Small x behavior of parton distributions. Analytical and "frozen" coupling constants. BFKL corrections

TL;DR

This paper investigates the small-x behavior of parton distributions using analytical and frozen coupling constants, demonstrating that Bessel-inspired models align well with HERA deep inelastic scattering data.

Contribution

It introduces a Bessel-inspired approach within the leading twist approximation with frozen and analytic couplings to describe small-x structure functions.

Findings

Bessel-inspired behavior matches experimental data at small x.

Frozen and analytic couplings improve theoretical predictions.

The approach provides a good description of F2 and its derivatives.

Abstract

It is shown that in the leading twist approximation of the Wilson operator product expansion with "frozen" and analytic strong coupling constants, Bessel-inspired behavior of the structure functions F2 and F2cc and also the derivative d(ln F2)/d(ln(1/x)) at small x values, obtained for a flat initial condition in the DGLAP evolution equations, leads to good agreement with the deep inelastic scattering experimental data from HERA.