Small-x behavior of the structure function F_2 and its slope partial ln(F_2)/partial ln(1/x) for "frozen" and analytic strong-coupling constants

TL;DR

This paper investigates the small-x behavior of the structure function F_2 and its slope using modified strong-coupling constants, demonstrating good agreement with HERA deep-inelastic scattering data.

Contribution

It introduces a Bessel-inspired approach within the DGLAP framework using

Findings

Good agreement with HERA data for small-x structure functions

Bessel-inspired behavior effectively models F_2 and its slope

Both

Abstract

Using the leading-twist approximation of the Wilson operator product expansion with "frozen" and analytic versions of the strong-coupling constant, we show that the Bessel-inspired behavior of the structure function F_2 and its slope\break partial ln(F_2)/partial ln(1/x) at small values of x, obtained for a flat initial condition in the DGLAP evolution equations, leads to good agreement with experimental data of deep-inelastic scattering at DESY HERA.