Modeling Neutrino and Electron Scattering Inelastic Cross Sections

TL;DR

This paper develops a model for inelastic scattering cross sections of electrons, muons, and neutrinos across a wide energy range by modifying existing parton distribution functions with new scaling variables and low Q2 adjustments.

Contribution

It introduces new scaling variables and low Q2 modifications to existing PDFs, enabling accurate modeling of scattering cross sections at both low and high energies.

Findings

Successfully models electron, muon, and neutrino scattering cross sections across energy ranges

Extends PDFs to low Q2 regions with new modifications

Provides a unified approach for different scattering processes

Abstract

We use new scaling variables x_w and xi_w, and add low Q2 modifications to GRV94 and GRV98 leading order parton distribution functions such that they can be used to model electron, muon and neutrino inelastic scattering cross sections (and also photoproduction) at both very low and high energies