$F_{2}^{D(4)}$ in the Model of the Stochastic Vacuum

TL;DR

This paper calculates diffractive structure functions in deep inelastic scattering using an energy-dependent stochastic vacuum model, providing numerical results that align well with experimental data, especially in the non-perturbative regime.

Contribution

It introduces an energy-dependent modification to the stochastic vacuum model to compute diffractive structure functions and scattering amplitudes in deep inelastic scattering.

Findings

Good agreement of the diffractive slope with experimental data

Numerical results in the non-perturbative region

Effective modeling of the color dipole interaction

Abstract

In this paper a calculation for the diffractive structure functions $F_{L}^{D(4)}$ and $F_{T}^{D(4)}$ using an eikonal approximation is presented. A modified version of the model of the stochastic vacuum that includes an energy dependence is used to calculate the scattering amplitude of two Wilson loops which in our approach describe the color dipole interaction. Numerical results are presented in the $\beta$ region where the non-perturbative effects are expected to be large. The DIS diffractive cross section is also discussed. Our calculation for the diffractive slope in $t$ is in good agreement with the experiment.