Update to the Bodek-Yang Unified Model for Electron- and Neutrino- Nucleon Scattering Cross Sections

TL;DR

This paper presents an updated model for electron- and neutrino-nucleon scattering cross sections that accurately describes a wide range of experimental data across different energy scales, improving the understanding of inelastic scattering processes.

Contribution

The paper introduces a new scaling variable $\xi_w$ and combines it with effective parton distribution functions and $K$ factors to model inelastic scattering across all $Q^2$ regions, including resonance and photo-production.

Findings

Model fits a broad range of experimental data from high to low $Q^2$

Accurately describes neutrino and electron scattering measurements

Used in neutrino oscillation analysis

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 is currently used in analyses of neutrino oscillation experiments in the few GeV region.