Regge behaviour of structure functions and solution of Dokshitzer-Gribov-Lipatov-Altarelli-Parisi Evolution equations in next-to-leading order at low-x

TL;DR

This paper derives proton and deuteron structure functions using NLO DGLAP equations with Regge behavior assumptions at low-x, and compares results with experimental data from NMC and E665 collaborations.

Contribution

It introduces a method to solve NLO DGLAP equations at low-x assuming Regge behavior, providing a new approach to understanding structure functions.

Findings

Results agree with NMC and E665 data.

Validates Regge behavior assumption at low-x.

Provides analytical solutions for structure functions in NLO.

Abstract

Deuteron and proton structure functions are derived from Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations of singlet and non-singlet structure functions in next-to-leading order (NLO) at low-x assuming the Regge behaviour of singlet and non-singlet structure functions at this limit and results are compared with New Muon Collaboration (NMC) and E665 collaboration data sets.