Running Coupling BFKL Equation and Deep Inelastic Scattering

TL;DR

This paper analyzes the BFKL equation with a running coupling to accurately describe deep inelastic scattering, showing stable perturbative expansion and successful data fits.

Contribution

It introduces a specific effective coupling form for the BFKL equation that improves the description of structure functions at small x.

Findings

The evolution of structure functions is well described by the proposed effective coupling.

Corrections to the leading order are small, indicating a stable perturbative expansion.

Global fits to data confirm the model's accuracy.

Abstract

I examine the form of the solution of the BFKL equation with running coupling relevant for deep inelastic scattering. The evolution of structure functions is precisely determined and well described by an effective coupling of the form 1/(beta_0(ln(Q^2/Lambda^2)+3.6(alpha_s(Q^2)ln(1/x))^1/2)) (until very small x). Corrections to the LO equation are relatively small, and the perturbative expansion is stable. Comparison to data via a global fit is very successful.