Polarized Dokshitzer-Gribov-Lipatov- Altarelli-Parisi equations and t-evolution of structure functions in next-to-leading order at small-x

TL;DR

This paper derives spin-dependent structure functions using NLO DGLAP equations at small-x, employing Taylor expansion for solutions, and compares the t-evolution results with experimental data.

Contribution

It introduces a unique Taylor series-based method to solve NLO DGLAP equations for spin-dependent structure functions at small-x.

Findings

Calculated t-evolution of deuteron, proton, and neutron structure functions.

Results agree with SLAC E-143 experimental data.

Provides a new approach for solving evolution equations in QCD.

Abstract

In this paper the spin-dependent singlet and non-singlet structure functions have been obtained by solving Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations in next-to-leading order in the small x limit. Here we have used Taylor series expansion and then the particular and unique solution to solve the evolution equations. We have also calculated t evolutions of deuteron, proton and neutron structure functions and the results are compared with the SLAC E-143 Collaboration data.