Particular and Unique solutions of DGLAP evolution equations in Next-to-Next-to-Leading Order and Structure Functions at low-x

TL;DR

This paper derives particular and unique solutions to NNLO DGLAP evolution equations at low-x, providing t-evolutions of structure functions and comparing them with experimental data and global parameterizations.

Contribution

It introduces novel solutions to NNLO DGLAP equations at low-x, enabling detailed t-evolution analysis of structure functions and their comparison with experimental results.

Findings

Good agreement with HERA and NMC data

Consistent t-evolution of structure functions

Validation against recent global parameterizations

Abstract

We present particular and unique solutions of singlet and non-singlet Dokshitzer-Gribov-Lipatov- Altarelli-Parisi (DGLAP) evolution equations in next-to-next-to-leading order (NNLO) at low-x. We obtain t-evolutions of deuteron, proton, neutron and difference and ratio of proton and neutron structure functions at low-x from DGLAP evolution equations. The results of t-evolutions are compared with HERA and NMC lox-x and low-Q2 data. We also compare our result of t-evolution of proton structure function with a recent global parameterization.