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

Abstract

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

21 pages, 24 figures

Cited by in corpus (7)

• Neutrino Interactions with Nucleons and Nuclei: Importance for Long-Baseline Experiments
• Event Generators for High-Energy Physics Experiments
• Exploring Neutrino-Nucleus Interactions in the GeV Regime using MINERvA
• Neutrino Experiments at the Large Hadron Collider
• Snowmass 2021 LoI: Neutrino-induced Shallow- and Deep-Inelastic Scattering
• Nuclear effects in deep inelastic scattering and transition region
• Nuclear Target Cross Section Ratios at MINERvA