Update of HKN Nuclear PDFs

Abstract

We discuss consistency of the nuclear effects between the electromagnetic and weak interactions. In order to study a possibility of different nuclear effects in the neutrino DIS process, double differential cross section data are compared with these values obtained by the HKN07 nuclear parton distribution functions (nPDFs). Discrepancies are found in the small and large-$x$ regions, and difference of kinematical value $y$ dependence exists between the $\nu$ and $\bar{\nu}$ data around $x=0.35$. Moreover, we study statistical significance of the neutrino DIS data in each $x$ bin and discuss about the possibility of the different nuclear modifications.