Modeling Neutrino and Electron Scattering Cross Sections in the Few GeV Region with Effective $LO PDFs$

TL;DR

This paper develops modified leading order parton distribution functions using new scaling variables and low Q^2 adjustments to accurately model electron, muon, and neutrino scattering cross sections across a wide energy range.

Contribution

It introduces new scaling variables and low Q^2 modifications to existing PDFs, enabling comprehensive modeling of lepton and neutrino scattering at various energies.

Findings

Successfully models scattering cross sections at low and high energies

Extends the applicability of GRV94 and GRV98 PDFs to low Q^2 regions

Provides a unified framework for electron, muon, and neutrino interactions

Abstract

We use new scaling variables $x_w$ and $\xi_w$, and add low $Q^2$ 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 energie.