High energy scattering in the saturation regime including running coupling and rare fluctuation effects

TL;DR

This paper derives an analytic expression for the S-matrix in the saturation regime considering running coupling effects and examines how rare fluctuations influence the results, finding they are less significant with running coupling.

Contribution

It provides the first analytic solution for the S-matrix including running coupling corrections in the saturation regime and analyzes the impact of rare fluctuations.

Findings

Rare fluctuations are less important with running coupling.

Analytic solution for the S-matrix including running coupling.

Evolution equations solved in the saturation regime.

Abstract

The analytic result for the $S$-matrix in the saturation regime including the running coupling is obtained. To get this result we solve the Balitsky and Kovchegov-Weigert evolution equations in the saturation regime, which include running coupling corrections. We study also the effect of rare fluctuations on top of the running coupling. We find that the rare fluctuations are less important in the running coupling case as compared to the fixed coupling case.