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We construct a model for inelastic neutrino- and electron-nucleon scatteringcross sections using effective leading order parton distribution functions witha new scaling variable $\xi_w$. Non-perturbative effects are well describedusing the $\xi_w$ scaling variable, in combination with multiplicative $K$factors at low $Q^2$.Our model describes all inelastic charged lepton-nucleonscattering (including resonance) data (HERA/NMC/BCDMS/SLAC/JLab) ranging fromvery high $Q^2$ to very low $Q^2$ and down to the photo-production region. Themodel describes existing inelastic neutrino-nucleon scattering measurements,and has been developed to be used in analysis of neutrino oscillationexperiments in the few GeV region.

Axial and Vector Structure Functions for Electron- and Neutrino- Nucleon  Scattering Cross Sections at all $Q^2$ using Effective Leading order Parton  Distribution Functions