DGLAP equation and x-evolution of Non-singlet structure function in Leading order

TL;DR

This paper presents a comprehensive solution to the DGLAP equation for the non-singlet structure function in leading order, offering a more general formalism and validating predictions against experimental data.

Contribution

It introduces a more general formalism for solving the DGLAP equation in leading order using Taylor approximation, improving upon previous methods.

Findings

Predictions agree well with CCFR neutrino data

Formalism is more general than existing approaches

Provides exact solutions for x distribution of non-singlet structure function

Abstract

Study of parton distribution function (PDF) is a topic of significant interest in QCD. To overcome the shortcomings of conventional PDFs, several alternative methods have been suggested in recent years. The present work reports the x distribution of the Non-singlet structure function in Leading order using the complete solution of Taylor-approximated DGLAP equation. The formalism is more general than the similar ones reported in recent literature. Our predictions are compared with the CCFR neutrino data as well as exact results.