Numerical evaluation of parton distribution Mellin moments

Akbari Jahan, Diptimonta Neog

Published: 2025/9/24

Abstract

The detailed comprehension of momentum fraction and energy dependence of proton structure functions is among the major difficulties in high-energy physics. Perturbative quantum chromodynamics (QCD) plays as an extensive foundation for analysing deep inelastic scattering (DIS) and experiments with hadron-hadron collisions. In such a framework, where the hard collisions advance through the partonic components of hadrons, a pivotal contribution is imparted by parton distribution functions (PDFs). PDFs provide information about the nucleonic substructure in terms of its components. PDFs have become more and more convictive following the advent of the Large Hadron Collider (LHC). Moments of PDFs are important quantities for the analysis of hadronic internal structure. The Mellin moments of such parton densities have been discussed and their analyses have been carried out numerically.

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