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Modeling Lepton-Nucleon Inelastic Scattering from High to Low Momentum Transfer

Abstract

We present a model for inclusive charged lepton-nucleon and (anti)neutrino-nucleon cross sections at momentum transfer squared, , . We quantify the impact of existing low-Q charged-lepton deep-inelastic scattering (DIS) data on effects due to high-twist operators and on the extraction of parton distribution functions (PDFs). No evidence is found for twist-6 contributions to structure functions (SF), and for a twist-4 term in the logitudinal SF at . We find that DIS data are consistent with the NNLO QCD approximation with the target mass and phenomenological high twist corrections. For , we extend extrapolation of the operator product expansion, preserving the low- current-conservation theorems. The procedure yields a good description of data down to . An updated set of PDFs with reduced uncertainty and applicable down to small momentum transfers in the lepton-nucleon scattering is obtained.