{2,3}^A(x,Q^2)}{A{F}_{2,3}^D(x,Q^2)}$, 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.