Comparison of Analytical Solutions of DGLAP Evolution Equations

TL;DR

This paper explores approximate analytical solutions to the DGLAP evolution equations using regge behavior and characteristic methods, comparing results with experimental data and among different solution approaches.

Contribution

It introduces specific approximate solutions to DGLAP equations employing regge behavior and characteristic methods, covering LO and NLO evolutions for various structure functions.

Findings

Solutions agree with experimental data at low-x

Comparison among solutions shows consistency

Provides insights into t and x-evolution of structure functions

Abstract

We explain particular, unique, approximate solutions of the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations and also solutions of DGLAP evolution equations by using regge behaviour of structure functions and method of characteristic for t and x-evolutions of singlet and non-singlet structure functions in leading order (LO) and next-to-leading order (NLO). Hence t-evolution of deuteron, proton, neutron and difference of proton and neutron and x-evolution of deuteron, proton and neutron structure functions in LO and NLO at low-x from DGLAP evolution equations. The results of t and x-evolutions are compared with experimental data and global parameterization in different kinematics region. We also compare the solutions of DGLAP evolution equations among themselves.