Particular and unique solutions of DGLAP evolution equation in leading order and gluon structure function at small-x

TL;DR

This paper derives specific solutions to the LO DGLAP evolution equation for gluon structure functions at small-x, providing t and x-evolutions and comparing results with recent global parameterizations.

Contribution

It presents particular and unique solutions to the LO DGLAP equation for gluon structure functions at small-x, which is a novel analytical approach.

Findings

Derived t and x-evolutions of gluon structure function

Compared results with recent global parameterizations

Validated solutions against existing data

Abstract

We present particular and unique solutions of Dokshitzer- Gribov- Lipatov- Altarelli-Parisi (DGLAP) evolution equation for gluon structure function in leading order (LO) and obtain t and x-evolutions of gluon structure function at small-x. The results are compared with a recent global parameterization.