Q2-evolution of parton densities at small x values. Effective scale for combined H1 and ZEUS F2 data

TL;DR

This paper investigates the small-x behavior of the structure function F2 using DGLAP evolution with fixed and modified coupling constants, analyzing combined H1 and ZEUS data to determine an effective scale.

Contribution

It introduces a Bessel-inspired approach with fixed coupling to analyze F2 at small x, refining the understanding of the effective scale in combined H1 and ZEUS data.

Findings

Effective scale for F2 at small x identified

Frozen and analytic coupling modifications improve data fit

Elimination of singular anomalous dimensions at NLO

Abstract

We use the Bessel-inspired behavior of the structure function F2 at small x, obtained for a flat initial condition in the DGLAP evolution equations. We fix the scale of the coupling constant, which eliminates the singular part of anomalous dimesnions at the next-to-leading order of approximation. The approach together with the "frozen" and analytic modifications of the strong coupling constant is used to study the precise combined H1 and ZEUS data for the structure function F2 published recently.