On the lepton-nucleon neutral and charged current deep inelastic scattering cross sections

TL;DR

This paper introduces LDCS 1.0, a Fortran program for calculating lepton-nucleon DIS cross sections, incorporating lepton mass effects and validated against experimental data.

Contribution

The paper presents a new computational tool for DIS cross section calculations that accounts for lepton mass effects and is compatible with various parton distribution functions.

Findings

The program accurately reproduces experimental cross section data.

Lepton mass effects are significant at GeV energy levels.

The tool is versatile for different experimental setups.

Abstract

Based on the requirement in the simulation of lepton-nucleus deep inelastic scattering (DIS), we construct a fortran program LDCS 1.0 calculating the differential and total cross sections for the unpolarized charged lepton-unpolarized nucleon and neutrino-unpolarized nucleon neutral current (charged current) DIS at leading order. Any set of the experimentally fitted parton distribution functions could be employed directly. The mass of incident and scattered leptons is taken into account and the boundary conditions calculating the single differential and total cross section are studied. The calculated results well agree with the corresponding experimental data which indicating the LDCS 1.0 program is good. It is also turned out that the effect of tauon mass is not negligible in the GeV energy level.