Evolution of singlet structure functions from DGLAP equation at next-to-next-to-leading order at small-x

TL;DR

This paper presents a semi-numerical method to solve DGLAP evolution equations at NNLO for singlet structure functions in the small-x region, comparing results with experimental data and existing fits.

Contribution

It introduces a Taylor series expansion approach to solve DGLAP equations at NNLO in the small-x limit, providing detailed t- and x-evolutions of structure functions.

Findings

Results agree well with E665 and NMC data.

The method accurately reproduces the behavior of structure functions at small-x.

Comparison with NNPDF fits shows consistency.

Abstract

A semi-numerical solution to Dokshitzer- Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations at leading order (LO), next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) in the small-x limit is presented. Here we have used Taylor series expansion method to solve the evolution equations and, t- and x-evolutions of the singlet structure functions have been obtained with such solution. We have also calculated t- and x-evolutions of deuteron structure functions F_2^d, and the results are compared with the E665 data and NMC data. The results are also compared to those obtained by the fit to F_2^d produced by the NNPDF collaboration based on the NMC and BCDMS data.