Analysis of DIS structure functions of the nucleon within truncated Mellin moments approach

TL;DR

This paper introduces a generalized approach using truncated Mellin moments to analyze nucleon structure functions, providing a new method for evolution equations and data comparison in polarized deep inelastic scattering.

Contribution

It develops generalized evolution equations and factorization for truncated Mellin moments, enabling improved analysis of nucleon structure functions and comparison with experimental data.

Findings

TMM approach effectively describes $g_1$ integrals within limited $x$-ranges.

Comparison with HERMES and COMPASS data validates the TMM method.

Provides insights into $x$ and $Q^2$ dependence of polarized structure functions.

Abstract

We present generalized evolution equations and factorization in terms of the truncated Mellin moments (TMM) of the parton distributions and structure functions. We illustrate the $x$ and $Q^2$ dependence of TMM in the polarized case. Using the TMM approach we compare the integrals of $g_1$ with HERMES and COMPASS data from the limited $x$-ranges.