PDFs and Neutrino-Nucleon Scattering from Hadronic Tensor

Understand

We review the Euclidean path-integral formulation of the nucleon hadronic tensor and classify the gauge invariant and topologically distinct insertions in terms of connected and disconnected insertions and also in terms of leading and higher-twist contributions in the DIS region.

• Converting the Euclidean hadronic tensor back to the Minkowski space requires solving an inverse problem of the Laplace transform.
• We have investigated several inverse algorithms and studied the pros and cons of each.
• We show a result with a relatively large momentum transfer ($Q^2 \sim 4\, {\rm GeV^2}$) to suppress the elastic scattering and reveal the contributions from the resonance and inelastic region of the neutrino-nucleon scattering.